Author: Tristan White • Updated: Sat Nov 15, 2025 • 11:47 AM EST
Abstract
This document presents the corrected physics foundation for the Time project.
It replaces earlier forms of "time = E/c³" with a dimensionally valid scalar
temporal potential Φ derived from energy density.
1. Definition
Φ = E / (ρ₀ c³)
Φ has units of seconds. E is local energy density; ρ₀ is a reference mass density.
2. Spatial Structure
∇Φ = (∇E) / (ρ₀ c³)
∇²Φ = (∇²E) / (ρ₀ c³)
Gradient → tilt. Laplacian → curvature.
3. Evolution (Toy PDE)
∂²Φ/∂t² = c_eff² ∇²Φ + S(x,t)
A simple wave equation for Φ with adjustable propagation speed c_eff.
4. Dimensional Checks
Φ is dimensionally consistent; replaces all use of E/c³ as "time."
Appendix
Standard Planck scales, energy-time uncertainty, and operational notes remain unchanged.