The Mathematical Structure of Superspace as a Consequence of Time Asymmetry

Abstract

It is demonstrated how a convenient choice of the mathematical structure of the quantum cosmology superspace, precisely the definition of a convenient regular state superspace and the restriction of the dynamics to this space, yields directly to an irreversible evolution, in the classical (and semiclassical) phase of the universe, where: Decoherence and correlations take place and therefore give origin to a classical universe. The second law of thermodynamic is demonstrated. Connection with Reichenbach branch system idea can be implemented. Some rough coincidence with observational data are obtained. The arrows of time can be correlated. Time asymmetry can be explained as a state space asymmetry (e. g. like a spontaneous symmetry breaking All these facts solve the problem of time-asymmetry and show that it is time asymmetry itself that defines the most important features of mathematical structure of superspace.

45 pages, latex, no figures

References in corpus (3)

• Diffeomorphism Cohomology in Beltrami Parametrization II : The 1-Forms
• Decoherence, Correlation, and Unstable Quantum States in Semiclassical Cosmology
• The Time-Asymmetry and the Entropy Gap

Cited by in corpus (11)

• The cosmological origin of time-asymmetry
• Functional Approach to Quantum Decoherence and the Classical Final Limit
• The self-induced approach to decoherence in cosmology
• Records Theory
• Particles with negative energies in black holes
• Minimal irreversible quantum mechanics. The decay of unstable states
• Minimal Irreversible Quantum Mechanics
• Addemdum to: ''The Mathematical Structure of Quantum Superspace as a Consequence of Time Asymmetry''
• Global time asymmetry as a consequence of a wave packets theorem
• Time asymmetries in quantum cosmology and the searching for boundary conditions to the Wheeler-DeWitt equation
• Creation of unstable particles and decoherence in semiclassical cosmology