Exploring the Limits of Space-Time Interchangeability: A Mathematical Approach
Exploring Spacetime and Gravity through Temporal Flows Albert Einstein’s theory of relativity revolutionized our understanding of space and time, revealing their interconnected nature. However, the full extent of their interchangeability remains unexplored. Building on this, I propose a novel framework where space and time dynamically transform into one another through the concept of "temporal flows." This approach challenges classical interpretations of spacetime and introduces a refined mathematical model to explore this dynamic interplay. Temporal Flows and Modified Lorentz Transformations At the core of this exploration is the idea of space-time interchangeability, facilitated by a new variable—temporal flow density, denoted by T . To incorporate this, I modify the Lorentz transformation, a cornerstone of special relativity. The classical Lorentz factor, γ , is given by: γ = 1 1 − v 2 c 2 γ = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}} where v is velocity and c is the speed ...