| {
|
| "built_utc": "2026-07-18T13:04:07.537700+00:00",
|
| "domain": "linguistic",
|
| "formula": "S = K * (T1 + T2 + T3)",
|
| "authority": "PFLT_FSOT_2_1_aligned + FSOT.Scalar.lean / NeuroLab",
|
| "inputs": {
|
| "N": 1.0,
|
| "P": 1.0,
|
| "D_eff": 12.0,
|
| "recent_hits": 0.0,
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| "delta_psi": 0.8,
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| "delta_theta": 1.0,
|
| "rho": 1.0,
|
| "scale": 1.0,
|
| "amplitude": 1.0,
|
| "trend_bias": 0.0,
|
| "observed": true
|
| },
|
| "panel": {
|
| "S": 0.6513247618848969,
|
| "T1": 0.5499552199094241,
|
| "T2": 1.0,
|
| "T3": 1.7070633668184452e-17,
|
| "K": 0.4202216641606967,
|
| "raw": 1.5499552199094242,
|
| "quirk_mod": -0.2451324643541674,
|
| "growth": 1.0002883913967908
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| },
|
| "steps": [
|
| {
|
| "id": "pi",
|
| "name": "\u03c0",
|
| "expr": "Pi",
|
| "value": 3.141592653589793,
|
| "layer": "seed",
|
| "notes": ""
|
| },
|
| {
|
| "id": "e",
|
| "name": "e",
|
| "expr": "E",
|
| "value": 2.718281828459045,
|
| "layer": "seed",
|
| "notes": ""
|
| },
|
| {
|
| "id": "phi",
|
| "name": "\u03c6 golden ratio",
|
| "expr": "(1+Sqrt[5])/2",
|
| "value": 1.618033988749895,
|
| "layer": "seed",
|
| "notes": ""
|
| },
|
| {
|
| "id": "gamma",
|
| "name": "\u03b3 Euler-Mascheroni",
|
| "expr": "EulerGamma",
|
| "value": 0.5772156649015329,
|
| "layer": "seed",
|
| "notes": ""
|
| },
|
| {
|
| "id": "G_cat",
|
| "name": "G Catalan",
|
| "expr": "Catalan",
|
| "value": 0.915965594177219,
|
| "layer": "seed",
|
| "notes": ""
|
| },
|
| {
|
| "id": "alpha",
|
| "name": "\u03b1 damping",
|
| "expr": "Log[\u03c0]/(e\u00b7\u03c6^13)",
|
| "value": 0.0008082937414140405,
|
| "layer": "L1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "psi_con",
|
| "name": "\u03c8_con consciousness baseline",
|
| "expr": "1-1/e",
|
| "value": 0.6321205588285577,
|
| "layer": "L1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "eta_eff",
|
| "name": "\u03b7_eff efficiency",
|
| "expr": "1/(\u03c0-1)",
|
| "value": 0.46694220692425986,
|
| "layer": "L1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "beta",
|
| "name": "\u03b2 perturbation",
|
| "expr": "Exp[-(\u03c0^\u03c0+(e-1))]",
|
| "value": 2.620866911333223e-17,
|
| "layer": "L1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "gamma_c",
|
| "name": "\u03b3_c perception damping",
|
| "expr": "-Log[2]/\u03c6",
|
| "value": -0.4283885167922066,
|
| "layer": "L1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "omega",
|
| "name": "\u03c9 oscillation",
|
| "expr": "Sin[\u03c0/e]\u00b7\u221a2",
|
| "value": 1.2941305780559662,
|
| "layer": "L1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "theta_s",
|
| "name": "\u03b8_s phase",
|
| "expr": "Sin[\u03c8_con\u00b7\u03b7_eff]",
|
| "value": 0.29089654054517305,
|
| "layer": "L2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "poof",
|
| "name": "poof / tunnel factor",
|
| "expr": "Exp[(-Log[\u03c0]/e)/(\u03b7_eff\u00b7Log[\u03c6])]",
|
| "value": 0.1534822148944508,
|
| "layer": "L2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "c_eff",
|
| "name": "coherence efficiency",
|
| "expr": "(1-poof\u00b7Sin[\u03b8_s])\u00b7(1+0.01\u00b7G/(\u03c0\u00b7\u03c6))",
|
