Why the Length of a Quantum String Cannot Be Lorentz Contracted
We propose a quantum gravity-extended form of the classical length contraction law obtained in special relativity. More specifically, the framework of our discussion is the UV self-complete theory of quantum gravity. We show how our results are consistent with (i) the generalized form of the uncert...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/531696 |
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| author | Antonio Aurilia Euro Spallucci |
| author_facet | Antonio Aurilia Euro Spallucci |
| author_sort | Antonio Aurilia |
| collection | DOAJ |
| description | We propose a quantum gravity-extended form of the classical length contraction law obtained in special relativity. More specifically, the framework of our discussion is the UV self-complete theory of quantum gravity. We show how our results are consistent with (i) the generalized form of the uncertainty principle (GUP), (ii) the so-called hoop-conjecture, and (iii) the intriguing notion of “classicalization” of trans-Planckian physics. We argue that there is a physical limit to the Lorentz contraction rule in the form of some minimal universal length determined by quantum gravity, say the Planck Length, or any of its current embodiments such as the string length, or the TeV quantum gravity length scale. In the latter case, we determine the critical boost that separates the ordinary “particle phase,” characterized by the Compton wavelength, from the “black hole phase,” characterized by the effective Schwarzschild radius of the colliding system. |
| format | Article |
| id | doaj-art-7fec9d786ec74e84aa56235accad5d93 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-7fec9d786ec74e84aa56235accad5d932025-02-03T01:23:42ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/531696531696Why the Length of a Quantum String Cannot Be Lorentz ContractedAntonio Aurilia0Euro Spallucci1Department of Physics and Astronomy, California State Polytechnic University, Pomona, CA 91768, USADipartimento di Fisica, Sezione Teorica, Università di Trieste and INFN, 34100 Trieste, ItalyWe propose a quantum gravity-extended form of the classical length contraction law obtained in special relativity. More specifically, the framework of our discussion is the UV self-complete theory of quantum gravity. We show how our results are consistent with (i) the generalized form of the uncertainty principle (GUP), (ii) the so-called hoop-conjecture, and (iii) the intriguing notion of “classicalization” of trans-Planckian physics. We argue that there is a physical limit to the Lorentz contraction rule in the form of some minimal universal length determined by quantum gravity, say the Planck Length, or any of its current embodiments such as the string length, or the TeV quantum gravity length scale. In the latter case, we determine the critical boost that separates the ordinary “particle phase,” characterized by the Compton wavelength, from the “black hole phase,” characterized by the effective Schwarzschild radius of the colliding system.http://dx.doi.org/10.1155/2013/531696 |
| spellingShingle | Antonio Aurilia Euro Spallucci Why the Length of a Quantum String Cannot Be Lorentz Contracted Advances in High Energy Physics |
| title | Why the Length of a Quantum String Cannot Be Lorentz Contracted |
| title_full | Why the Length of a Quantum String Cannot Be Lorentz Contracted |
| title_fullStr | Why the Length of a Quantum String Cannot Be Lorentz Contracted |
| title_full_unstemmed | Why the Length of a Quantum String Cannot Be Lorentz Contracted |
| title_short | Why the Length of a Quantum String Cannot Be Lorentz Contracted |
| title_sort | why the length of a quantum string cannot be lorentz contracted |
| url | http://dx.doi.org/10.1155/2013/531696 |
| work_keys_str_mv | AT antonioaurilia whythelengthofaquantumstringcannotbelorentzcontracted AT eurospallucci whythelengthofaquantumstringcannotbelorentzcontracted |