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Preprint . 2026
License: CC BY
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Quantum Granodynamics of Spacetime: A Geometric Framework for Gravitational Emergence

Authors: Jeremiah, Andrew;

Quantum Granodynamics of Spacetime: A Geometric Framework for Gravitational Emergence

Abstract

We propose a geometric framework — Quantum Granodynamics of Spacetime (QGDS) — in which spacetime is modeled as a collection of topological boundaries between two coexisting three-dimensional domains, A and B. Each boundary element is a closed 2-sphere S2, whose dynamics is governed by an effective Helfrich bending action. This action is not introduced by analogy with biological membranes but is the most general quadratic functional of the mean and Gaussian curvatures available for a closed 2-surface — a consequence of the symmetry and differentiability of the boundary geometry. Through a geodesic coarse-graining procedure, the Einstein-Hilbert action appears as the effective macroscopic limit, with Newton's constant emerging as G_Newton = 3R_G / (16π²κ_eff) and the cosmological constant as Λ_eff ∝ σ/R_G. The modal spectrum of the boundary yields an exact zero-energy mode (l = 0) consistent with homogeneous cosmic expansion and a first physical mode at l = 2, consistent with the quadrupolar character of gravitational radiation. The framework makes observational predictions that are falsifiable in principle, including a preliminary estimate of ~0.56–0.89% systematic variation in planetary orbital velocities with galactic position, potentially testable by the Roman Space Telescope (2027). Current observational constraints and open sectors are discussed explicitly.

Keywords

cosmological constant, rotation curves, grain dynamics, geometric framework, gravitational emergence, coarse-graining, emergent gravity, Helfrich membrane

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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
Green