A framework and explicit construction enables causal regularized measurements of spacetime-localized observables in bosonic QFT, with self-backreaction and induced future correlations.
Quantum Mechanics as Quantum Measure Theory
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abstract
The additivity of classical probabilities is only the first in a hierarchy of possible sum-rules, each of which implies its successor. The first and most restrictive sum-rule of the hierarchy yields measure-theory in the Kolmogorov sense, which physically is appropriate for the description of stochastic processes such as Brownian motion. The next weaker sum-rule defines a {\it generalized measure theory} which includes quantum mechanics as a special case. The fact that quantum probabilities can be expressed ``as the squares of quantum amplitudes'' is thus derived in a natural manner, and a series of natural generalizations of the quantum formalism is delineated. Conversely, the mathematical sense in which classical physics is a special case of quantum physics is clarified. The present paper presents these relationships in the context of a ``realistic'' interpretation of quantum mechanics.
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Quantum spacetime with a non-commutative dual explains the fixed Born rule of quantum theory and leads to gravitized quantum mechanics featuring dynamical probabilities and higher-order interference.
Algebraic QFT on curved spacetime erases the distinction between physically real and fictional quantum states that exists in flat-space QM, and the state concept itself may be dispensable.
citing papers explorer
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Causal measurement in quantum field theory: spacetime
A framework and explicit construction enables causal regularized measurements of spacetime-localized observables in bosonic QFT, with self-backreaction and induced future correlations.
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Quantum Spacetime, Quantum Gravity and Gravitized Quantum Theory
Quantum spacetime with a non-commutative dual explains the fixed Born rule of quantum theory and leads to gravitized quantum mechanics featuring dynamical probabilities and higher-order interference.
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A skepticism on the concept of quantum state related to quantum field theory on curved spacetime
Algebraic QFT on curved spacetime erases the distinction between physically real and fictional quantum states that exists in flat-space QM, and the state concept itself may be dispensable.