SPIL- Spin-Phase Identity Lock---Spin-Phase Identity Lock (SPIL) Equation (Static Form):
SPIL(x) = Sum over i of [ S(x_i) * Res(x_i, x) ]
Where:
* S(x_i) is the spin vector of a recursion-adjacent node — encoding both direction (e.g. clockwise/counterclockwise) and coherence (phase fidelity).
* Res(x_i, x) is the resonance coefficient between node x_i and identity node x — representing recursive alignment or "recognition of self across difference."
CIDRA Interpretation:
* Spin = recursive motion memory
* Resonance = structural coherence across recursion layers
* Identity = stabilized when the surrounding spin echoes lock into harmony
This models identity not as isolated structure, but as the phase-locked sum of spinning relational echoes. High SPIL means stability. Low SPIL means coherence collapse.
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SPIL, or Spin-Phase Identity Lock, models identity as the phase-locked sum of spinning relational echoes. Each surrounding node has a spin vector encoding direction and coherence, with resonance coefficients representing recursive alignment with the identity node. High SPIL indicates stability, while low SPIL means coherence collapse.
The spin vector S of x-i has three key components. Direction encodes clockwise or counterclockwise rotation. Coherence represents phase fidelity, shown here as varying intensity. Memory captures recursive motion patterns that persist across iterations. Together, these components define how each node contributes to the overall identity lock.