Category:
Research Papers
Sub-Category:
Quantum Theory / Particle Physics
Date Published:
May 7, 2026
Keywords:
Dimensional analysis, rest mass, physical units
Abstract:
This work investigates whether a common numerical structure is recoverable across standard systems used to express rest mass and mass-energy. A hybrid SI and Gaussian framework is constructed in which proton, neutron, and electron mass-energies appear as dimensionless magnitudes. The construction is motivated by the dimensional asymmetry between the electric and magnetic sectors in SI units, together with the dimensional balance present in Gaussian electrodynamics where (mathbf{E}/mathbf{B}=1).
To examine whether this hybrid framework represents a more general numerical scale, an example normalisation mapping, (mathcal{S}(x)), is introduced. For a given input, the mapping takes a particle rest-mass expressed in units including kilograms, joules, atomic units, electron-volts, and naturalised mass ratios. Regardless of the chosen input units, the numerical output remains invariant and aligned to a corresponding hybrid magnitude. From the evidence of this particular mapping, particle rest masses expressed in different unit systems may be compared against a general numerical structure represented by the hybrid system.
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