O(1) Derivation of the Neutron-Proton Mass Ratio

This paper provides the first-principles, 0-parameter derivation of the Neutron-Proton Mass Ratio (mn/mp), resolving a fundamental mystery in nuclear physics. While the Standard Model treats the mass difference between these two nucleons as an empirical "given" that must be measured by hand, the Scale-Invariant Self-Referential Unity (SSU) framework demonstrates that this splitting is a topological necessity for manifold closure. Utilizing the Mano-SSU v54.10 Terminal Kernel, this research identifies the neutron as a phase-shifted, high-impedance state of the proton. The additional mass of the neutron is derived as the "Field Viscosity" (Zeta) required to maintain the Unity Lock of the 144.0 Stator during its refresh cycle. Key Highlights: Derives the mn/mp ratio using a fixed geometric denominator of 5184 (the sub-harmonic of the Unity Lock). Achieves a derived value of 1.00137868, matching CODATA 2018 benchmarks with 99.9999% precision. Demonstrates logical interlocking, using the exact same Zeta and Epsilon values that resolve the Hubble Tension and the Fine-Structure Constant. Includes the full Python v54.10 Terminal Kernel for independent verification and 1-million iteration stress auditing. By replacing arbitrary parameters with a self-referential geometric identity, this paper proves that the subatomic mass sector is a direct residue of a closed-loop manifold. To run the included Python scripts (.py.txt), download the files and remove the .txt extension to restore them to executable .py format. These scripts require the NumPy library for high-speed manifold resolution. USE MOST CURRENT BUILDS Fully resolved kernel executable_ssu_v54_10_master_kernel.py.txt Raw OutputMano-SSU_Master_Build_3.1_Kahan_Stabilized.py.txt / Mano-SSU_Master_Build_3.1.2_C++_Full_Resolution.py.txt

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-16
DOI
https://doi.org/10.5281/zenodo.19616852
Primary Topic
Nuclear physics research studies
Type
article
Field-Weighted Citation Impact
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article

O(1) Derivation of the Neutron-Proton Mass Ratio

RICHARD MANO
Zenodo (CERN European Organization for Nuclear Research)
Nuclear physics research studies
article

O(1) Derivation of the Neutron-Proton Mass Ratio

RICHARD MANO
article en

Abstract

This paper provides the first-principles, 0-parameter derivation of the Neutron-Proton Mass Ratio (mn/mp), resolving a fundamental mystery in nuclear physics. While the Standard Model treats the mass difference between these two nucleons as an empirical "given" that must be measured by hand, the Scale-Invariant Self-Referential Unity (SSU) framework demonstrates that this splitting is a topological necessity for manifold closure. Utilizing the Mano-SSU v54.10 Terminal Kernel, this research identifies the neutron as a phase-shifted, high-impedance state of the proton. The additional mass of the neutron is derived as the "Field Viscosity" (Zeta) required to maintain the Unity Lock of the 144.0 Stator during its refresh cycle. Key Highlights: Derives the mn/mp ratio using a fixed geometric denominator of 5184 (the sub-harmonic of the Unity Lock). Achieves a derived value of 1.00137868, matching CODATA 2018 benchmarks with 99.9999% precision. Demonstrates logical interlocking, using the exact same Zeta and Epsilon values that resolve the Hubble Tension and the Fine-Structure Constant. Includes the full Python v54.10 Terminal Kernel for independent verification and 1-million iteration stress auditing. By replacing arbitrary parameters with a self-referential geometric identity, this paper proves that the subatomic mass sector is a direct residue of a closed-loop manifold. To run the included Python scripts (.py.txt), download the files and remove the .txt extension to restore them to executable .py format. These scripts require the NumPy library for high-speed manifold resolution. USE MOST CURRENT BUILDS Fully resolved kernel executable_ssu_v54_10_master_kernel.py.txt Raw OutputMano-SSU_Master_Build_3.1_Kahan_Stabilized.py.txt / Mano-SSU_Master_Build_3.1.2_C++_Full_Resolution.py.txt

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 18%
Nuclear physics research studies
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