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...

  Temporal Flow Theory: A First-Principles Approach to Emergent Spacetime Introduction I've been developing a theoretical framework that explores how spacetime and physical laws might emerge from simple, discrete flow dynamics at the fundamental level. This approach attempts to bridge quantum mechanics and general relativity by proposing that both are emergent phenomena from a more fundamental substrate. In this post, I'll present the core mathematical formalism and implications of what I call "Temporal Flow Theory." (TFT) First Principles Let's start with the absolute minimal ingredients: Discrete Flow States : At the most fundamental level, there exist discrete points indexed by integers $i$, each with a "flow direction" $s_i \in {-1, +1}$ Local Interaction Rule : Flow directions interact through a local majority rule involving triplets $(s_{i-1}, s_i, s_{i+1})$ Sequential Updating : The system evolves through primitive sequential updates No ...

 # Temporal Flow Theory: A First-Principles Approach to Emergent Spacetime ## Introduction I've been developing a theoretical framework that explores how spacetime and physical laws might emerge from simple, discrete flow dynamics at the fundamental level. This approach attempts to bridge quantum mechanics and general relativity by proposing that both are emergent phenomena from a more fundamental substrate. In this post, I'll present the core mathematical formalism and implications of what I call "Temporal Flow Theory." TFT ## First Principles Let's start with the absolute minimal ingredients: 1. **Discrete Flow States**: At the most fundamental level, there exist discrete points indexed by integers $i$, each with a "flow direction" $s_i \in \{-1, +1\}$ 2. **Local Interaction Rule**: Flow directions interact through a local majority rule involving triplets $(s_{i-1}, s_i, s_{i+1})$ 3. **Sequential Updating**: The system evolves through primitive sequent...

Temporal Flow Physics and the Myth of Fundamental Indeterminism In contemporary physics, indeterminism often appears baked into the structure of quantum mechanics. Yet the Temporal Flow Physics (TFP) framework offers a radically different perspective: indeterminacy is not fundamental—it emerges statistically from the vast configuration space of interacting quantized 1D temporal flows. This blog explores how TFP reconciles deterministic local dynamics with statistical entropy, decoherence, and even Prigogine’s notion of dissipative structures, showing that what appears probabilistic is the result of segmental flow misalignment, not fundamental randomness. 1. From Many Flows to Entropy In TFP, the fundamental object is a 1D quantized temporal flow F i ( t ) F_i(t) . Each flow represents a causal chain of temporal events. Space, and therefore locality, emerges from comparisons between these flows. Let us denote a system of N N flows as: { F i ( t ) } i = 1 N \{F_i(t)\}_{i=1}^N Lo...

Temporal Flow Physics:  Numerical Validations and Physical Insights How treating time as fundamental could unify black holes, quantum entanglement, and the cosmos itself Introduction: Time as the Building Block of Reality Imagine if time—not space—were the true foundation of the universe. Temporal Flow Physics (TFP) proposes just that: a world where  quantized fragments of time interact to generate space, matter, and gravity . In this framework, everything from black holes to quantum entanglement emerges from the dynamics of these primordial temporal flows. But does this bold idea hold up to scrutiny? Let’s examine the numbers. 1. Black Holes: Where Time Flows Collapse The Standard View Black hole entropy, as described by Bekenstein and Hawking: S BH = A 4 G ℏ ≈ 1.45 × 10 54   J/K ( for a solar-mass black hole ) S BH ​ = 4 G ℏ A ​ ≈ 1.45 × 1 0 54 J/K ( for a solar-mass black hole ) where  A A  is the horizon area. TFP’s Revelat...