TL;DR
This paper explores adelic and p-adic frameworks for string theory and noncommutative geometry, emphasizing path integrals and constructing adelic noncommutative scalar solitons, linking quantum gravity uncertainties to noncommutativity.
Contribution
It introduces p-adic and adelic versions of Moyal products and constructs adelic noncommutative scalar solitons, advancing the mathematical tools for noncommutative string theory.
Findings
p-adic and adelic Moyal products are formulated.
Adelic noncommutative scalar solitons are constructed.
Uncertainties in quantum gravity are related to spatial noncommutativity.
Abstract
We consider adelic approach to strings and spatial noncommutativity. Path integral method to string amplitudes is emphasized. Uncertainties in spatial measurements in quantum gravity are related to noncommutativity between coordinates. p-Adic and adelic Moyal products are introduced. In particular, p-adic and adelic counterparts of some real noncommutative scalar solitons are constructed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.