24–26 May 2017
Laboratori Nazionali di Frascati
Europe/Rome timezone

On a correspondence between Trace Dynamics and Quantum Theories

26 May 2017, 11:20
30m
Aula Seminari (Laboratori Nazionali di Frascati)

Aula Seminari

Laboratori Nazionali di Frascati

Speaker

Stefano Bacchi (T)

Description

Abstract. Trace Dynamics (TD) is a pre-quantum theory, which declares to recover standard Quantum Mechanics (QM) by a thermodynamic-like procedure as explained in [Adl04]. TD is an underlying theory for spontaneous collapse models [BLS+13], which at present are phenomenological models for solving the quantum measurement problem and the absence of macroscopic superposition. TD is a very young theory, with several crucial open problems both from the theoretical physics as well as mathematical physics point of view, we explain here the main issues. In order to obtain QM from TD, one needs an average procedure on the Grassmann algebraic space over which TD lies; so we specify the mathematical details of this procedure. We evolve the space of TD into a super Hilbert space and we proof the existence of a well-defined relation between the super Hilbert space of TD and a standard Hilbert space. Moreover we make explicit what are the constraints in order to derive a rigorous correspondence between TD and Quantum Field Theory. References. [Adl04] S.L. Adler. Quantum Theory as an Emergent Phenomenon: The Statistical Mechanics of Matrix Models as the Precursor of Quantum Field Theory. Cambridge University Press, 2004. [BLS+13] Angelo Bassi, Kinjalk Lochan, Seema Satin, Tejinder P. Singh, and Hendrik Ulbricht. Models of wave-function collapse, underlying theories, and experimental tests. Rev. Mod. Phys., 85:471–527, Apr 2013.

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