12 citations · 37 across the 11 of their papers we have counts for
12 papers
Quantization as a Categorical Equivalence for Hilbert Bimodules and Lagrangian Relations
Benjamin H. Feintzeig
It is well known that classical and quantum theories carry distinct types of representations, each type of representation corresponding to possible values of generalized charges in…
Forward-Time Equivalent of a "Retrocausal" Diffusion Hidden Variable Model for Quantum Mechanics
William S. DeWitt, Benjamin H. Feintzeig
A recently proposed stochastic hidden variable model for quantum mechanics has been claimed to involve "retrocausality" due to the appearance of equations of motion with future-tim…
Quantum Probability via the Method of Arbitrary Functions
Liam Bonds, Brooke Burson, Kade Cicchella +3
The goal of this paper is to apply the collection of mathematical tools known as the "method of arbitrary functions" to analyze how probability arises from quantum dynamics. We arg…
Classical Limits of Hilbert Bimodules as Symplectic Dual Pairs
Benjamin H. Feintzeig, Jer Steeger
Hilbert bimodules are morphisms between C*-algebraic models of quantum systems, while symplectic dual pairs are morphisms between Poisson geometric models of classical systems. Bot…
Quantization as a Categorical Equivalence
Benjamin H. Feintzeig
We demonstrate that, in certain cases, quantization and the classical limit provide functors that are "almost inverse" to each other. These functors map between categories of algeb…
Localizable Particles in the Classical Limit of Quantum Field Theory
Benjamin H. Feintzeig, Jonah Librande, Rory Soiffer
A number of arguments purport to show that quantum field theory cannot be given an interpretation in terms of localizable particles. We show, in light of such arguments, that the c…
Extensions of Bundles of C*-algebras
Jeremy Steeger, Benjamin H. Feintzeig
Bundles of C*-algebras can be used to represent limits of physical theories whose algebraic structure depends on the value of a parameter. The primary example is the l…
Classical Limits of Unbounded Quantities by Strict Quantization
Thomas L. Browning, Benjamin H. Feintzeig, Robin Gates-Redburg +2
This paper extends the tools of C*-algebraic strict quantization toward analyzing the classical limits of unbounded quantities in quantum theories. We introduce the approach first…
Why Be Regular? Part I
Benjamin Feintzeig, JB, Manchak +2
We provide a novel perspective on "regularity" as a property of representations of the Weyl algebra. We first critique a proposal by Halvorson [2004, "Complementarity of representa…
Why Be Regular? Part II
Benjamin Feintzeig, James Owen Weatherall
We provide a novel perspective on "regularity" as a property of representations of the Weyl algebra. In Part I, we critiqued a proposal by Halvorson [2004, "Complementarity of repr…
The classical limit of a state on the Weyl algebra
Benjamin Feintzeig
This paper considers states on the Weyl algebra of the canonical commutation relations over the phase space R^{2n}. We show that a state is regular iff its classical limit is a cou…
On Noncontextual, Non-Kolmogorovian Hidden Variable Theories
Benjamin H. Feintzeig, Samuel C. Fletcher
One implication of Bell's theorem is that there cannot in general be hidden variable models for quantum mechanics that both are noncontextual and retain the structure of a classica…