Python: minimal_video.py
We encode 2-frame videos of a 2 × 2 pixel grid as complex wavefunctions:
where frame 0 is the real part and frame 1 is the imaginary part. Each video is scored by the spectral complexity Cs of ψ — the information-theoretic cost of its Fourier representation. The off-diagonal density matrix B = ρ− diag(ρ) is computed for all 28 = 256 possible two-frame videos, and its Frobenius norm ∥B∥ is taken as the boson signal.
The minimum-complexity states (Cs = 0) — uniform frames, all pixels identical — already carry the
maximum boson signal ∥B∥ = 
∕2. The maximally anti-correlated configuration (checkerboard
transition, flipping to its complement) also achieves ∥B∥ = 
∕2 at Cs = 3:
The vacuum (zero information content) and the maximally structured transition produce identical boson signal.
Conclusion: The boson signal tracks something topological about the pixel transition, not its complexity. This motivates a structural analysis of the off-diagonal matrix.