Imperial College London

Prof Fay Dowker

Faculty of Natural SciencesDepartment of Physics

Professor of Theoretical Physics







Mrs Graziela De Nadai-Sowrey +44 (0)20 7594 7843




Huxley BuildingSouth Kensington Campus






BibTex format

author = {Wilkes, H and Dowker, H and Lewandowski, C and Havlicek, V},
doi = {1751-8121/aa8e72},
journal = {Journal of Physics A: Mathematical and Theoretical},
title = {A ``problem of time''' in the multiplicative scheme for the n-site hopper},
url = {},
volume = {50},
year = {2017}

RIS format (EndNote, RefMan)

AB - Quantum measure theory (QMT) is an approach to quantum mechanics, based on the path integral, in which quantum theory is conceived of as a generalised stochastic process. One of the postulates of QMT is that events with zero quantum measure do not occur, however this is not sufficient to give a full picture of the quantum world. Determining the other postulates is a work in progress and this paper investigates a proposal called the multiplicative scheme for QMT in which the physical world corresponds, essentially, to a set of histories from the path integral. This scheme is applied to Sorkin's n-site hopper, a discrete, unitary model of a single particle on a ring of n sites, motivated by free Schrödinger propagation. It is shown that the multiplicative scheme's global features lead to the conclusion that no non-trivial, time-finite event can occur.
AU - Wilkes,H
AU - Dowker,H
AU - Lewandowski,C
AU - Havlicek,V
DO - 1751-8121/aa8e72
PY - 2017///
SN - 1751-8113
TI - A ``problem of time''' in the multiplicative scheme for the n-site hopper
T2 - Journal of Physics A: Mathematical and Theoretical
UR -
UR -
VL - 50
ER -