Gaussianization Flow Law (A Non-Gaussian Phase Noise Invariant in Stochastic and Quantum Systems)

 Gaussianization Flow Law

(A Non-Gaussian Phase Noise Invariant in Stochastic and Quantum Systems)                  This paper studies the evolution of non-Gaussian phase fluctuations in stochastic and quantum systems. We construct an observable based on second and fourth cumulants and show that it approaches a constant value under broad physical conditions.

The main result is the emergence of a universal invariant:
Y(t) = σ⁴(t) / (κ(t) · t)
We show that this quantity converges to a constant λ under short-memory, finite-cumulant dynamics. This connects stochastic processes, decoherence physics, and renormalization flow into a unified structure. 

Link:- https://zenodo.org/records/19810090 .                    

 https://doi.org/10.5281/zenodo.19810089  

GAUGE BALANCE LAW

 

GAUGE BALANCE LAW

This paper introduces the Gauge Balance Law, a variational principle governing gauge coupling unification. We define an invariant B = b1 + b3 − 2b2 and demonstrate that minimizing the spread of inverse couplings leads to B ≈ 0. The result is derived analytically, extended to 2-loop order, and validated numerically. Physical implications and experimental predictions are discussed.