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701-013-9758-9.pdf | 195.13 kB | Adobe PDF | 見る/開く |
タイトル: | Space-Time Grains: Roots of Special and Doubly Special Relativity |
著者: | Jizba, Petr Scardigli, Fabio |
キーワード: | Relativistic dynamics Superstatistics Path integrals Doubly special relativity |
発行日: | May-2014 |
出版者: | Springer US |
誌名: | Foundations of Physics |
巻: | 44 |
号: | 5 |
開始ページ: | 512 |
終了ページ: | 522 |
抄録: | We show that the special relativistic dynamics when combined with quantum mechanics and the concept of superstatistics can be interpreted as arising from two interlocked non-relativistic stochastic processes that operate at different energy scales. This interpretation leads to Feynman amplitudes that are in the Euclidean regime identical to transition probability of a Brownian particle propagating through a granular space. Some kind of spacetime granularity could be therefore held responsible for the emergence at larger scales of various symmetries. For illustration we consider also the dynamics and the propagator of a spinless relativistic particle. Implications for doubly special relativity, quantum field theory, quantum gravity and cosmology are discussed. |
著作権等: | The final publication is available at Springer via http://dx.doi.org/10.1007/s10701-013-9758-9. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 This is not the published version. Please cite only the published version. |
URI: | http://hdl.handle.net/2433/199608 |
DOI(出版社版): | 10.1007/s10701-013-9758-9 |
出現コレクション: | 学術雑誌掲載論文等 |
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