On Uncertainty Relations at Planck's Scale

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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.
9 pages; published in the Proceedings of the 12th Yugoslav Conference on Nuclear and Particle Physics, (Studenica, 2001), SFIN A2 (2002) 281-287

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