9 citations · 36 across the 18 of their papers we have counts for
19 papers
The Born Representation Theorem and the Unistochastic Theorem
Jacob A. Barandes
This paper presents self-contained, constructive proofs of two new theorems about stochastic matrices, with direct relevance to quantum theory. The first theorem, herein called the…
The History of Hilbert-Space Formulations of Classical Physics
Jacob A. Barandes
Hilbert-space techniques are widely used not only for quantum theory, but also for classical physics. Two important examples are the Koopman-von Neumann (KvN) formulation and the m…
Against Many Worlds
Emily Adlam, Jacob A. Barandes
Any viable interpretation of quantum theory needs to account for the Born rule, from which the theory gets its probabilistic empirical predictions. In this paper, we give an overvi…
Pilot-Wave Theories as Hidden Markov Models
Jacob A. Barandes
The original version of the de Broglie-Bohm pilot-wave theory, also called Bohmian mechanics, attempted to treat the wave function or pilot wave as a part of the physical ontology…
Historical Debates over the Physical Reality of the Wave Function
Jacob A. Barandes
This paper provides a detailed and unified historical account of early debates over wave-function realism, the modern term for the view that the wave function of quantum theory is…
The Trouble with Weak Values
Jacob A. Barandes
In quantum theory, a weak value is a complex number with a somewhat technical definition: it is a ratio whose numerator is the matrix element of a self-adjoint operator and whose d…
The ABL Rule and the Perils of Post-Selection
Jacob A. Barandes
In 1964, Aharonov, Bergmann, and Lebowitz introduced their well-known ABL rule with the intention of providing a time-symmetric formalism for computing novel kinds of conditional p…
A Deflationary Account of Quantum Theory and its Implications for the Complex Numbers
Jacob A. Barandes
Why does quantum theory need the complex numbers? With a view toward answering this question, I argue that the usual Hilbert-space formalism is a special case of the general method…
The CHSH Game, Tsirelson's Bound, and Causal Locality
Jacob A. Barandes, Mahmudul Hasan, David Kagan
We reformulate the CHSH game in terms of indivisible stochastic processes. Using Barandes's stochastic-quantum correspondence and its associated definition of causal locality, we p…
Quantum Systems as Indivisible Stochastic Processes
Jacob A. Barandes
According to the stochastic--quantum correspondence, a quantum system can be understood as a stochastic process unfolding in an old-fashioned configuration space based on ordinary…
New Prospects for a Causally Local Formulation of Quantum Theory
Jacob A. Barandes
It is difficult to extract reliable criteria for causal locality from the limited ingredients found in textbook quantum theory. In the end, Bell humbly warned that his eponymous th…
The Stochastic-Quantum Theorem
Jacob A. Barandes
This paper introduces several new classes of mathematical structures that have close connections with physics and with the theory of dynamical systems. The most general of these st…
The Stochastic-Quantum Correspondence
Jacob A. Barandes
This paper argues that every quantum system can be understood as a sufficiently general kind of stochastic process unfolding in an old-fashioned configuration space according to or…
Quantum Conditional Probabilities and New Measures of Quantum Information
Jacob A. Barandes, David Kagan
We use a novel form of quantum conditional probability to define new measures of quantum information in a dynamical context. We explore relationships between our new quantities and…
Gauge Invariance for Classical Massless Particles with Spin
Jacob A. Barandes
Wigner's quantum-mechanical classification of particle-types in terms of irreducible representations of the Poincaré group has a classical analogue, which we extend in this paper.…
On Magnetic Forces and Work
Jacob A. Barandes
We address a long-standing debate over whether classical magnetic forces can do work, ultimately answering the question in the affirmative. In detail, we couple a classical particl…
Measurement and Quantum Dynamics in the Minimal Modal Interpretation of Quantum Theory
Jacob A. Barandes, David Kagan
Any realist interpretation of quantum theory must grapple with the measurement problem and the status of state-vector collapse. In a no-collapse approach, measurement is typically…
The Minimal Modal Interpretation of Quantum Theory
Jacob A. Barandes, David Kagan
We introduce a realist, unextravagant interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes…
A Synopsis of the Minimal Modal Interpretation of Quantum Theory
Jacob A. Barandes, David Kagan
We summarize a new realist interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes, but leave…