Dist Babble

  Lorentz Invariance, Renormalization, and Phase Structure in Temporal Flow Theory In Temporal Flow Physics (TFP), the fundamental object is not spacetime, but a discrete network of 1D temporal flows F i ( t ) F_i(t) , each evolving forward in causal order. These are not spatial vectors embedded in a background — space emerges from the correlations between them. This shifts the burden of Lorentz invariance: instead of being imposed as a symmetry of background spacetime, it must emerge from intrinsic properties of the flow dynamics. Lorentz Invariance as an Emergent Principle We begin by identifying the only intrinsic, observer-independent scalar associated with a pair of flows F i ( t ) F_i(t) and F j ( t ) F_j(t) : the proper time separation τ i j = ∣ t i − t j ∣ = N i j t p \tau_{ij} = |t_i - t_j| = N_{ij} t_p where N i j ∈ Z N_{ij} \in \mathbb{Z} is the number of Planck-time steps between flows i i and j j . Importantly, any function of τ i j \tau_{ij} is manifestly in...

  Equations of Motion for the Flow Fluctuation Field δF To derive the equations of motion for the fluctuation field δF from my proposed action, I analyze each term in the effective action Γ[g, δF], treating the emergent metric g₍μν₎ as a fixed background during variation. 1. Full Action Recap The effective action is Γ [ g , δ F ] = ∫ d 4 x   − g [ 1 2   g μ ν   ∂ μ δ F   ∂ ν δ F ⏟ Kinetic − V ( δ F ) ⏟ Potential − λ 2  ⁣ ∫ d 4 y   − g ( y )   K ( x − y )   δ F ( x )   δ F ( y ) ⏟ Nonlocal Interaction ] . \Gamma[g,\delta F] =\int d^4x\,\sqrt{-g}\Bigl[\underbrace{\tfrac12\,g^{\mu\nu}\,\partial_\mu\delta F\,\partial_\nu\delta F}_{\text{Kinetic}} -\underbrace{V(\delta F)}_{\text{Potential}} -\underbrace{\tfrac\lambda2\!\int d^4y\,\sqrt{-g(y)}\,K(x-y)\,\delta F(x)\,\delta F(y)}_{\text{Nonlocal Interaction}}\Bigr]. 2. Variation of the Action The Euler–Lagrange equation, δ Γ / δ δ F ( x ) = 0 \delta\Gamma/\delta\delta F(x)=0 , breaks into three pieces. • Kinetic Term Γ k i n =...

  Temporal Flow Physics: A New Interpretation of Quantum Interference Beyond Wavefunctions: How Temporal Flows Create Quantum Behavior For decades, we've struggled with the interpretation of quantum mechanics. What does the wavefunction physically represent? Why do particles behave as waves? What actually happens during measurement? Today, I'd like to share a new perspective that I've been developing: Temporal Flow Physics (TFP). The Double-Slit Experiment Revisited Let's start with the iconic double-slit experiment. In standard quantum mechanics, we describe a particle approaching two slits with a wavefunction: $$\psi(x) = A \left( e^{i p_1 x / \hbar} + e^{i p_2 x / \hbar} \right)$$ The resulting probability distribution shows the familiar interference pattern: $$|\psi(x)|^2 = 2A^2 \left( 1 + \cos\left( \frac{(p_1 - p_2)x}{\hbar} \right) \right)$$ But what is this wavefunction? What is actually interfering? Standard quantum mechanics offers remarkable predictiv...