Direct Formation of Supermassive Black Holes from the Big Bang

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The quantum spacetime geometrization has the capability to give rise to a gravity equation that is analytically coupled to the fermion and boson fields. This achievement is made possible by incorporating two fundamental principles in the process of generaliza-tion: field equation covariance and the least-action principle. The theory establishes the reciprocal influence of fields on the gravitational equation, thereby defining the impact of fields on gravity. The gravitational backreaction of the fields is determined through the energy tensor density of the fields, resulting in a non-commutative model. The coupled system of gravity–field equations does not rely on semiclassical approximations or weak gravity conditions. The backreaction of the fields is accounted for at any level of approximation, enabling the description of gravity and phys-ical laws across all distance scales and under conditions of high gravity, including the Big Bang scenario. On a cosmological scale, the model resolves the point singularity issue as-sociated with black holes. At the scale of elementary particles, the quantization of the field variables gives rise to an operational system of gravity–field equations capable of describ-ing high-energy excited states of the vacuum, leading to significant spacetime curvature. The weak gravity limit enables the calculation of gravitational corrections to QED and, potentially, to the standard model as well. Furthermore, it offers an explanation for the presence of the quintessence-like cosmo-logical pressure density and the breaking of matter–antimatter symmetry at high energies. In the cosmological model, the theory provides an explanation for the formation of supermassive black holes, surrounded by their own galaxy, directly from the Big Bang dynamics without the need for mass accretion. This model also aligns with the recent ob-servations made by the James Webb Space Telescope, which provide support for the early formation of galactic configurations shortly after the Big Bang. It is noteworthy to observe that, similarly to classical general relativity, which couples with the electromagnetic field and is formally unified in the context of five-dimensional gravity, as proposed by Theodor Kaluza [21], the system of equations for the Quantum Gravity Extension of the Standard Model establishes the mathematical groundwork for developing a unique, multi-dimensional gravity-like equation, which encompasses the description of fundamental interactions and particle fields.

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