loss-manifest / LOSS_MANIFEST.md
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manifest 168 -> 169: L-019 retracted (rule 6), L-162/L-169 consensus-frame scope split (mean+rotation vs reference-member)
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LOSS MANIFEST - every objective this program has back-propagated, rated

#TAG:loss_manifest #TAG:accumulation #TAG:losses #TAG:rubric [CENSUS-VERIFIED 2026-07-25 - three independent censuses: canon+MANIFEST, history+sessions, full code tree] Living registry (SCALE_MANIFEST discipline): entries are NEVER deleted - demoted with a reason and a date. Rubric v1; every rating below is RECOMPUTABLE from its six sub-score digits and the lookup table in THE RUBRIC. Machine-readable sidecar: inventory/loss_manifest.json. Views + lint: python skill/loss_view.py card|ladder|lint. Taxonomy and format laws: canon/loss_accumulation_forms.md.

THE RATING ANSWERS: "how much would I stake on this term in a NEW bed" - NOT effect size. InfoNCE is the most potent term in the census and rates 2.

THE STRUCTURAL FINDING (read before any row)

Only three primitives ever receive a backward pass in this program: F.cross_entropy, squared error, and F.kl_div (plus fp64 Cayley-Menger determinants in gauges). No margin, triplet, hinge, contrastive-margin, or load-balancing loss has ever existed in the tree.

The four objectives that look composed are those same primitives under different accumulation formats: InfoNCE is CE over an N x N grid; blob-LP-x0 is squared error dose-coupled and band-routed; HP/LP band roles are squared error under a cosine crossfade; CV is a determinant statistic accumulated in fp64.

So the loss surface is three primitives wide and eleven accumulation formats deep, and every loss discovery this program has made lives on the second axis. Two receipts:

  • The addr_head cure changed accumulation only, primitive held fixed. 5.6650 bpb with usage perplexity 1.88/64 (collapsed) -> 2.47 by going slot-parallel. Same F.cross_entropy on both sides. (L-112 -> L-012)
  • Chunked CE and plain CE are identical mathematics and a 5x memory law. 22.8GB dedicated + 42.8GB silently spilled to shared memory -> 8.8GB peak at 1.03 s/step. The law lives entirely in the reduction schedule. (L-004)

A third receipt sits in the forbidden class. A10 - accumulation that carries state across steps (EMA codebooks, commitment counters, k-means centroids) - contains exactly two entries, and both are prohibitions (L-105 VQ/commitment/EMA, L-134 load-balancing). Not one working objective in the program's history has ever used that format. It is precisely where a newcomer would naturally write code, and the empirical warrant for not doing so is L-083: the codebook stays 125+/128 axes alive at div_weight = 0, with no diversity term at all.

A9 (raw sum, no denominator) is empty for a duller reason: the scale rides on batch and sequence length, so the learning rate stops transferring between beds.

THE RUBRIC (how every number below was produced)

Six sub-scores, summed to S_raw (0-13), then a lookup table - not arithmetic, so anyone can re-derive a rating without trusting a float:

sub-score 0 1 2 3
R replication designed, never run one seed, one bed >=2 seeds OR >=2 beds >=2 seeds AND >=2 beds/substrates
P potency vs its own gauge's noise null / within noise / wrong direction directional but <1% or below seed spread 1-10%, or an ordinal win above seed spread >10%, categorical enable, or 50-200x separation
D doctrinal fit violates a MANIFEST law permitted but antagonistic aligned/reconstructive, or a gated exception with a written statute -
C cost recorded catastrophic-cost event material but budgeted free or near-free -
I instrument risk headline rests on a DISTRUSTED gauge, or the term can silently become zero with no assert aggregate-only; gauge-blindness plausible dedicated non-blind gauge AND a silent-zero assert -
+L law bonus - encoded as a MANIFEST law and enforced in code (assert, refusal, or guard) - -
S_raw:  0  1  2  3  4  5  6  7  8  9 10 11 12 13
rating: 1  1  2  3  3  4  5  6  7  8  8  9 10 10

The nine traceability rules (applied in this order, after the lookup):

  1. UNRUN CEILING - R=0 => rating <= 3. A beautiful design does not score on paper.
  2. BLIND-GAUGE DEMOTION - headline from a DISTRUSTED gauge, not re-measured => -2.
  3. SINGLE-SEED CAP - R<=1 => rating <= 6.
  4. SUB-1% CAP - P<=1 => rating <= 5. Four-for-four directional at 0.05-0.2% cannot outrank a measured 5.9%.
  5. DOCTRINE-ZERO CEILING - D=0 => rating <= 2.
  6. RETRACTION FLOOR-BREAKER - a dated retraction, demotion, or REFUTED verdict anywhere in the record => rating = 1, unconditional. Sub-scores are still printed so you can see why it once looked good. Retracted entries never compete on the ladder.
  7. CONTRADICTION - unreconciled records get a RANGE or a marked sub-claim, never an average.
  8. PROVENANCE - every sub-score digit is backed by the row's citations. An uncited digit forces the unrun ceiling.
  9. SCOPE / GAUGE SPLIT - a term whose standing differs by scope or by judging instrument gets TWO adjacent rows, never one averaged row.

Calibration - three pairs that prove the rubric works

  • L-048 rates 8 and L-123 rates 4. Same objective, same seeds, same data. The only difference is which gauge judged it: the role-aligned in-bed gauge, or aggregate eps-MSE. This pair is the concrete price of gauge blindness.
  • L-047 rates 6 and L-111 rates 1. Same operator - Procrustes. As a regularizer it tightens CV to .19; as a training force it produced R@1 = 0.000 and P_cos stuck at .094 for thirty epochs. Campaign law 2 restated in loss terms: placement decides load-bearingness.
  • L-113 rates 2 and L-001 rates 10. The most potent measured objective in the census against the plainest one. If that ordering is surprising, the rubric is working: potency and standing are different axes.

THE GRID - PRIMITIVE x ACCUMULATION FORMAT

accumulation CE SQ KL DET BREG - row
A0 uniform-mean 28 29 2 3 4 22 88
A1 chunk-sum-renormalize 1 . . . . . 1
A2 per-sample-then-weighted 4 3 . 1 . 2 10
A3 band-crossfade . 3 . . . 6 9
A4 masked-denominator 5 . 1 . . . 6
A5 dose-coupled . 2 . . . 1 3
A6 paired-difference . . . . . 3 3
A7 grid-pairwise 11 . 1 . . . 12
A8 fp64-accumulate . 1 . 3 . 4 8
A9 sum-no-norm 1 . . . . . 1
A10 EMA / external cross-step state 1 1 . . . . 2 PROHIBITIONS ONLY
NA not an accumulation . 1 . . . 25 26

Rating distribution (n=169, mean 5.95): 1x31 2x2 3x4 4x3 5x32 6x23 7x8 8x21 9x26 10x19

Glyphs: retraction floor-breaker | doctrine ceiling | split sibling (scope or gauge) | unreconciled contradiction

THE FORMULA MAP - every entry's mathematics and where it runs

Extracted 2026-07-25 (operator directive: the process is the ROSTER). 'NOT RECORDED' is itself information - those formulas were never written down anywhere and their numbers cannot be reproduced without re-derivation. Machine copy in the sidecar.

