Ken Umeno

Universal Mass-Gap Formula ∆ = μ ln K: Exact Spectral-Chaos Scaling and Hadron Spectroscopy

We propose a universal logarithmic scaling law for excitation gaps, ∆a(K) = μa ln K, where K ≥ 2 is the integer branch degree of exactly solvable chaos and μa is a sector-dependent physical calibra- tion scale. The mathematical origin of the logarithm is the exact regularity-reso...

Universal Mass-Gap Formula ∆ = μ ln K: Exact Spectral-Chaos Scaling and Hadron Spectroscopy

We propose a universal logarithmic scaling law for excitation gaps, ∆a(K) = μa ln K, where K ≥ 2 is the integer branch degree of exactly solvable chaos and μa is a sector-dependent physical calibra- tion scale. The mathematical origin of the logarithm is the exact regularity-reso...

Chaotic Origin of Tsirelson Bound

We report a rigorous, deterministic origin for quantum non-locality and the Tsirelson bound (2 2) by revealing profound macroscopic emergent properties hidden within exactly solvable chaos towers under a strictly fixed invariant Cauchy measure (γ = 1). While evaluating joint corr...

Universal Mass Gap Formula ∆m = m0 ln K: Spontaneous Kubo-Martin-Schwinger State Emergence with Maximal Quantum Chaos

We demonstrate that quark confinement and a non-zero quantized mass gap naturally emerge from deterministic, exactly solvable chaotic dynamics. Crucially, the fluctuation spectrum is natively quantized by discrete Lyapunov exponents λL = lnK, yielding a universal logarithmic mass...