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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Hierarchical Self-Referential Reconstruction Cosmology H: Categorical Foundations of a Unified Formulation of Quantum Gravity

Authors: zhou, changzheng; zhou, ziqing;

Hierarchical Self-Referential Reconstruction Cosmology H: Categorical Foundations of a Unified Formulation of Quantum Gravity

Abstract

This paper proposes and develops a unified framework for quantum gravitybased on information-theoretic primitives—the Hierarchical Emergent Framework(HSF). Grounded in the fundamental operational principles of “information distinguishability” and “finite-step describability,” this framework constructs a stratifiedmathematical category (the HSF category) through the dynamics of “self-referentialreconstruction.” We rigorously demonstrate that three prominent research programs in contemporary quantum gravity—the “It from Qubit” paradigm basedon quantum entanglement, causal set theory based on discrete causal orders, andthe ER=EPR conjecture asserting the duality of geometry and entanglement—caneach be formulated as specific representations of the HSF category under particular constraints. Furthermore, by constructing three category equivalence functors,we establish their mathematical isomorphism. This isomorphism stems from theirshared underlying logic based on information and self-reference. As direct corollaries of the unified framework, we derive a series of precise and testable cosmologicalpredictions, including characteristic values for CMB non-Gaussianity, distortionsin the primordial gravitational wave spectrum, a quantitative explanation for theHubble constant tension, and a slight evolution of the dark energy equation ofstate. This work provides a principled, mathematically rigorous unified foundationfor reconciling the diverse paths in quantum gravity research.

Keywords

Quantum gravity; Emergent spacetime; Category theory; Quantum in formation; Causal sets; Holographic principle; Cosmological predictions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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