ID FORMULA IMPLEMENTATION
L-001 L = mean((dec(z) - x)^2); convergence endpoint = bitwise-exact recon geolip_svae (installed pkg) . loss_forms::prim_sq+a0_mean
L-002 M_hat = sum_k sinh(u_k)A_k / sum_k cosh(u_k), u = cos(x,A)/tau; L = mean((dec(M_hat)-x)^2); codebook grad ONLY via num@A and cos=M@A^T amoe.core.address::m_hat + geolip_svae aleph_model.py . loss_forms::prim_sq
L-003 L = mean(-log softmax(W h)[y]) pod/v35_exp001_placement.py:170 . loss_forms::prim_ce+a0_mean
L-004 L = sum_chunks CE_sum(h[i:i+512]) / n_live_tokens (ONE global denominator) loss_forms::a1_chunked_ce . pod/v35_exp003_termination.py:128-138
L-005 CE(logits[:,:-1], y[:,1:], ignore_index=-100) pod/v35_exp006_math.py:180 . loss_forms::prim_ce+a4_masked
L-006 model(**batch, labels=y).loss (masked shift-CE inside HF; vision tower fires) pod/v35_exp004_caption.py:175 (chunking unavailable on this path)
L-007 same CE; trainable set = per-block dispatch key matrices ONLY closeout amoe/train/aligner.py:41-67
L-008 CE(logits, y) on CIFAR-10 tools/addressed_distillation_v1.py:301
L-009 x_t = sqrt(abar_t)x0 + sqrt(1-abar_t)eps, t~U{0..999}; L = mse(unet(x_t,t,c), eps); CFG drop p=.1 pod2/dexp006_sd15core_relay.py:132-146 . amoe.diffusion.train.objectives
L-010 s = warp(u; shift=2.5); x_t = (1-s)x0 + s*eps; L = mse(pred, eps - x0); x0 = x_t - s*v EXACT/LINEAR pod2/dexp001_sd15_relay.py:151-164 . amoe objectives.py:51-58
L-011 `M_hard = sign(cos[argmax cos
L-012 feats = concat_p M_hat^(p)(slots); logits = W feats; CE. P=4/16/32/64 dose tools/ar_differentiation_bed.py (addr_msl* arms)
L-013 reads at multiple tau; concat -> logits; CE (stroboscope) tools/ar_differentiation_bed.py (addr_3tau arm)
L-014 logits = head(M_hat) directly (reconstructive read consumed in AR); CE tools/ar_differentiation_bed.py (addr_mhat arm)
L-015 shift-CE(-100) on stepwise-CoT target sequences vs direct-answer targets pod/v35_exp013_experts.py:211
L-016 L = mean_B[ mse_vec + lam*w_HIGH(s01)*blob_lp ]; blob_lp = sum(blob*(LP(x0h)-LP(x0))^2)/(sum(blob)*C); x0h = x_t - s*v_hat closeout amoe/diffusion/train/objectives.py:63-69 [REFUSES on eps]
L-017 sym CE over sims = za@zb^T/0.07 with in-batch labels loss_forms::a7_grid_infonce . tools/qwen_exp011_newanchors.py:445-453
L-018 `InfoNCE1.0 + Procrustes_SVD0.3 + CV(bank)-0.20
L-019 InfoNCE + MSE + BCE + Procrustes + CV + spread (6-term, never ablated) external (Expert Soup, Form 2)
L-020 mse(norm(pred), norm(tgt)) + (1 - cos(pred, tgt)) on (B,77,768) external (Form 4) . pieces in loss_forms
L-021 w = min(SNR,5)/(SNR+1) velocity-adjusted; L = mean(w * mse_vec) external (KSimplex trainer) . loss_forms::a2_weighted
L-022 L = CE + a*KL(log_softmax(student), mean_k softmax(teacher_k).detach()), a<=0.25, never founders tools/exp014_genetic_distillation.py:249-255 . loss_forms::prim_kl+kd_guard
L-023 fact rows: KL(teacher) ONLY (CE masked off); clean rows: CE - row-routed channels tools/exp019_content_retention.py:158-176
L-024 GPA: mean shape after per-teacher Procrustes to consensus (delta<1e-8); student anchors init from it tools/exp014-016 (dif line)
L-025 projective ICP: iterate sign-aligned Procrustes on RP; germline overwrite tools/exp015_content_heredity.py (dif line)
L-026 prox = exp(-(cv-target)^2/2sig^2); L = (1+boost*prox)*mse + pen*(1-prox) geolip_core.core.distinguish (installed pkg) . loss_forms::soft_hand_weights
L-027 conv := fold(m_hat(unfold(x))); no plain filter, no ReLU; CE on head geolip-aleph-classification (external repo, cls line)
L-028 `score(v) = logP(x_i=v x_masked) - logP(x_i=WT
L-029 CE; trainable = aleph MslRelay adapters on frozen GPT-2 (<1%) tools/exp013_augmentation_bed.py track C
L-030 CE on frozen CLIP-L token-AR (matched transforms + shared vocab proj) tools/exp013_augmentation_bed.py track A
L-031 SOURCE RECOVERED 2026-07-25: attraction (1-s_y)^2 + 0.5*repulsion sum_{c!=y}(s_c^2) + 0.5*margin relu(max_{c!=y}s_c - s_y + .3) + 0.1*range clamp; siblings: prototype (cos-to-learned-prototypes + diversity) and hierarchical (coarse+fine+consistency) geofractal.losses.pure_geometric (installed pkg, VERBATIM) . tools/geobasin_bed.py
L-032 SOURCE RECOVERED 2026-07-25 (GBC head, geofractal/model/experiment_geometric_basin.py:118): compat = triadic (resonance-weighted cos to class signatures) x self-similarity (level-pair pattern match) x Cantor coherence exp(-(m - proto_c)^2/.1) x hierarchical early/late check - the 4-factor product geofractal.model.experiment_geometric_basin::GeometricBasinCompatibility (installed pkg)
L-033 mask patches; L = mse(recon_from_antipode_read(masked), x) (law 2 ORIGINAL form) built-unrun in geolip-aleph-classification (cls line)
L-034 w=.05 entropy-balanced alignment (exact form NOT fully recorded); endpoint M = +/-ref EXACT external (SVAE H2 arc)
L-035 rectified-flow velocity mse + Min-SNR gamma=5 + CM terms (L-045/L-046) external (KSimplex 4.8M prior)
L-036 `ArcFace cos(th+m) CosFace cos(th)-m
L-037 CE on x0 tokens from noise-level-t corrupted tokens, iterative q25-e008 bed (pod archive)
L-038 L = mse(ea, norm(frozen_h @ fixed_proj)) + mse(eb, ...) (absolute target regression) tools/qwen_exp011_newanchors.py:449-453
L-039 standard contrastive; measured as a CV-compression force external (cv_band_origin sweep)
L-040 V = sqrt(clamp(-det(CM(A[idx5]))/9216)); L += 1e-3 * std(V)/mean(V); fp64, fixed seed-0 subsets, S15 bank ONLY tools/exp017_aleph_constellation.py:154-186 . loss_forms::cv_band_loss (NEW, arm-gated)
L-041 `M = F.normalize(M, dim=-1) (
L-042 `per tower: g <- g * target/
L-043 Sp = S * (1 + a*tanh(f)), a <= 0.2, init .024 - modulate never inject external (omega line)
L-044 p = softmax(-(y-[.5,1.5,2.5])^2/.25); bit_k = p_R + 0.5*p_M; C = sum bit_k 2^-k tools/compartment_smoke.py::exact_cantor + soft_cantor_ungated
L-045 L_CM = .01 * relu(eps - vol2(CM)) on first k+1 tokens (validity hinge) loss_forms::cm_validity_hinge (NEW) . external KSimplex
L-046 `L_vol = -.005 * std(log vol^2
L-047 `L =
L-048 low = base + .5*mse(HP3(pred),HP3(tgt)); high = base + .5*mse(LP7,..); composed by band windows [role-aligned gauge] closeout amoe/diffusion/train/objectives.py:74-80
L-049 dropout(anchors, p=.3) during alignment external (constellation)
L-050 clip_grad_norm .5 on cross-attn ONLY; NEVER inside an LBFGS closure protocol
L-051 Adam(params, lr, weight_decay=0.0) - the ONLY constructor closeout amoe/laws.py:26-28
L-052 zeros_(head.weight); zeros_(head.bias); gates = -3.0 closeout amoe relay.py:49-52
L-053 g_tang pass; g_radial *= (1-.01); g_collapse *= 1.0 (gradient gating) external (GM3 Form 12; ALEPH-OMITTED)
L-054 q_comp = R (Hamilton) q_expert over 4 FiLM arms external (protein line)
L-055 Q = (I-A)(I+A)^-1, A skew - det=1 by construction external (protein line)
L-056 k-step MLP cascade in place of one dimensional jump structural, external
L-057 w_route = f(phase-0 triangulation distances), softmax-free, geometry-derived external (Form 6)
L-058 exact softmax within sorted equal-width same-bucket block; codebook grad via address-agreement bias design (Tree 3b pending)
L-059 M_hard + (M_soft - sg[M_soft]) (STE over an ABSOLUTE reconstructive read) amoe.core.address / geolip_svae
L-060 n_i_new = min(ceil(norm * n_i^0.5), 8, 1.25*top) (sqrt-damped repeats) external (anima bucketing)
L-061 `assert question_space
L-062 on starvation strike: sampling_weight[starved] *= 2; 3 strikes abort - DATA, never a loss closeout amoe/train/aligner.py:68-84
L-063 with p=.1: cond <- 0 (zeroed, not empty-prompt) pod2/dexp006:132-146
L-064 NOT RECORDED (role-weighted pentachoron regularization; rose_w=1e-4, temp .07) external (David classifier)
L-065 ramp(x)=.5-.5cos(pi*(clamp(x/XF,-1,1)+1)/2); low=1-up1; mid=up1(1-up2); high=up1*up2; edges(.35,.75) XF=.06 closeout amoe/diffusion/core/multiband.py:23-35 . compartment_smoke::compartment_windows
L-066 L = base + lam * w_route * aux, lam~1 (3-pt dose curve) loss_forms::a5_dose_coupled
L-067 reduce in float64, autocast off (gauges) loss_forms::a8_fp64_gauge . geolip_vitals
L-068 acc = mean_fp64(res_arm(row,noise,t) - res_ref(row,noise,t)), triples FIXED per row loss_forms::a6_paired . dexp001:167-185
L-069 w = f(pi_frozen_ref); L = sum(w*ce_tok)/sum(w) loss_forms::pwa_weights+a2_weighted [gate: 0.014-0.083]
L-070 v = norm(feats)@R^T/t; L = mean(cosh(clamp(v - c_y*mu, -4, 4)) - 1) loss_forms::fac_loss . tools/fac_bed.py
L-071 CV = std(V)/mean(V), V = CM 4-volumes over 200 random 5-subsets, fp64 - READOUT tools/geolip_vitals.py::pentachoron_cv
L-072 `drift = arccos(<norm(a), norm(a_init)>); binding_frac = mean( drift-.29154
L-073 bpb = mean CE / ln(2) per byte beds (ar_differentiation, fac_bed)
L-074 `tax = exp(mean CE_512) adapted - exp(mean CE_512)
L-075 F1 = 2PR/(P+R) over token multisets vs GT captions pod v35 judges
L-076 `precision = pred inter GT
L-077 sep_L = mean_ij inter-register Ham(code_i,code_j) - mean intra (diagonal KEPT, +4% bias, comparability) pod2/aleph_diffusion_core.py:257-290 . canon/register_probe_gauge.md
L-078 `Spearman(Hamming(c_i,c_j), arccos <a_i,a_j>
L-079 HIGH-band foreground-masked LP-x0 error (fp32 judged) closeout amoe/diagnostics/diffusion.py::foreground_gauge
L-080 assert torch.equal(logits_all_off, logits_base) closeout amoe/testing/invariants.py:76-97
