Minimal Length and the Existence of Some Infinitesimal Quantities in Quantum Theory and Gravity
It is demonstrated that provided a theory involves a minimal length, this theory must be free from such infinitesimal quantities as infinitely small variations in surface of the holographic screen, its volume, and entropy. The corresponding infinitesimal quantities in this case must be replaced by t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/195157 |
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| author | A. E. Shalyt-Margolin |
| author_facet | A. E. Shalyt-Margolin |
| author_sort | A. E. Shalyt-Margolin |
| collection | DOAJ |
| description | It is demonstrated that provided a theory involves a minimal length, this theory must be free from such infinitesimal quantities as infinitely small variations in surface of the holographic screen, its volume, and entropy. The corresponding infinitesimal quantities in this case must be replaced by the “minimal variations possible”—finite quantities dependent on the existent energies. As a result, the initial low-energy theory (quantum theory or general relativity) inevitably must be replaced by a minimal length theory that gives very close results but operates with absolutely other mathematical apparatus. |
| format | Article |
| id | doaj-art-aa6e8d0168904e25818571f673f6b2e1 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-aa6e8d0168904e25818571f673f6b2e12025-08-20T03:39:36ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/195157195157Minimal Length and the Existence of Some Infinitesimal Quantities in Quantum Theory and GravityA. E. Shalyt-Margolin0National Centre of Particles and High Energy Physics, Pervomayskaya Street 18, 220088 Minsk, BelarusIt is demonstrated that provided a theory involves a minimal length, this theory must be free from such infinitesimal quantities as infinitely small variations in surface of the holographic screen, its volume, and entropy. The corresponding infinitesimal quantities in this case must be replaced by the “minimal variations possible”—finite quantities dependent on the existent energies. As a result, the initial low-energy theory (quantum theory or general relativity) inevitably must be replaced by a minimal length theory that gives very close results but operates with absolutely other mathematical apparatus.http://dx.doi.org/10.1155/2014/195157 |
| spellingShingle | A. E. Shalyt-Margolin Minimal Length and the Existence of Some Infinitesimal Quantities in Quantum Theory and Gravity Advances in High Energy Physics |
| title | Minimal Length and the Existence of Some Infinitesimal Quantities in Quantum Theory and Gravity |
| title_full | Minimal Length and the Existence of Some Infinitesimal Quantities in Quantum Theory and Gravity |
| title_fullStr | Minimal Length and the Existence of Some Infinitesimal Quantities in Quantum Theory and Gravity |
| title_full_unstemmed | Minimal Length and the Existence of Some Infinitesimal Quantities in Quantum Theory and Gravity |
| title_short | Minimal Length and the Existence of Some Infinitesimal Quantities in Quantum Theory and Gravity |
| title_sort | minimal length and the existence of some infinitesimal quantities in quantum theory and gravity |
| url | http://dx.doi.org/10.1155/2014/195157 |
| work_keys_str_mv | AT aeshalytmargolin minimallengthandtheexistenceofsomeinfinitesimalquantitiesinquantumtheoryandgravity |