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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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Local Tidal Tension and Global Spatial Curvature: A Measurement-Oriented Framework for Quantum Gravity

Authors: Avina, Justin;

Local Tidal Tension and Global Spatial Curvature: A Measurement-Oriented Framework for Quantum Gravity

Abstract

This note presents a measurement-oriented clarification of gravitational observables within General Relativity. We distinguish between Local Tidal Tension (LTT), defined operationally via geodesic deviation as the relative acceleration between neighboring freely falling worldlines, and Global Spatial Curvature (GSC), describing the large-scale geometry of cosmological spatial hypersurfaces. While gravitational acceleration at a point may be locally transformed away via the equivalence principle, tidal structure cannot. Thus, the physically measurable content of gravity is fundamentally relational and finite-separation dependent. Building on this distinction, we outline a structured research trajectory toward quantum gravity grounded in curvature observables, including (i) operator-valued tidal observables, (ii) semiclassical curvature corrections via effective field theory, (iii) parameterized tidal-correlation signatures, and (iv) relational evolution of curvature observables addressing the problem of time. This work does not modify Einstein’s equations nor propose new gravitational dynamics. It is intended as a conceptual foundation for future quantum gravity investigations.

Keywords

Quantum Gravity, General Relativity, Tidal Forces, Effective Field Theory, Relational Observables, Curvature,, Geodesic Deviation, Problem of Time, Cosmology

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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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