The Quantum Measure  And How To Measure It Speaker(s): Rafael Sorkin
Abstract:
When utilized appropriately, the pathintegral offers an alternative to the ordinary quantum formalism of statevectors, selfadjoint operators, and external observers  an alternative that seems closer to the underlying reality and more in tune with quantum gravity. The basic dynamical relationships are then expressed, not by a propagator, but by the quantum measure, a setfunction $mu$ that assigns to every (suitably regular) set $E$ of histories its generalized measure $mu(E)$. (The idea is that $mu$ is to quantum mechanics what Wienermeasure is to Brownian motion.) Except in special cases, $mu(E)$ cannot be interpreted as a probability, as it is neither additive nor bounded above by unity. Nor, in general, can it be interpreted as the expectation value of a projection operator (or POVM). Nevertheless, I will describe how one can ascertain $mu(E)$ experimentally for any specified $E$, by means of an arrangement which, in a welldefined sense, acts as an $E$pass filter. This raises the question whether in certain circumstances we can claim to know that the event $E$ actually did occur. REFERENCE: Alvaro Mozota Frauca and Rafael Dolnick Sorkin, How to Measure the Quantum Measure, Int J Theor Phys 56: 232258 (2017), arxiv:1610.02087 Date: 07/03/2017  3:30 pm
Series: Quantum Foundations
