Topodynamic Framework and Regularization by SO(8) Triality at the Zero Point (versión en inglés) o Marco Topodinámico y Regularización por Triality SO(8) en el Punto Cero (versión en español).

{"Non-linear":[0],"field":[1],"theories":[2],"routinely":[3],"face":[4],"severe":[5],"ultraviolet":[6],"divergences.":[7],"In":[8],"this":[9],"work,":[10],"we":[11],"propose":[12],"a":[13,20,63],"geometric":[14],"and":[15,31,51],"non-perturbative":[16],"formulation":[17],"based":[18],"on":[19],"topodynamic":[21],"framework,":[22],"where":[23],"high-energy":[24],"interactions":[25],"are":[26],"regulated":[27],"by":[28],"strict":[29],"symmetries":[30],"the":[32,41,47,52,56],"SO(8)":[33],"triality":[34],"property.":[35],"We":[36],"analytically":[37],"demonstrate":[38],"that":[39],"in":[40,62],"transition":[42],"manifold":[43],"or":[44],"\\"zero":[45],"point\\",":[46],"non-linear":[48],"terms":[49],"collapse":[50],"representations":[53],"decouple,":[54],"allowing":[55],"eigenvalue":[57],"spectrum":[58],"to":[59],"be":[60],"solved":[61],"completely":[64],"finite":[65],"manner":[66],"via":[67],"spectral":[68],"zeta":[69],"regularization.":[70]}

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-21
DOI
https://doi.org/10.5281/zenodo.22872633
Primary Topic
Particle physics theoretical and experimental studies
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
preprint

Topodynamic Framework and Regularization by SO(8) Triality at the Zero Point (versión en inglés) o Marco Topodinámico y Regularización por Triality SO(8) en el Punto Cero (versión en español).

Albert Pardo cruañas
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
preprint

Topodynamic Framework and Regularization by SO(8) Triality at the Zero Point (versión en inglés) o Marco Topodinámico y Regularización por Triality SO(8) en el Punto Cero (versión en español).

Albert Pardo cruañas
preprint en

Abstract

Non-linear field theories routinely face severe ultraviolet divergences. In this work, we propose a geometric and non-perturbative formulation based on a topodynamic framework, where high-energy interactions are regulated by strict symmetries and the SO(8) triality property. We analytically demonstrate that in the transition manifold or "zero point", the non-linear terms collapse and the representations decouple, allowing the eigenvalue spectrum to be solved in a completely finite manner via spectral zeta regularization.

Zenodo (CERN European Organization for Nuclear Research)
Affordable and clean energy
Particle physics theoretical and experimental studies
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.