Foundations of Gyro-Gauge theories
In this paper, we present novel mathematical results enabling the coherent extension of the definitions of vector bundles and principal bundles to the framework of gyro-structures, as introduced by Ungar. The motivation for such an extension arises from a recently proposed quantum psychophysical model of color vision, whose symmetries are governed by a gyrogroup rather than a conventional group.
Authors
- Michel Berthier (ORCID: https://orcid.org/0000-0002-3298-4011)
- Edoardo Provenzi (ORCID: https://orcid.org/0000-0002-1476-1236)
- Francesco Manicastri
Institutions
- University of Pisa (IT)
- Centre National de la Recherche Scientifique (FR)
- Université de Bordeaux (FR)
- Institut Polytechnique de Bordeaux (FR)
- Istituto Nazionale di Fisica Nucleare, Sezione di Pisa (IT)
- Institut de Mathématiques de Bordeaux (FR)
- La Rochelle Université (FR)
Publication Details
- Journal
- International Journal of Geometric Methods in Modern Physics
- Published
- 2025-04-16
- DOI
- https://doi.org/10.1142/s0219887825501890
- Primary Topic
- Geophysics and Sensor Technology
- Type
- article
- Field-Weighted Citation Impact
- 0.00