Simon Saunders

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Simon Saunders
Simon Saunders.jpeg
Professor Saunders at the 1st Ockham Debate, held at the T.S.Eliot Lecture Theatre, Merton College, on 13 May 2013
Born (1954-08-30) 30 August 1954 (age 69)
London
NationalityBritish
Alma mater University of Oxford
Christ's College, Cambridge
King's College, London
Era Contemporary philosophy
Region Western philosophy
School Analytic philosophy
Institutions University of Oxford
Thesis Mathematical and Philosophical Foundations of Quantum Field Theory  (1989)
Doctoral advisor Michael Redhead
Doctoral studentsinclude Sherrilyn Roush
Main interests
Philosophy of physics, philosophy of science

Simon Wolfe Saunders (born 30 August 1954) is a British philosopher of physics. He is noted for his work on quantum mechanics (particularly the many-worlds interpretation-the Everett interpretation), on identity and indiscernibility in physics, and on structural realism.

Contents

Saunders is currently Professor of Philosophy of Physics at the University of Oxford, and Fellow of Merton College, having moved to Oxford in 1996. He has previously held untenured posts at Harvard University (1990-1996), and temporary or visiting positions at Wolfson College, Oxford (1985–89), the Hebrew University of Jerusalem (1989-1990), Harvard (2001), École Polytechnique (2004), University of British Columbia (2005), Perimeter Institute (2005), and IMéRA (L’Institut Méditerranéen de Recherches Avancées) (2010). He is married to Kalypso Nicolaïdis; they have two children.

Education

Saunders was an early graduate of the Physics and Philosophy undergraduate degree at the University of Oxford. He then studied the part III Mathematics Tripos at Christ's College, Cambridge under Martin Rees, John Polkinghorne, and Peter Goddard, and completed his PhD at King's College, London in 1989 under the supervision of Michael Redhead. His thesis title was ‘Mathematical and Philosophical Foundations of Quantum Field Theory’. [1]

Contributions to philosophy

Saunders was an early champion [2] of 'structural realism', the view that mature physical theories correctly describe the structure of reality. Structural realism is today regarded by many philosophers as the most defensible form of realism. [3]

He was also amongst the first[ citation needed ] to draw attention to the consequences of decoherence for the many-worlds interpretation (MWI) of quantum mechanics; he defended a decoherence-based version of MWI in a series of articles throughout the 1990s. [4]

More recently, Saunders has worked extensively on the interpretation of probability in quantum mechanics. Along with David Deutsch and David Wallace, he has developed techniques for deriving the Born Rule, which relates quantum amplitudes to objective probabilities. He has applied these arguments to operational approaches to quantum mechanics [5] as well as to MWI. [6] In 2021 Saunders produced a branch counting derivation of the Born Rule. [7]

Saunders has also been a central figure in recent debates over identity and indiscernibility in physics[ citation needed ]. He was the first to apply the Hilbert-Bernays definition of identity in formal first-order languages to physical theories, both spacetime theories and quantum mechanics, [8] going on to show that elementary fermions and composite bosons in quantum theory satisfied the principle of identity of indiscernibles, using the Hilbert-Bernays definition of identity. [9]

In related work, he has argued that classical particles could be treated as indistinguishable in exactly the same way that quantum particles (and that departures from classical statistics can be traced to discrete nature of the measure—dimensionality—of subspace of Hilbert space), and applied this to the Gibbs paradox. [10]

Saunders has also developed a general framework for the treatment of symmetries whereby all symmetries, not only gauge symmetries, as applied to strictly closed systems, yield only redescriptions of the same physical state of affairs. In a slogan: 'only invariant properties and relations are physically real'. [11]

In addition, Saunders has worked on quantum field theory, on the philosophy of time, and on the history of physics; he has written numerous encyclopaedia articles and book reviews.

Publications

Books

Related Research Articles

<span class="mw-page-title-main">Many-worlds interpretation</span> Interpretation of quantum mechanics

The many-worlds interpretation (MWI) is a philosophical position about how the mathematics used in quantum mechanics relates to physical reality. It asserts that the universal wavefunction is objectively real, and that there is no wave function collapse. This implies that all possible outcomes of quantum measurements are physically realized in some "world" or universe. In contrast to some other interpretations, the evolution of reality as a whole in MWI is rigidly deterministic and local. Many-worlds is also called the relative state formulation or the Everett interpretation, after physicist Hugh Everett, who first proposed it in 1957. Bryce DeWitt popularized the formulation and named it many-worlds in the 1970s.

