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On the Meaning of Local Symmetries: Epistemic-Ontological Dialectics

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arxiv 2404.17449 v2 pith:SK4GQ67X submitted 2024-04-26 physics.hist-ph gr-qchep-thmath.DG

classification physics.hist-phgr-qchep-thmath.DG
keywords localsymmetriesarguegaugemeaningprincipleaccessaccount
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We propose our account of the meaning of local symmetries. We argue that the general covariance principle and gauge principle both are principles of democratic epistemic access to the law of physics, leading to ontological insights about the objective nature of spacetime. We further argue that relationality is a core notion of general-relativistic gauge field theory, tacitly encoded by its (active) local symmetries.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Toward Manifest Relationality in Transformers via Symmetry Reduction

    cs.LG 2026-02 conditional novelty 6.0 of 10

    Transformer attention and parameter optimization can be rewritten on symmetry-reduced relational variables (Gram matrices and invariant parameter composites), removing coordinate redundancies by construction.

  2. Reassessing the foundations of Metric-Affine Gravity

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Applying the Dressing Field Method to Metric-Affine Gravity shows that after eliminating gauge translations, the resulting kinematics reduces to Cartan-geometric kinematics with residual GL(n) symmetry.

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