L-081 ratio = damage(own band lesion) / damage(cross band lesion) per gauge closeout amoe/diagnostics/diffusion.py::lesion_report
L-082 excess = metric(real keys) - metric(SAME key repeated); + matched-vs-mismatched delta pod2/dexp015_router_v2.py:159-191
L-083 usage = mean oriented-softmax row; ppl = exp(H(usage)); alive = usage > eps/2K tools/geolip_vitals.py::axis_aliveness
L-084 `read ppl = exp(H(mean read weights)); commitment = cos(read, nearest atom)
L-085 `ratio = mean delta
L-086 exact-match on two-step composite prompts vs single-step controls pod v35 composite judges
L-087 `effect = mean loss_off - loss_on
L-088 `orders = log10(max group
L-089 CV at step 1000 -> band {<.30 LOW / .35-.50 MID / >.80 HIGH} + stability + freeze-survival tools/geolip_vitals.py::CVScreen
L-090 `ripser H2 on d(a,b)=arccos <a,b>
L-091 S0/S_D spectral ratio; erank = exp(-sum p ln p), p = sigma/sum sigma external (structural attractors)
L-092 var(recon MSE) across patch grids 81..4096 - flatness IS the pass external (omega line)
L-093 guarded subprocess: restricted builtins, len cap, timeout, no net; exact-match out pod v35 exec judge (protocol)
L-094 json.parse validity + IoU(xywh) + pair-order + termination-within-window pod v35 judges
L-095 torch.cuda.max_memory_allocated + s/step at an early step (WDDM spill tell) telemetry; pod/run_g6b_rider.py:34-48
L-096 drift_g = arccos(<consensus_g, consensus_prev>); stationarity = no acceleration tools (dif line)
L-097 held-out byte acc under substitution cipher; variant-format recall tools/exp019/exp020
L-098 NN symbol-Hamming between stored and recomputed keys; match@theta=.25 tools/exp021_persistent_store.py
L-099 mean cos(book_epoch, book_init) across the bank sweep external (192-bank sweep)
L-100 ` V_fast - V_geovocab2
L-101 gate_mean = mean sigmoid(g); band [.012,.03] ADVISORY tools/geolip_vitals.py::gate_stats
L-102 mean mse over all sigma - BLIND to band structure (distrusted for bands) prim_sq+a0 (the point is what it hides)
L-103 cos(recon, x) - WRONG instrument for addressed systems (address = lookup key) distrusted; do not implement as a judge
L-104 recall@k under Hamming(code_query, code_bank) tools/qwen_exp011 (q25 line)
L-105 `
L-106 selection event = argmax/softmax-over-roster in the compute path prohibited class (the EVENT is the violation, not one formula)
L-107 alphabet learned by task gradient (vs fitted-frozen) prohibited class (dif line evidence)
L-108 direct task-gradient descent on pentachoron vertices prohibited (geovocab evidence)
L-109 gap = x.mean(dim=spatial) in a geometric encoder loss_forms::forbidden_gap (NEW, force-gated control)
L-110 CV term injected in backward, or weight > 1e-3 prohibited placement of L-040
L-111 same as L-047 - AS THE TRAINING FORCE (placement retracted) loss_forms::procrustes_sq [placement warning]
L-112 logits = W u, u = single-slot coefficients at hard tau (K=32) tools/ar_differentiation_bed.py (addr_head) . fac_bed p4 cells
L-113 a7_grid_infonce INTO an address path loss_forms::a7 [placement ban in docstring]
L-114 prim_kl at alpha=1.0 from near-parity teachers in a selection loop loss_forms::prim_kl+kd_guard [guard warns]
L-115 L-016 with x0h = (x_t - sqrt(1-abar)eps_hat)/sqrt(abar) - divides by vanishing sqrt(abar) closeout amoe trainer [REFUSES unless force_blob_on_eps]
L-116 keep-or-kill on 1-epoch MSE rank retracted protocol; replaced by L-089
L-117 logits = tied(M_hat) with U=M_hat, S=Omega, Vt=I dif-e018 bed (tools)
L-118 route experts by frozen text keys (raw/pooled/M-hat-slot) vs repeated-key null pod2/dexp014/dexp015 beds
L-119 a trainable anchor trained to orchestrate others (composite prereg >= +.15) pod v35_exp010/exp020 beds (refuted)
L-120 solo specialist stack attached always-on configuration class (v35 e018 evidence)
L-121 frozen solo-trained experts composed under dispatch pod v35_exp014 beds (demoted)
L-122 transplant proj+codebook onto a fresh trunk NA protocol (dif line, demoted)
L-123 L-048 judged by aggregate eps-MSE same impl; the GAUGE is the difference
L-124 append frozen byte-trigram address beside full text cond pod2/dexp002 bed
L-125 null = shuffle keys across rows (measures diversity, not correctness) retracted instrument; use L-082
L-126 CE on generated question sets with space < 3x draws retracted claim; guard = L-061
L-127 cross-seed comparison across DIFFERENT instruments NA (claim-level error)
L-128 bands nested within bands on a Cantor axis prohibited configuration
L-129 re-enter measure space per layer/step prohibited configuration
L-130 soft_cantor_ungated(x) used as a band COORDINATE (non-monotone) tools/compartment_smoke.py::soft_cantor_ungated (as the regression)
L-131 repeat count = ceil(max_bucket / n_i) (alpha=0 equalize-to-largest) NA data policy (prohibited)
L-132 conv re-weighted by convex sum a_k=1 over a filter bank (hull-bounded mean) geolip-aleph-classification (cautionary control, cls line)
L-133 argmax decoding in an iterative denoiser NA decoding policy
L-134 aux = alpha * N * sum_i f_i * P_i (switch-style balance) loss_forms::forbidden_load_balancing (NEW, force-gated control)
L-135 CE on the big-JSON composite format dropped by operator ruling (never built)
L-136 learned SVD rotation transform in the dual-penta head retracted (convergence failure)
L-137 coefficients->logits at ONE hard tau, any dim class of L-112; cure = L-012/L-013
L-138 L-070 on the addr_head collapse configuration tools/fac_bed.py (p4_addr_head_fac)
L-139 sparsemax_loss on addr_head logits (K=32, hard tau) - only the loss differs from the certified collapse cell tools/deviant_bed.py (p4_sparsemax) . loss_forms::sparsemax_loss
L-140 L = -z_y + 0.5*sum_{j in S}(z_j^2 - tau^2) + 0.5 (sparse support S) loss_forms::sparsemax_loss . tools/deviant_bed.py
L-141 L = T*logsumexp(ce_tok/T) - T*log(N), T=0.5 loss_forms::dev_softmax_accum . tools/deviant_bed.py
L-142 L = mean(log(ce_tok + 1e-3)) loss_forms::dev_geomean_accum . tools/deviant_bed.py
L-143 CE to (1-eps) smoothed targets == (1-eps)CE + eps*uniform-KL F.cross_entropy(label_smoothing=.1) . tools/deviant_bed.py
L-144 L = sum((1-p_y)^2 * ce_tok) / sum((1-p_y)^2), p_y detached from the live model tools/deviant_bed.py (focal)
L-145 L = sum(ce_tok * [pi_ref > .6]) / count, pi_ref from the frozen ce_s0 checkpoint tools/deviant_bed.py (anti_curr)
L-146 L = mean(1 - tanh(v) * c) loss_forms::fac_loss_link(link='tanh') . tools/deviant_bed.py
L-147 L = mean(log(1 + (v - c*mu)^2)) loss_forms::fac_loss_link(link='cauchy') . tools/deviant_bed.py
L-148 L = CE - 0.1*H(p) tools/deviant_bed.py (conf_penalty_CONTROL)
L-149 CE over logits = cos(normalize(feats), normalize(A_c)) * 10 tools/geobasin_bed.py (geo_ce_scores)
L-150 attraction (1-s_y)^2 + 0.5*sum_{c!=y}s_c^2 + 0.5*relu(max_{c!=y}s_c - s_y + .3) + 0.1*range geofractal.losses.pure_geometric (VERBATIM) . tools/geobasin_bed.py
L-151 same loss; A registered as a frozen buffer tools/geobasin_bed.py (geo_pure_frozen)
L-152 L = (1 - s_y)^2 + 0.1*(relu(s-1)^2 + relu(-s)^2) - no other-class terms at all tools/geobasin_bed.py (geo_pure_norep)
L-153 cos(proj(scores), prototypes) pulled/pushed + prototype-diversity term geofractal.losses.pure_geometric::GeometricPrototypeLoss (VERBATIM)
L-154 coarse (superclass sums to target) + fine + consistency, sigmoid-weighted geofractal.losses.pure_geometric::HierarchicalGeometricLoss (VERBATIM, FastHierarchical parity wrapper)
L-155 0.5*CE(cos*10) + 0.5*PureGeometricLoss(scores) tools/geobasin_bed.py (geo_hybrid)
L-156 mean((z_s - z_t)^2), targets L2-normalized tools/dist_bed.py loss_of feature_mse (loss_forms.prim_sq)
L-157 0.5*[CE(sim/t, diag) + CE(sim.T/t, diag)], sim = z_s @ z_t.T tools/dist_bed.py loss_of infonce (loss_forms.a7_grid_infonce)
L-158 mean(BCE(sim*t' + b, I)) per pair, no batch denominator tools/loss_forms.py siglip_pairwise_loss
L-159 `KL(softmax(sim_t/t)
L-160 `a7_grid_infonce + 0.3procrustes_sq(fp64 R) + 1e-3 CV16-0.20
L-161 mean((z_s - gpa(z_t1..t5))^2), GPA cached iter-5 align .9401 tools/dist_bed.py loss_of consensus_gpa (target build_gpa)
L-162 a7_grid_infonce(zs, zt_gpa, t=.07) + prim_sq(zs, zt_gpa).sum(-1).mean() tools/dist_bed.py loss_of consensus_nce_mse
L-163 `1.0expert_agreement + 1.0rotation_ortho + 0.5anchor_spread + 0.1anchor_entropy + 0.3cross_expert_var + 0.3 bank_cv-t
L-164 a7_grid_infonce + 0.5*prim_sq.mean() + 0.3*BCE(frozen_head) + 0.5*centered_cos + 1e-3*x3_cv + EA(tang .01, sep 1.0) tools/dist_bed.py loss_of x3_full
L-165 0.3 * BCE_logits(frozen_linear80(zs), labels) tools/dist_bed.py loss_of x3_bce + _fit_teacher_head
L-166 backward: g <- (g - radial) + tang*radial; g <- g - sep*(g.nearest_anchor)_+ ; forward identity tools/loss_forms.py EmbeddingAutograd
L-167 `1e-3 * CV_16sets(emb) - cv_target
L-168 a7_grid_infonce + prim_sq.mean() + 0.1*x3_cv_loss; AdamW(3e-4, wd .01) + LinearLR(1000) + cosine(1e-6) + clip 1.0 tools/dist_bed.py loss_of cbert_full + train_arm sched branch
L-169 a7_grid_infonce(zs, zt_ref, t=.07) + prim_sq(zs, zt_ref).sum(-1).mean(); zt_ref = normalized centroid of teachers whitened-Procrustes-mapped into a REFERENCE MEMBER's frame tools/captionbert_8192_v2.py (stage 1 maps + stage 3 loss)

