Dynamical-Space Regular-Time Lattice and Induced Gravity
| dc.creator | Shamir, Yigal | |
| dc.date | 1994-02-18 | |
| dc.date | 1994-04-04 | |
| dc.date.accessioned | 2026-07-07T09:01:29Z | |
| dc.date.available | 2026-07-07T09:01:29Z | |
| dc.description | It is proposed that gravity may arise in the low energy limit of a model of matter fields defined on a special kind of a dynamical random lattice. Time is discretized into regular intervals, whereas the discretization of space is random and dynamical. A triangulation is associated to each distribution of the spacetime points using the flat metric of the embedding space. We introduce a diffeomorphism invariant, bilinear scalar action, but no ``pure gravity'' action. Evidence for the existence of a non-trivial continuum limit is provided by showing that the zero momentum scalar excitation has a finite energy in the limit of vanishing lattice spacing. Assuming the existence of localized low energy states which are described by a natural set of observables, we show that an effective curved metric will be induced dynamically. The components of the metric tensor are identified with quasi-local averages of certain microscopic properties of the quantum spacetime. The Planck scale is identified with the highest mass scale of the matter sector. | |
| dc.description | WIS-94/10-Feb-PH, LaTeX, 39 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9402109 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9402109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148335 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Astrophysics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Dynamical-Space Regular-Time Lattice and Induced Gravity | |
| dc.type | text |