Λ-EG Emergent Gravitational Coherence and Galactic Dynamics Without Particle Dark Matter

Q: What does this research mean for the field?

The critical acceleration scale in galactic dynamics can be derived without particle dark matter through a de Sitter partition function that incorporates a coherent-sector phase-space measure and a spectral gap. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.CHALLENGES_CONSENSUS.

J. Pablo Figueroa

doi:10.5281/zenodo.22166062

August 29, 2026Open Access

Λ-EG Emergent Gravitational Coherence and Galactic Dynamics Without Particle Dark Matter

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Key Points

To formulate a unified de Sitter framework that derives the galactic critical acceleration scale from emergent gravitational coherence without invoking particle dark matter.
Constructed a single de Sitter partition function incorporating a two-torus coherent-sector phase-space measure and an S3 spectral gap.
Formulated the fluctuation determinant using a minimally coupled real scalar operator with an effective mass scale set by dimensional-channel invariants.
Conducted heat-kernel and determinant-statistics consistency checks to distinguish primary scalar dynamics from the secondary Dirac–Lichnerowicz geometric relation.
Derived the critical acceleration scale analytically as proportional to the inverse product of the phase-space measure and the spectral gap, yielding a factor of 1/(4π²√3).
Demonstrated that the effective scalar mass originates from dimensional invariants rather than curvature-induced Dirac masses, preserving a bosonic fluctuation determinant exponent of -1/2.

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Implication

Theoretical analysis demonstrates emergent gravitational coherence without particle dark matter, indicating a geometric origin for galactic critical acceleration scales.

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J. Pablo Figueroa (2026) studied this question.

synapsesocial.com/papers/6a93f1266c1a8fb52e79df23 https://doi.org/10.5281/zenodo.22166062

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Λ-EG Emergent Gravitational Coherence and Galactic Dynamics Without Particle Dark Matter

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Λ-EG Emergent Gravitational Coherence and Galactic Dynamics Without Particle Dark Matter

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