PRIMARY OBJECTIVES

Terms that were the training signal, not an addition to one.

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-001 10 33222+1 SQ.A0/bytes MSE -> bitwise reconstruction (SVAE H2, 16 noise types) 16 noise types converge simultaneously; bitwise text recon; the two-year survivor MANIFEST.md:133-139; MANIFEST.md:144-145
L-002 10 33222+1 SQ.A0/codebook recon gradient through M-hat (the aleph's ONLY codebook pressure) cos .992-.997 hard-mode, 125-126/128 axes alive, ZERO collapse, div_weight=0 canon/aleph_core.md:16-18; canon/discovery_catalog.md:40-44
L-162 10⟂ 33222+0 CE.A7/consensus-embedding consensus NCE+MSE composite on a MEAN consensus (CaptionBert Stage-A form, vision; rotation required) THE CROWN AT SCALE: consensus composite + rotation beats direct deployment-teacher distillation on EVERY task gauge 2/2 (CC12M 11x data); local COCO verdict was BETWEEN - scale promoted it tools/dist_runs/consensus_nce_mse_s0.jsonl; tools/dist_runs/vitbank_s0.jsonl
L-169 10⟂ 33222+0 CE.A7/consensus-embedding consensus NCE+MSE composite on a REFERENCE-MEMBER consensus (captionbert-8192-v2/-b, text; NO rotation) THE SIBLING OF L-162 AND THE CHEAPER DEPLOYMENT: same objective, but the consensus is aligned to a REFERENCE MEMBER (bert-base) instead of a running mean, so the frame gap collapses monotonically to +.0010 and NO rotation ships. Student beats its best teacher (.6077 vs distilbert .5883) at 13% of the teachers' combined params; replicated on a second trunk (-b .6031, a null on 19% more data) repos/captionbert-v2.md; repos/captionbert-b.md
L-012 9 33212+0 CE.A2/coefficients addr_msl slot-parallel read (P parallel D=4 slots, shared K=64) THE ACCUMULATION CURE: 5.6650 (collapsed) -> 2.47 with the primitive held FIXED history/timeline.md:124-138; history/timeline.md:1098-1104
L-015 9 33212+0 CE.A4/logits derived-steps expert supervision (stepwise-CoT target vs direct target) +0.79 vs direct +0.63; held-out ceiling 1.00/1.00; seeds matched to 4 decimals (+0.7917 / +0.7916) inventory/SCALE_MANIFEST.md:144-154; history/timeline.md:1640
L-157 9 33212+0 CE.A7/similarity-grid symmetric InfoNCE distillation (student<->teacher, t=0.07) R@1 .0580/.0544 = 2.2x feature_mse 2/2; zs-C100 .0939/.0847 wins 2/2 (+3.2/+2.2pt); erank 184; cv16 lands the S^15 band NATIVELY tools/dist_runs/; canon/clip_mini_distillation.md
L-004 9 23122+1 CE.A1/logits chunked masked CE (512-token slices, sum-then-renormalize) 22.8GB dedicated + 42.8GB SILENTLY SHARED -> 8.8GB peak @ 1.03 s/step MANIFEST.md:50-59; pod/v35_exp003_termination.py:128-138
L-138 9⟂ 23222+0 BREG.A0/coefficients FAC on the partition-collapse configuration (the P4 loss-swap cell) the certified addr_head collapse DECOMPRESSES under a loss swap alone, 3/3 seeds: usage ppl 1.0-2.7 -> 60.6-61.1 of 64; decoded acc 0.05-0.20 -> 0.45-0.47; the win cos
L-139 9 23222+0 CE.A0/logits sparsemax on the collapse configuration (the coupling-axis probe) THE DOSE-RESPONSE: usage 1.85 (CE, full coupling) -> 23.5 (sparsemax, partial) -> 60.9 (FAC, none); win cos
L-152 9 23222+0 SQ.A0/basin-scores PureGeometric ABSOLUTE-ONLY (attraction + range; comparative terms dropped) MORE THAN DOUBLES the full set: acc 0.349 vs 0.157, bpb 3.75 vs 7.52, 3/3 seeds - the comparative terms are the poison tools/geobasin_runs/; history/timeline.md 2026-07-25 geobasin block
L-010 9 32212+1 SQ.A0/x0-linear flow v-MSE (rectified flow, SHIFT-warped sigma) x0 = x_t - sigma*v is EXACT and LINEAR at every sigma - asserted, not assumed pod2/dexp001_sd15_relay.py:151-164; closeout_2026-07-19/amoe/src/amoe/diffusion/train/objectives.py:51-58
L-003 8⚠ 33121+0 CE.A0/logits plain full-sequence cross-entropy (packed labels) the workhorse; also the documented geometry antagonist - CE drove the Oct '25 geometric collapse pod/v35_exp001_placement.py:170; tools/ar_differentiation_bed.py:423
L-017 8⟂ 33111+0 CE.A7/similarity-grid InfoNCE as an alignment force (OFF address paths) NECESSARY + SUFFICIENT for alignment: swap it in -> R@1 .999 canon/geometric_memory_blueprint.md:7-8; canon/geometric_memory_blueprint.md:20
L-005 8 32121+0 CE.A4/logits shift-CE with ignore_index=-100 (prefix-masked instruction rows) the standard instruction-tuning form across the v35 and q25 lines pod/v35_exp006_math.py:180; pod/v35_exp013_experts.py:211
L-009 8 32211+0 SQ.A0/eps eps-MSE (epsilon prediction, stock schedule) relay -2.5% over frozen, 2 seeds; relay >= matched LoRA 2-for-2 across substrates pod2/dexp006_sd15core_relay.py:132-146; history/timeline.md:1337-1350
L-011 8 32122+0 CE.A0/logits sign-code head addr_mslh64 (fully discrete forward, STE backward) bpb 2.4711 vs soft 2.4685 - parity certified 3 seeds; a ~2.8% gap opens at 4x budget history/timeline.md:249-283; inventory/SCALE_MANIFEST.md:64-71
L-159 8 32221+0 KL.A7/similarity-grid affinity-KL distillation (TinyCLIP row-softmax mimicking) FRAME AMBIGUITY PROVEN 2/2: agree_cos -0.021/-0.002 (orthogonal to teacher frame, zs floor .109/.111, erank 175 healthy - the tell) yet ONE fitted rotation recovers agree .501/.497 and zs .240/.218 - geometry learned, gauge free, both seeds tools/dist_runs/; canon/clip_mini_distillation.md
L-161 8 32221+0 SQ.A0/consensus-embedding consensus-GPA distillation (MSE to projective-ICP/GPA mean of 5 CLIP towers) P7 REFUTED at the letter (raw zs .154/.161 loses to single-teacher 2/2) BUT post-rotation agree->LAION .7132/.7116 EQUALS feature_mse's in-frame .714/.718 both seeds: the GPA mean shape carries the geometry, loses only the gauge tools/dist_runs/; canon/clip_mini_distillation.md
L-168 8 32212+0 CE.A7/consensus-embedding CaptionBert Stage-A VERBATIM replication on the vision student (elem-MSE 1.0 + CV 0.1 + AdamW/warmup/cosine/clip) THE REPLICATION ANCHOR 2/2 (prototype-replication law's first yield): the faithful recipe is WORSE than the adaptation on nearly every gauge — agree .4113/.4120 vs .672/.670, zs_rot .213/.221 vs .232/.264, probe .390/.386 vs .401/.394 — so the bank refutation was NOT adaptation damage; the adaptation is the stronger Stage-A tools/dist_runs/x3_queue.log; tools/dist_runs/vitbank_s0.jsonl
L-149 8 22222+0 CE.A0/basin-scores CE on the cosine-anchor basin head (the geobasin control) the head itself costs +0.13 bpb under CE (2.607 vs 2.477 linear, 3 seeds; acc .498 vs .505) - small, so every geometric-arm deficit is THE LOSS, isolated tools/geobasin_runs/; history/timeline.md 2026-07-25 geobasin block
L-156 8 31222+0 SQ.A0/teacher-embedding feature_mse distillation (MSE to LAION-B/16 embedding) zs-C10 .2693/.2657 (matrix best) and agree_cos .714/.718 - but C100 .062 LOSES to infonce (+3.2pt) and R@1 .025 is 2.2x below, 2/2 seeds tools/dist_runs/; canon/clip_mini_distillation.md
L-158 8 31221+0 CE.A0/similarity-grid SigLIP pairwise sigmoid distillation (decoupled contrastive) zs SPLIT (-4.6pt s0 / +2.3pt s1 vs infonce) but LOSES retrieval 2/2 (R@1 .043/.040 vs .058/.054): coupling wins retrieval at batch 256 tools/dist_runs/; canon/clip_mini_distillation.md
L-028 7 23111+0 CE.A4/logits masked-marginal variant scoring (protein VEP) WT unmasked marginal rho 0.10 -> masked marginal ESSENTIAL; final rho .993 / .309 unseen canon/ryan_spearman_protein.md:41-42; canon/ryan_spearman_protein.md:6-8
L-006 7 32111+0 CE.A4/logits+pixels HuggingFace out.loss (VLM labels= path, vision tower fires) required wherever the vision tower must fire - chunking bypasses it pod/v35_exp004_caption.py:175; pod/v35_exp004_caption.py:17-19
L-029 7 22211+0 CE.A0/logits GPT-2 frozen-trunk relay objective (dif-e013 Track C) frozen 38.648 -> aleph 26.53 vs param-matched zero-init MLP 27.26; beats matched 2/2 seeds history/timeline.md:349-363
