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A Novel Quantum Gravity Approach

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World Scientific

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We propose a candidate theory of quantum gravity founded on the entropic projection of a complex operator de¯ned in a Diagram Hilbert Space. This operator uni¯es mass–energy and charge within a single microscopic entity whose spectral structure encodes the physical content of both gravitational and gauge interactions. Embedding the microscopic dynamics within partition functions - most notably QCD - provides spectral data for the operator, while entropy maximization under energy and charge constraints yields Einstein's and Maxwell's equations from its real and imaginary projections, respectively. Both ¯eld systems thus arise from one statistical–variational principle. Hidden eigenstates of the operator naturally form dark-matter halos with isothermal equilibrium pro¯les explaining °at galactic rotation curves. Dark energy and black holes acquire consistent operator–entropic interpretations. The frame- work therefore o®ers a testable route toward a uni¯ed quantum-gravitational theory in which spacetime and gauge ¯elds emerge as macroscopic thermodynamic constructs of an underlying operator algebra.

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Arneth, Borros: A Novel Quantum Gravity Approach. In: Reports in Advances of Physical Sciences. Vol. 9 (2025); 2550029, Jg. (), S. 1-12. DOI: https://doi.org/10.17192/openumr/1022.

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