Dist Babble

The Arrow of Time in Temporal Flow Physics: How Time's Direction Emerges from Discrete Flow Dynamics By John Gavel How Temporal Flow Physics generates temporal asymmetry without assuming it The Mystery of Time's Arrow Why does time flow forward? This question has puzzled physicists and philosophers for centuries. Most fundamental physics equations are time-symmetric —they work equally well forward or backward. Yet in our everyday experience, time has a clear direction: eggs break but don’t spontaneously reassemble, entropy increases, and we remember the past but not the future. Traditional explanations often rely on statistical mechanics and the Second Law of Thermodynamics. However, these approaches can feel circular: they assume low-entropy initial conditions to explain increasing entropy, effectively smuggling in the arrow of time from the start. Temporal Flow Physics (TFP) offers a different perspective. Instead of assuming time as a background stage, TFP derives b...

Derivation: How 1/r² Forces Emerge from Discrete Phase Networks A complete mathematical derivation showing the emergence of inverse square law forces from networks of phase-coupled oscillators. I’ve been working on the Topological Flow Protocol (TFP) framework for modeling complex systems through networks of phase-coupled nodes. During this work I derived a set of mathematical conditions under which discrete phase networks produce 1/r² force laws between coherent clusters. This document contains the full derivation, a multipole expansion (“Pascal fingerprint”), and mapping to physical units. The Setup In TFP, nodes carry complex flows: \( \Psi_i = A_i \, e^{i \theta_i} \) Nodes interact through a misalignment energy: \( m_{ij} = \lvert \Psi_i - \Psi_j \rvert^2 \) The total inter-node interaction energy uses a 1/r coupling kernel: \( E \;=\; \sum_i \sum_j \Big[ \alpha(i,j)\,\frac{m_{ij}}{\lvert x_i - x_j\rvert} \Big] \) Consider two coherent clusters: Cluster A: \(N_...