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Semi-classical limit and minimum decoherence in the Conditional Probability Interpretation of Quantum Mechanics
The Conditional Probability Interpretation of Quantum Mechanics replaces the
abstract notion of time used in standard Quantum Mechanics by the time that can
be read off from a physical clock. The use of physical clocks leads to apparent
non-unitary and decoherence. Here we show that a close approximation to
standard Quantum Mechanics can be recovered from conditional Quantum Mechanics
for semi-classical clocks, and we use these clocks to compute the minimum
decoherence predicted by the Conditional Probability Interpretation.Comment: 8 pages, references adde
Is spontaneous wave function collapse testable at all?
Mainstream literature on spontaneous wave function collapse never reflects on
or profit from the formal coincidence and conceptual relationship with standard
collapse under time-continuous quantum measurement (monitoring). I propose some
easy lessons of standard monitoring theory which would make spontaneous
collapse models revise some of their claims. In particular, the objective
detection of spontaneous collapse remains impossible as long as the correct
identification of what corresponds to the signal in standard monitoring is
missing from spontaneous collapse models, the physical detectability of the
"signal" is not stated explicitly and, finally, the principles of physical
detection are not revealed.Comment: 5pp, Expanding a topic of invited talk at seventh International
Workshop DICE2014 (Castello Pasquini/Castiglioncello/Tuscany, Sept. 15-19,
2014
A model for emergence of space and time
We study string field theory (third quantization) of the two-dimensional
model of quantum geometry called generalized CDT ("causal dynamical
triangulations"). Like in standard non-critical string theory the so-called
string field Hamiltonian of generalized CDT can be associated with W-algebra
generators through the string mode expansion. This allows us to define an
"absolute" vacuum. "Physical" vacua appear as coherent states created by vertex
operators acting on the absolute vacuum. Each coherent state corresponds to
specific values of the coupling constants of generalized CDT. The cosmological
"time" only exists relatively to a given "physical" vacuum and comes into
existence before space, which is created because the "physical" vacuum is
unstable. Thus each CDT "universe" is created as a "Big Bang" from the absolute
vacuum, its time evolution is governed by the CDT string field Hamiltonian with
given coupling constants, and one can imagine interactions between CDT
universes with different coupling constants ("fourth quantization"
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