Causal Quantum Spacetime Theory (CQST): A Framework for Emergent Geometry and Its Observational Test

The Causal Quantum Spacetime Theory (CQST) treats spacetime as emergent from a discrete causal substrate, the quantum spacetime regenerating (QSR) lattice, assembling its geometric, holographic, quantum-foundational and phenomenological strands. The framework identifies the QSR lattice with Fuller's Isotropic Vector Matrix and adopts holographic scaling together with the Bekenstein–Hawking one-quarter factor. The vacuum causal density, the squared ratio of the Planck length to the de Sitter radius fixed by Λ, is a constant of spacetime; its logarithmic relation to the fine-structure constant α is a one-parameter calibration predicting no drift. The reduced Planck constant is reinterpreted as the action of one causal tick. The empirical content lies in the photon sector: the discrete electromagnetic action on the face-centred cubic lattice is built over its twelve nearest-neighbour vectors and the propagator obtained within the Brillouin zone. The linear coefficient vanishes identically, helicity-odd birefringence is excluded by inversion, and the leading quadratic correction is subluminal in every direction, with isotropic part 1/20 in units of the squared nearest-neighbour separation, universal over centrosymmetric equal-bond graphs, and an octahedral modulation of 5/18. The quadratic sector lies far below current sensitivity but the foregoing three predictions are exact: any contrary observation rules the framework out.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-12
DOI
https://doi.org/10.5281/zenodo.22723039
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Causal Quantum Spacetime Theory (CQST): A Framework for Emergent Geometry and Its Observational Test

Franco Cotana
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Causal Quantum Spacetime Theory (CQST): A Framework for Emergent Geometry and Its Observational Test

Franco Cotana
preprint en

Abstract

The Causal Quantum Spacetime Theory (CQST) treats spacetime as emergent from a discrete causal substrate, the quantum spacetime regenerating (QSR) lattice, assembling its geometric, holographic, quantum-foundational and phenomenological strands. The framework identifies the QSR lattice with Fuller's Isotropic Vector Matrix and adopts holographic scaling together with the Bekenstein–Hawking one-quarter factor. The vacuum causal density, the squared ratio of the Planck length to the de Sitter radius fixed by Λ, is a constant of spacetime; its logarithmic relation to the fine-structure constant α is a one-parameter calibration predicting no drift. The reduced Planck constant is reinterpreted as the action of one causal tick. The empirical content lies in the photon sector: the discrete electromagnetic action on the face-centred cubic lattice is built over its twelve nearest-neighbour vectors and the propagator obtained within the Brillouin zone. The linear coefficient vanishes identically, helicity-odd birefringence is excluded by inversion, and the leading quadratic correction is subluminal in every direction, with isotropic part 1/20 in units of the squared nearest-neighbour separation, universal over centrosymmetric equal-bond graphs, and an octahedral modulation of 5/18. The quadratic sector lies far below current sensitivity but the foregoing three predictions are exact: any contrary observation rules the framework out.

Zenodo (CERN European Organization for Nuclear Research)
University of Perugia (IT), Ricerca sul Sistema Energetico (Italy) (IT)
Sustainable cities and communities
Noncommutative and Quantum Gravity Theories
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