Dist Babble

  The Arrow of Time in Temporal Physics In my temporal physics framework, the arrow of time is not a fundamental property encoded in spacetime. Instead, it is an emergent phenomenon resulting from the causal propagation of information and the accumulation of discrete state transitions. In this post, we explore how the arrow of time arises from our model, emphasizing its mathematical underpinnings. 1. Temporal Segmentation At the Planck scale, time is fundamentally discrete . We assume that time is segmented into intervals of Planck time t p t_p ​ , such that: t p = ℏ G c 5 . t_p = \sqrt{\frac{\hbar G}{c^5}}. Each interval t p t_p ​ represents a basic "step" in the evolution of the system, where information propagates causally between adjacent nodes in our spacetime graph G = ( V , E ) G = (V, E) . For a given discrete time step t n t_n ​ , the state of the system is described by a state vector ψ ( t n ) \psi(t_n)  that evolves via a unitary operator U ( t p ) U(t_p) : ...

  Planck Energy and Boltzmann Constant Lets look at a version of the mathematics connecting Planck energy, Boltzmann constant, and Planck temperature: Planck Energy and Boltzmann Constant - Proof We start by properly defining the relationship between energy and temperature using the Boltzmann constant kB : E = kBT For the Planck energy, the correct definition is: Ep = √(ħc^5/G) Where: ħ is the reduced Planck constant (h/2π) c is the speed of light in vacuum G is the gravitational constant The Planck temperature is defined as: Tp = Ep/kB Using the numerical values: Ep ≈ 1.96×10^9 J kB ≈ 1.38×10^-23 J/K Therefore: Tp = Ep/kB = 1.96×10^9 / 1.38×10^-23 ≈ 1.42×10^32 K Step 2: Examining the Time-Temperature Connection In quantum mechanics, the energy-time uncertainty principle states: ΔE·Δt ≥ ħ/2 This doesn't mean E = h/τ in general cases, but for quantum fluctuations at the Planck scale, we can estimate an energy associated with the Planck time (tp): The Planck time is defined a...