Dimensional Balancing

Dimensional balancing is a proposed extension to dimensional analysis in which dimensional consistency is maintained not only across equations but also through explicitly defined exponent profiles for fundamental and derived physical quantities. This framework assigns a three-dimensional exponent to mass, allowing novel insights into field interactions and relative force strengths, especially between gravity and electromagnetism. This method may provide a foundation for bridging quantum and relativistic regimes or aid in analyzing cosmological phenomena. This paper introduces the core definitions, applies them to various fields and constants, and outlines implications for unification.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-04-12
DOI
https://doi.org/10.5281/zenodo.15204120
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
0.00
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article

Dimensional Balancing

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

Dimensional Balancing

article en

Abstract

Dimensional balancing is a proposed extension to dimensional analysis in which dimensional consistency is maintained not only across equations but also through explicitly defined exponent profiles for fundamental and derived physical quantities. This framework assigns a three-dimensional exponent to mass, allowing novel insights into field interactions and relative force strengths, especially between gravity and electromagnetism. This method may provide a foundation for bridging quantum and relativistic regimes or aid in analyzing cosmological phenomena. This paper introduces the core definitions, applies them to various fields and constants, and outlines implications for unification.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 66%
Cosmology and Gravitation Theories
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Dimensional Balancing · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS