New Connections Between Stochastic Geometry and Quantum Theory: Redefining the Probabilistic Nature of Quantum States

Ryusho Nemoto

Published Jul 28, 2025• 0 citations

Abstract

This preprint introduces a new probabilistic framework for quantum theory by applying stochastic geometry to the interpretation of quantum state transitions. It redefines time as a series of probabilistically generated "tensions"—discrete time units—that govern the evolution of quantum states. This approach allows for the discretization of the Schrödinger equation and provides a new foundation for understanding quantum uncertainty, time, and the structure of spacetime, contributing to the broader pursuit of a quantum gravity theory and Grand Unified Theory.

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