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From Temporal Flow Physics to Quantum Mechanics: How Time Weaves the Quantum World by John Gavel Introduction What if the mysterious quantum behavior we see in particles isn’t fundamental? What if it emerges naturally from something even more basic — time itself? Temporal Flow Physics (TFP) proposes just that. Instead of starting with space and particles as the fundamental building blocks, TFP begins with fundamental temporal flows — simple, quantized “lines” of time evolving independently but interacting through internal dynamics. From these flows, the geometry of space and the behavior of matter arise naturally. Today, we’ll explore how this gives rise to quantum mechanics and the famous Schrödinger equation — the cornerstone of non-relativistic quantum theory. Fundamental Temporal Flows Imagine a network of nodes, each hosting a temporal flow — a vector with three components that changes with time: F i ( t ) = ( F i , A ( t ) ,    F i , B ( t ) ,    F i , C ( t ) ) F_i(t) ...

 Temporal Flow Physics: Mathematical Framework Summary  1. Base Manifold (Fundamental Time): Define a 1D base manifold representing fundamental time: M = ℝ (the real line of fundamental time t). 2. Flow Fiber and Flow Vector at Each Node: At each discrete network node i, and each time t in ℝ, define a 3-component flow vector: F_i(t) = (F_i,A(t), F_i,B(t), F_i,C(t)) ∈ {0, F_planck}³. Here, F_i(t) is the flow vector at node i at time t. The full collection {F_i(t)} for all nodes i describes the network of flows evolving over time. 3. Fiber Bundle Structure: The fiber at each time t is the discrete 3D flow vector space, and the total space is the bundle: E = M × F → M, where F is the space of all possible 3-component flow vectors at a node. 4. Internal Symmetry and Lie Algebra: A non-abelian Lie algebra g acts on the fibers F_i(t). For example, the generators satisfy: [T_a, T_b] = i ε_abc T_c, resembling an SU(2)-like or cyclic symmetry algebra. This induces internal symmetry tra...