Entropy drift and recovery made testable
Entropy drift and recovery made testable
Shunyaya reads entropy drift and recovery as one loop. Zeozo detects the early lift from centre; Syasys releases alignment only after calm is earned. The aim is simple: see the silent transition before the visible state that classic thresholds catch at the edge.
Ground Zero to edge — when change truly begins
Transformation begins the moment a series departs from Ground Zero.
The edge is when change becomes classifiable by conventional science.
We keep both views but elevate the pre-edge phase, because that’s where prevention and early action live.
Zeozo — the entropy drift signal (ZEOZO-Core)
Plain-text core
med = median(x)
rad = median(|x - med|); rad = max(rad, eps)
y_t = (x_t - med)/rad
E_t = (1 - lam)*E_{t-1} + lam*(y_t)^2
Z_t = log(1 + E_t) # Zeozo (drift)
A_t = (1 - mu)*A_{t-1} + mu*Z_t
Delta_t = abs(Z_t - A_t)
How to read it
Z_trises promptly as rupture forms, then stabilizes.- Robust median/MAD makes it scale-free;
log(1+•)keeps extremes tame. A_tadds persistence;Delta_tmeasures the gap between fast drift and slow recovery.
Multi-input (optional)
y_t = sum_j w_j * y_{j,t}
E_t = (1 - lam)*E_{t-1} + lam*(y_t)^2
Z_t = log(1 + E_t)
Syasys — alignment from earned calm (SYASYS-Core)
Plain-text core
Q_t = rho*Q_{t-1} + (1 - rho)*clip(A_t - Z_t, 0, 1) # calm accumulator
SyZ_t = ( 1 / (1 + Z_t + kappa*Delta_t) ) * ( 1 - exp( -muR * Q_t ) )
How to read it
- Drift alone cannot unlock alignment; calm must accumulate.
SyZ_tis bounded, monotone, time-aware and only rises when stability is genuinely earned.
The closed loop: from drift to earned alignment
A single operational dial compares recovery vs drift.
Drive_t = SyZ_t - Z_t
HAI_t = tanh( beta * (SyZ_t - Z_t) ) # bounded dashboard dial
Use it this way
- Watch Zeozo for the early rise.
- Confirm Syasys is genuinely climbing (earned calm).
- Use
HAI_tfor a clear “how safe / how ready” summary.
Where this lives in SSM (unified canon)
Zeozo and Syasys run inside SSM so every result can carry a symbolic numeral:
x = (m, a) # m = classical magnitude, a in [-1, +1] = alignment
phi((m,a)) = m # collapse guarantee (classical math recovered)
Lawful mappings (declare one in your manifest)
a = 2*SyZ_t - 1
# or
a = tanh( c * (A_t - Z_t) ), c > 0
This keeps classical numbers intact while adding a centre↔edge axis for audit and action.
Scope & license
Observation-only research; not an operational prediction system.
© The Authors of the Shunyaya Framework — Zeozo and Syasys canonicals.
License: CC BY-NC 4.0.
What is Shunyaya?
Shunyaya is a symbolic-first framework for alignment: it treats “zero/centre” as a living reference that systems orbit, drift from, and recover toward. In Sanskrit, Shunya = zero/void; Aya = flow/motion. Shunyaya is the flow of zero — the invisible rhythm that governs transition from drift to stability.
Explore Shunyaya Projects:
Introduction to Shunyaya Framework
https://github.com/OMPSHUNYAYA/Shunyaya-Symbolic-Mathematics-Master-Docs
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