Mathematics – Logic
Scientific paper
Jan 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.331..221h&link_type=abstract
Astrophysics and Space Science, Volume 331, Issue 1, pp.221-236
Mathematics
Logic
Cyclical Universe, Local Cosmological Time, Global Cosmological Time, Cosmic Energy Density, Cosmic Pressure, Hubble Parameter, Reciprocal Functional Relations, Cosmological Evolution Equations
Scientific paper
In this work, which is a supplemental to previous one, we undertake to establish some cosmological thermodynamic equations in the context of the cyclical universe as the scenario in which the universe itself is considered like an adiabatic thermodynamical system enclosed in physical volume characterized by periodic reversible transitions. Our model is based on the combination of local and global cosmological time-dependent temperatures { T 0( τ 0), T( τ)} and volumes { V 0( τ 0), V( τ)} instead of the critical temperature T c and volume V c; and the infinitesimal relative variations { dT/ T, dV/ V}, which are mainly due to the cosmological chaotic fluctuations that are generally ignored in certain oscillating models. By taking into account all these factors, certain equations in the form of d ℓ/ ℓ=± η d τ/ τ H have been established and from them we derive some others to provide a mechanism that is responsible for the thermodynamic evolution of the cyclical universe.
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