Application of Tension to Stochastic Geometry and Quantum Theory: Integration with General Relativity

This paper explores the application of the concept of "tension," defined as the smallest unit of time, to stochastic geometry and quantum theory. By extending tension as a discrete and probabilistically generated particle, time is redefined as a sequence of time events. Using Markov and Poisson processes, the probabilistic behavior of tension’s emergence and transition is modeled, establishing a probabilistic relationship between quantum states and time evolution. This approach advances the understanding of quantum gravity, noncommutative geometry, and provides a new pathway toward the Grand Unified Theory (GUT).