*Evolving Realities for Quantum Measure Theory*
Henry Wilkes*
Imperial College, London
September 28, 2018
https://arxiv.org/abs/1809.10427
We introduce and explore Rafael Sorkin's \textit{evolving co-event scheme}:
a theoretical framework for determining completely which events do and do
not happen in evolving quantum, or indeed classical, systems. The theory is
observer-independent and constructed from discrete histories, making the
framework a potential setting for discrete quantum cosmology and quantum
gravity, as well as ordinary discrete quantum systems. The foundation of
this theory is Quantum Measure Theory, which generalises (classical)
measure theory to allow for quantum interference between alternative
histories; and its co-event interpretation, which describes whether events
can or can not occur, and in what combination, given a system and a quantum
measure. In contrast to previous co-event schemes, the evolving co-event
scheme is applied in stages, in the stochastic sense, without any
dependence on later stages, making it manifestly compatible with an
evolving block view. It is shown that the co-event realities produced by
the basic evolving scheme do not depend on the inclusion or exclusion of
zero measure histories in the history space, which follows non-trivially
from the basic rules of the scheme. It is also shown that this evolving
co-event scheme will reduce to producing classical realities when it is
applied to classical systems.
* Henry Wilkes is a graduate student at Imperial College
https://www.imperial.ac.uk/media/imperial-college/research-centres-and-groups/theoretical-physics/2018-19-Theory-PhD-student-photos-.pdf
@philipthrift
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