L-164 7 22112+0 CE.A7/consensus-embedding x3 full stack on the vision student (NCE + elem-MSE .5 + BCE .3 + centered-cos align .5 + CV 1e-3 + EmbeddingAutograd) WEAK-ANCHOR SET-POINT 2/2: agreement lands at .4957/.4958 (cross-seed 4e-4) — .17 BELOW the anchored composite — while task gauges stay in-noise and probe drops 1.1pt. Its faster NCE descent (~8%) is UNANCHORED-optimizer speed: the inert elem-MSE leaves the contrastive term unopposed (diag: base agree .593 at step500 vs .432; x3diag_*.jsonl) tools/dist_runs/x3_queue.log; tools/dist_runs/vitbank_s0.jsonl
L-013 6 13212+0 CE.A2/coefficients addr_3tau multi-tau stroboscope 4.2884 no collapse (usage ppl 7.9, 117/128 alive) against addr_d4's 5.3698 history/timeline.md:1093-1095
L-027 6 13212+0 CE.A0/logits antipode-conv objective (the address AS the convolution operator) CIFAR-10 87.23% @ 861,450 params with NO ReLU/GELU anywhere; none -> mag +21.8 inventory/SCALE_MANIFEST.md:8-30; canon/discovery_catalog.md:49-61
L-037 6 13111+0 CE.A0/logits denoiser objective (tokendiff iterative image-token denoise) beats identity at every level; t=1.0 gives 0.378 vs 0.002 (189x) sessions/2026-07-13.md:35-43
L-018 6 22111+0 CE.A7/mixed blueprint composite (InfoNCE 1.0 + Procrustes_SVD 0.3 + CV-0.20 0.05)
L-014 6 12212+0 CE.A0/coefficients addr_mhat reconstructive read consumed in AR 5.1300 bpb but the HEALTHIEST cultivation on the bed (ppl 11.0, binding_frac .234) history/timeline.md:1095-1097
L-035 6 12211+0 SQ.A0/x0-linear rectified-flow velocity objective (KSimplex / Form 7 bottleneck) loss .1749 beat the 268M skip's .1757; the model routed 88% through the 768 dims canon/ksimplex_diffusion_prior.md:26-28; canon/constellation_forms.md:59-63
L-038 6 12211+0 SQ.A0/embeddings recon_target (absolute MSE to a fixed frozen-trunk projection) recall@1 0.264 - real (5x frozen) but HALF of InfoNCE's 0.494 at matched budget sessions/2026-07-13.md:122-126; tools/qwen_exp011_newanchors.py:445-453
L-020 5⚠ 12111+0 SQ.A0/sequence-embeddings SequenceReconstructor loss: MSE(normed) + (1 - cos) CLIP-L ep5 m_acc .957 / s_cos .734; Meridian bigG s_cos PLATEAUS at .425 canon/geometric_memory_blueprint.md:56-63; canon/constellation_forms.md:44-48
L-146 5 21222+0 BREG.A0/address-code FAC tanh-Hamming link (bounded tails) cosh beats tanh 3/3: 4.349 vs 4.1285 (+0.22) - the bounded link loses within the family tools/deviant_runs/; history/timeline.md 2026-07-25 deviant-matrix block
L-147 5 21222+0 BREG.A0/address-code FAC Cauchy link (sub-quadratic tails) cosh beats Cauchy 3/3: 4.360 vs 4.1285 (+0.23) - robust-statistics tails lose within the family tools/deviant_runs/; history/timeline.md 2026-07-25 deviant-matrix block
L-007 5 11221+0 CE.A0/logits dispatch-keys-only CE (aligner; adapters frozen as anchors) trainable set is ONLY the per-block key matrices; reference-grade, never seed-replicated closeout_2026-07-19/amoe/src/amoe/train/aligner.py:41-67
L-030 5 20211+0 CE.A0/logits val_ce on a frozen semantic substrate (CLIP-L token-AR) MLP WINS frozen-substrate token-AR (penult 5.245 best); aleph tax ~ +0.09 history/timeline.md:335-348
L-031 5 20122+0 SQ.A0/geometry pure geometric-basin loss set (coherence/separation/discretization/geometry) the program's ONE attempted CE replacement - NOW PROPERLY TESTED: refuted on the byte bed (acc 0.157 vs control 0.498, 3 seeds); the absolute-only variant doubles it (L-152) canon/cantor_empirics.md:20-22
L-070 5⟂ 20221+0 BREG.A0/address-code FAC as a PRIMARY sequential objective (cosh-Bregman, replace CE) REFUTED AS PREREGISTERED, 3/3 seeds: fac_lsh 4.13 bpb vs ce 2.48; ce_fixedcode 3.81 beats it; fac_none 3.95 beats it tools/fac_runs/; history/timeline.md 2026-07-25 pass-3 block
L-140 5 20221+0 CE.A0/logits sparsemax as a full-bed objective REFUTED as a general objective: bpb 7.43 / acc 0.331 vs ce 2.4769 / 0.505 (3 seeds) tools/deviant_runs/; history/timeline.md 2026-07-25 deviant-matrix block
L-141 5 20222+0 CE.A9/logits soft-max / worst-position accumulation (trained) REFUTED: bpb 4.24 / acc 0.276, 3 seeds - the 0.911-novelty champion chases irreducible entropy exactly as flagged tools/deviant_runs/; history/timeline.md 2026-07-25 deviant-matrix block
L-142 5 20222+0 CE.A2/logits geometric-mean accumulation (trained) REFUTED decisively: bpb 9.03 - the anti-focal starves hard positions and the distribution never forms (3 seeds) tools/deviant_runs/; history/timeline.md 2026-07-25 deviant-matrix block
L-143 5 20122+0 CE.A0/logits label smoothing eps=.1 (trained on the byte bed) bpb 2.587 vs ce 2.4769 (+0.11, 3 seeds) - payer-class novelty (0.479), mildly WORSE outcome tools/deviant_runs/; history/timeline.md 2026-07-25 deviant-matrix block
L-144 5 20122+0 CE.A2/logits focal gamma=2 (trained, live-model weights) bpb 2.597 (+0.12 vs ce, 3 seeds) - payer-class trained novelty (0.337), mildly worse outcome tools/deviant_runs/; history/timeline.md 2026-07-25 deviant-matrix block
L-145 5 20222+0 CE.A4/logits anti-curriculum (train only where the frozen reference is confident) REFUTED as an objective: bpb 6.74 (3 seeds) - abandoning 72% of the distribution buys nothing on the rest tools/deviant_runs/; history/timeline.md 2026-07-25 deviant-matrix block
L-148 5 20122+0 CE.A0/logits confidence penalty (trained as the GATE-VALIDATION CONTROL) CLOSEST TO CE OF ALL DEVIANTS: bpb 2.520 (+0.043, 3 seeds) - the gate's refusal correctly predicted 'CE plus nothing' tools/deviant_runs/; history/timeline.md 2026-07-25 deviant-matrix block
L-150 5 20122+0 SQ.A0/basin-scores PureGeometricLoss, learned anchors (the Oct '25 arm, properly tested) REFUTED on this substrate: acc 0.157 vs control 0.498 (-68% relative, 3 seeds) - far below the historical -12% trade tools/geobasin_runs/; history/timeline.md 2026-07-25 geobasin block
L-151 5 20222+0 SQ.A0/basin-scores PureGeometricLoss, FROZEN anchors (the L-108 cell) learned BEATS frozen by +8 acc points (0.157 vs 0.076, 3 seeds) - the L-108 falsifier FIRED for cosine anchors tools/geobasin_runs/; history/timeline.md 2026-07-25 geobasin block
L-153 5 20112+0 SQ.A0/basin-scores GeometricPrototypeLoss (verbatim, own projector) WORST of the family: bpb 8.12, acc 0.008 (3 seeds) - the extra indirection buys total failure tools/geobasin_runs/; history/timeline.md 2026-07-25 geobasin block
L-154 5 20122+0 SQ.A0/basin-scores HierarchicalGeometricLoss on the nibble hierarchy (16x16) CATASTROPHIC: acc 0.0003 - below chance (1/256) - hierarchy-in-class-space destroyed fine structure entirely (3 seeds) tools/geobasin_runs/; history/timeline.md 2026-07-25 geobasin block
L-155 5 20222+0 SQ.A0/basin-scores CE + PureGeometric hybrid (0.5/0.5) the geometric set POISONS CE rather than riding it: bpb 4.53 vs control 2.61 (+1.9, 3 seeds) - P4 bar (within 0.15) missed by 12x tools/geobasin_runs/; history/timeline.md 2026-07-25 geobasin block
L-160 5 20112+0 CE.A7/similarity-grid blueprint composite on image distillation (infonce + 0.3*procrustes + 1e-3 CV band) INERT vs plain infonce 2/2: zs .248/.253 vs .267/.231, R@1 .057/.051 vs .058/.054, erank 184.6 vs 184.5, cv16 .232/.239 vs .221/.245 - every delta within seed noise tools/dist_runs/; canon/clip_mini_distillation.md
L-036 4 11111+0 CE.A0/logits margin losses ArcFace / CosFace / SphereFace (RoseFace dual-norm) the ZANA innovation - and it hit a 60% single-stream ceiling canon/vit_lineage_beatrix_zana.md:17-28
L-008 4 10121+0 CE.A0/logits image-classification CE (CIFAR-10, aleph-dispatched MoE vs dense) MoE 58.52% TIES param-matched dense 58.52% exactly; 6x params bought nothing history/timeline.md:1127-1138; tools/addressed_distillation_v1.py:301
L-032 3 00220+0 -.NA/geometry GBC - 'cross-entropy can be replaced entirely' (roadmap claim) classification via triadic compatibility, self-similarity, Cantor coherence, hierarchical basin checks canon/geovocab_chunking.md:21-22
L-033 3 00212+0 SQ.A0/pixels masked-recon / generative arm (campaign law 2 in its ORIGINAL form) BUILT, NEVER RUN - predicted to be where the SIGNED read finally beats magnitude inventory/SCALE_MANIFEST.md:19-21; history/open_questions.md:144-145

