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Stabilizing Beyond 105 Qubits Instrument v0.2 — Implementation Architecture

Three-Run Stabilization Architecture: Public Backtrace, HIR/OAM Settlement, and Diamond-Gate Hexshell Stabilization

Created and Developed by Collin D. Weber · Creator and Developer of Primordial Calculus / HIR-OAM · Systems Architect / Systems Integrity Steward

Public-review structural instrument only. Not quantum hardware control. Not direct qubit measurement. Not QEC replacement. Not a Google / Willow product claim. Public constraints only. Run C is a theoretical HIR architecture model, not a hardware validation.


0. Reading guide

This document is the build contract. It is deterministic and self-contained: given the same control inputs, the same numbers come out, every time, with no randomness. The instrument is a structural pressure model. It does not measure physical qubits. It scores how three different stabilization grammars respond to the same modeled pressure field. Output is always labeled "theoretical qubit-equivalent stabilization ceiling" / "model-internal stabilization ceiling."

The eleven sections below map 1:1 to the requested deliverables.


1. Naming and version structure

Field Value
artifact_name Stabilizing Beyond 105 Qubits Instrument
version 0.2.0
codename Three-Run Stabilization Architecture
subtitle Public Backtrace, HIR/OAM Settlement, and Diamond-Gate Hexshell Stabilization
schema_version hir-oam-review-packet/2
run_ids A = Public Constraint Backtrace · B = HIR/OAM Encapsulated Settlement · C = Full HIR Architecture / Diamond-Gate Hexshell

Versioning rule: MAJOR.MINOR.PATCH. MINOR increments when a run's state machine or scoring band changes; PATCH for copy/UI; MAJOR for a change to the core S_field / S_full formulas or packet schema. The schema_version is independent of artifact version so downstream readers can validate packets across artifact revisions.


2. Full data model

All control values are normalized 0.0–1.0 unless noted. "Good" sliders raise stability; "pressure" sliders raise system pressure. Internal scores are kept as floats in [-1, 1] or [0, 1] and mapped to a 0–100 display band only at render time.

ModelState
├── meta
│   ├── artifact_name, version, schema_version
│   ├── boundary_statement
│   └── timestamp (ISO 8601, generated at packet export)
│
├── controls.shared              // applies to A, B, C
│   ├── localTraceStability      [0..1]  good → T
│   ├── latticePressure          [0..1]  → Q (inverse), P_lattice
│   ├── correlationLevel         [0..1]  → P_correlation, independence (inverse)
│   ├── decoderStrain            [0..1]  → R (inverse), P_decoder
│   ├── controlDrift             [0..1]  → P_control, temporal validity (inverse)
│   ├── runtimePressure          [0..1]  → P_runtime
│   ├── resourcePressure         [0..1]  → P_resource
│   ├── provenanceContinuity     [0..1]  good → G, P_provenance (inverse)
│   ├── securityRisk             [0..1]  → P_security
│   ├── publicClaimPressure      [0..1]  → P_public
│   ├── pUnknown                 [0..1]  → P_unknown (residual uncertainty)
│   ├── evidenceQuality          [0..1]  good → ECS
│   └── operationType            enum    // severity multiplier
│
├── controls.runC               // additional, Run C only
│   ├── shellCount               int 2..7
│   ├── gateDensity              [0..1]
│   ├── gateHandoffEfficiency    [0..1]  → DG
│   ├── alignmentStrength        [0..1]  instantaneous alignment under pressure
│   ├── routingEfficiency        [0..1]  omnidirectional relief
│   ├── ramLearningRate          [0..1]  → RAM
│   ├── immuneRetention          [0..1]
│   ├── redTeamSensitivity       [0..1]
│   ├── redTeamFalsePositive     [0..1]  pressure
│   ├── redTeamFalseNegative     [0..1]  pressure
│   ├── encapsulationThreshold   [0..1]  cryptobiotic trigger point
│   ├── malformedPressure        [0..1]
│   ├── counterfeitResonance     [0..1]
│   ├── myceliumPropagation      [0..1]  → DM
│   ├── hirInternalization       [0..1]
│   ├── gritDensity              [0..1]
│   ├── uwcThermalBurden         [0..1]  cost (inverse to UWC)
│   └── resourceTruthVisibility  [0..1]  good (raises UWC)
│
└── derived (recomputed every tick — never stored as source of truth)
    ├── factors: T, Q, R, G, DG, RAM, IM, DM, UWC
    ├── pressures: P_lattice … P_unknown, P_malformed, P_constraint, P_system, P_total
    ├── runA, runB, runC readout objects
    ├── ecs, hardInvariantFlags[]
    └── qCeiling, qCeilingFull

