Mathematics – Logic
Scientific paper
Jul 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..585o&link_type=abstract
General Relativity and Gravitation, vol. 9, July 1978, p. 585-595. Consejo Nacional de Ciencia y Tecnologia
Mathematics
Logic
14
Cosmology, Dirac Equation, Particle Production, Astronomical Models, Cosmic Rays, Particle Spin, Space-Time Functions
Scientific paper
An exact cosmological solution is obtained for a spherical spacetime in which the radius of curvature of the universe increases linearly with respect to time, the 'gravitational constant' decreases in an inverse linear relation with time, and the mass of the universe increases in proportion to the square of its age. (1961). It is found that for an age of the universe equal to 1.3 by 10 to the -22nd power sec, only a pair of particles (nucleons) existed, the matter density was less than nuclear (about 1 trillion g/cu cm), and the radius of curvature was approximately equal to the Compton wavelength of nucleon. This is assumed to be the initial state of the model, which predicts that the particle creation process began after the indicated time and that the number of nucleons now in the universe is approximately 10 to the 79th power. The model also indicates that the universe began without initial mass if the initial pair of particles was created by quantum fluctuations of space, time and matter.
Obregon O. J.
Pimentel Luis O.
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