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Colinear Conservation: Noether's Theorem and the Corrective Architecture of Gravitytime

Barnes, Paul W.
PhilArchive · Papers
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philosophy
A structural account of why Noether's theorem holds. Conservation is reframed as the trace of continuous active correction, with colinear gravitytime as the structural operator: a single operator with two reciprocal faces, one differentiating and one cohering, codifferential and colinear. The cosmological constant problem is developed as a worked example, with falsifiable predictions about Λ evolution that recent DESI results render testable. Eight empirical domains are identified, including a near-term lab-scale test of the framework's phase differential prediction in rotating reference frames. Engages relational time (Barbour, Rovelli), background-independent quantum gravity, and emergent-gravity proposals (Verlinde, Jacobson). Version 2 (July 2026): rotating-frames experiment redesigned; phase differential committed as constant with sign and functional signature; environmental-dependence prediction committed to a sign; equivalence-principle passage corrected; falsification conditions tightened. Full changelog on the title page of the document.
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