Gravitation and Electromagnetism as Geometric Responses Induced by an Informational Distance

Mori, Tsutomu

doi:10.51094/jxiv.2943

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Mori, Tsutomu Department of Human Lifesciences, Fukushima Medical University School of Nursing https://www.fmu.ac.jp/kenkyu/html/223_ja.html

DOI:

https://doi.org/10.51094/jxiv.2943

キーワード:

informational distance、 distance-first formulation、 emergent geometry、 gravitation、 electromagnetism、 gauge redundancy、 effective field theory

抄録

We develop a distance-first formulation in which an informational distance D_info induces the geometric structures used to represent fundamental interactions. Restricting to the classical regime, we argue that gravitation and electromagnetism can be represented as distinct responses of a single informational substrate: gravity as a deformation of the effective metric (and its associated geodesic kinematics), and electromagnetism as an Abelian gauge redundancy generated by phase-equivalence, represented by a U(1) connection. The resulting field identities and equations are structurally isomorphic to covariant Maxwell electrodynamics and, in the low-curvature domain, align with the vacuum field identities and local curvature response of general relativity. Sources and overall couplings enter conservatively as phenomenological inputs constrained by the corresponding conservation laws. The construction can be formulated in general dimension; the physical identification is made in d=4. Quantization and non-Abelian extensions, including QED and electroweak structure, are interpreted as representation-space upgrades of the same underlying geometry and are deferred to companion work.

利益相反に関する開示

The author declares no potential conflict of interests.

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