| "value": 0.9577022026205613,
|
| "layer": "L2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "a_bleed",
|
| "name": "acoustic bleed",
|
| "expr": "Sin[\u03c0/e]\u00b7\u03c6/\u221a2",
|
| "value": 1.046973630587551,
|
| "layer": "L2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "p_var",
|
| "name": "phase variance",
|
| "expr": "-Cos[\u03b8_s+\u03c0]",
|
| "value": 0.9579871226722757,
|
| "layer": "L2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "b_in",
|
| "name": "bleed-in factor",
|
| "expr": "c_eff\u00b7(1-Sin[\u03b8_s]/\u03c6)",
|
| "value": 0.7879407922764435,
|
| "layer": "L2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "a_in",
|
| "name": "acoustic inflow",
|
| "expr": "a_bleed\u00b7(1+Cos[\u03b8_s]/\u03c6)",
|
| "value": 1.6668538450045731,
|
| "layer": "L2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "suction",
|
| "name": "suction factor",
|
| "expr": "poof\u00b7(-Cos[\u03b8_s-\u03c0])",
|
| "value": 0.14703398542810284,
|
| "layer": "L2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "chaos",
|
| "name": "chaos factor",
|
| "expr": "\u03b3_c/\u03c9",
|
| "value": -0.33102418261048183,
|
| "layer": "L2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "p_base",
|
| "name": "perceived param base",
|
| "expr": "\u03b3/e",
|
| "value": 0.21234577623937842,
|
| "layer": "L2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "p_new",
|
| "name": "new perceived param",
|
| "expr": "p_base\u00b7\u221a2",
|
| "value": 0.30030227667037146,
|
| "layer": "L2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "c_factor",
|
| "name": "consciousness factor",
|
| "expr": "c_eff\u00b7p_new",
|
| "value": 0.28760015181918397,
|
| "layer": "L2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "K",
|
| "name": "universal scale K",
|
| "expr": "\u03c6\u00b7(\u03b3/e)\u00b7\u221a2/Log[\u03c0]\u00b70.99",
|
| "value": 0.4202216641606967,
|
| "layer": "L2",
|
| "notes": "\u22480.4202"
|
| },
|
| {
|
| "id": "N",
|
| "name": "N agents/tokens",
|
| "expr": "N",
|
| "value": 1.0,
|
| "layer": "input",
|
| "notes": ""
|
| },
|
| {
|
| "id": "P",
|
| "name": "P pressure/priority",
|
| "expr": "P",
|
| "value": 1.0,
|
| "layer": "input",
|
| "notes": ""
|
| },
|
| {
|
| "id": "D_eff",
|
| "name": "effective dimension",
|
| "expr": "D_eff",
|
| "value": 12.0,
|
| "layer": "input",
|
| "notes": "domain=linguistic"
|
| },
|
| {
|
| "id": "recent_hits",
|
| "name": "recent hits",
|
| "expr": "recent_hits",
|
| "value": 0.0,
|
| "layer": "input",
|
| "notes": ""
|
| },
|
| {
|
| "id": "delta_psi",
|
| "name": "\u0394\u03c8 phase drive",
|
| "expr": "delta_psi",
|
| "value": 0.8,
|
| "layer": "input",
|
| "notes": ""
|
| },
|
| {
|
| "id": "delta_theta",
|
| "name": "\u0394\u03b8 angle drive",
|
| "expr": "delta_theta",
|
| "value": 1.0,
|
| "layer": "input",
|
| "notes": ""
|
| },
|
| {
|
| "id": "rho",
|
| "name": "\u03c1 density",
|
| "expr": "rho",
|
| "value": 1.0,
|
| "layer": "input",
|
| "notes": ""
|
| },
|
| {
|
| "id": "observed",
|
| "name": "observer flag",
|
| "expr": "observed",
|
| "value": 1.0,
|
| "layer": "input",
|
| "notes": ""
|
| },
|
| {
|
| "id": "growth",
|
| "name": "growth term",
|
| "expr": "Exp[\u03b1\u00b7(1-hits/N)\u00b7\u03b3/\u03c6]",
|
| "value": 1.0002883913967908,
|