AUXILIARY TERMS, REGULARIZERS, AND STRUCTURAL SUBSTITUTES

Includes the structural devices that REPLACED a loss term - sphere normalization, gradient equalization, bounded alpha. Their presence here is the point: this program's strongest results come from making geometry structural rather than penalized.

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-052 10 33221+1 -.NA/adapters zero-init output heads (WEIGHT and bias) - the inertness contract makes the toggle law bit-exact (max dlogit
L-065 10 33212+1 -.A3/sigma-axis band crossfade windows as STRUCTURAL positional gating own-band damage 50-200x cross-band, 3/3 both seeds - specialists manufactured with NO routing loss MANIFEST.md:90-96; plans/2026-07-17_multiband_stage_plan.md:18-35
L-044 10 23222+1 -.NA/cantor-measure Devil's Staircase alpha-normalization (bit_k = p[RIGHT] + alpha*p[MIDDLE], alpha=0.5) WITHOUT the alpha term the measure COLLAPSES to {0, .333, .667} - the FractalDavid bug MANIFEST.md:30-31; canon/vit_lineage_beatrix_zana.md:40-49
L-061 10 23222+1 -.NA/data question-space guard (training-question space >= 3x draws) caught TWO memorized experts that had PASSED the answer-diversity guard (spaces 480 and 248 vs 800 draws) MANIFEST.md:169-170; inventory/SCALE_MANIFEST.md:152-154
L-051 10 32222+1 -.NA/optimizer pure Adam, weight_decay = 0 (the anti-regularizer law) Adam+gates .731 vs AdamW(3e-4, wd .01) .667 - 'weight decay is uniform damping that destroys the geometric harmonic' MANIFEST.md:15; canon/discovery_catalog.md:18
L-068 9 33212+0 -.A6/any paired (row, noise, t) triples - the variance-killing accumulation the noise-pair floor is ~0.988 - without pairing the effects this program measures are invisible history/timeline.md:1220-1227; pod2/dexp001_sd15_relay.py:167-185
L-042 9 23212+1 -.NA/gradients gradient equalization across heterogeneous geometric towers without it spreads hit 20 ORDERS of magnitude (fibonacci dead at 2.25e-21 under helix) MANIFEST.md:43-45; canon/fibonacci_systems.md:14-20
L-016 9 32212+1 SQ.A5/x0-linear blob-LP-x0 structural supervision on FLOW (lambda ~ 1) -5.9% / -3.7% two seeds on flow vs +0.03% / -1.0% on eps: a ~125-200x effect ratio MANIFEST.md:65-69; history/timeline.md:1481-1491
L-041 9 32222+0 -.NA/activations sphere normalization (M = F.normalize(M); M
L-043 9 32221+1 -.NA/spectra bounded multiplicative alpha (S*(1 + alpha*tanh), alpha <= 0.2, init .024) unbounded alpha POISONS the spectrum; bounded modulation costs 2,272 of 16.9M params (0.013%) MANIFEST.md:40; canon/omega_tokens_fresnel_johanna.md:5-9
L-050 9 22222+1 -.NA/gradients gradient clipping discipline (0.5 on cross-attn ONLY; NEVER inside an LBFGS closure) unclipped LBFGS closure DIVERGED to G-MSE 7.4e26; safety is line_search_fn='strong_wolfe' MANIFEST.md:46-47; canon/tri_band_omega_arc.md:55-57
L-048 8⟂ 32212+0 SQ.A3/band-routed HP/LP band-role objectives [judged by the ROLE-ALIGNED gauge] multiband beats the matched monolith ~10% on HIGH-band foreground, BOTH seeds history/timeline.md:1465-1479
L-059 8 32122+0 -.NA/codebook straight-through estimator on the aleph HARD read forward fully DISCRETE oriented code, backward soft: hosted books hold cos .992-.997, 112-122/128 hard axes, zero collapse canon/aleph_core.md:20-23; MANIFEST.md:135-138
L-166 8 32122+0 SQ.NA/gradient-path EmbeddingAutograd gradient operator (radial damping + nearest-anchor separation), isolated THE SEED-LOTTERY COLLAPSER (candidate, 2 seeds): pins rotated zs at .2539/.2534 (cross-seed 5e-4) where the baseline swings .232-.264 — means unchanged, VARIANCE collapsed. Mildly retards its own descent (~.03 EMA, it deletes gradient components) tools/dist_runs/x3_queue.log; tools/dist_runs/vitbank_s0.jsonl
L-040 8 22221+0 DET.A2/S15-bank 1e-3 CV bank loss (arm-gated, S^15 bank ONLY, never the aleph codebook) holds CV .295-.305 at zero-to-positive task cost where bare CE drifts it to .31-.34 tools/exp017_aleph_constellation.py:154-186; history/timeline.md:692-696
L-066 8 22212+1 -.A5/x0-linear lambda dose coupling (3-point curve on the blob term) 0.5 -> -5.9% 1.0 -> -8.3% (in bound)
L-067 8 22212+1 -.A8/gauges fp64 gauge accumulation (autocast disabled in the reduction) fp32 determinants lose up to ~4% on near-degenerate pentachora - 'fp32 det only' now means fp32 MINIMUM MANIFEST.md:32-39; tools/geolip_vitals.py:60-103
L-023 7 23111+0 KL.A4/logits kd_facts (fact rows supervised ONLY by teacher logits, alpha=1.0 legal here) recall 0.953 vs direct 0.871; held-out RULE induction 0.264/0.279 >= the teacher itself history/timeline.md:758-767; history/timeline.md:783-806
L-024 7 23111+0 SQ.A0/shape-mean dual-teacher Procrustes consensus distillation teachers .699/.649 -> student .761 EXCEEDS BOTH, still accelerating at E30 canon/geometric_memory_blueprint.md:90-98; canon/gm3_parity/03_teachers_and_distillation.md:7-13
L-055 7 22211+0 -.NA/rotations Cayley orthogonality constraint + Newton-Schulz whitening Q = (I-A)(I+A)^-1 guarantees pure rotation: det = 1.000 throughout, wins 76/84 unseen assays canon/ryan_spearman_protein.md:19-23
L-026 6 13211+0 SQ.A2/recon soft-hand loss (proximity REWARD, not penalty) V256 D24: MSE 0.034 at 400ep - 37% better than the best unconstrained run (.054) canon/structural_attractors.md:38-56
L-054 6 13211+0 -.NA/arms quaternion composition as a structural regularizer (Hamilton product) GeoQuat 0.916 -> 0.993 over 100 epochs vs best baseline 0.903 canon/ryan_spearman_protein.md:12-18; canon/ryan_spearman_protein.md:26-29
L-056 6 13221+0 -.NA/architecture cascade as a regularizer (multi-step MLP instead of a direct dimensional jump) 9-step 256->64 gives 84.6% vs a direct jump's 29.6%; a 27-step r=.95 cascade EXCEEDS the root canon/geometric_memory_blueprint.md:38-40
L-057 6 13201+0 -.A3/routing Cantor router (soft weights derived FROM triangulation distances) cos .9818 at 8 layers vs relay-alone .6533; geometry IMPROVES with more tokens canon/constellation_forms.md:53-58
L-022 6 22111+0 KL.A0/logits logit-KD at alpha <= 0.25 with founder exemption mlp_kd lineage 2.4106 -> 2.3707 -> 2.3662 -> 2.3594 monotone ascent; replicates at s1 history/timeline.md:396-410; history/timeline.md:570-583
L-034 6 12221+0 SQ.A0/codebook entropy-balanced alignment cultivation (w = .05) produced the emergent basin M = +/- ref EXACTLY - the sign-code convergence endpoint canon/svae_h2_class.md:23
L-045 6 12212+0 DET.A0/simplices L_CM - Cayley-Menger validity hinge (lambda = .01) CM validity 100% across the lineage table canon/ksimplex_diffusion_prior.md:18-23
L-046 6 12211+0 DET.A0/simplices L_vol - volume-spread REWARD (-std(log vol^2 ), lambda = .005)
L-047 6⟂ 12211+0 SQ.A0/shape-mean Procrustes_SVD as a REGULARIZER (x 0.3 alongside a real force) tightens CV (.19 vs .25) when it rides alongside InfoNCE canon/geometric_memory_blueprint.md:22-24; canon/constellation_forms.md:26
L-049 6 12221+0 -.NA/anchors anchor dropout (30%) prevents collapse: 508/512 anchors active canon/constellation_forms.md:27
L-060 6 12221+0 -.NA/data data-level dampening (sqrt damping alpha=0.5, max_repeats=8, cap 1.25x) NEVER equalize-to-largest: alpha=0 repeats 5 images ~50x/epoch canon/subject_bucketing_anima.md:17-19
L-064 6 12221+0 SQ.A0/crystals rose loss (role-weighted pentachoron regularization, rose_w = 1e-4) 74.87% CIFAR-100 @ 393,216 params vs ~65% zero-shot and ~70-72% linear probe canon/fibonacci_systems.md:29-33; canon/geovocab_chunking.md:24
L-039 5 12111+0 CE.A7/similarity-grid contrastive dynamics as a CV-compression force 100 clusters / 200 steps at d=128 -> CV .2451 (in band); 10 clusters -> .94 canon/cv_band_origin.md:14-17
L-053 5 12111+0 -.NA/gradients geometric autograd / gradient gating (Form 12 tangential-radial split) gradients split tangential (pass) / radial (attenuate) / collapse-direction (attenuate) canon/constellation_forms.md:83-86; canon/gm3_parity/02_optimizer_and_cv.md:7-18
L-025 5 21212+0 SQ.A0/shape-mean projective-ICP / GPA consensus operator (germline overwrite) recovers planted truth cos
L-062 5 21222+1 -.A2/data usage / starvation reweighting (drives DATA sampling, NEVER a loss term) the program's ONLY answer to load balancing: x2 upweight the starved anchor's DATA, 3-strike abort closeout_2026-07-19/amoe/src/amoe/train/aligner.py:68-84; pod/v35_exp007_collective.py:248-262
L-063 5 21221+0 -.NA/conditioning CFG dropout 0.1 (conditioning zeroed, not empty-prompt) standard in every diffusion bed; never ablated in this program pod2/dexp006_sd15core_relay.py:132-146
L-021 5 11221+0 SQ.A2/eps Min-SNR gamma=5 weighting + velocity adjustment part of a working recipe (1 ep, 10k synthetic, ~7 min on an L4); never ablated canon/ksimplex_diffusion_prior.md:28
L-167 5 30222+0 SQ.A8/pentachoron-volumes CV force at the 1e-3 ceiling on the anchored composite (x3 cv form) INERT 2/2, third independent confirmation of the P4 shape: trajectory rides the baseline curve to ~.01 EMA the whole way; gauges in-noise (zs seed-spread if anything wider) tools/dist_runs/x3_queue.log; tools/dist_runs/vitbank_s0.jsonl
L-163 5 20112+0 SQ.A2/bank-geometry AlignmentBank 8-term geometry loss (CaptionBert Stage-B, vision port) PROBE-REFUTED with FULL CONTROLS 2/2: trained bank BELOW untrained (gap -.0038/-.0045) AND a fully-random bank (random frames+anchors) matches the real-frames control (.4159/.4114 vs .4149/.4107) - the entire +1.4-1.6pt enrichment over raw is generic random-feature capacity; the geometric content contributes ~zero and geometric training subtracts tools/dist_runs/vitbank_s0.jsonl; tools/dist_runs/vitbank_s1.jsonl
L-165 5 20222+0 CE.A0/frozen-head-logits BCE through a frozen teacher-space head (x3 supervised force, isolated) INERT as an add-on 2/2: every gauge within noise of the anchored composite (agree +.008 consistent-sign whisper); supervision distilled through a frozen head does not behave like supervision tools/dist_runs/x3_queue.log; tools/dist_runs/vitbank_s0.jsonl
L-058 3 01211+0 -.NA/codebook address-agreement bias (BUCKET - making a hard address differentiable) exact softmax within sorted equal-width blocks masked to the same bucket; argmax alone is gradient-dead canon/mother_threads.md:35-37; canon/constellation_forms.md:118-120
L-069 3 00221+0 -.A2/sequence-axis predictability-weighted accumulation (PWA) DESIGNED 2026-07-25: make the PREDICTABILITY PRINCIPLE a loss geometry instead of a discovered side effect history/timeline.md:1062-1066; inventory/SCALE_MANIFEST.md:144-154

