On a class of determinist models for emergent quantum mechanics
Date:
Wednesday, February 18, 2015
Room:
204
Speaker:
Ricardo Gallego Torrome
Abstract:
In this talk we discuss some models for emergent quantum mechanics in the line of 't Hooft's approach. After the geometric and dynamical setting is introduced, the construction of a phenomenological wave function and the Hilbert space structure is made from the fundamental elements of the models. Then we show how a geometric picture of quantum non-locality could be accommodated in these models. We will discuss a purely analytical-geometric mechanism for a spontaneous reduction of the quantum state and how this mechanism obligates to consider gravity as a classical and emergent interaction. Moreover, as a consequence of the same mechanism, the weak equivalence principle must be exact.
References:
- R. Gallego Torromé, {Averaged Structures Associated to a Finsler structure}, {math.DG/0501058}; On the convex invariance in Finsler geometry, Symmetry:
Culture and Science, Volume 23, Number 2, 133-140, 2012.
- M. Gromov, {Riemannian structures for Riemannian and non-Riemannian spaces, Birkhäuser (1999).
- G. 't Hooft, Determinism and Dissipation in Quantum gravity}, hep-th/0003005
- G. 't Hooft, How does God play dies?(Pre-) Determinism at the Planck Scale, hep-th/0104219
- G. 't Hooft, A mathematical theory for deterministic quantum mechanics, Conference Series, Volume 67, Issue 1, pp. 012015 (2007)
- V. D. Milman and Gideon Schechtman, Asymptotic theory of Finite Dimensional normed spaces, Lecture notes in Mathematics 1200, Springer (2001).
- R. Miron, D. Hrimiuc, H. Shimada and V. Sabau, The Geometry of Hamilton and Lagrange Spaces, Fundamental Theories in Physics 118, Kluwer (2001).
- G. Randers, On an Asymmetrical Metric in the Four-Space of General Relativity, Phys. Rev. 59,195-199 (1941).
- M. Talagrand, A new look at independence,Ann. Probab. Volume 24, Number 1, 1-34 (1996).