The 5-Dimensional Extension of the Temporal Theory of the Universe (TTU-5D). From Structured Time to Hyper-Time Dynamics

Abstract

The 5-dimensional extension of the Temporal Theory of the Universe (TTU-5D) generalizes the 4-dimensional temporal field τ(x, t) by introducing a meta-parameter — hyper-time Θ. This additional dimension describes the evolution of time itself, making possible a unified interpretation of gravitational, cosmological, and entropic phenomena without invoking dark matter or dark energy. The paper derives the 5-D Lagrangian ℒ(τ, Θ), formulates the field equations, and shows how gradients of hyper-time generate both additional gravitational acceleration and cosmological expansion. The approach reinterprets the Universe as a self-organizing temporal continuum, where geometry, energy, and entropy emerge from the dynamics of time.