2004/05/08 by Branko Dragovich, Бранко Драгович, Dragovich, Branko
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Topological and Geometric Data Analysis #advanced mathematical theories #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0405067
9 pages; published in the Proceedings of the 12th Yugoslav Conference on Nuclear and Particle Physics, (Studenica, 2001), SFIN A2 (2002) 281-287
arxiv created 2004/05/08 · openalex publication_date 2004/05/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A brief review of the previous research on the Heisenberg uncertainty relations at the Planck scale is given. In this work, investigation of the uncertainty principle extends to p-adic and adelic quantum mechanics. In particular, p-adic analogs of the Heisenberg algebra and uncertainty relation are introduced. Unlike ordinary quantum theory, adelic quantum approach provides a promising framework to probe space below the Planck length.