Quantizations of R(eal numbers)
| dc.creator | Suzuki, Takashi | |
| dc.date | 2003-11-17 | |
| dc.date.accessioned | 2026-07-07T04:16:10Z | |
| dc.date.available | 2026-07-07T04:16:10Z | |
| dc.description | Quantum real numbers are proposed by performing a quantum deformation of the standard real numbers $\R$. We start with the q-deformed Heisenberg algebra $\cLLq$ which is obtained by the Moyal $\ast$-deformation of the Heisenberg algebra generated by $a$ and $\ad$. By representing $\cLLq$ as the algebras of $q$-differentiable functions, we derive quantum real lines from the base spaces of these functional algebras. We find that these quantum lines are discrete spaces. In particular, for the case with $q = e^{2πi \frac{1}{N}} $, the quantum real line is composed of fuzzy, i.e., fluctuating points and nontrivial infinitesimal structure appears around every standard real number. | |
| dc.description | 23 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0311140 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0311140 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52244 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantizations of R(eal numbers) | |
| dc.type | text |