Colinear Conservation: Noether's Theorem and the Corrective Architecture of Gravitytime
Abstract
Noether's theorem establishes that every continuous symmetry of a physical system's action corresponds to a conserved quantity. The result is treated as a powerful technical tool but rarely as a structural fact requiring explanation. This paper proposes a structural account: conservation is not passive preservation but the trace of continuous active correction, and the operator performing the correction is colinear gravitytime, a single operator with two reciprocal faces, one differentiating and one cohering, acting on the same axis at the same emergence. Symmetry, on this account, is the empirical signature of corrective coherence-maintenance. The paper develops the cosmological constant problem as a worked example, situating the proposal against anthropic, quintessence, sequestering, modified-gravity, and causal-set approaches, and making falsifiable predictions about Λ evolution and structure-formation correlation that recent DESI results render testable. Eight additional empirical domains are identified where the proposal would make contact with measurement, including a near-term lab-scale test of the framework's phase differential prediction in rotating reference frames. The paper engages relational accounts of time (Barbour, Rovelli); background-independent quantum gravity (loop quantum gravity, causal set theory); emergent-gravity proposals (Verlinde, Jacobson); and the philosophy-of-symmetry literature (Brading, Castellani, Healey, Earman). Articulated within Unified Axioconscious Field Theory but standing on its own structural merits.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.
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Quantum Mechanics and Applications
Algebraic and Geometric Analysis
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 1 May 2026
- Language
- EN
- Document type
- Preprint