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Maxwell’s Equations in the Temporal Flow Physics Framework Introduction In classical electromagnetism, Maxwell’s equations describe the behavior of electric and magnetic fields as fundamental quantities. In Temporal Flow Physics (TFP) , we take a different perspective: time is fundamental, while space and fields emerge from the behavior of quantized one-dimensional temporal flows. This paper presents a reformulation of Maxwell’s equations within the TFP framework, in which electric and magnetic fields arise as emergent effective quantities from fluctuations and gradients in the temporal flow field F ( x , t ) F(x, t) . We derive these modified equations, show their reduction to classical electrodynamics in the appropriate limit, and explore their capacity to predict new physical effects. Section 1: The Temporal Flow Field and Emergent Fields In TFP, the fundamental field is the 1D quantized temporal flow F ( x , t ) F(x, t) , from which spacetime and fields emerge. We decompose...

  From Temporal Flow to Spacetime Geometry: Why Fluctuations Act as Scalar Fields in Temporal Flow Physics In the Temporal Flow Physics (TFP) framework, time is fundamental , while space, geometry, and matter emerge from the interactions of quantized one-dimensional temporal flows. Central to this theory is the flow field F ( x ) = F ˉ ( x ) + δ F ( x ) , F(x) = \bar{F}(x) + \delta F(x), which encodes the locally quantized rate of temporal progression at each point in a proto-manifold. This field decomposes into: A background flow F ˉ ( x ) \bar{F}(x) , which establishes causal structure and defines an emergent manifold with coordinates x μ x^\mu , and A fluctuation δ F ( x ) \delta F(x) , representing local deviations in the rate of temporal flow that manifest as matter , quantum fields , and gravitational phenomena . The alignment interaction —a term in the fundamental action that penalizes disparities in flow rate between neighboring flows—plays a pivotal role. I...

  Subjectivity, Objectivity, and Temporal Symmetry in TFP In my model of Temporal Flow Physics (TFP), I approach the concepts of objectivity and subjectivity from a foundational stance: I believe objective reality is the only thing that truly exists. What people call “subjective” is not a separate domain of existence, but rather a reflection of asymmetry in information—a partial view of the whole system. Incompleteness and Asymmetry Subjectivity arises due to incomplete knowledge. If a system is not fully known or observed, its apparent behavior may seem unpredictable or even contradictory. But this is not due to fundamental randomness—it’s simply because the observer doesn’t have all the relevant information. I interpret these gaps in knowledge as asymmetries in the temporal flow structure. If these flows were completely understood, the asymmetries would dissolve into fully objective knowledge. This reflects a key idea: asymmetry is not intrinsic to the universe—it’s contextua...

  Dynamical Mass from Flow Geometry in Temporal Flow Theory (TFT) One of the most interesting ideas in Temporal Flow Theory (TFT) is that mass is not a fundamental quantity , but instead emerges from the geometry and coupling of flows themselves. This post focuses on how fermionic mass arises dynamically from the curvature of the underlying flow potential—a concept I call flow inertia . 5.1 Motivation: Mass as Flow Inertia In conventional quantum field theory (QFT), the mass term in the Dirac Lagrangian is a constant: \mathcal{L}_\psi = \bar{\psi}(i\gamma^\mu \partial_\mu - m)\psi But TFT takes a different stance. I propose that: Mass = Flow Inertia = Curvature of the Flow Potential That is, m^2 \propto \left. \frac{\partial^2 V(F)}{\partial F^2} \right|_{F = F_0} Here, is the bosonic flow field, and is its equilibrium configuration. 5.2 Modified Dirac Lagrangian with Flow-Coupled Mass In TFT, mass becomes a function of the flow field: m(F) \equiv \sqrt{\lambd...

H ow Entropy Fits Into Temporal Flow Theory (TFT) In this post, we’re diving into the role of entropy in the context of Temporal Flow Theory (TFT) . Now, entropy in classical thermodynamics is often understood as a measure of disorder or the unavailability of energy for work . It’s a concept that most people are familiar with, but when viewed through the lens of TFT, entropy takes on a more nuanced meaning—interacting with temporal flows, phase transitions , and the fundamental structure of the universe. 1. Entropy’s Traditional Role: No Reimagination, Just Extension At its core, entropy remains the same. It still acts as a measure of disorder or energy dispersion in a system. What TFT adds to the equation is a deeper look at how entropy behaves in a universe driven by temporal flows —flows of energy, matter, and time itself. These temporal flows accumulate and influence entropy in new ways, especially as they interact with bosonic and fermionic flows , both fundamental to the...

The Flow-Space Metric The flow-space metric g ij ​ ( F ) is defined as the Hessian of the double-well potential: g ij ​ ( F ) = ∂ F i ​ ∂ F j ​ ∂ 2 Φ ( F ) ​ = λ [ 2 ( F i ​ − F 0 i ​ ) ( F j ​ − F 0 j ​ ) + ( ∥ F − F 0 ​ ∥ 2 − v 2 ) δ ij ​ ] . At the vacuum ( ∥ F − F 0 ​ ∥ 2 = v 2 ): g ij ​ ( F ) = 2 λ ( F i ​ − F 0 i ​ ) ( F j ​ − F 0 j ​ ) . This metric encodes the geometry of the flow space and determines how flows interact. It is rank-1 unless F − F 0 ​ has multiple non-zero components, ensuring that dimensionality emerges dynamically. 2. The Lagrangian The core Lagrangian for TFT can be written as: L = L kinetic ​ + L potential ​ + L interaction ​ , where: 2.1 Kinetic Term The kinetic term describes the propagation of flows: L kinetic ​ = 2 1 ​ g ij ​ ( F ) ∂ μ ​ F i ∂ μ F j . Here, g ij ​ ( F ) is the flow-space metric, and ∂ μ ​ F i represents gradients of the flow field in spacetime. 2.2 Potential Term The potential term governs the self-interaction of flows: L potential ​...