The Demotion of Noether's Theorem: Global Symmetry Breaking and Absolute Conservation in the 5D Information-Metric Paradigm
Year: 2026
Type: preprint
Abstract: For over a century, Emmy Noether’s 1918 theorem has been celebrated as the foundationalpillar of field theory, establishing an explicit equivalence between continuous physicalsymmetries and conservation laws. However, when applied to cosmology, non-linear dynamicalphase transitions, and scale-invariant complexity barriers, Noether’s framework revealsa fatal reductionist flaw: it relies entirely on a static, symmetric background metric. In auniverse born from violent topological unwrapping (e.g., the M¨obius cosmological unfolding)and characterized by pervasive symmetry breaking, strict adherence to Noether’s theoremimplies a breakdown of global conservation. Here, we demonstrate that Noether’s Theoremis merely an empirical law valid within a restricted domain of parameters, breakingdown completely at system boundaries, critical bifurcations, and topological horizons. Wepresent the Cosmic Awareness Theory of Liquid Spacetime (CATLS) as the superiormaster framework. By anchoring invariance to a 5D information-metric manifold (M5)governed by **$\alpha\Omega_I^2 = n \ln n$**, CATLS guarantees Universal Absolute Conservation even whenlocal 4D symmetries are manifestly shattered.
Institutions: Indian Institute of Technology Delhi, Google (United States)
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222898903
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