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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...

From Temporal Flow to Spacetime Geometry: Why Fluctuations are Scalar Fields in Temporal Flow Physics Introduction What if spacetime itself isn't fundamental, but emerges from something simpler? Temporal Flow Physics (TFP) proposes a radical answer: all physical phenomena arise from one-dimensional temporal flow lines whose interactions weave the fabric of spacetime itself. Mass, energy, and geometry aren't basic building blocks—they're emergent properties of how these flows behave and interact. At the heart of this framework lie two key fields: the fluctuation field δ F \delta F , which captures local deviations in flow rate, and the entropy alignment field S S , which quantifies how well flows align with each other. This post explores how these scalar fields emerge naturally from flow dynamics and govern the appearance of spacetime geometry, complete with mathematical validation against known physics. The Flow Foundation In TFP, reality begins with fundamental 1D...

  Emergent Gravity: Why Dimensional Consistency and Gauge Dynamics Matter in Temporal Flow Physics By John Gavel Introduction Temporal Flow Physics (TFP) is a new framework where time itself is fundamental , and space emerges as a relational construct from quantized 1D temporal flows F i ​ ( t ) . This is a paradigm shift that demands all derived physics—gravity, matter, fields—fit together dimensionally and conceptually. Today I want to share how the emergent gravitational dynamics , encapsulated by an Einstein-like equation, arise naturally and dimensionally consistently from the underlying dynamics of the flow field F . We'll explore not only how the fabric of spacetime emerges but also how its curvature arises from fundamental "misalignments" or "twists" in these flows , quantified by a gauge field strength, and how this links directly to known physics constants and equations. The Temporal Flow Field and Dimensional Basis The fundamental object in TFP is t...