What question did this study set out to answer?

This research aims to establish a specific holographic duality within the Concentric Orbital Cosmological Model (COCM), exploring inter-ring dynamics.

May 12, 2026Open Access

Holographic Duality in the Concentric Orbital Cosmological Model: A Nested CFT Hierarchy in de Sitter Space and Non-Perturbative Hermiticity of the Inter-Ring Coupling Operator

Key Points

This research aims to establish a specific holographic duality within the Concentric Orbital Cosmological Model (COCM), exploring inter-ring dynamics.
Developed a nested CFT hierarchy specific to the COCM.
Derived central charge differences using the Brown-Henneaux formula in de Sitter space.
Identified transfer modes from prior research as fusion channels.
The central charge formula reveals dark energy gradients between adjacent CFTs.
Demonstrated non-perturbative hermiticity of the boundary operator across the specified range.
Predicted that CFT spectral fingerprints can be detected in jet spectra by the ATHENA instrument.

Abstract

Paper 5 of the COCM programme. Resolves Conditional Bridge 1 of Paper 4 by developing a holographic duality specific to the COCM — the nested CFT hierarchy. Theorem A derives the central charge cₙ = c₀·rhoLambda (0) /rhoLambda (n) ^ (1/2) from the Brown-Henneaux formula in de Sitter, identifying the inter-ring dark energy gradient as a central charge difference between adjacent CFTs. Theorem B derives non-perturbative hermiticity of Oboundary for all eta in 0, 1 from CFT unitarity. The three transfer modes of Paper 3 are identified as fusion channels. Prediction XI: CFT spectral fingerprint in jet spectra detectable by ATHENA. Companion to DOI: 10. 5281/zenodo. 19950582, 10. 5281/zenodo. 19991607, 10. 5281/zenodo. 20090596, 10. 5281/zenodo. 20096465, 10. 5281/zenodo. 20104113. Version 2. 0 adds reference to companion Paper 6: Vázquez González (2026g), COCM Compatibility with Planck PR4 and CMB Spectral Corrections. DOI: 10. 5281/zenodo. 20111260.

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José Luis Vázquez González

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Holographic Duality in the Concentric Orbital Cosmological Model: A Nested CFT Hierarchy in de Sitter Space and Non-Perturbative Hermiticity of the Inter-Ring Coupling Operator

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