Quantum Gravity, the Origin of Time and Time's Arrow

Details Quantum Gravity, the Origin of Time and Time's Arrow Quantum Gravity, the Origin of Time and Time's Arrow

1992-09-02

arxiv.org/abs/gr-qc/9209001v1

Found.Phys. 23 (1993) 411-437

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

37 pages

Scientific paper

10.1007/BF01883721

The local Lorentz and diffeomorphism symmetries of Einstein's gravitational theory are spontaneously broken by a Higgs mechanism by invoking a phase transition in the early Universe, at a critical temperature $T_c$ below which the symmetry is restored. The spontaneous breakdown of the vacuum state generates an external time and the wave function of the Universe satisfies a time dependent Schrodinger equation, which reduces to the Wheeler-deWitt equation in the classical regime for $T < T_c$, allowing a semi-classical WKB approximation to the wave function. The conservation of energy is spontaneously violated for $T > T_c$ and matter is created fractions of seconds after the big bang, generating the matter in the Universe. The time direction of the vacuum expectation value of the scalar Higgs field generates a time asymmetry, which defines the cosmological arrow of time and the direction of increasing entropy as the Lorentz symmetry is restored at low temperatures.

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