Authors: A. Bennun, N. Ledesma
Quantum inflation could be described by a sequence of surging Planck particles and their elongation, cooperatively increasing space. The process shows that inflationary velocity could be reached, without at any time locally exceeding c. Predominant conjectures support a universe structure described as a gravitational continuum. A quantum treatment has not been favored, because it is dependent of a mechanism preventing collapse, from the gravitational attraction between primordial particles. Wave trains, as well as energy fields, propagate at velocity c. Lowering frequency, results in that each quantum requires a longer space-time of localization. Initially, the four forces are confined within the Planck length (lP=1.61x10^-35 m). The stability of the Planck particle is constrained by the Planck time (tP=5.4x10^-44 s), allowing its energy to be emitted as a wave, and increasing localization length. The Schrödinger equation applied to the gravitational and electromagnetic interactions, acting as mediating forces between two particles, generates wave functions that show longer time of localization than tP. Henceforth, emerging of both photon as well as gravitational action, as either a wave or as a space-curving events, had fields that propagate at velocity c, but the event would manifest as retarded, with regard to the stability or localization times for the particle itself. Two systems of two particles were studied and in both cases the first oscillation, equivalent to a gravitational interaction, has an increase lasting time allowing covering of a longer distance, than the one separating the mass centers of the particles. In the first study, calculation shows that two particles with Planck masses mP, separated by lP, required to surge as a gravitational event a wave function length of about 10.5l P. The second study was localized within the inflationary period from 10^-35 to 10^-33 s. The gravitational interaction was evaluated for masses equivalents to 10^28 Kelvin separated by 3x10^-25 m. These were shown that the mediating force required to act the surging of a wave extending over 3x10^-22 m. Hence, for all purposes there is period when lack of acting gravitational forces, allows the cosmos to increase large enough to prevent a gravitational induced collapse at the mass acquisition event. However, this process may produce a small remnant of Planck particles which, by joining others, could reach longer dissipation times. Thus, allowing their tendency to attract others, to subsist until the time that could function as seeds for galaxies formation process.
Comments: 10 Pages. 2 figures
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