Formalizing Temporal Physics: A Framework for Emergent Spacetime and Quantum Gravity
Formalizing Temporal Physics: A Framework for Emergent Spacetime and Quantum Gravity Introduction: Ensuring Dimensional Consistency in Temporal Physics A key challenge in developing a self-consistent theory of physics is ensuring that all derived equations maintain proper dimensional consistency. Go figure. By establishing a rigorous mathematical structure for temporal physics, we can systematically connect fundamental temporal flows to emergent spacetime, mass-energy, gravity, and quantum behavior. This blog presents a structured approach to formalizing these concepts, ensuring that every formulation remains consistent with Planck-scale principles. I. Fundamental Temporal Flows 1. Primitive Flow Elements Definition : A flow f i f_i is a directed accumulation of Planck time intervals t p = ℏ G / c 5 t_p = \sqrt{\hbar G/c^5} . f i = { Δ t ( k ) } , Δ t ( k ) = n k t p , n k ∈ N f_i = \{ \Delta t^{(k)} \}, \quad \Delta t^{(k)} = n_k t_p, \quad n_k \in \mathbb{N} Flow Spac...