The Radioactive Equilibrium Point: Unified Hypothesis of Radioactive Equilibrium: A Dual-Mechanism Framework Combining Production–Loss Dynamics and Electromagnetic Modulation of the Effective Decay Constant

We present a unified hypothesis describing stationary states in nuclear systems
by combining two distinct mechanisms: (1) the classical production–loss balance
that defines radioactive equilibrium, and (2) a speculative but mathematically con-
sistent phenomenological model in which electromagnetic fields may slightly modify
the effective decay constant. We show that both mechanisms can be expressed under
the general condition dNdt = P − λeff N = 0, which defines a generalized Radioactive
Equilibrium Point (REP). The framework preserves the standard laws of nuclear
physics while allowing theoretical exploration of resonance-induced modulations of
λeff . Order-of-magnitude estimates indicate that any such modulation is severely
constrained by the natural energy scales of nuclear transitions, yet the unified model
offers a rigorous mathematical structure for systematic analysis and simulation.