Quantum Physics

   

Titus Planck Units: Derivations & Numerical Evaluations

Authors: Quinton R. D. Tharp

This paper presents an early, cycle-normalized formulation of Planck-scale structure within a deterministic lattice framework (informally referred to as the "Titus" model). In this version, the Planck energy is defined through a loop-based action condition,[E_P t_P = h,]giving[E_P = frac{h}{t_P}.]This representation is mathematically consistent but corresponds to a cycle-normalized (2pi-based) description of phase—action transport. In the modern Quantum Lattice Model (QLM), this formulation is reduced to a per-radian primitive using the relation (h = 2pi hbar), yielding the canonical identity[E_P = frac{hbar}{t_P}.]The transition from (h) to (hbar) removes the implicit (2pi) redundancy and establishes the minimal primitive set ({hbar, ell_P, t_P}), which underlies the fully developed QLM framework.Within the earlier formulation presented here, symbolic derivations, numerical evaluations, and CODATA-validated unit checks are provided for Planck-scale quantities, including electromagnetic and atomic-scale relations. These results should be interpreted as a non-minimal precursor to the reduced-action QLM canon.

Comments: 47 Pages.

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Submission history

[v1] 2025-10-13 20:32:07
[v2] 2025-10-28 20:47:43
[v3] 2026-02-25 22:00:54
[v4] 2026-04-30 03:10:05

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