Operation-type enum and its severity multiplier σ (used to harden invariants for higher-stakes operations):

operationType σ
diagnostic (Diagnostic review) 0.5
calibration (Calibration review) 0.7
current_branch (Current branch operation) 1.0
final_logical (Final logical operation) 1.3
public_claim (Public claim / benchmark interpretation) 1.6
safety_critical (Safety-critical downstream use) 2.0

3. Control list

Shared (all runs): local trace stability · lattice pressure · correlation level · decoder strain · control drift · runtime scheduler pressure · resource pressure · provenance continuity · security risk · public claim pressure · P_unknown / residual uncertainty · evidence quality · operation type.

Run C additional: shell count · diamond gate density · gate handoff efficiency · instantaneous alignment strength · omnidirectional routing efficiency · RAM learning rate · immune memory retention · authorized red-team capture sensitivity · red-team false-positive pressure · red-team false-negative pressure · cryptobiotic encapsulation threshold · malformed data pressure · counterfeit resonance pressure · Digital Mycelium repair propagation · HIR internalization · grit density · UWC thermal/resource burden · resource-truth visibility.

UI control types: all [0..1] fields are range sliders (step 0.01) with a live numeric badge; shellCount is a stepped slider (int); operationType is a <select>. Every slider has a one-line tooltip stating direction ("higher = more pressure" vs "higher = better").


4. Formula design

Helper: clamp(x,a,b), lerp, norm01(x), pct(x) = round(clamp(x,0,1)*100). All weights below are fixed constants in the build.

Composite factors (each clamped to [0,1]):

T  = localTraceStability
Q  = clamp(1 - 0.65*latticePressure - 0.35*correlationLevel)
R  = clamp(1 - 0.6*decoderStrain - 0.4*runtimePressure)
G  = clamp(0.5*provenanceContinuity + 0.3*evidenceQuality + 0.2*(1-securityRisk))

// Run C stack factors
DG  = clamp(0.5*gateHandoffEfficiency + 0.3*alignmentStrength + 0.2*routingEfficiency)
RAM = clamp(0.6*ramLearningRate + 0.4*immuneRetention)
IM  = clamp(0.55*redTeamSensitivity + 0.25*immuneRetention
            - 0.4*redTeamFalseNegative - 0.2*redTeamFalsePositive + 0.4)   // floored
DM  = clamp(0.7*myceliumPropagation + 0.3*hirInternalization)
UWC = clamp(0.6*resourceTruthVisibility + 0.4*(1 - uwcThermalBurden))

Pressure terms (each [0,1]):

P_lattice     = latticePressure
P_correlation = correlationLevel
P_decoder     = decoderStrain
P_control     = controlDrift
P_runtime     = runtimePressure
P_resource    = resourcePressure
P_provenance  = 1 - provenanceContinuity
P_security    = securityRisk
P_public      = publicClaimPressure * (0.5 + 0.5*σ_norm)   // σ_norm = σ/2
P_unknown     = pUnknown
P_malformed   = clamp(0.6*malformedPressure + 0.4*counterfeitResonance)   // Run C
P_constraint  = clamp(0.5*(1-routingEfficiency) + 0.5*(1-gateDensity))    // Run C

System / total pressure (weighted means → keep in [0,1]):

P_system = Σ(w_i * P_i) over the 10 shared terms,  Σw_i = 1
   weights: lattice .14, correlation .12, decoder .14, control .08,
            runtime .08, resource .08, provenance .12, security .10,
            public .08, unknown .06

P_total  = 0.78 * P_system + 0.12 * P_malformed + 0.10 * P_constraint   // Run C

Base field pressure (spec form):

S_field = T * Q * R * G - P_system          // float in ~[-1, 1]
display_A = pct((S_field + 1) / 2)           // 0..100

