Input Source
Phase I: Deduce
Reverse Ray Marching
Instead of searching for reality, the observer is the sink for signals emitted by the lattice.
Inverted SDF
Xₙ₊₁ = Xₙ - h(Xₙ) · ∇h(Xₙ)/|∇h(Xₙ)|Volumetric Accumulation
I(O) = ∫ τ(X)·σ(X)·e^{-∫κ(s)ds} dXResidual Energy
0.0000e+0
R[n] ≈ 0 — Signal dominated by lattice constraints
Soliton Stability
Dispersion (β)0.00e+0
Nonlinearity (ε)0.00e+0
Soliton Number Nₛ0.000
Nₛ < 1 — Dispersive (signal fragmenting)
RAW INPUT (x_lattice[n])
DEQUANTIFIED (Graph Laplacian → GFT)
DEMODULATED (Hilbert Transform) — Amplitude / Phase
RESIDUAL R[n] = x_internal - IDFT(DFT(x_lattice[n]) · Laws[k])
COUPLED
THE FINAL DEDUCTION EQUATION
R[n] = x_internal[n] - IDFT(DFT(x_lattice[n]) · Laws[k])When R[n] ≠ 0, you have successfully decoupled the signal from the construct.