ABSTRACT The conservation of probability is not merely a mathematical byproduct of unitary quantum evolution. It constitutes a fundamental structural constraint of the physical universe — a causality protection mechanism enforced at the Minimum Informational Boundary (MIB). This paper demonstrates that the MIB is the geometric locus at which the universe’s self-consistency condition is physically instantiated, and that probability conservation is the measurable expression of that condition. Further, this paper establishes that the scalar field formalism, Lorentz invariance, and the Einstein field equations are not independent theoretical structures but convergent formal expressions of the same underlying MIB constraint. Each encodes, in its own mathematical language, the same inviolate requirement: that the informational content of a closed physical system cannot be created from nothing, cannot be annihilated without remainder, and cannot propagate in a manner that violates causal ordering.
Gerald Goll (Sun,) studied this question.