RSEM: A Resonance-Oriented K-essence Framework for Unified Cosmology

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Main Author: Byers, Erin
Format: Recurso digital
Language:English
Published: Zenodo 2026
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author Byers, Erin
author_facet Byers, Erin
contents <p class="isSelectedEnd">We present the Resonance Space-Time Expansion Model (RSEM), a resonance-oriented covariant scalar-field framework formulated within the broader class of regulated K-essence/P(X) cosmologies. Conceptually inspired in part by resonance-based interpretations found in Hermetic and philosophical traditions, the model explores whether a single scalar-field description can account for both cosmological and weak-field gravitational phenomena within a unified covariant framework.</p> <p class="isSelectedEnd">The model is intended to replace the dark sector with a single resonance field that interpolates between a dust-like clustering regime at early times and a late-time accelerating phase.</p> <p class="isSelectedEnd">In the weak-field limit, RSEM yields a modified Poisson equation that reproduces flat galactic rotation curves and the baryonic Tully-Fisher relation, while reducing to Newtonian and General Relativistic behaviour in the high-acceleration regime. Within the cosmological background, the model admits a unified description in which the same field can behave approximately as pressureless matter at recombination and as a dark-energy-like component at late times.</p> <p class="isSelectedEnd">RSEM further proposes an internal link between the galactic acceleration scale a⋆ and the Hubble scale H₀, providing a model-based explanation for their observed proximity. The proposed distinctiveness of the framework arises primarily through its resonance-oriented interpretation, unified cosmological role, and weak-field phenomenology within a single covariant scalar-field description.</p> <p>We derive the covariant field equations, state the stability and consistency conditions for the intended branch, and outline observational consequences relevant to structure growth, lensing, and late-time expansion. Several phenomenological consequences, including the detailed matter power spectrum, cluster-merger lensing morphology, and precision confrontation with cosmological datasets, remain to be established through dedicated numerical implementation.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19651082
institution Zenodo
language eng
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle RSEM: A Resonance-Oriented K-essence Framework for Unified Cosmology
Byers, Erin
Cosmology
Modified gravity
Dark matter
Dark energy
scalar field theory
k-essence
MOND
Galaxy rotation curves
baryonic Tully-Fisher relation
<p class="isSelectedEnd">We present the Resonance Space-Time Expansion Model (RSEM), a resonance-oriented covariant scalar-field framework formulated within the broader class of regulated K-essence/P(X) cosmologies. Conceptually inspired in part by resonance-based interpretations found in Hermetic and philosophical traditions, the model explores whether a single scalar-field description can account for both cosmological and weak-field gravitational phenomena within a unified covariant framework.</p> <p class="isSelectedEnd">The model is intended to replace the dark sector with a single resonance field that interpolates between a dust-like clustering regime at early times and a late-time accelerating phase.</p> <p class="isSelectedEnd">In the weak-field limit, RSEM yields a modified Poisson equation that reproduces flat galactic rotation curves and the baryonic Tully-Fisher relation, while reducing to Newtonian and General Relativistic behaviour in the high-acceleration regime. Within the cosmological background, the model admits a unified description in which the same field can behave approximately as pressureless matter at recombination and as a dark-energy-like component at late times.</p> <p class="isSelectedEnd">RSEM further proposes an internal link between the galactic acceleration scale a⋆ and the Hubble scale H₀, providing a model-based explanation for their observed proximity. The proposed distinctiveness of the framework arises primarily through its resonance-oriented interpretation, unified cosmological role, and weak-field phenomenology within a single covariant scalar-field description.</p> <p>We derive the covariant field equations, state the stability and consistency conditions for the intended branch, and outline observational consequences relevant to structure growth, lensing, and late-time expansion. Several phenomenological consequences, including the detailed matter power spectrum, cluster-merger lensing morphology, and precision confrontation with cosmological datasets, remain to be established through dedicated numerical implementation.</p>
title RSEM: A Resonance-Oriented K-essence Framework for Unified Cosmology
topic Cosmology
Modified gravity
Dark matter
Dark energy
scalar field theory
k-essence
MOND
Galaxy rotation curves
baryonic Tully-Fisher relation
url https://doi.org/10.5281/zenodo.19651082