The RAM Model - A Unified Approach to Cosmic Structure and Evolution Beyond the Standard ΛCDM Cosmology

The expansion of the universe, parametrized by the Hubble constant , is interpreted not as a kinetic effect but as a contribution to the potential energy within the classical two-body problem. This modifies the Schwarzschild radius and allows for a complete solution of the extended Kepler problem. A key finding is the necessary substitution tau=\sqrt(H^2+phi\dot^2) in the equations of motion, where tau is a temporal coordinate and phi\dot the angular coordinate. This substitution introduces a rest angular momentum for any mass m at a distance r, given by L^2=mr^2H, which persists even in the absence of rotation (phi\dot=0). While negligible for local objects like stars or galaxies, this effect becomes cosmologically significant. The associated rest angular momentum energy for the entire universe, E_RAM=5/4 MR^2H^2 , exceeds its total rest energy E_RAM/E_rest=5/4 R^2H^2/c^2 by a factor of , which is on the order of O(1)>1 for the present-day Hubble constant and universe radius R assuming a flat space. Due to the universe's isotropy, this energy cannot manifest as global rotation and must therefore be converted into other forms. By attributing all forms of cosmic energy (visible matter, dark matter, kinetic expansion, and dark energy) to this single source, the model yields specific fractions for each component. The derived fractions are expressed solely in terms of the observable quantity R^2H^2/c^2. Remarkably, the PLANCK measurements for visible matter (4,9%), dark matter (26,8%), and dark energy (68,3%) are simultaneously reproduced with high precision for a universe radius of R=(7,20+- 0,35) 10^6 kpc, where directly yields the dark-to-visible matter ratio. This refined analysis confirms the rest angular momentum energy as a compelling, unified source for the universe's mass-energy budget. Beyond the energy balance, the RAM model demonstrates further profound strengths: It provides an excellent fit to observational data from standard candles. From the second Friedmann equation, the model reveals an intrinsic inflationary mechanism that requires no additional fields or fine-tuned parameters. Furthermore, it naturally solves the classical fine-tuning problem of the cosmological constant with Lambda~1/R^2 and provides a compelling, non-divergent description of dark energy, which remains entirely finite up to the Planck scale. This work presents the RAM model as a unified, predictive, and observationally consistent framework that addresses multiple fundamental challenges in modern cosmology from a single, simple principle. Erratum: This version corrects errors found in the original version (v01_20). Corrections include: Updated abstract with the substitution tau=\sqrt(H^2+phi\dot^2) and further highlights; corrections to indices in Chapter 9; editorial changes in Chapter 10; revisions to the radiation energy subsection (Chapter 11), including removal of a speculative table; simplification of the Friedmann equations; and correction of a_SUSY due to rho~a^-4. The main conclusions remain unchanged.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-29
DOI
https://doi.org/10.5281/zenodo.18724630
Primary Topic
Cosmology and Gravitation Theories
Type
article
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article

The RAM Model - A Unified Approach to Cosmic Structure and Evolution Beyond the Standard ΛCDM Cosmology

H. Fürstenau
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

The RAM Model - A Unified Approach to Cosmic Structure and Evolution Beyond the Standard ΛCDM Cosmology

H. Fürstenau
article en

Abstract

The expansion of the universe, parametrized by the Hubble constant , is interpreted not as a kinetic effect but as a contribution to the potential energy within the classical two-body problem. This modifies the Schwarzschild radius and allows for a complete solution of the extended Kepler problem. A key finding is the necessary substitution tau=\sqrt(H^2+phi\dot^2) in the equations of motion, where tau is a temporal coordinate and phi\dot the angular coordinate. This substitution introduces a rest angular momentum for any mass m at a distance r, given by L^2=mr^2H, which persists even in the absence of rotation (phi\dot=0). While negligible for local objects like stars or galaxies, this effect becomes cosmologically significant. The associated rest angular momentum energy for the entire universe, E_RAM=5/4 MR^2H^2 , exceeds its total rest energy E_RAM/E_rest=5/4 R^2H^2/c^2 by a factor of , which is on the order of O(1)>1 for the present-day Hubble constant and universe radius R assuming a flat space. Due to the universe's isotropy, this energy cannot manifest as global rotation and must therefore be converted into other forms. By attributing all forms of cosmic energy (visible matter, dark matter, kinetic expansion, and dark energy) to this single source, the model yields specific fractions for each component. The derived fractions are expressed solely in terms of the observable quantity R^2H^2/c^2. Remarkably, the PLANCK measurements for visible matter (4,9%), dark matter (26,8%), and dark energy (68,3%) are simultaneously reproduced with high precision for a universe radius of R=(7,20+- 0,35) 10^6 kpc, where directly yields the dark-to-visible matter ratio. This refined analysis confirms the rest angular momentum energy as a compelling, unified source for the universe's mass-energy budget. Beyond the energy balance, the RAM model demonstrates further profound strengths: It provides an excellent fit to observational data from standard candles. From the second Friedmann equation, the model reveals an intrinsic inflationary mechanism that requires no additional fields or fine-tuned parameters. Furthermore, it naturally solves the classical fine-tuning problem of the cosmological constant with Lambda~1/R^2 and provides a compelling, non-divergent description of dark energy, which remains entirely finite up to the Planck scale. This work presents the RAM model as a unified, predictive, and observationally consistent framework that addresses multiple fundamental challenges in modern cosmology from a single, simple principle. Erratum: This version corrects errors found in the original version (v01_20). Corrections include: Updated abstract with the substitution tau=\sqrt(H^2+phi\dot^2) and further highlights; corrections to indices in Chapter 9; editorial changes in Chapter 10; revisions to the radiation energy subsection (Chapter 11), including removal of a speculative table; simplification of the Friedmann equations; and correction of a_SUSY due to rho~a^-4. The main conclusions remain unchanged.

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