The Search for the Origins of M Theory : Loop Quantum Mechanics, Loops/Strings and Bulk/Boundary Dualities
| dc.creator | Castro, Carlos | |
| dc.date | 1998-09-15 | |
| dc.date | 1998-10-01 | |
| dc.date.accessioned | 2026-07-07T04:25:07Z | |
| dc.date.available | 2026-07-07T04:25:07Z | |
| dc.description | The construction of a $covariant$ Loop Wave functional equation in a 4D spacetime is attained by introducing a generalized $eleven$ dimensional categorical {\bf C}-space comprised of $8\times 8$ antisymmetric matrices. The latter matrices encode the generalized coordinates of the histories of points, loops and surfaces $combined$. Spacetime Topology change and the Holographic principle are natural consequences of imposing the principle of $covariance$ in {\bf C}-space. The Planck length is introduced as a necessary rescaling parameter to establish the correspondence limit with the physics of point-histories in ordinary Minkowski space, in the limit $l_P\to 0$. Spacetime quantization should appear in discrete units of Planck length, area, volume ,....All this seems to suggest that the generalized principle of covariance, representing invariance of proper $area$ intervals in {\bf C}-space, under matrix-coordinate transformations, could be relevant in discovering the underlying principle behind the origins of $M$ theory. We construct an ansatz for the $SU(\infty)$ Yang-Mills vacuum wavefunctional as a solution of the Schroedinger Loop Wave equation associated with the Loop Quantum Mechanical formulation of the Eguchi-Schild String . The Strings/Loops ($SU(\infty)$ gauge field) correspondence implements one form of the Bulk/Boundary duality conjecture in this case. | |
| dc.description | 42 pages, revised latex file. Minor corrections are made and some additions are included | |
| dc.identifier | https://arxiv.org/abs/hep-th/9809102 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9809102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55657 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Search for the Origins of M Theory : Loop Quantum Mechanics, Loops/Strings and Bulk/Boundary Dualities | |
| dc.type | text |