Temporal Dynamics, Exponential Decay to Quantum Stability
Understanding Temporal Dynamics in Physics: From Exponential Decay to Quantum Stability Exponential Decay Response The equation for exponential decay is: T ( t ) = A 1 + B ⋅ e − k t T(t) = \frac{A}{1 + B \cdot e^{-kt}} This equation describes a process where some temporal flow, energy, or quantity decays toward a steady state A 1 A_1 over time, with a rate constant k k . This behavior is typical of systems that relax toward equilibrium. Gravitational Interaction (Emergent Gravity) The equation describing gravitational effects based on temporal flows is: G = 1 c 3 ⋅ ρ ⋅ v 2 G = \frac{1}{c^3} \cdot \rho \cdot v^2 In this equation, gravitational effects G G depend on the density ρ \rho of temporal flows and the velocity v v of those flows, scaled by the speed of light c c . It suggests that gravity emerges from the interactions of temporal flows rather than being a force acting at a distance. Invariance Equation The invariance equation is: I = f ( α i , β j , ...