GAUGES - measure only, never in the gradient path

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-071 10 33212+1 DET.A8/anchors CV as a READOUT (never a force) the historical CV 'loss' was GRADIENT-FREE all along - .item() stripped the graph canon/discovery_catalog.md:9-10; canon/aleph_core.md:40-41
L-073 10 33222+0 -.A0/bytes bpb (bits per byte) - the AR line's verdict currency certified band 2.469-2.499; addr_msl64 beats the unrestricted head 7/7 across seeds and budgets inventory/SCALE_MANIFEST.md:53-58; history/timeline.md:139-147
L-074 10 33222+0 -.A0/logits perplexity tax ladder (wikitext ppl delta, one shared gauge) one always-on stack +9.23/+9.87 monolith +3.66
L-075 10 33222+0 -.A0/text token-F1 (caption distribution-match delta) 0.408 -> 0.706/0.704 (+0.30, s0-s1
L-080 10 33222+1 -.NA/logits toggle law - all anchors off is BIT-EXACT to the base model max dlogit
L-083 10 33222+0 -.A0/codebook usage perplexity / axis aliveness (read-only) 125+/128 axes alive WITHOUT regularization - the standing refutation of load-balancing auxiliaries canon/discovery_catalog.md:41-42; tools/geolip_vitals.py:108
L-085 10 33222+1 -.A0/anchors blend-escape ratio (threshold 1.5) and damping ratio (target >= 3x) specialists damped 5-11x but caption ESCAPES undamped at 0.1004 - the corollary that became the regime law closeout_2026-07-19/amoe/src/amoe/laws.py:37-39; history/timeline.md:1961-1964
L-089 10 33222+0 DET.A8/anchors CV@1000-batches early screen + the 3-tier filter CV at 1000 batches PREDICTS the final band; turnaround ~2h -> ~7 min per config canon/tri_band_omega_arc.md:21-27; canon/discovery_catalog.md:11-13
L-092 10 33222+0 -.A0/patches resolution-invariance flatness (the debugging canary) 4.5% MSE variance from 81 to 4096 patches; ~1% across a 36-config sweep - ANY shift means an upstream break canon/discovery_catalog.md:20-22; canon/tri_band_omega_arc.md:67-70
L-095 10 23222+1 -.NA/hardware peak_mem + s/step (the WDDM sysmem-spill tell) the tell is ~100W/450W at '100% util' with no step prints - 42.8GB observed spilled to shared memory MANIFEST.md:50-59; pod/run_g6b_rider.py:34-48
L-077 9 33221+0 -.A0/codes register probe (sign-code inter-minus-intra Hamming separation) THE PREDICTOR of the two-regime law: registers ~0.2-0.3 blend, domains ~0.35-0.5 specialize canon/register_probe_gauge.md; inventory/SCALE_MANIFEST.md:38-42
L-081 9 33212+0 -.A3/bands band-lesion surgical test (own vs cross damage) surgical 3/3 both seeds at 50-200x; on a DiT edge bands hit cross-damage EXACTLY 0.0 MANIFEST.md:70-76; history/timeline.md:1851-1864
L-091 9 33212+0 -.A8/spectra spectral gauges: S0/S_D ratio, effective rank, the universal attractor critical ratio ~6.5 triggers DISCHARGE; universal attractor S0 ~5.1, erank 15.88 +/- 0.04 across 48+ measurements canon/structural_attractors.md:24-30; canon/discovery_catalog.md:5-7
L-094 9 33221+0 -.A0/structured-text structured-task validity judges (JSON validity, IoU, pair-order, termination) bbox 0 -> 0.6875 valid (0.894 IoU); the FORMAT TRAMPLING signature: 9/12 truncated_no_json inventory/SCALE_MANIFEST.md:253-255; sessions/2026-07-14_pod.md:378-394
L-076 9 23222+0 -.A0/text precision + invented-attribute rate (the hallucination decomposition) precision 0.356 -> 0.694/0.705 and invented-attribute rate 0.200 -> 0.136/0.101, BOTH seeds inventory/SCALE_MANIFEST.md:233-238; history/timeline.md:1679
L-078 9 23222+0 -.A8/codes sign_fidelity (Spearman of code-Hamming vs true angular distance) PROMOTED: separates heredity from lottery where bpb CANNOT - heirs lock at .9555-.9558, spread < .001 history/timeline.md:476-521; inventory/SCALE_MANIFEST.md:67-69
L-086 9 23222+0 -.A0/text composition score (the controller prereg gauge) the chaining wall: components >= 0.96 solo, composite 0.0 for EVERY config inventory/SCALE_MANIFEST.md:261-270; history/timeline.md:1657-1660
L-088 9 23222+0 -.A0/gradients grad_norm_spread (gradient democracy monitor) reference failure it exists to catch: 20 orders of magnitude across unequalized towers tools/geolip_vitals.py:160-173; canon/fibonacci_systems.md:14-20
L-097 9 23222+0 -.A0/text held-out byte accuracy (rule induction) and variant-format recall (the format lock) teachers memorize at 1.000 train but induce at 0.270/0.245 held-out; memorized content is BOUND to surface form history/timeline.md:783-806; history/timeline.md:794-800
L-098 9 23222+0 -.A0/codes key-durability gauge (nearest-neighbour symbol Hamming + key drift) sign-code keys disagree on ~91% of symbols; match rate at theta=0.25 is 0.000 EVERYWHERE history/timeline.md:868-894
L-099 9 23222+0 -.A0/codebook basin mean_cos (BASIN SET AT INIT) 192-bank sweep: epoch_1 .8632 / best .8635 / final .8615 - delta 0.0017 BELOW the within-phase std MANIFEST.md:124-127; canon/tri_band_omega_arc.md:71-75
L-100 9 22222+1 DET.A8/simplices cv_reference_check (fp64 parity against the source of truth) exact parity (relative 0.0) at fp64 against geovocab2, at ~260x the speed MANIFEST.md:32-39; tools/geolip_vitals.py:78-103
L-079 8 23212+0 SQ.A3/band-routed role-aligned in-bed gauge (HIGH-band foreground-masked LP-x0) PROMOTED: found a ~10% multiband win that EVERY aggregate comparison hid history/timeline.md:1465-1479
L-082 8 23212+0 -.A6/routing repeated-key null + matched-vs-mismatched deltas the instrument that falsified address-as-key: routing excess 2.5e-06 over the null inventory/SCALE_MANIFEST.md:203-208; history/timeline.md:1611-1629
L-096 8 22222+0 -.A0/anchors consensus drift / stationarity gauge ROBUST for structured genomes (0.003 drift by g2, both seeds) but SEED-DEPENDENT for a lone flat book inventory/SCALE_MANIFEST.md:79-86; canon/gm3_parity/01_inherited_object.md:77-85
L-090 7 22211+0 -.A8/codebook void topology beta_2/axis (persistent homology on RP^(D-1)) within the D=4 cohort every GEOMETRIC signal collapses while VOIDS rise; beta_2 vs recon MSE rho
L-084 6 13222+0 -.A0/codebook read perplexity + cos to nearest atom (the quantizer gauge)
L-087 6 13222+0 -.A0/any adapter_effect_mean - the VACUOUS guard returns VACUOUS instead of a false PASS when the stack barely moves the loss sessions/2026-07-21_comfyui_amoe_packaging.md:363-371
L-093 6 12222+0 -.NA/code exec judge (guarded subprocess: restricted builtins, length cap, hard timeout, no network) the write-0.0 floor was verified GENUINE off-pod, not a judge artifact history/timeline.md:1634-1635; plans/2026-07-16_math_night_plan.md:46-51
L-104 6 12222+0 -.A0/codes sign-code Hamming retrieval 0.359 @1 against the continuous head's 0.494 - ~73% of its power from raw 64-symbol Hamming sessions/2026-07-13.md:116-121

DISTRUSTED GAUGES - do not rate anything on these alone

Each was load-bearing until it was caught. Any entry whose headline rests on one takes the -2 blind-gauge demotion (rule 2) until it is re-measured on a promoted gauge.

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-072 8 32221+0 -.A0/anchors anchor drift -> 0.29154 rad + binding_fraction the binding constant recurs across 5 architectures and 3 paradigms - but the drift-based fraction is a STAGE statistic MANIFEST.md:115-116; history/timeline.md:231-241
L-101 5 31221+0 -.A0/gates gate-mean band 0.012-0.03 (advisory, NOT universal) held across 6 architectures and 2 optimizers - then MISSED on a 7th at 0.051-0.061 MANIFEST.md:121; history/open_questions.md:31-33
L-102 5 30220+0 SQ.A0/eps aggregate eps-MSE as a band-behaviour gauge DISTRUSTED: moved 0.2% against +0.089 grounding effects in image space, and HID a ~10% multiband win history/timeline.md:1402-1422; history/timeline.md:1465-1479
L-103 2✖ 20020+0 -.A0/addresses recon cosine as a judge for ADDRESSED systems DISTRUSTED: an address is a LOOKUP KEY, not a compressor - judge drift and crushed CV instead MANIFEST.md:115-116; history/open_questions.md:198-204

RETRACTED / DEMOTED / FORBIDDEN - the doctrine's proof set

Each row below is the EVIDENCE for a standing law. This is not a graveyard and not an appendix - these are the controls that turned results into laws. Cite them.

Grouped by the law each row proves, not by entry.

absolute-beats-relative

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-105 1† 30012+1 SQ.A10/codebook VQ / commitment / EMA codebook losses THE NAMED PROHIBITION - and unnecessary: the codebook stays 125+/128 alive at div_weight = 0 canon/aleph_core.md:16-18; MANIFEST.md:132-134
L-106 1† 30012+1 CE.A0/roster comparative / relative selectors (argmax anchors, softmax-over-roster, STE one-hots, k-means alphabets) roster-dependent; the gradient HOMOGENIZES - 14x path collapse, width attenuation, BN-on-padding, same disease MANIFEST.md:135-138; canon/aleph_core.md:53-58
L-107 1† 20011+1 CE.A0/alphabet gradient-learned alphabets (CAMPAIGN LAW 3) fitted-frozen alphabets differentiate (1,594 unique paths); gradient-learned alphabets COLLAPSE (116) MANIFEST.md:157-158; canon/acd_campaign.md:18-20
L-108 1† 10011+0 SQ.A0/crystals direct gradient descent on pentachora collapses them to zero - as FROZEN anchors the same crystals retain full cohesion and stay backtrackable canon/geovocab_chunking.md:16-18
L-118 1† 30012+1 SQ.A0/routing comparative routing on diffusion (state+sigma, raw address, M-hat address-as-key) FALSIFIED THREE WAYS, 2 seeds: routing excess 2.5e-06 over the repeated-key null; match advantage -0.0 MANIFEST.md:70-76; inventory/SCALE_MANIFEST.md:203-208

regime-law

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-119 1† 20212+0 CE.A0/logits the controller hypothesis (a trainable anchor that orchestrates the others) prereg required >= +0.15; measured -0.417 / -0.167. The passenger role is an ATTRACTOR inventory/SCALE_MANIFEST.md:261-270; sessions/2026-07-14_pod.md:610-646
L-120 1† 30112+1 CE.A0/logits always-on solo specialist stacks MUTUALLY DESTRUCTIVE at n=48: the depth stack drives caption F1 to 0.0014 with termination 0.0 MANIFEST.md:160-166; inventory/SCALE_MANIFEST.md:216-232
L-121 1† 20212+0 CE.A0/logits frozen solo-trained expert collectives under aleph dispatch no surgical independence (own-drop 0.04/0.00), NO damping (all five blend-regime, 0.86-1.6), composite 0.0 inventory/SCALE_MANIFEST.md:169-178

instrument-design

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-125 1† 10222+0 -.A6/routing shuffled-key null CONFESSED INSTRUMENT FAILURE: it measures diversity, not correctness - the null scored like the real thing history/timeline.md:1539-1548
L-127 1† 20221+0 -.NA/anchors the exp021 seed-inversion claim for the trainable anchor RETRACTED WITHIN HOURS: the claim compared DIFFERENT INSTRUMENTS across seeds history/timeline.md:1697; hfstage/exp021_s1battery/README.md
L-133 1† 10222+0 -.NA/sampling deterministic (greedy) decoding in an iterative denoiser collapses to the global mode: diversity 0.0, conditional == shuffled EXACTLY sessions/2026-07-13.md:35-43

