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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Detectors, Reference Frames, and Time (Hardcover, 1st ed. 2019)
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Detectors, Reference Frames, and Time (Hardcover, 1st ed. 2019)
Series: Springer Theses
Expected to ship within 10 - 15 working days
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This thesis uses the tools of quantum information science to
uncover fascinating new insights about the intersection of quantum
theory and relativity. It is divided into three self-contained
parts, the first of which employs detector models to investigate
how the information content of quantum fields depends on spacetime
curvature and global spacetime topology. The behavior of
Unruh-DeWitt detectors on curved spacetimes are investigated,
following which these detectors are used to probe the vacuum state
of a scalar field in various topologies. This leads to a
generalization of the entanglement harvesting protocol involving
detectors in arbitrary curved spacetimes admitting a Wightman
function. The second part extends the theory of quantum reference
frames to those associated with noncompact groups. Motivated by the
pursuit of a relational relativistic quantum theory where the group
of reference frames is the Poincare group, the author then
generalizes a communication protocol between two parties lacking a
common reference frame to the scenario where the group of
transformations of their reference frame is a one-dimensional
noncompact Lie group. Finally, the third part, inspired by theories
of quantum gravity, generalizes the conditional probability
interpretation of time, a proposed mechanism for time to emerge
from a fundamentally timeless Universe. While the conditional
probability interpretation of time is based upon conditioning a
solution to the Wheeler-DeWitt equation on a subsystem of the
universe that acts a clock, the author extends this approach to
include an interaction between the system being used as a clock and
a system whose evolution the clock is tracking.
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