Emergence of Spacetime and Gravitation from Consistency Dynamics of a Pre-Geometric Field

We develop a pre-geometric framework in which relativistic spacetime emerges as the coherent, coarse-grained regime of a single underlying field F(x,τ). In this approach, locality, metric structure, and inertial motion are not assumed a priori but arise from the internal dynamics of F. A central role is played by a Consistency Criterion that balances environmental fluctuations against the intrinsic binding response of the field. When this criterion is satisfied, small perturbations propagate with a uniform effective speed c_eff, and the resulting dynamics become indistinguishable from those of Minkowski spacetime. Lorentz symmetry thus appears as an emergent symmetry of the high-coherence phase of the field. In this setting, the parameter τ functions as an intrinsic evolution coordinate rather than a primitive notion of time. In coherent domains, the monotonic flow of τ induces an emergent causal structure that reduces to the Minkowski metric as a stable phenomenological limit. Spatial variations in the coherence of F_env naturally deform this structure, generating controlled departures from Lorentz invariance without requiring ad hoc modifications of fundamental principles. This framework recovers all experimentally tested predictions of special relativity while embedding them in a more general dynamical theory. It offers a unified perspective in which spacetime geometry, causal structure, and relativistic propagation arise not as fundamental primitives but as phase-dependent features of the underlying field dynamics.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-01-07
DOI
https://doi.org/10.5281/zenodo.18215496
Primary Topic
Quantum Electrodynamics and Casimir Effect
Type
article
Field-Weighted Citation Impact
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article

Emergence of Spacetime and Gravitation from Consistency Dynamics of a Pre-Geometric Field

Naelle S`Air, Lana Sabirova
Zenodo (CERN European Organization for Nuclear Research)
Quantum Electrodynamics and Casimir Effect
article

Emergence of Spacetime and Gravitation from Consistency Dynamics of a Pre-Geometric Field

Naelle S`Air, Lana Sabirova
article en

Abstract

We develop a pre-geometric framework in which relativistic spacetime emerges as the coherent, coarse-grained regime of a single underlying field F(x,τ). In this approach, locality, metric structure, and inertial motion are not assumed a priori but arise from the internal dynamics of F. A central role is played by a Consistency Criterion that balances environmental fluctuations against the intrinsic binding response of the field. When this criterion is satisfied, small perturbations propagate with a uniform effective speed c_eff, and the resulting dynamics become indistinguishable from those of Minkowski spacetime. Lorentz symmetry thus appears as an emergent symmetry of the high-coherence phase of the field. In this setting, the parameter τ functions as an intrinsic evolution coordinate rather than a primitive notion of time. In coherent domains, the monotonic flow of τ induces an emergent causal structure that reduces to the Minkowski metric as a stable phenomenological limit. Spatial variations in the coherence of F_env naturally deform this structure, generating controlled departures from Lorentz invariance without requiring ad hoc modifications of fundamental principles. This framework recovers all experimentally tested predictions of special relativity while embedding them in a more general dynamical theory. It offers a unified perspective in which spacetime geometry, causal structure, and relativistic propagation arise not as fundamental primitives but as phase-dependent features of the underlying field dynamics.

Zenodo (CERN European Organization for Nuclear Research)
Analytical Services (US), Analytical Engineering (United States) (US)
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Openalex Percentile: Top 88%
Quantum Electrodynamics and Casimir Effect
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