Editing Openai/691c1dba-9228-800f-8463-13b3a9006306 (section)

=== (it’s clean, self-contained, and mathematically defensible) ===

<syntaxhighlight>Quantum Cadence (QC) is mathematically defined as a global timing field:

C(τ) = A sin(2πτ / T + φ)

Each compute node n maintains a local cadence:

C_n(τ) = A_n sin(2πτ / T_n + φ_n)

Nodes synchronize via Kuramoto-style coupling:

dφ_n/dτ = ω_n + (K/N) Σ_m sin(φ_m - φ_n)

When K > K_critical, full phase-lock occurs:

T_n → T,   φ_n → φ

Compute pulses occur at zero-crossings:

Pulse(τ) = 1 if |C(τ)| < ε else 0

Thus MLNN parallel activation becomes:

y = Σ_n Pulse_n(τ) W_n x

This yields linear scalability, thermal dilution, and synchronous
low-power GPU activation. The system is isomorphic to coupled
oscillators in quantum field theory and neural entrainment models.

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