En una teoría unificada como la Topodynamic Field Theory, cada pilar —la trialidad de SO(8), la foliación, la masa armónica, el rebote cuántico, la termodinámica de agujeros negros, la materia oscura topológica y la resolución de la Hipótesis de Riem

We present an exhaustive, rigorously detailed theoretical framework for topodynamic field theory, establishing a geometric and algebraic foundation for spacetime quantization derived from SO(8) foliated manifolds. By exploiting the exceptional triality property of SO(8) (D_4), we define a natural zero-point phase space that algebraically constrains high-energy fluctuations, suppressing ultraviolet divergences without artificial renormalization. We develop the formal 8-dimensional leaf geometry, proving how foliation folding generates a dynamic cosmological term and a discrete harmonic energy spectrum based on the fundamental frequency f_0 = 210.42\\text{ Hz}. Furthermore, we derive complete variational field equations, Standard Model symmetry breaking, modified Friedmann equations predicting an exact quantum bounce, rigorous black hole microstate counting and information preservation, topological dark matter explaining flat galactic rotation curves, and finally resolve the Riemann Hypothesis via spectral operator theory.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-21
DOI
https://doi.org/10.5281/zenodo.22874951
Primary Topic
Black Holes and Theoretical Physics
Type
preprint
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En una teoría unificada como la Topodynamic Field Theory, cada pilar —la trialidad de SO(8), la foliación, la masa armónica, el rebote cuántico, la termodinámica de agujeros negros, la materia oscura topológica y la resolución de la Hipótesis de Riem

Albert Pardo
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
preprint

En una teoría unificada como la Topodynamic Field Theory, cada pilar —la trialidad de SO(8), la foliación, la masa armónica, el rebote cuántico, la termodinámica de agujeros negros, la materia oscura topológica y la resolución de la Hipótesis de Riem

Albert Pardo
preprint en

Abstract

We present an exhaustive, rigorously detailed theoretical framework for topodynamic field theory, establishing a geometric and algebraic foundation for spacetime quantization derived from SO(8) foliated manifolds. By exploiting the exceptional triality property of SO(8) (D_4), we define a natural zero-point phase space that algebraically constrains high-energy fluctuations, suppressing ultraviolet divergences without artificial renormalization. We develop the formal 8-dimensional leaf geometry, proving how foliation folding generates a dynamic cosmological term and a discrete harmonic energy spectrum based on the fundamental frequency f_0 = 210.42\text{ Hz}. Furthermore, we derive complete variational field equations, Standard Model symmetry breaking, modified Friedmann equations predicting an exact quantum bounce, rigorous black hole microstate counting and information preservation, topological dark matter explaining flat galactic rotation curves, and finally resolve the Riemann Hypothesis via spectral operator theory.

Zenodo (CERN European Organization for Nuclear Research)
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Black Holes and Theoretical Physics
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En una teoría unificada como la Topodynamic Field Theory, cada pilar —la trialidad de SO(8), la foliación, la masa armónica, el rebote cuántico, la termodinámica de agujeros negros, la materia oscura topológica y la resolución de la Hipótesis de Riem — Albert Pardo · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS