On the area of the sphere in a Snyder geometry
P. Valtancoli
TL;DR
This paper calculates the surface area of a d-dimensional sphere within Snyder geometry, a quantum gravity-inspired framework that modifies classical geometric notions.
Contribution
It provides the first explicit computation of sphere areas in Snyder geometry, extending geometric understanding in non-commutative spaces.
Findings
Derived a formula for the sphere area in Snyder geometry
Showed deviations from classical geometry at small scales
Enhanced understanding of quantum geometric effects
Abstract
We compute the area of a generic d-sphere in a Snyder geometry.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Noncommutative and Quantum Gravity Theories