coordinate-law

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-128 1† 10021+1 -.A3/cantor-measure hierarchical refinement in Cantor space HARMFUL (-10%); parallel ADJACENT NON-OVERLAPPING bands are +3% canon/cantor_empirics.md:5-18; MANIFEST.md:122-123
L-129 1† 10021+1 -.A3/cantor-measure repeated boundary crossing in a measure space KILLS gradients (catastrophic -> random). Enter and exit the measure space ONCE canon/cantor_empirics.md:5-7; MANIFEST.md:122-123
L-130 1† 20022+0 -.A3/cantor-measure the SOFT devil's staircase used as a BAND COORDINATE NEW 2026-07-25: measured NON-MONOTONE - min slope -0.13 to -0.49 at EVERY level count on EVERY grid tested .venv/Lib/site-packages/geofractal/model/positional/staircase.py:49-67; MANIFEST.md:90-96

aggregation-destroys

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-109 1† 30022+1 -.A0/patches global average pooling in geometric encoders 70% -> 29% collapse, REPLICATED independently in the protein line MANIFEST.md:24; canon/discovery_catalog.md:17
L-131 1† 10021+0 -.NA/data equalize-to-largest data balancing (alpha = 0) repeats the 5-image bucket ~50x per epoch - 'the textbook way to overfit the long tail you were trying to protect' canon/subject_bucketing_anima.md:17-21

consumption-law

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-112 1† 20022+0 CE.A0/coefficients addr_head - coefficients to logits at a single hard tau 5.6650 bpb COLLAPSED: usage ppl 1.88/64, TWO unique winners, win cos
L-137 1† 20022+0 CE.A0/coefficients single hard-tau coefficient heads at ANY dimension DEMOTED on the standing registry: collapse, and low-D was falsified as the fix inventory/SCALE_MANIFEST.md:137-139

inheritance

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-114 1† 20112+0 KL.A0/logits logit-KD at alpha = 1.0 from near-parity teachers INVERSE EVOLUTION, compounding downward: 2.4301 -> 2.5046 -> 2.5603 history/timeline.md:383-395; canon/gm3_parity/03_teachers_and_distillation.md:14-24
L-122 1† 20222+0 -.NA/weights organ-only inheritance (projection + book transplanted onto fresh trunks) BELOW random init, 2/2 lineages - sixteen random draws beat organ heredity inventory/SCALE_MANIFEST.md:132-134; history/timeline.md:396-437

regime-transfer

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-117 1† 20222+0 CE.A0/coefficients tied M-hat readout (U=M_hat, S=Omega-token, Vt=I) in an AR head +1.0 bpb BOTH seeds and it STARVES the codebook (drift 0.02, binding 0) history/timeline.md:715-736; canon/gm3_parity/01_inherited_object.md:77-85
L-136 1† 10211+0 SQ.A0/rotations SVD-rotation transform in the dual-pentachoron head DROPPED for convergence failure; reduced to scale + shift canon/cayley_menger_foundations.md:36-38

alignment-force

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-019 1† 12111+0 CE.A7/mixed Expert Soup composite (InfoNCE + MSE + BCE + Procrustes + CV + spread) RETRACTED 2026-07-31 with its source system: the Form-2 / Bertenstein numbers (mAP .84, 1000/1000 positive volumes, eff-dim 76.9) were never independently audited, and the system carrying them was falsified — R@1 was a shared-forward-pass leak, Procrustes cos_after sat at/below a no-relationship null, CV .20 at d=1024 was collapse canon/constellation_forms.md:35-46 (retirement annotation); repos/bertenstein.md

cv-pressure

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-110 1† 20011+0 DET.A0/anchors CV loss as backward injection / above the 1e-3 ceiling MUST be a forward loss; above ~.001 the CV term dominates CE and trades discrimination for regularity canon/constellation_forms.md:85-86; canon/geometric_memory_blueprint.md:87

force-vs-regularizer

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-111 1†⟂ 10112+0 SQ.A0/shape-mean Procrustes as a training FORCE as a training loss: R@1 = 0.000, P_cos stuck at .094 for THIRTY EPOCHS canon/geometric_memory_blueprint.md:22-24

infonce-placement

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-113 2✖⟂ 33011+0 CE.A7/similarity-grid InfoNCE into ADDRESS paths BANNED despite R@1 .999 - it is the LOUDEST gradient and the bank learns IT instead of the useful signal MANIFEST.md:135-137; tools/exp013_augmentation_bed.py:18

conditioning-law

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-115 1† 30012+1 SQ.A5/eps blob structural supervision on the EPS objective +0.03% / -1.0%, two seeds - the x0 recovery divides by a vanishing sqrt(alpha_bar) EXACTLY in the supervised band MANIFEST.md:65-69; history/timeline.md:1465-1500

screening

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-116 1† 20220+0 SQ.A0/recon MSE-first single-epoch keep-or-kill screening DEAD: the lowest-MSE config was a HIGH-band false candidate canon/tri_band_omega_arc.md:23-27

band-roles

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-123 4⟂ 31210+0 SQ.A3/band-routed HP/LP band-role objectives [judged by AGGREGATE eps-MSE] 4/4 directional both seeds at 0.05-0.2% margins - 'nearly collinear with the base objective' history/timeline.md:1394-1435

redundant-in-context

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-124 5 21222+0 SQ.A0/conditioning frozen-address conditioning injected beside full text real vs deranged -0.0009 beside full text; but ALONE the address steers at +0.0287 inventory/SCALE_MANIFEST.md:209-210; history/timeline.md:1305-1318

question-space

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-126 1† 10222+0 CE.A0/logits the sequences / baseconv expert gains SELF-RETRACTED: question space 480 and 248 against 800 training draws per tier = MEMORIZED history/timeline.md:1640

law2-placement

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-132 1† 10122+0 CE.A0/conv-filters addr_conv - the decorative address (convex re-weighting of a filter bank) DECORATIVE: a convex sum a_k = 1 is a hull-bounded perturbation of a MEAN; the 1x1 address is CONSTANT on grayscale (variance 4e-16) history/timeline.md:1890-1896; sessions/2026-07-24_antipode_conv_decouple.md:24-30

no-balancing

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-134 1† 30022+1 CE.A10/routing load-balancing / auxiliary router losses BANNED and replaced by architectural equality; ZERO instances exist in the tree history/progression_plan_2026-07-08.md:126-137; closeout_2026-07-19/amoe/src/amoe/core/dispatch.py:1-12

operator-ruling

ID RATE RPDCI+L CELL / SUBSTRATE NAME HEADLINE NUMBER CITE
L-135 1† 00201+0 CE.A0/logits the big-JSON objective FORMALLY DROPPED by operator ruling - too costly; 3-5 task adapters deliver more per GPU hour history/timeline.md:1977-1981; sessions/2026-07-14_pod.md:813-817

MECHANISM NOTES

Keyed by ID so grep L-115 finds both the row and its reasoning. Full notes live in inventory/loss_manifest.json; python skill/loss_view.py show L-115 prints one.

OPEN CONTRADICTIONS (never averaged, per rule 7)

  1. CE vs the CV band. One record has Form-1 CORE holding CV .2045 under cross-entropy; the repo results table shows CV drifting .238 -> .124 by ep50 against CE at weight .01. Bears on L-003's doctrinal standing. Settled by: a same-config re-run, or a provenance split showing the two runs are not the same configuration.
  2. The Meridian s_cos plateau at .425. Two recorded explanations - a 1280->1024 dimensional mismatch, or pooled-bank gradient loudness. Bears on L-020. Settled by: re-running the bank at matched dimension.
  3. soft-vs-mag is depth-scoped. Magnitude leads +10.3 at 3 layers; soft ran AHEAD at 6 layers with cosine schedule. SCALE_MANIFEST already forbids stating the modulus finding as a law. Settled by: both arms run to completion at depth.

CROSS-REFERENCES

  • canon/loss_accumulation_forms.md - the taxonomy, the eleven format laws, the binning procedure, the A10 statute.
  • inventory/SCALE_MANIFEST.md - answers "what scales". This file answers "what is allowed to pull, and on what evidence". A mechanism in both carries the other's ID.
  • canon/discovery_catalog.md entry 26 - the three-primitive finding as a program-wide law.
  • inventory/EXPERIMENT_LINES.md - resolves the line-qualified IDs used in citations.

AMENDMENTS (append-only, dated)

  • 2026-07-25 - created. Rubric v1, 137 entries, from three independent censuses. Two findings NEW to the program are folded in as rows: the soft devil's staircase is non-monotone and therefore inadmissible as a band coordinate (L-130), and alpha=0.5 is the unique expectation-matching value for the staircase (L-044).
  • 2026-07-25 - A0 AUDIT (Phil: "is A0 correct?"). Partially no, three ways: (1) two PRIMARY misbins fixed - L-006 (HF labels= path is masked CE inside) and L-015 (derived-steps trains shift-CE with ignore_index=-100) both move A0 -> A4 per binning rule 4; (2) the fallback bucket had swallowed 25 rows with NO residual-reduction semantics (structural devices, optimizer/data disciplines, assertion protocols, decoding policies, claims) - a category error, now an explicit NA class; (3) what remains at A0 (71 of 138) is honestly dominant: plain means ARE the program default, and the aleph's only pressure lives there. GAP stays at A0 deliberately - it IS a uniform-mean accumulation, the format's cautionary instance.
  • 2026-07-25 - pass 3 measured (same day). L-070 (FAC) moved from UNRUN to a scope-split pair: as a PRIMARY objective it is REFUTED as preregistered, 3/3 seeds (loses to ce, to ce_fixedcode, and to fac_none on the bpb-of-record); on the partition-collapse configuration (new L-138) a loss swap alone decompresses the certified addr_head catastrophe (usage ppl 1.0-2.7 -> 60.6-61.1 of 64, decoded acc 0.05-0.20 -> 0.45-0.47, 3/3 SEEDS, spread < 0.5) and dissolves the win|cos| saturation (0.9995+ -> 0.13) - amending L-112's recorded geometry attribution. The collapse follows the loss.
  • 2026-08-02 - L-019 RETRACTED (rule 6). The Expert Soup composite's sole source (Form 2 / GEOLIP-Bertenstein) was retired 2026-07-31: its R@1 was a shared- forward-pass leak (flat 1.0000 from gallery N=64 to 4096; 0.0007 masked), its Procrustes cos_after (.377-.440) sat at or below a no-relationship null at the same fit size, and its CV .20 at d=1024 was collapse (null .0207, effective rank 19.7). The composite's own numbers (mAP .84, eff-dim 76.9) were never independently audited and no ablation isolates any of its six terms. Rating 5 -> 1 dagger, role PRIMARY -> RETRACTED. WHAT SURVIVES is the form, not the composite: whitened-Procrustes pre-alignment WITH held-out fit discipline (N/d 31.3 retains 95% out-of-sample; N/d 4.9 retains 3.8%) and per-expert projectors into a REFERENCE MEMBER's frame. Its validated descendant is L-162, measured 2/2 on two modalities. repos/bertenstein.md · canon/shared_pass_contrastive_leak.md · repos/captionbert-v2.md