The Quantization of the Spacetime Geometry Generated by Planckian Energy Particles

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dc.creatorLousto, C. O.
dc.creatorSanchez, N.
dc.date1993-03-02
dc.date1993-03-03
dc.date.accessioned2026-07-07T08:59:20Z
dc.date.available2026-07-07T08:59:20Z
dc.descriptionWe study the quantization of the curved spacetime created by ultrarelativistic particles at Planckian energies. We consider a minisuperspace model based on the classical shock wave metric generated by these particles, and for which the Wheeler - De Witt equation is solved exactly. The wave function of the geometry is a Bessel function whose argument is the classical action. This allows us to describe not only the semiclassical regime $(S\to\infty),$ but also the strong quantum regime $(S\to0).$ We analyze the interaction with a scalar field $ϕ$ and apply the third quantization formalism to it. The quantum gravity effects make the system to evolve from a highly curved semiclassical geometry (a gravitational wave metric) into a strongly quantum state represented by a weakly curved geometry (essentially flat spacetime).
dc.description11 pages, Plain TEX
dc.identifierhttps://arxiv.org/abs/gr-qc/9303004
dc.identifierhttp://arxiv.org/abs/gr-qc/9303004
dc.identifierin Cosmology and Particle Physics, V.de Sabbata and Tso-Hsiu Eds, Kluwer Ac. Publ., Dordrecht (1994), Vol. C427, pp 193-199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147672
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleThe Quantization of the Spacetime Geometry Generated by Planckian Energy Particles
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