Evidence Conversion Score:

Provenance         = provenanceContinuity
Independence       = 1 - correlationLevel
ScopeMatch         = clamp(1 - publicClaimPressure * σ_norm)
PressureMatch      = clamp(1 - |declaredScopePressure - P_system|)
                     // declaredScopePressure approximated from operationType band
TemporalValidity   = 1 - controlDrift
RepeatStability    = clamp(localTraceStability * (1 - decoderStrain))
CorrelationPenalty       = correlationLevel
SelfCertPenalty          = clamp((1-Independence) * (1-Provenance))
BoundaryViolationPenalty = clamp(publicClaimPressure * σ_norm)

ECS_raw = Provenance + Independence + ScopeMatch + PressureMatch
        + TemporalValidity + RepeatStability
        - CorrelationPenalty - SelfCertPenalty - BoundaryViolationPenalty   // [-3, 6]
ECS = pct((ECS_raw + 3) / 9)

Run C full-stack form (spec form):

coreC   = T*Q*R*G*DG*RAM*IM*DM*UWC          // product of 9 factors, small but monotonic
S_full  = coreC - P_total                    // literal spec value, stored raw in packet

// display normalization (documented, monotonic, never inflates the literal):
S_full_norm = clamp( pow(coreC, 0.25) - 0.35*P_total )   // [0,1] display proxy
display_C   = pct(S_full_norm)

Theoretical stabilization ceiling:

Q_base          = 105
ShellMultiplier = 1 + 0.12*(shellCount - 2)            // more shells → more headroom
GateDensityF    = 0.5 + 0.5*gateDensity
AlignmentFactor = 0.5 + 0.5*alignmentStrength
RecoveryFactor  = clamp(0.4*RAM + 0.3*DM + 0.3*IM + 0.3)

Q_ceiling_A = round( Q_base * (1 + max(0, S_field) ) )                       // backtrace ceiling
Q_ceiling_full = round( Q_base * (1 + S_full_norm * ShellMultiplier
                  * GateDensityF * AlignmentFactor * RecoveryFactor) )       // Run C ceiling

Pressure failure condition (Run C):

GateCapacity            = DG * GateDensityF * AlignmentFactor
RAMRecovery             = 0.5 * RAM
ImmuneCapture           = 0.5 * IM
RepairPropagation       = 0.5 * DM
ResourceTruthCorrection = 0.4 * UWC

defense = GateCapacity + RAMRecovery + ImmuneCapture
        + RepairPropagation + ResourceTruthCorrection

FAIL_CLOSED  ⇔  P_total > defense
saturationMargin = defense - P_total       // < 0 means saturated

All constants are fixed in source; nothing is sampled.


5. Deterministic scoring logic

Single pure function compute(state) -> derived. Pipeline, evaluated top to bottom on every control change:

  1. Read controls → clamp all to declared ranges.
  2. Resolve σ from operationType; σ_norm = σ/2.
  3. Compute factors T,Q,R,G and (for C) DG,RAM,IM,DM,UWC.
  4. Compute all P_*, then P_system, then P_total.
  5. S_field → Run A score + Run A state.
  6. ECS + hard invariant flags → Run B score + settlement authority + Run B state.
  7. coreC, S_full, S_full_norm → Run C score; defense vs P_total → failure condition; cryptobiotic state; immune state; RAM state; UWC burden.
  8. Q_ceiling_A, Q_ceiling_full.
  9. Recommended actions per run from state + flags.
  10. Assemble readout objects (no DOM writes inside compute; render is separate).

Purity guarantees: no Date.now() inside compute (timestamp is taken only at packet export), no Math.random(), no reads of prior derived state. This makes the artifact fully reviewable — a reviewer can recompute any field by hand.


6. Run A / B / C state machines

State is chosen by ordered guard clauses (first match wins), so output is unambiguous.

