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In the context of a physical theory, two devices, A and B, described by the theory are called incompatible if the theory does not allow the existence of a third device C that would have both A and B as its components. Incompatibility is a…

Quantum Physics · Physics 2016-02-18 Teiko Heinosaari , Takayuki Miyadera , Mario Ziman

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 of the theorem is that quantum theory…

Quantum Physics · Physics 2009-11-11 Amit Hagar , Meir Hemmo

The question of what ontological message (if any) is encoded in the formalism of contemporary physics is, to say the least, controversial. The reasons for this state of affairs are psychological and neurobiological. The processes by which…

Quantum Physics · Physics 2007-05-23 Ulrich Mohrhoff

We take quantum theory and replace $\mathbb{C}$ by $\mathbb{C}[\varepsilon]$ where $\varepsilon^2=0$, i.e. we extend quantum theory to the ring of dual complex numbers. The aim is to develop a common language in which to treat continuous…

Quantum Physics · Physics 2026-03-19 P. Arrighi , D. Bakircioglu , N. L. Houyet

After having explained Samuel Clarke's conception of the new philosophy of physical reality, we will treat the electron field in this context as a field modifying the void. From this we will be able to derive the so-called quantum rules…

Mathematical Physics · Physics 2007-05-23 Constantin Piron

Quantum Mechanics, almost 80 years after its arrival, is a well established and experimentally not falsified theory. It has predicted and explained a whole series of natural phenomena of a very delicate nature. But its interpretation has…

Quantum Physics · Physics 2009-05-30 Dimitris Lazarou

We show that three fundamental information-theoretic constraints--the impossibility of superluminal information transfer between two physical systems by performing measurements on one of them, the impossibility of broadcasting the…

Quantum Physics · Physics 2007-05-23 Rob Clifton , Jeffrey Bub , Hans Halvorson

The apparent impossibility of extending non-relativistic quantum mechanics to a relativistic quantum theory is shown to be due to the insufficient structural richness of the field of complex numbers over which quantum mechanics is built. A…

General Physics · Physics 2012-04-17 Emile Grgin

I give a pedagogical explanation of what it is about quantization that makes general relativity go from being a nearly perfect classical theory to a very problematic quantum one. I also explain why some quantization of gravity is…

General Relativity and Quantum Cosmology · Physics 2015-05-13 R. P. Woodard

Quantum mechanics marks a radical departure from the classical understanding of Nature, fostering an inherent randomness which forbids a deterministic description; yet the most fundamental departure arises from something different. As shown…

To date, there has been no experimental evidence that invalidates quantum theory. Yet it may only be an effective description of the world, in the same way that classical physics is an effective description of the quantum world. We ask…

Quantum Physics · Physics 2018-07-05 Ciarán M. Lee , John H. Selby

Relational quantum mechanics (RQM) proposes an ontology of relations between physical systems, where any system can serve as an `observer' and any physical interaction between systems counts as a `measurement'. Quantities take unique values…

Quantum Physics · Physics 2021-12-30 Jacques L. Pienaar

It is argued that the traditional "realist" methodology of physics, according to which human concepts, laws and theories can grasp the essence of reality, is incompatible with the most fruitful interpretation of quantum formalism. The proof…

Quantum Physics · Physics 2011-07-19 M. Ferrero , D. Salgado , J. L. Sanchez-Gomez

The usual formulation of quantum theory is based on rather obscure axioms (employing complex Hilbert spaces, Hermitean operators, and the trace rule for calculating probabilities). In this paper it is shown that quantum theory can be…

Quantum Physics · Physics 2007-05-23 Lucien Hardy

Difficulties and discomfort with the interpretation of quantum mechanics are due to differences in language between it and classical physics. Analogies to The Special Theory of Relativity, which also required changes in the basic worldview…

Quantum Physics · Physics 2015-06-26 A. R. P. Rau

To understand the foundations of quantum mechanics, we have to think carefully about how theoretical concepts are rooted in -- and limited by -- the nature of experience, as Bohr attempted to show. Geometrical pictures of physical phenomena…

Quantum Physics · Physics 2007-05-23 Doug Bilodeau

After the development of a self-consistent quantum formalism nearly a century ago, there ensued a quest to understand the often counterintuitive predictions of the theory. These endeavors invariably begin with the assumption of the "truth"…

History and Philosophy of Physics · Physics 2019-10-22 Stephen Boughn

We explore the implications of restricting the framework of quantum theory and quantum computation to finite fields. The simplest proposed theory is defined over arbitrary finite fields and loses the notion of unitaries. This makes such…

Quantum Physics · Physics 2015-03-19 Andrew J. Hanson , Gerardo Ortiz , Amr Sabry , Jeremiah Willcock

Three recent arguments seek to show that the universal applicability of unitary quantum theory is inconsistent with the assumption that a well-conducted measurement always has a definite physical outcome. In this paper I restate and analyze…

Quantum Physics · Physics 2018-10-17 Richard A. Healey

We revisit the vexed question of how unpredictability can arise in a deterministic universe, focusing on unitary quantum theory. We discuss why quantum unpredictability is irrelevant for the possibility of what some people call `free-will',…

History and Philosophy of Physics · Physics 2022-10-18 Chiara Marletto , Vlatko Vedral