Quantum Gravity and String Theory

   

Dimensionality as Regulation of the Ultraviolet-Infrared Mixing

Authors: Alaya Kouki

From Restraint Relativity it is possible to consider a corpuscle as a packet of strings. The variation of the length of this packet is equal to the phase speed of the corpuscle as a packet of waves times an universal constant. In a system of units whereħ=c=a=1 the string vector becomes equal to the wave vector.From quantum mechanics we had deduce that a Planck oscillator can emit or absorb power only by quanta of power multiple integer of hν^2. This allows us to divide space-time in modular cells of action, momentum, energyu2026etc in the phase space geometry of the oscillator and resolve the problem of vacuum energy density. Planck system of units serves only for black holes topology. Space-time is a four open dimensions. More than four the dimension should be curled. Resolving gravitation field by computer machine with model using modular cells will be without singularities . Einstein equations of gravitational field are available only in a quasi static asymptotically flat Universe. Constants G & Λ of General Relativity are proportional to the inverse square of the Universe radius. We propose a new model for the hydrogen atom based on vacuum energy. Vacuum energy its self depends on the dimensionality of space. For weak gravitational field the Infrared cut off depends on real particle (the electron) and for strong gravitational field the Ultraviolet cut off depends on fictive particle ( Planck atom). The holographic principle depends largely on the dimensionality of the space. Also the principle of uncertainty depends in which gravitational field considered weak or strong: we introduce for this Planck fine structure, Planck charge, Planck electric permittivity, Planck electric impedenceu2026etc.

Comments: 47 Pages.

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[v1] 2026-02-18 20:16:28

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