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PreprintCC BY 4.0Closing The CMN Research Gaps: A Mathematical Consistency and Testability Programme for The Black-Hole Information paradox

Closing The CMN Research Gaps: A Mathematical Consistency and Testability Programme for The Black-Hole Information Paradox

  1. 1Independent Researcher, Rangpur-Kurigram, Bangladesh

Abstract

Description,

This manuscript, Closing the CMN Research gaps, develops a structured programme for investigating the mathematical consistency and physical testability of the Central Meta-Nucleus (CMN) Framework in relation to the black-hole information paradox.

"Principle Research Areas"

Covariant action formulation and field-equation derivation.

Stability-sector and information -sector consistency requirements.

Bianchi identities and total energy-momentum conservation.

non-singular black-hole core and curvature -regularity tests.

Geodesic completeness and horizon structure.

Comparision with established semiclassical appoaches.

Quantum unitarity, radiation entropy, and Page-curve analysis.

quantitative predictions and falsifiability criteria.

"Scientific Contribition"

The manuscript converts broad theoretical limitations into specific mathematical tasks and verification criteria . it provides an illustrative action templaete and identifies the calculations required to assess whether the CMN framework can offer a consistent account of black-hole information recovery.

"Research Status and limitations"

This document is a theoretical research programme, not a claim that all CMN research gaps have been solved. The complete action, explicite solutions, Stability proofs, and quantitative preditions remain subjects for further investigation.

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BibTeX
@misc{rashid2026closing,
  title = {{Closing The CMN Research Gaps: A Mathematical Consistency and Testability Programme for The Black-Hole Information Paradox}},
  author = {Md Harun Or Rashid},
  howpublished = {Closing The CMN Research Gaps: A Mathematical Consistency and Testability Programme for The Black-Hole Information paradox},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23561959},
  url = {https://zenodo.org/records/23561959},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Closing The CMN Research Gaps: A Mathematical Consistency and Testability Programme for The Black-Hole Information Paradox
AU  - Md Harun Or Rashid
PY  - 2026
DA  - 2026/10/22
PB  - Closing The CMN Research Gaps: A Mathematical Consistency and Testability Programme for The Black-Hole Information paradox
DO  - 10.5281/zenodo.23561959
UR  - https://zenodo.org/records/23561959
AB  - Description,  This manuscript, Closing the CMN Research gaps, develops a structured programme for investigating the mathematical consistency and physical testability of the Central Meta-Nucleus (CMN) Framework in relation to the black-hole information paradox.  "Principle Research Areas"  Covariant action formulation and field-equation derivation.  Stability-sector and information -sector consistency requirements.  Bianchi identities and total energy-momentum conservation.  non-singular black-hole core and curvature -regularity tests.  Geodesic completeness and horizon structure.  Comparision with established semiclassical appoaches.  Quantum unitarity, radiation entropy, and Page-curve analysis.  quantitative predictions and falsifiability criteria.  "Scientific Contribition"  The manuscript converts broad theoretical limitations into specific mathematical tasks and verification criteria . it provides an illustrative action templaete and identifies the calculations required to assess whether the CMN framework can offer a consistent account of black-hole information recovery.  "Research Status and limitations"  This document is a theoretical research programme, not a claim that all CMN research gaps have been solved. The complete action, explicite solutions, Stability proofs, and quantitative preditions remain subjects for further investigation.
ER  -