Quantum supersymmetric FRW cosmology with a scalar field
C. Ram\'irez, V. V\'azquez-B\'aez

TL;DR
This paper investigates a quantum supersymmetric Friedmann-Robertson-Walker cosmological model with a scalar field, demonstrating a consistent solution with a conserved probability density and semiclassical behavior.
Contribution
It introduces a novel quantum supersymmetric cosmological model with a scalar field, highlighting a unique solution with a spinorial Hilbert space and conserved probability density.
Findings
The model has a single consistent solution.
The probability density is conserved over time.
Fluctuations are compatible with a semiclassical universe.
Abstract
We analyze the quantum supersymmetric cosmological FRW model with a scalar field, with a conditional probability density and the scalar field identified as time. The Hilbert space has a spinorial structure and there is only one consistent solution, with a conserved probability density. The dynamics of the scale factor is obtained from its mean value. The uncertainty relations are fulfilled and the corresponding fluctuations are consistent with a semiclassical Universe. We give two examples which turn out to have negative potential.
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