2008/01/28 by José B. Almeida, Jose B. Almeida, Almeida, Jose B.
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.0801.4089
15 pages. Oral presentation at Astroparticle Montpelier Toulouse 2007
arxiv created 2008/01/28 · openalex publication_date 2008/01/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper uses geometrical arguments to derive equations with relevance for cosmology; 5-dimensional spacetime is assumed because it has been shown in other works to provide a setting for significant unification of different areas of physics. Monogenic functions, which zero the vector derivative are shown to effectively model electrodynamics and relativistic dynamics if one allows for space curvature. Applying monogenic functions to flat space, the Hubble relation can be derived straightforwardly as a purely geometrical effect. Consideration of space curvature induced by mass density allows the derivation of flat rotation curves for galaxies without appealing for dark matter. Similarly, a small overall mass density in the Universe is shown to provide a possible explanation for recent supernovae observations, without the need for a cosmological constant.