Minisuperspace

The minisuperspace in physics, especially in theories of quantum gravity, is an approximation of the otherwise infinite-dimensional phase space of a field theory. The phase space is reduced by considering the largest wavelength modes to be of the order of the size of the universe when studying cosmological models and removing all larger modes. The validity of this approximation holds as long as the adiabatic approximation holds.

An example would be to only consider the scale factor and Hubble constant for a Friedman–Robertson–Walker model in minisuperspace model^[1]^[2]^[3] the small true vacuum bubble which is nearly spherical with one single parameter of the scalar factor a is described as minisuperspace. It plays a significant role in the explanation of the origin of universe as a bubble in quantum cosmological theory.^[4]

References

^ Pinto-Neto, N.; Fabris, J. C. (2013-06-12). "Quantum cosmology from the de Broglie–Bohm perspective". Classical and Quantum Gravity. 30 (14). IOP Publishing: 143001. arXiv:1306.0820. Bibcode:2013CQGra..30n3001P. doi:10.1088/0264-9381/30/14/143001. ISSN 0264-9381. S2CID 119291842.
^ Pinto-Neto, N.; Falciano, F. T.; Pereira, Roberto; Santini, E. Sergio (2012-09-05). "Wheeler-DeWitt quantization can solve the singularity problem". Physical Review D. 86 (6): 063504. arXiv:1206.4021. Bibcode:2012PhRvD..86f3504P. doi:10.1103/physrevd.86.063504. ISSN 1550-7998. S2CID 118490295.
^ Kim, Sang Pyo (1997). "Quantum potential and cosmological singularities". Physics Letters A. 236 (1–2). Elsevier BV: 11–15. arXiv:gr-qc/9703065. Bibcode:1997PhLA..236...11K. doi:10.1016/s0375-9601(97)00744-5. ISSN 0375-9601. S2CID 12447826.
^ Vilenkin, Alexander (1994-08-15). "Approaches to quantum cosmology". Physical Review D. 50 (4): 2581–2594. arXiv:gr-qc/9403010. Bibcode:1994PhRvD..50.2581V. doi:10.1103/physrevd.50.2581. ISSN 0556-2821. PMID 10017889. S2CID 32646437.

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[1] Pinto-Neto, N.; Fabris, J. C. (2013-06-12). "Quantum cosmology from the de Broglie–Bohm perspective". Classical and Quantum Gravity. 30 (14). IOP Publishing: 143001. arXiv:1306.0820. Bibcode:2013CQGra..30n3001P. doi:10.1088/0264-9381/30/14/143001. ISSN 0264-9381. S2CID 119291842.

[2] Pinto-Neto, N.; Falciano, F. T.; Pereira, Roberto; Santini, E. Sergio (2012-09-05). "Wheeler-DeWitt quantization can solve the singularity problem". Physical Review D. 86 (6): 063504. arXiv:1206.4021. Bibcode:2012PhRvD..86f3504P. doi:10.1103/physrevd.86.063504. ISSN 1550-7998. S2CID 118490295.

[3] Kim, Sang Pyo (1997). "Quantum potential and cosmological singularities". Physics Letters A. 236 (1–2). Elsevier BV: 11–15. arXiv:gr-qc/9703065. Bibcode:1997PhLA..236...11K. doi:10.1016/s0375-9601(97)00744-5. ISSN 0375-9601. S2CID 12447826.

[4] Vilenkin, Alexander (1994-08-15). "Approaches to quantum cosmology". Physical Review D. 50 (4): 2581–2594. arXiv:gr-qc/9403010. Bibcode:1994PhRvD..50.2581V. doi:10.1103/physrevd.50.2581. ISSN 0556-2821. PMID 10017889. S2CID 32646437.

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