Gravity as the Geometric Sector: Why Standard Quantisation Fails and How the Constraint Theorem Locks Gravity to Gauge

We present a structural position on quantum gravity within the G2 framework, and we are explicit at the outset that it is a position, not a calculable theory: we offer no scattering amplitudes and no resolution of graviton loops. The content is twofold. First, the framework's classification of sectors places gravity as the geometric sector, defined by preservation of the metric, distinct in type from the gauge sectors defined by preservation of internal forms. On this view the persistent failure of attempts to quantise gravity by gauge methods is a category error: a geometric object is being treated as though it were a gauge field. Second, the framework's constraint theorem, relating the cosmological constant, the de Sitter entropy, the unified coupling, and the dimension of the algebra in a single exact equation, locks the gravitational sector to the gauge sector. Gravity and the gauge forces are not separate theories to be unified after the fact; they co-emerge from one algebra and are related by one constraint. We set out both points, and we state plainly the boundary of the claim.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-24
DOI
https://doi.org/10.5281/zenodo.21536446
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Gravity as the Geometric Sector: Why Standard Quantisation Fails and How the Constraint Theorem Locks Gravity to Gauge

Vali Ilyas
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Gravity as the Geometric Sector: Why Standard Quantisation Fails and How the Constraint Theorem Locks Gravity to Gauge

Vali Ilyas
preprint en

Abstract

We present a structural position on quantum gravity within the G2 framework, and we are explicit at the outset that it is a position, not a calculable theory: we offer no scattering amplitudes and no resolution of graviton loops. The content is twofold. First, the framework's classification of sectors places gravity as the geometric sector, defined by preservation of the metric, distinct in type from the gauge sectors defined by preservation of internal forms. On this view the persistent failure of attempts to quantise gravity by gauge methods is a category error: a geometric object is being treated as though it were a gauge field. Second, the framework's constraint theorem, relating the cosmological constant, the de Sitter entropy, the unified coupling, and the dimension of the algebra in a single exact equation, locks the gravitational sector to the gauge sector. Gravity and the gauge forces are not separate theories to be unified after the fact; they co-emerge from one algebra and are related by one constraint. We set out both points, and we state plainly the boundary of the claim.

Zenodo (CERN European Organization for Nuclear Research)
Kamloops Art Gallery (CA)
Sustainable cities and communities
Noncommutative and Quantum Gravity Theories
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