On the origin of matter in the Universe

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Big Bang Cosmology, Dirac Equation, Field Theory (Physics), Particle Production, Relativity, Universe, Astrophysics, Charged Particles, Density (Number/Volume), Gravitation Theory, Particle Density (Concentration), Space-Time Functions

Scientific paper

The paper discusses creation of particles with spin 1/2 in what is termed a noncoherent manner. Particle creation rate and the rate of energy production out of the vacuum are calculated at every point of time by the use of the quantized free Dirac field in an expanding Universe with spherical three-dimensional space. The particle number of the Universe is determined as function of the radius of curvature by integration of the creation rate, while neglecting particle annihilation into the vacuum. Self-consistent integration of the Friedman cosmological field equations of gravitation is performed, where the energy is represented by particles with spin 1/2 created by the expansion of the Universe itself. One solution type resulting from the integration is found suitable for a description of the Universe. According to it the particle number increases linearly with radius of curvature and matter density decreases in inverse proportion to the square of it. The results cannot be extended to the earliest stage of the Universe, but up to 90% of the present matter could have been produced during later stages.

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