| "layer": "T1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "np_sqrtD",
|
| "name": "N\u00b7P/\u221aD_eff",
|
| "expr": "N*P/Sqrt[D_eff]",
|
| "value": 0.28867513459481287,
|
| "layer": "T1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "cos_psi",
|
| "name": "cos((\u03c8_con+\u0394\u03c8)/\u03b7_eff)",
|
| "expr": "Cos[(\u03c8_con+\u0394\u03c8)/\u03b7_eff]",
|
| "value": -0.9972206636464496,
|
| "layer": "T1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "exp_damp",
|
| "name": "exp(-\u03b1\u00b7hits/N + \u03c1 + b_in\u00b7\u0394\u03c8)",
|
| "expr": "Exp[-\u03b1*hits/N + \u03c1 + b_in*\u0394\u03c8]",
|
| "value": 5.105674834753695,
|
| "layer": "T1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "coh_term",
|
| "name": "1+growth\u00b7c_eff",
|
| "expr": "1+growth*c_eff",
|
| "value": 1.9579783956964847,
|
| "layer": "T1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "base",
|
| "name": "T1 base (pre D-scale)",
|
| "expr": "np_sqrtD*cos*exp*coh",
|
| "value": -2.877807194175841,
|
| "layer": "T1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "d_scale",
|
| "name": "1+p_new\u00b7ln(D/25)",
|
| "expr": "1+p_new*Log[D/25]",
|
| "value": 0.7795873857175413,
|
| "layer": "T1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "quirk_mod",
|
| "name": "observer quirk_mod",
|
| "expr": "Exp[c_factor*p_var]*Cos[\u0394\u03c8+p_var]",
|
| "value": -0.2451324643541674,
|
| "layer": "T1",
|
| "notes": "applied only when observed=True"
|
| },
|
| {
|
| "id": "T1",
|
| "name": "T1 term",
|
| "expr": "base*d_scale*quirk_mod",
|
| "value": 0.5499552199094241,
|
| "layer": "T1",
|
| "notes": ""
|
| },
|
| {
|
| "id": "T2",
|
| "name": "T2 term",
|
| "expr": "scale*amplitude + trend_bias",
|
| "value": 1.0,
|
| "layer": "T2",
|
| "notes": ""
|
| },
|
| {
|
| "id": "chaos_mod",
|
| "name": "1+chaos\u00b7(D-25)/25",
|
| "expr": "1+chaos*(D-25)/25",
|
| "value": 1.1721325749574505,
|
| "layer": "T3",
|
| "notes": ""
|
| },
|
| {
|
| "id": "poof_mod",
|
| "name": "1+poof\u00b7Cos[\u03b8_s+\u03c0]+suction\u00b7Sin[\u03b8_s]",
|
| "expr": "1+poof*Cos[\u03b8s+\u03c0]+suction*Sin[\u03b8s]",
|
| "value": 0.8951370105132859,
|
| "layer": "T3",
|
| "notes": ""
|
| },
|
| {
|
| "id": "valve",
|
| "name": "\u03b2\u00b7Cos[\u0394\u03c8]\u00b7(N P/\u221aD)\u00b7chaos\u00b7poof",
|
| "expr": "valve",
|
| "value": 5.530578834692591e-18,
|
| "layer": "T3",
|
| "notes": ""
|
| },
|
| {
|
| "id": "acoustic",
|
| "name": "1+(a_bleed\u00b7Sin\u00b2\u0394\u03b8)/\u03c6+(a_in\u00b7Cos\u00b2\u0394\u03b8)/\u03c6",
|
| "expr": "acoustic",
|
| "value": 1.7589044180776872,
|
| "layer": "T3",
|
| "notes": ""
|
| },
|
| {
|
| "id": "phase",
|
| "name": "1+b_in\u00b7p_var",
|
| "expr": "1+b_in*p_var",
|
| "value": 1.7548371324290235,
|
| "layer": "T3",
|
| "notes": ""
|
| },
|
| {
|
| "id": "T3",
|
| "name": "T3 term",
|
| "expr": "valve*acoustic*phase",
|
| "value": 1.7070633668184452e-17,
|
| "layer": "T3",
|
| "notes": ""
|
| },
|
| {
|
| "id": "raw",
|
| "name": "T1+T2+T3",
|
| "expr": "T1+T2+T3",
|
| "value": 1.5499552199094242,
|
| "layer": "combine",
|
| "notes": ""
|
| },
|
| {
|
| "id": "S",
|
| "name": "FSOT coherence scalar",
|
| "expr": "K*(T1+T2+T3)",
|
| "value": 0.6513247618848969,
|
| "layer": "combine",
|
| "notes": "final"
|
| }
|
| ]
|
| } |