Run A — Public Constraint Backtrace (drivers: S_field, decoderStrain, correlationLevel, publicClaimPressure, pUnknown)

if S_field >= 0.55                                  → CORRECTED FOR LIMITED SCOPE
elif decoderStrain >= 0.6                           → DECODER STRAIN
elif correlationLevel >= 0.6                        → CORRELATED PRESSURE RISK
elif publicClaimPressure >= 0.6                     → BENCHMARK SCOPE ONLY
elif pUnknown >= 0.55                               → UNRESOLVED PRESSURE COMPRESSED
else                                                → RECHECK RECOMMENDED

Run A always attempts to keep output usable; it has no settlement authority and no scope-bound closure. Residual pressure not corrected is reported as a warning, and may be "compressed into confidence" (flagged, never hidden).

Run B — HIR/OAM Encapsulated Settlement (drivers: ECS, hard invariant flags, P_unknown, publicClaimPressure, securityRisk)

Hard invariant flags (each boolean, any TRUE caps settlement):

PROVENANCE_BROKEN     = provenanceContinuity < 0.4
SELF_CERTIFIED        = SelfCertPenalty > 0.4
PUBLIC_OVERREACH      = publicClaimPressure*σ_norm > 0.6
UNRESOLVED_PRESSURE   = pUnknown > 0.55
SECURITY_RISK         = securityRisk > 0.6
SCOPE_MISMATCH        = PressureMatch < 0.45

State:

if PUBLIC_OVERREACH                                 → PUBLIC CLAIM BOUNDARY REQUIRED
elif SECURITY_RISK or PROVENANCE_BROKEN             → FAIL CLOSED FOR AFFECTED PATH
elif ECS >= 72 and no flags                         → FIELD HELD FOR CURRENT SCOPE
elif ECS >= 55                                      → LOCAL STRAIN ONLY
elif UNRESOLVED_PRESSURE                            → MUST RECHECK FIELD
elif ECS >= 40                                      → PARTIAL SETTLEMENT ONLY
else                                                → ERROR ADDRESSED, NOT CLOSED

Settlement authority label: SETTLED (scope-bound) / CONDITIONAL / WITHHELD, derived from the state tier.

Run C — Full HIR / Diamond-Gate Hexshell (drivers: defense vs P_total, P_malformed vs IM, encapsulation, routing)

saturationMargin = defense - P_total
encapStrain = P_total - encapsulationThreshold

immuneTriggered = P_malformed > IM*0.8 OR counterfeitResonance > 0.55
encapTriggered  = encapStrain > 0  AND  IM < 0.7   // too strained to handle lawfully

primary state (first match):
if saturationMargin < 0                             → GATE NETWORK SATURATED
elif encapStrain > 0.15                             → FAIL CLOSED AT SHELL BOUNDARY
elif encapTriggered                                 → CRYPTOBIOTIC ENCAPSULATION ACTIVE
elif immuneTriggered                                → IMMUNE CAPTURE EVENT  (+ MALFORMED TRACE QUARANTINED)
elif routingEfficiency >= 0.6 and gateDensity>=0.5  → OMNIDIRECTIONAL RELIEF ACTIVE
elif ramLearningRate >= 0.5                         → PRESSURE LEARNED INTO RAM
elif saturationMargin >= 0.25                       → GATE-ALIGNED FIELD HELD
else                                                → SHELL RE-ROUTE SUCCESSFUL

side flags (can stack): MALFORMED TRACE QUARANTINED, RESOURCE BURDEN VISIBLE (uwcThermalBurden>0.5)

Cryptobiotic encapsulation sub-state machine (independent track, drives the encapsulation readout):

OPEN        : P_total <= encapsulationThreshold*0.6
HELD        : P_total <= encapsulationThreshold*0.85
STRAINED    : P_total <  encapsulationThreshold
ENCAPSULATED: P_total >= encapsulationThreshold and IM < 0.7
DORMANT     : ENCAPSULATED and myceliumPropagation < 0.3
REPAIRING   : ENCAPSULATED and myceliumPropagation >= 0.5
REOPENED    : was ENCAPSULATED and now P_total < encapsulationThreshold*0.8 (hysteresis)
MUST STOP   : saturationMargin < -0.2 (defense overwhelmed)

(REOPENED uses hysteresis on the previous tick; this is the one place a single prior boolean is retained, and it is explicitly part of the documented machine, not hidden state.)


