A modular-charge fifth face of the Unified Equilibrium Law in Quantum Traction Theory: E_P = (ℏc/2πℓ_P) Q_P at A7 saturation
- 1Independent Researcher, Colombes, France
Abstract
Reading Planck energy as a completed modular-charge budget
Version: 3.9
Concept DOI: 10.5281/zenodo.19975260
Author: Ali Attar
Website: quantumtraction.org
boxed EP=mPc2=ℏωP =ρA(4) (4πℓA4) =(ℏ c)/2πℓAQP, QP=2π.
The paper reads mass, frequency, completed-event four-capacity, and A7-saturated modular capacity as faces of one endpoint budget. Version 3.8 makes the fourth face auditable rather than merely dimensionally recognizable:
boxed Δ VA(4)=24(π/6ℓA3)ℓA=4πℓA4, |𝒪3+|=24.
The external standard ingredients are the ball volume and the proper orientation count. The QTT-native object is the completed address-event product measure and its fourth-face role. The fifth face then uses the separately declared A7 modular saturation QP=2π; the release does not reclassify ordinary low-energy Landauer erasure as the same object.
Public anchors
Quantum Traction Theory: Main Book
Completed-Event Four-Capacity Theorem
QTT Lexicon
QTT Derivation Atlas
The release package exposes one PDF preview. Source, verification material, metadata, and a SHA-256 manifest are bundled in the reconstruction ZIP.
Related work and the distinct source construction
Conrad Ranzan's The Fundamental Process of Energy--Part I (2014), Sections 5-6, already identifies mass-energy with substrate absorption. His Dynamic Aether Theory of Gravity (2025), Sections 1.1 and 6.1, connects continuing supply with existence and explicitly describes discrete units. His 2014 text also rejects gravitons. These broad ideas are credited as related work rather than claimed as exclusive QTT distinctions.
The additional QTT structure is the declared completed-event product capacity, A7 modular normalization and common funded-operator energy/endurance construction. An induced density is not counted as a second independent value prediction. A bare substrate unit is distinguished from a completed energy-valued event. The comparison is bounded to the two examined works; it assigns no new observational significance and changes none of the inherited theorem or access-map statuses.
Primary references: Ranzan's 2014 primary reprint; Ranzan's 2025 gravity paper.
Related
- The Sixth Face of the Unified Equilibrium Law: Endurance-Rate and Rest-Energy Closure in Quantum Traction Theory
- More on Majorana fields, modular localization and near-saturation of the Tsirelson bound
- Unified Quark Mass Formula from the Casimir Cascade in R12: Boltzmann Suppression, Shannon Saturation, and the Rendered Charmonium Ceiling
- A Non-equilibrium Statistical Mechanics-Based Diffusion Theory: A Unified Model for Diffusion in Porous Media (II)
- Unified Mesoscale Framework Bridging Equilibrium Thermodynamics and Transport Properties of Ionic Liquids and Their Mixtures
BibTeX
@misc{attar2026modularcharge,
title = {{A modular-charge fifth face of the Unified Equilibrium Law in Quantum Traction Theory: E_P = (ℏc/2πℓ_P) Q_P at A7 saturation}},
author = {Ali Attar},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23543381},
url = {https://zenodo.org/records/23543381},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A modular-charge fifth face of the Unified Equilibrium Law in Quantum Traction Theory: E_P = (ℏc/2πℓ_P) Q_P at A7 saturation
AU - Ali Attar
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23543381
UR - https://zenodo.org/records/23543381
AB - Reading Planck energy as a completed modular-charge budget Version: 3.9 Concept DOI: 10.5281/zenodo.19975260 Author: Ali Attar Website: quantumtraction.org boxed E_P=m_Pc^2=ℏω_P =ρ_A^(4) (4πℓ_A^4) =(ℏ c)/2πℓ_AQ_P, Q_P=2π. The paper reads mass, frequency, completed-event four-capacity, and A7-saturated modular capacity as faces of one endpoint budget. Version 3.8 makes the fourth face auditable rather than merely dimensionally recognizable: boxed Δ V_A^(4)=24(π/6ℓ_A^3)ℓ_A=4πℓ_A^4, |𝒪_3^+|=24. The external standard ingredients are the ball volume and the proper orientation count. The QTT-native object is the completed address-event product measure and its fourth-face role. The fifth face then uses the separately declared A7 modular saturation Q_P=2π; the release does not reclassify ordinary low-energy Landauer erasure as the same object. Public anchors Quantum Traction Theory: Main Book Completed-Event Four-Capacity Theorem QTT Lexicon QTT Derivation Atlas The release package exposes one PDF preview. Source, verification material, metadata, and a SHA-256 manifest are bundled in the reconstruction ZIP. Related work and the distinct source construction Conrad Ranzan's The Fundamental Process of Energy--Part I (2014), Sections 5-6, already identifies mass-energy with substrate absorption. His Dynamic Aether Theory of Gravity (2025), Sections 1.1 and 6.1, connects continuing supply with existence and explicitly describes discrete units. His 2014 text also rejects gravitons. These broad ideas are credited as related work rather than claimed as exclusive QTT distinctions. The additional QTT structure is the declared completed-event product capacity, A7 modular normalization and common funded-operator energy/endurance construction. An induced density is not counted as a second independent value prediction. A bare substrate unit is distinguished from a completed energy-valued event. The comparison is bounded to the two examined works; it assigns no new observational significance and changes none of the inherited theorem or access-map statuses. Primary references: Ranzan's 2014 primary reprint; Ranzan's 2025 gravity paper.
ER -