Geometric Relational Framework for General-Relativistic Gauge Field Theories
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F25%3A00143737" target="_blank" >RIV/00216224:14310/25:00143737 - isvavai.cz</a>
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/10.1002/prop.202400149" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/prop.202400149</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/prop.202400149" target="_blank" >10.1002/prop.202400149</a>
Alternative languages
Result language
angličtina
Original language name
Geometric Relational Framework for General-Relativistic Gauge Field Theories
Original language description
We remind how relationality arises as the core insight of general-relativistic gauge field theories from the articulation of the generalised hole and point-coincidence arguments. Hence, a compelling case for a manifestly relational framework ensues naturally. We propose our formulation for such a framework, based on a significant development of the dressing field method of symmetry reduction. We first develop a version for the group Aut(P) of automorphisms of a principal bundle P over a manifold M, as it is the most natural and elegant, and as P hosts all the mathematical structures relevant to general-relativistic gauge field theory. Yet, as the standard formulation is local, on M, we then develop the relational framework for local field theory. It manifestly implements the generalised point-coincidence argument, whereby the physical field-theoretical degrees of freedoms co-define each other and define, coordinatise, the physical spacetime itself. Applying the framework to General Relativity, we obtain relational Einstein equations, encompassing various notions of “scalar coordinatisation” `a la Kretschmann-Komar and Brown-Kuchaˇr.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
<a href="/en/project/EH22_010%2F0003229" target="_blank" >EH22_010/0003229: MSCAfellow5_MUNI</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
ISSN
0015-8208
e-ISSN
1521-3978
Volume of the periodical
73
Issue of the periodical within the volume
1-2
Country of publishing house
DE - GERMANY
Number of pages
56
Pages from-to
1-56
UT code for WoS article
001354393800001
EID of the result in the Scopus database
2-s2.0-85208438303