7. UI layout

┌────────────────────────────────────────────────────────────────────┐
│ HEADER  title + subtitle                                             │
│ BOUNDARY BOX (always visible, high-contrast, top of fold)            │
├──────────────┬─────────────────────────────┬───────────────────────┤
│ LEFT         │ CENTER                       │ RIGHT                  │
│ Pressure     │ 105-qubit-scale pressure     │ Three run readouts     │
│ Field        │ field visual.                │ (A / B / C) stacked on │
│ Controls     │ Run toggle: A flat lattice / │ narrow screens, side-  │
│ (shared +    │ B trace-tagged + Evidence    │ by-side ≥ 1100px.      │
│  Run C group │ overlay / C concentric       │ Each: score dial +     │
│  collapsible)│ hexshells + diamond gates +  │ status chips + ceiling │
│              │ routing pathways.            │ + recommended action.  │
├──────────────┴─────────────────────────────┴───────────────────────┤
│ EXPORT BAR: [Copy JSON Review Packet] [Download JSON Review Packet]  │
├──────────────────────────────────────────────────────────────────────┤
│ SECTIONS 1–13 (long-form, below the dashboard)                        │
└──────────────────────────────────────────────────────────────────────┘

Responsive: CSS grid grid-template-columns: 320px 1fr 420px on wide; collapses to a single column stack <900px. Right-panel readouts use display:flex; flex-wrap:wrap. No external CSS/JS. Sliders update the model on input; render is throttled with requestAnimationFrame.

Readout field lists (exactly as specified):

  • Run A: baseline stability score · correction status · decoder strain status · correlation risk · public claim boundary · residual pressure warning · model-internal ceiling.
  • Run B: field stability score · P_system profile · P_unknown honesty reservoir · ECS · hard invariant flags · settlement authority · recommended action · model-internal ceiling.
  • Run C: full-stack stabilization score · diamond gate capacity · shell handoff status · omnidirectional relief status · RAM learning state · immune capture state · cryptobiotic encapsulation state · resource-truth burden · theoretical qubit-equivalent stabilization ceiling · recommended action.

8. Visual model description

A single inline <svg> re-rendered per tick; the run toggle swaps which layer group is drawn.

  • Run A — flat lattice. A square grid of qubit-equivalent nodes. Node color = local pressure heat (green→amber→red) computed from a smooth function of P_system plus a fixed deterministic spatial pattern (sine of node index, no randomness) so the field reads as "pressure spreading." No gates, no shells. High pressure → red bleed across the lattice; correction status overlaid as a banner.

  • Run B — trace-tagged lattice. Same grid, but nodes carry small "trace capsule" tags; an Evidence Gate overlay (a vertical settlement bar) sits on the field. Nodes that violate an invariant get an outline ring; scope-bound region is drawn as a dashed boundary box labeled with the operation type. Color still encodes pressure but with settlement annotations.

  • Run C — concentric hexshells. shellCount nested hexagons drawn from outer→inner. Between each adjacent shell, diamond gates (rotated squares) sit on the shell vertices; gateDensity controls how many vertices carry a gate. Active routing pathways are drawn as lines fanning omnidirectionally from saturated regions toward open gates (more lines when routingEfficiency is high). Gate fill encodes per-gate decision: pass (green), tag (cyan), quarantine (red), encapsulate (violet), fail-closed (grey). The innermost shell shows the protected trace field. A small RAM ring and an immune-capture marker animate (CSS only) when those states are active.

All geometry is computed deterministically from controls; the only motion is CSS pulse/opacity transitions, never data-affecting.


9. JSON packet schema

schema_version: "hir-oam-review-packet/2". Exact top-level keys (as requested), filled from derived:

