Bifold Quantum Gravity: Spacetime under the CPT Constraint, Gauge Coupling Running, and Ultraviolet/Infrared Completeness
Abstract
Starting from the group-theoretic realization of the CPT theorem, we establish the Bifold quantum gravity framework. CPT, as an antiunitary operator, exchanges the two SU(2) factors of the complexified Lorentz algebra, constituting the binary structure of dual-SU(2) spacetime. The algebraic structure of dual SU(2) gives noncommutative geometry, whose equivalent physical description is compactification. From this we derive C_\pm dynamics. Within this framework, we compute the one-loop running of the gauge coupling and, under the boundary conditions \mu_0=M_P/(8\pi) and g_2^2(\mu_0)=1, obtain an infrared Landau pole at 7.4 TeV. The compact cutoff of the rotation sector makes all momenta discrete, turning loop integrals into finite sums and proving ultraviolet completeness; the minimum momentum provides an infrared cutoff and proves infrared completeness. Within this framework, we obtain a rigorous solution to the strong CP problem, \bar\theta=0, consistent with the experimental constraint |\bar\theta|<10^{-10}. The framework further yields two conditional predictions: the Landau pole as the gravitational microscopic scale, and the discrete gauge-coupling energy scales. Bifold quantum gravity provides a ultraviolet- and infrared-complete quantum gravity framework that matches experiments and has testable predictions.
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BibTeX
@misc{黄啸峰2026bifold,
title = {{Bifold Quantum Gravity: Spacetime under the CPT Constraint, Gauge Coupling Running, and Ultraviolet/Infrared Completeness}},
author = {黄啸峰},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23612734},
url = {https://zenodo.org/records/23612734},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Bifold Quantum Gravity: Spacetime under the CPT Constraint, Gauge Coupling Running, and Ultraviolet/Infrared Completeness
AU - 黄啸峰
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23612734
UR - https://zenodo.org/records/23612734
AB - Starting from the group-theoretic realization of the CPT theorem, we establish the Bifold quantum gravity framework. CPT, as an antiunitary operator, exchanges the two SU(2) factors of the complexified Lorentz algebra, constituting the binary structure of dual-SU(2) spacetime. The algebraic structure of dual SU(2) gives noncommutative geometry, whose equivalent physical description is compactification. From this we derive C_\pm dynamics. Within this framework, we compute the one-loop running of the gauge coupling and, under the boundary conditions \mu_0=M_P/(8\pi) and g_2^2(\mu_0)=1, obtain an infrared Landau pole at 7.4 TeV. The compact cutoff of the rotation sector makes all momenta discrete, turning loop integrals into finite sums and proving ultraviolet completeness; the minimum momentum provides an infrared cutoff and proves infrared completeness. Within this framework, we obtain a rigorous solution to the strong CP problem, \bar\theta=0, consistent with the experimental constraint |\bar\theta|<10^{-10}. The framework further yields two conditional predictions: the Landau pole as the gravitational microscopic scale, and the discrete gauge-coupling energy scales. Bifold quantum gravity provides a ultraviolet- and infrared-complete quantum gravity framework that matches experiments and has testable predictions.
ER -