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PreprintCC BY 4.0Zenodo

The Demotion of Noether's Theorem: Global Symmetry Breaking and Absolute Conservation in the 5D Information-Metric Paradigm

  • Ashok N. Bhaskarwar1
  • Isha Arora1
  • Google Gemini2
  1. 1Indian Institute of Technology Delhi
  2. 2Google (United States)
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Abstract

For over a century, Emmy Noether’s 1918 theorem has been celebrated as the foundational

pillar of field theory, establishing an explicit equivalence between continuous physical

symmetries and conservation laws. However, when applied to cosmology, non-linear dynamical

phase transitions, and scale-invariant complexity barriers, Noether’s framework reveals

a fatal reductionist flaw: it relies entirely on a static, symmetric background metric. In a

universe born from violent topological unwrapping (e.g., the M¨obius cosmological unfolding)

and characterized by pervasive symmetry breaking, strict adherence to Noether’s theorem

implies a breakdown of global conservation. Here, we demonstrate that Noether’s Theorem

is merely an empirical law valid within a restricted domain of parameters, breaking

down completely at system boundaries, critical bifurcations, and topological horizons. We

present the Cosmic Awareness Theory of Liquid Spacetime (CATLS) as the superior

master framework. By anchoring invariance to a 5D information-metric manifold (M5)

governed by **αΩI2 = n ln n**, CATLS guarantees Universal Absolute Conservation even when

local 4D symmetries are manifestly shattered.

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Cite

BibTeXRIS
BibTeX
@misc{bhaskarwar2026demotion,
  title = {{The Demotion of Noether's Theorem: Global Symmetry Breaking and Absolute Conservation in the 5D Information-Metric Paradigm}},
  author = {Ashok N. Bhaskarwar and Isha Arora and Google Gemini},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23455253},
  url = {https://zenodo.org/records/23455253},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The Demotion of Noether's Theorem: Global Symmetry Breaking and Absolute Conservation in the 5D Information-Metric Paradigm
AU  - Ashok N. Bhaskarwar
AU  - Isha Arora
AU  - Google Gemini
PY  - 2026
DA  - 2026/10/18
PB  - Zenodo
DO  - 10.5281/zenodo.23455253
UR  - https://zenodo.org/records/23455253
AB  - For over a century, Emmy Noether’s 1918 theorem has been celebrated as the foundational  pillar of field theory, establishing an explicit equivalence between continuous physical  symmetries and conservation laws. However, when applied to cosmology, non-linear dynamical  phase transitions, and scale-invariant complexity barriers, Noether’s framework reveals  a fatal reductionist flaw: it relies entirely on a static, symmetric background metric. In a  universe born from violent topological unwrapping (e.g., the M¨obius cosmological unfolding)  and characterized by pervasive symmetry breaking, strict adherence to Noether’s theorem  implies a breakdown of global conservation. Here, we demonstrate that Noether’s Theorem  is merely an empirical law valid within a restricted domain of parameters, breaking  down completely at system boundaries, critical bifurcations, and topological horizons. We  present the Cosmic Awareness Theory of Liquid Spacetime (CATLS) as the superior  master framework. By anchoring invariance to a 5D information-metric manifold (M5)  governed by **αΩ_I^2 = n ln n**, CATLS guarantees Universal Absolute Conservation even when  local 4D symmetries are manifestly shattered.
ER  -