2015/04/08 by Herman Telkamp, Telkamp, Herman
Earth and Planetary Sciences · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Earth Systems and Cosmic Evolution #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.1504.01924
openalex publication_date 2015/04/08 · openalex created_date 2022/09/05 · openalex updated_date 2026/07/28
We discuss physical interpretation of ΛCDM cosmology from a Machian model of the universe containing nothing but visible matter (ordinary matter, radiation). The Friedmann equation can be derived from a Machian definition of energy, whereby both kinetic and potential energy of a particle are related to all cosmic matter-energy within the particle's gravitational horizon. The distance to this horizon thus appears as a parameter in all forms of matter-energy density. From conservation of Machian energy it follows that all different types of matter-energy are uniformly characterized by ρ∝ 1/a, i.e., by a constant deceleration q=-1/2. This coincides with relative densities \varOmegam=1/3 and ΩΛ=2/3 of ΛCDM. Thus the Machian cosmological model matches present relative densities of ΛCDM, without invoking dark components.