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Response to `Local and global definitions of time:Cosmology and quantum theory'
Local global definitions time Cosmology quantum theory
2016/6/15
I will discuss the notion of time and spatial finiteness from the perspective of observational cosmology. Our observed universe is well described at early times by small fluctuations in the spatial gr...
Time and Quantum Theory:A History and A Prospectus
time quantum Pauli's theorem events Dirac Heisenberg
2016/6/15
In this paper I am concerned with analyzing in detail how ideas and expectations regarding the role of time in quantum theory arose and evolved in the early years of quantum mechanics (from 1925-27). ...
Local and global definitions of time:Cosmology and quantum theory
Cosmology relational time spatial extent time
2016/6/15
I will give a broad overview of what has become the standard paradigm in cosmology. I will describe the relational (\`{a} la Leibnitz) notion of time that is often used in cosmological calculations an...
I offer an account of how the quantum theory we have helps us explain the enormous variety of phenomena it is generally taken to explain. The account depends on what I have elsewhere called a pragmati...
Topos-Theoretic Approaches to Quantum Theory
Topos theory quantum logic category theory operational quantum mechanics
2016/5/31
Starting from a naive investigation into the nature of experiments on a physical system one can argue that states of the system should pair non-degenerately with physical observables. This duality is ...
Recent years have seen a good deal of work done on one of the most mind blowing and conceptually radical views in quantum mechanics, namely the ‘many worlds’ interpretation of quantum mechanics. Many ...
(Never) Mind your p's and q's:Von Neumann versus Jordan on the Foundations of Quantum Theory
Pascual Jordan John von Neumann transformation theory probability amplitudes canonical transformations Hilbert space spectral theorem
2016/5/30
In early 1927, Pascual Jordan (1927b) published his version of what came to be known as the Dirac-Jordan statistical transformation theory. Later that year and partly in response to Jordan, John von N...
Quantum Mechanics can be viewed as a linear dynamical theory having a familiar mathematical framework but a mysterious probabilistic interpretation, or as a probabilistic theory having a familiar inte...
Neural Unpredictability, the Interpretation of Quantum Theory, and the Mind-Body Problem
Quantum Theory Neural Unpredictability
2008/4/22
It has been suggested, on the one hand, that quantum states are just states of knowledge; and, on the other, that quantum theory is merely a theory of correlations. These suggestions are confronted wi...
On Many-Minds Interpretations of Quantum Theory
quantum theory many minds many worlds Everett
2008/4/22
This paper is a response to some recent discussions of many-minds interpretations in the philosophical literature. After an introduction to the many-minds idea, the complexity of quantum states for ma...
Explaining the Unobserved: Why Quantum Theory Ain't Only About Information
Quantum information Collapse theories Crucial experiments
2008/4/22
A remarkable theorem by Clifton, Bub and Halvorson (2003) (CBH) characterizes quantum theory in terms of information--theoretic principles. According to Bub (2004, 2005) the philosophical significance...
What belongs to quantum theory is no more than what is needed for its derivation. Keeping to this maxim, we record a paradigmatic shift in the foundations of quantum mechanics, where the focus has rec...
In this paper (which is, at best, a work in progress), I discuss different modes of scientific explanation
identified by philosophers
(Hempel, Salmon, Kitcher, Friedman, Hughes)
and
examine how w...
This paper assesses the Everettian approach to the measurement problem, especially the version of that approach advocated by Simon Saunders and David Wallace. I emphasise conceptual, indeed metaphysic...
On Hamilton-Jacobi Theory as a Classical Root of Quantum Theory
Hamilton-Jacobi theory calculus of variations
2008/4/15
This paper gives a technically elementary treatment of some aspects of Hamilton-Jacobi theory, especially in relation to the calculus of variations. The second half of the paper describes the applicat...