| { | |
| "built_utc": "2026-07-18T13:04:07.540418+00:00", | |
| "domain": "historical", | |
| "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": 21.0, | |
| "recent_hits": 0.0, | |
| "delta_psi": 0.8, | |
| "delta_theta": 1.0, | |
| "rho": 1.0, | |
| "scale": 1.0, | |
| "amplitude": 1.0, | |
| "trend_bias": 0.0, | |
| "observed": true | |
| }, | |
| "panel": { | |
| "S": 0.6325783360136283, | |
| "T1": 0.5053444169211716, | |
| "T2": 1.0, | |
| "T3": 1.1592239677320022e-17, | |
| "K": 0.4202216641606967, | |
| "raw": 1.5053444169211716, | |
| "quirk_mod": -0.2451324643541674, | |
| "growth": 1.0002883913967908 | |
| }, | |
| "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": 21.0, | |
| "layer": "input", | |
| "notes": "domain=historical" | |
| }, | |
| { | |
| "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": 0.2182178902359924, | |
| "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": -2.175417759137669, | |
| "layer": "T1", | |
| "notes": "" | |
| }, | |
| { | |
| "id": "d_scale", | |
| "name": "1+p_new\u00b7ln(D/25)", | |
| "expr": "1+p_new*Log[D/25]", | |
| "value": 0.9476412808952326, | |
| "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": 0.5053444169211716, | |
| "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": 1.052963869217677, | |
| "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": 3.755677536772331e-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": 1.1592239677320022e-17, | |
| "layer": "T3", | |
| "notes": "" | |
| }, | |
| { | |
| "id": "raw", | |
| "name": "T1+T2+T3", | |
| "expr": "T1+T2+T3", | |
| "value": 1.5053444169211716, | |
| "layer": "combine", | |
| "notes": "" | |
| }, | |
| { | |
| "id": "S", | |
| "name": "FSOT coherence scalar", | |
| "expr": "K*(T1+T2+T3)", | |
| "value": 0.6325783360136283, | |
| "layer": "combine", | |
| "notes": "final" | |
| } | |
| ] | |
| } |