Nuclear Stabilisation Framework v1.0: Inertial Vector Phase-Locking for Beta-Decay Suppression

Abstract

[ABSTRACT]This paper presents a nuclear stabilisation framework using inertial vector phase-locking. The phase S_μ = η_μν v_I^ν (t' - t) locks beta decay when t' = t. The 4D inertial vector v_I^ν provides directionality. A scalar k(t' - t) fails to reproduce the observed physical behaviour. [INTRODUCTION]Nuclear instability from beta decay limits applications in energy and materials. Current scalar models do not correctly predict the directional suppression observed in confined systems. This work proposes that stabilisation occurs via phase-locking through a 4D inertial vector. The vector v_I^ν couples the nucleus proper time to an external inertial frame, forcing coherence when t' = t. The equation S_μ = η_μν v_I^ν (t' - t) formalises the mechanism. When the temporal offset is zero, the phase S_μ vanishes and beta decay is suppressed. The vectorial nature is essential: the scalar k(t' - t) does not capture the directionality of the process. This framework, termed the Cortés framework, provides a basis for active control of nuclear stability. [MAIN CONTENT]1. EQUATIONS_μ = η_μν v_I^ν (t' - t) 2. TERMSS_μ = Stabilisation phase. 4D vector.η_μν = Minkowski metric. Defines spacetime geometry.v_I^ν = 4D inertial vector. Defines direction.(t' - t) = Temporal offset between inertial coordinate time t' and nucleus proper time t. 3. CONDITIONIf (t' - t) = 0 → S_μ = 0 → phase locked → beta decay suppressed. 4. KEY NOTEv_I^ν gives direction. Without it, the model fails. Scalar k·(t' - t) does not work.