Noether's theorem attributes the origin of conservation laws to continuous spacetime symmetry and serves as one of the cornerstones of modern theoretical physics. Nevertheless, it fails to explain the physical origin of spacetime symmetry itself. Based on the axiomatic system of Time Field Theory (TFT), this paper strictly derives the meta-conservation law () =0. It verifies that energy conservation, momentum conservation and angular momentum conservation can be interpreted as geometric projections of this fundamental law along different spacetime dimensions. This study demonstrates that symmetry is not the cause of conservation laws, but an apparent property emerging when the time field evolves into uniform and steady state under conservation constraints. Conservation reflects the underlying logic of self-calibration of measurement benchmarks, while symmetry acts as the external manifestation of a stable measurement system. This paper redefines Noether's theorem as a corollary deduced from fundamental physical principles, and TFT provides a self-consistent physical interpretation for the long-standing puzzle of symmetry origin. All derivations comply strictly with established axioms of Time Field Theory without extra hypothetical assumptions.
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Huowang Huang
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Huowang Huang (Fri,) studied this question.
www.synapsesocial.com/papers/6a1296d548a0ea1665673f5b — DOI: https://doi.org/10.5281/zenodo.20342641
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