{
  "artifact_name": "Stabilizing Beyond 105 Qubits Instrument",
  "version": "0.2.0",
  "schema_version": "hir-oam-review-packet/2",
  "boundary_statement": "Public-review structural instrument only…",
  "timestamp": "2026-…Z",
  "input_controls": { "shared": {…}, "runC": {…}, "operationType": "…" },
  "shared_pressure_field": {
    "factors": { "T":…, "Q":…, "R":…, "G":… },
    "S_field": …, "display_A_score": …
  },
  "run_a_public_constraint_backtrace": {
    "stability_score": …, "correction_status": "…", "decoder_strain_status": "…",
    "correlation_risk": "…", "public_claim_boundary": "…",
    "residual_pressure_warning": "…", "model_internal_ceiling": …
  },
  "run_b_hir_oam_encapsulated": {
    "field_stability_score": …, "settlement_authority": "…",
    "recommended_action": "…", "state": "…", "model_internal_ceiling": …
  },
  "run_c_full_hir_architecture": {
    "full_stack_score": …, "S_full_raw": …, "S_full_norm": …,
    "shell_handoff_status": "…", "omnidirectional_relief_status": "…",
    "ram_learning_state": "…", "immune_capture_state": "…",
    "state": "…", "recommended_action": "…",
    "theoretical_qubit_equivalent_ceiling": …
  },
  "p_system_profile": { "P_lattice":…, …, "P_unknown":…, "P_system":…, "P_total":… },
  "p_unknown": …,
  "evidence_conversion_score": { "ECS": …, "components": {…} },
  "hard_invariant_flags": ["PUBLIC_OVERREACH", …],
  "diamond_gate_profile": { "DG":…, "GateCapacity":…, "gateDensity":…, "saturationMargin":… },
  "shell_profile": { "shellCount":…, "ShellMultiplier":…, "RecoveryFactor":… },
  "ram_learning_profile": { "RAM":…, "state":"…" },
  "immune_capture_profile": { "IM":…, "state":"…", "quarantined": true|false },
  "cryptobiotic_encapsulation_state": "OPEN|HELD|…|MUST STOP",
  "uwc_resource_truth_profile": { "UWC":…, "thermal_burden":…, "visibility":…, "penalty_applied": bool },
  "theoretical_qubit_equivalent_ceiling": …,
  "settlement_authority": "SETTLED (scope-bound)|CONDITIONAL|WITHHELD",
  "recommended_action": "…",          // overall, from highest-stakes run
  "public_claim_boundary": "…",
  "claims_not_made": [ "No physical qubits stabilized", "No QEC replacement", … ]
}

timestamp is the only non-deterministic field and is generated solely at export. Copy uses navigator.clipboard.writeText; Download builds a Blob and an object-URL anchor.


10. Boundary language

Verbatim strings baked into the build (header boundary box + Sections 1, 12, 13):

  • Boundary box: "Public-review structural instrument only. Not quantum hardware control. Not direct qubit measurement. Not QEC replacement. Not a Google / Willow product claim. Public constraints only. Run C is a theoretical HIR architecture model, not a hardware validation."
  • claims_not_made array: no physical qubits are stabilized; no quantum error correction is performed or replaced; no hardware is controlled or measured; no Google / Willow endorsement, access, or product relationship; "ceiling" values are model-internal / theoretical qubit-equivalent only; all results are bounded to the declared operation scope.

Output naming is fixed: the scaling result is always rendered as "theoretical qubit-equivalent stabilization ceiling" or "model-internal stabilization ceiling," never "qubits stabilized."


11. Suggested next-step implementation plan (single-file static HTML)

  1. Skeleton — one index.html; <style> with CSS variables for theme (dark instrument palette, per-run accent), <body> with header, boundary box, dashboard grid, export bar, sections, single <script>.
  2. State + controls — declare controls object with defaults; generate sliders from a config array (label, key, min/max/step, direction tooltip) so adding a control is one line. Bind input listeners → mutate controls → schedule render.
  3. compute(controls) — pure function implementing §4/§5/§6. Unit-checkable by hand. Returns derived.
  4. render(derived) — write the three readout panels and the SVG. Keep DOM writes out of compute.
  5. SVG layers — three draw functions (drawLatticeA, drawLatticeB, drawHexshellC) sharing a node-grid helper; run toggle picks one. All geometry deterministic.
  6. ExportbuildPacket(controls, derived) → JSON; wire Copy and Download buttons; stamp timestamp here only.
  7. Sections 1–13 — static long-form copy with the boundary language from §10.
  8. QA pass — verify determinism (same inputs → identical packet sans timestamp), responsive collapse <900px, no external requests, no Math.random in compute, and that no string anywhere claims physical qubit stabilization.

No frameworks, no build step, no network calls — drops straight into a static Hugging Face Space.