Operational Physics of Spw Parsing

To model subjective, multidimensional parsing we treat each token as a photon-like wavepacket traversing an optical substrate (the document). Operators become optical elements that alter phase, split beams, or confine energy. This approach aligns with:

• Neural wave interference models in cognitive neuroscience,
• Optical signal-processing pipelines, and
• LLVM’s data-flow representation, enabling simulation.

^model[photonic.parse]{
  photon   : { token, λ:semanticWeight, φ:startPhase }
  element  : operator|scope|grating
  axes     : [<sem>,<syn>,<prag>]
  flow     : refract(condition) → bend(path)
  detector : interfere(beamSet) → pattern(meaning,coherence)
}

3.1 · Wave Function

\(\psi_{token}(x,t) = A \, e^{i(kx - \omega t + \phi)}\) where amplitude \(A\) ≈ token salience, \(k\) ≈ syntactic momentum, and phase \(\phi\) encodes perspective.

3.2 · Operator Matrix

O_splitter =
  ⎡ cos θ   sin θ ⎤
  ⎣ sin θ  -cos θ ⎦   // θ derived from operator precedence weight

3.3 · Scope Resonance

A brace scope of length \(L\) resonates if \(2L = n\lambda\). Matching wavelengths reinforce context; mismatched wavelengths attenuate.

^binding[llvm.photonic]{
  photon        → %token_struct { λ, φ }
  operator      → call @splitter(theta)
  scope         → label %cavity_start … br %cavity_end
  interference  → call @detector(return_buf)
}

This mapping allows use of clang -emit-llvm plus an optical-physics runtime to execute Spw code as beam-path simulations.

• Parse-Coherence Δ: variance of interference fringes vs. human coherence judgments.
• Phase-Shift Study: adjust reader phase \(\phi\) → measure meaning drift.
• Beam-Loss Ratio: energy dissipated when tokens exit context prematurely.

1. Integrate semantic-gradient fields (see gradients.html) to modulate refractive index.
2. Couple with fMRI-derived activation data for empirical validation.
3. Bundle as a plug-in for symbolic debuggers to visualize live beam paths.