Chameleon-Graviton-Condensate Cosmology:A Cosmic Energy Rain (English Version)

We present Chameleon-Graviton-Condensate Cosmology (CGCC), a novel theoretical framework explaining late-time cosmic acceleration through a void-driven Bose-Einstein Condensation (BEC) of scalar graviton modes. The condensation process is dynamically triggered by a tachyonic instability ($m_{\text{eff}}^2 < 0$) arising from the trace evaluation of the modified Fierz-Pauli term. This instability drives an initial exponential growth of low-momentum modes in low-density cosmic voids. Runaway expansion is naturally bounded by a renormalizable quartic self-interaction ($\frac{\lambda}{4}\phi^4$), which stabilizes the field at a global vacuum expectation value $\phi_0 = \sqrt{\mu^2/\lambda}$ with a positive effective mass $m_{\text{eff}}^2(\phi_0) = 2\mu^2 > 0$, yielding a stable asymptotic dark energy density $V(\phi_0) = -\mu^4 / (4\lambda)$.CGCC naturally satisfies strict empirical bounds across all scales. In high-density environments, the environmental mass dependence $m_{\text{eff}}(\rho)$ and the thin-shell effect suppress fifth-force couplings, fully complying with Solar System tests (Cassini bound $\vert{}\gamma - 1\vert{} < 2.1 \times 10^{-5}$ and Eöt-Wash torsion experiments). In the early universe, the high ambient density forces thermal decoupling, ensuring BBN compatibility with $\Delta N_{\text{eff}} \ll 10^{-4}$. Furthermore, CGCC reinterprets the Hubble ($H_0$) tension as a local measurement artifact driven by void-dominated expansion dynamics rather than a breakdown of general relativity.Finally, the model yields a distinct, falsifiable signature: a sharp gradient in the tangential weak-lensing shear profile $\Delta \gamma_t(\theta)$ across void-to-filament boundaries, directly testable with upcoming data from the Euclid space telescope and the Vera C. Rubin Observatory (LSST).

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-16
DOI
https://doi.org/10.5281/zenodo.23416496
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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Chameleon-Graviton-Condensate Cosmology:A Cosmic Energy Rain (English Version)

Alexander Wankerl
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Chameleon-Graviton-Condensate Cosmology:A Cosmic Energy Rain (English Version)

Alexander Wankerl
preprint en

Abstract

We present Chameleon-Graviton-Condensate Cosmology (CGCC), a novel theoretical framework explaining late-time cosmic acceleration through a void-driven Bose-Einstein Condensation (BEC) of scalar graviton modes. The condensation process is dynamically triggered by a tachyonic instability ($m_{\text{eff}}^2 < 0$) arising from the trace evaluation of the modified Fierz-Pauli term. This instability drives an initial exponential growth of low-momentum modes in low-density cosmic voids. Runaway expansion is naturally bounded by a renormalizable quartic self-interaction ($\frac{\lambda}{4}\phi^4$), which stabilizes the field at a global vacuum expectation value $\phi_0 = \sqrt{\mu^2/\lambda}$ with a positive effective mass $m_{\text{eff}}^2(\phi_0) = 2\mu^2 > 0$, yielding a stable asymptotic dark energy density $V(\phi_0) = -\mu^4 / (4\lambda)$.CGCC naturally satisfies strict empirical bounds across all scales. In high-density environments, the environmental mass dependence $m_{\text{eff}}(\rho)$ and the thin-shell effect suppress fifth-force couplings, fully complying with Solar System tests (Cassini bound $\vert{}\gamma - 1\vert{} < 2.1 \times 10^{-5}$ and Eöt-Wash torsion experiments). In the early universe, the high ambient density forces thermal decoupling, ensuring BBN compatibility with $\Delta N_{\text{eff}} \ll 10^{-4}$. Furthermore, CGCC reinterprets the Hubble ($H_0$) tension as a local measurement artifact driven by void-dominated expansion dynamics rather than a breakdown of general relativity.Finally, the model yields a distinct, falsifiable signature: a sharp gradient in the tangential weak-lensing shear profile $\Delta \gamma_t(\theta)$ across void-to-filament boundaries, directly testable with upcoming data from the Euclid space telescope and the Vera C. Rubin Observatory (LSST).

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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