Tuesday, 1 March 2005
Towards Relativistic Quantum Histories: A Branching SpaceTimes
Approach
Thomas Mueller, University Bonn, Philosophy
12:05 pm, 817R Cathedral of Learning
Abstract:
It is notoriously difficult to combine quantum mechanics with relativity
theory in a satisfactory way. In my talk, I wish to sketch an attempt
at meeting some aspects of the challenge by combining the consistent
histories approach to quantum mechanics with the logical framework
of branching spacetimes.
The
consistent histories approach to nonrelativistic quantum mechanics
describes the evolution of a closed quantum system in the form of
a temporal stochastic process. I will first show that most aspects
of that approach can be expressed naturally in the form of a probability
theory based on the logical framework of branching time. The framework
of branching spacetimes (BST), developed by Nuel Belnap in 1992,
is a relativistic extension of branching time. There is thus some
hope that a probability theory based on BST could be used to formulate
a relativistic extension of the consistent histories formalism.
In the second part of my talk I will therefore introduce BST probability
theory and indicate some steps towards a formulation of relativistic
quantum histories.
