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1,1

Computing Hierarchical Cosmological Coupling Constants from an Alternative Seifert-Hyperbolic Approach

doi: 10.6062/jcis.2015.06.03.0100

(Free PDF)

Authors

M. E. Mejia, C. A. Caretta, D. H. Stalder, R. R. Rosa

Abstract

New approaches to cosmological models, based on geometric and topological principles, may allow alternative interpretations for the dark content of the Universe and the in ation paradigm. In this work we use a cusp hyperbolic space glued to singular points of Seifert Fibered homologic spheres in order to avoid the cosmological point-like singularities (only in the glued parts). We show that some results of this approach can reproduce accurately, at least in terms of the hierarchy, a few recent measurements in experimental physics and observational cosmology. From the proposed infinite space with finite volume, we calculate the equivalent values for fundamental coupling constants in our current time for an alternative singularity-free Universe.

Keywords

topology, cosmology, Thurston's theory, singularity-free models, computational mathematics.

References

[1] T. M. Janssen, S. P. Miao, T. Prokopec, R. P. Woodard Infrared Propagator Corrections for Constant Deceleration. Contemp.Concepts Phys. 5, 1-362.arXiv:0808.2449v1 [gr-qc]. (2008).

[2] A. Linde Particle Physics and Inationary Cosmology. Class.Quant.Grav.25:245013.arXiv:hep-th/0503203v1.(2005).

[3]A. Einstein Kosmologische Betrachtungen zur allgem einen Relativitatstheorie. Sitzungsber. K. Preuss. Akad. Wiss.142-152. English translation in H.A. Lorentz, et al., eds. 1952. The Principle of Relativity. Dover Publications, Mineola, New York, 175-188. (1917).

[4] E. Hubble A Relation between Distance and Radial Velocity among Extra-Galactic Nebulae. Proceedings of the National Academy of Sciences. Vol. 15. No. 3. 168-173. (1929).

[5] A. G. Riess, A. V. Filippenko, V. Alexei, P. Challis, A. Clocchiatti, A. Diercks, P. M. Garnavich, R. L. Gilliland, C. J. Hogan, S. Jha, R. P. Kirshner, B. Leibundgut, M. M. Phillips, D. Reiss, B. P. Schmidt, R. A. Schommer, R. C. Smith, J. Spyromilio, C. Stubbs, N. B. Suntzeff, J. Tonry. Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant. The Astronomical Journal, Vol. 116, No. 3, 1009-1038. (1998).

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