From Temporal Flow to Spacetime Geometry
From Temporal Flow to Spacetime Geometry: A Rigorous Framework for Dimensional Emergence Temporal Flow Physics (TFP) is a radically minimalistic framework where time is fundamental, and space, gauge fields, entropy, and gravity emerge from quantized one-dimensional temporal flows F i ( t ) F_i(t) . Unlike conventional physics, TFP does not assume a preexisting manifold, coordinates, or field content. Everything arises from the dynamics and relationships between these temporal flows. In this blog, I develop a precise and mathematically rigorous construction of how spatial dimensions, gauge structures, and geometric curvature naturally emerge from nested comparisons of temporal flows. I also derive explicit equations of motion, construct an emergent metric, and show how entropy corresponds to curvature energy — paving the way toward gravity from flow dynamics. Foundations: The Action Principle We begin with the discrete action governing a network of temporal flows F...