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Theoretical analysis demonstrates geometric resolution of the vacuum catastrophe in Planck volumes, highlighting unified quantum field theory and gravitation.
This preprints presents a novel geometric framework ("Khilatek") that bridges the scale gap between Quantum Field Theory (QFT) and Einstein's General Relativity (GR), addressing the cosmological constant problem without artificial fitting parameters. By analyzing the root relativistic aperture of the three-dimensional Planck volume, we demonstrate that the notorious 123-order vacuum catastrophe reduces to a precise series of 27 spatial steps and an infinite fractal remainder of one-third of the field (1/3), describing the fundamental quark structure of matter. Furthermore, we establish a legitimate dimensional descent through a 5D Kaluza–Klein metric (4.5 + 0.5 = 5) down to Maxwell's electromagnetism and Newtonian weak-field statics, unifying quantum self-consistency with macroscopic universal gravitation under a single monolithic Lagrangian.
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Denis Petuhenko (2026) studied this question.
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