<span class="mw-page-title-main">Quantum mechanics</span> Description of physical properties at the atomic and subatomic scale

Quantum mechanics is a fundamental theory in physics that describes the behavior of nature at and below the scale of atoms. It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science.

Quantum suicide is a thought experiment in quantum mechanics and the philosophy of physics. Purportedly, it can falsify any interpretation of quantum mechanics other than the Everett many-worlds interpretation by means of a variation of the Schrödinger's cat thought experiment, from the cat's point of view. Quantum immortality refers to the subjective experience of surviving quantum suicide. This concept is sometimes conjectured to be applicable to real-world causes of death as well.

An interpretation of quantum mechanics is an attempt to explain how the mathematical theory of quantum mechanics might correspond to experienced reality. Although quantum mechanics has held up to rigorous and extremely precise tests in an extraordinarily broad range of experiments, there exist a number of contending schools of thought over their interpretation. These views on interpretation differ on such fundamental questions as whether quantum mechanics is deterministic or stochastic, local or non-local, which elements of quantum mechanics can be considered real, and what the nature of measurement is, among other matters.

Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with local hidden-variable theories, given some basic assumptions about the nature of measurement. "Local" here refers to the principle of locality, the idea that a particle can only be influenced by its immediate surroundings, and that interactions mediated by physical fields cannot propagate faster than the speed of light. "Hidden variables" are putative properties of quantum particles that are not included in quantum theory but nevertheless affect the outcome of experiments. In the words of physicist John Stewart Bell, for whom this family of results is named, "If [a hidden-variable theory] is local it will not agree with quantum mechanics, and if it agrees with quantum mechanics it will not be local."

In quantum mechanics, wave function collapse, also called reduction of the state vector, occurs when a wave function—initially in a superposition of several eigenstates—reduces to a single eigenstate due to interaction with the external world. This interaction is called an observation, and is the essence of a measurement in quantum mechanics, which connects the wave function with classical observables such as position and momentum. Collapse is one of the two processes by which quantum systems evolve in time; the other is the continuous evolution governed by the Schrödinger equation.

In philosophy, the philosophy of physics deals with conceptual and interpretational issues in modern physics, many of which overlap with research done by certain kinds of theoretical physicists. Historically, philosophers of physics have engaged with questions such as the nature of space, time, matter and the laws that govern their interactions, as well as the epistemological and ontological basis of the theories used by practicing physicists. The discipline draws upon insights from various areas of philosophy, including metaphysics, epistemology, and philosophy of science, while also engaging with the latest developments in theoretical and experimental physics.

<span class="mw-page-title-main">Quantum decoherence</span> Loss of quantum coherence

Quantum decoherence is the loss of quantum coherence, the process in which a system's behaviour changes from that which can be explained by quantum mechanics to that which can be explained by classical mechanics. Beginning out of attempts to extend the understanding of quantum mechanics, the theory has developed in several directions and experimental studies have confirmed some of the key issues. Quantum computing relies on quantum coherence and is the primary practical applications of the concept.

The transactional interpretation of quantum mechanics (TIQM) takes the wave function of the standard quantum formalism, and its complex conjugate, to be retarded and advanced waves that form a quantum interaction as a Wheeler–Feynman handshake or transaction. It was first proposed in 1986 by John G. Cramer, who argues that it helps in developing intuition for quantum processes. He also suggests that it avoids the philosophical problems with the Copenhagen interpretation and the role of the observer, and also resolves various quantum paradoxes. TIQM formed a minor plot point in his science fiction novel Einstein's Bridge.

In quantum physics, a measurement is the testing or manipulation of a physical system to yield a numerical result. A fundamental feature of quantum theory is that the predictions it makes are probabilistic. The procedure for finding a probability involves combining a quantum state, which mathematically describes a quantum system, with a mathematical representation of the measurement to be performed on that system. The formula for this calculation is known as the Born rule. For example, a quantum particle like an electron can be described by a quantum state that associates to each point in space a complex number called a probability amplitude. Applying the Born rule to these amplitudes gives the probabilities that the electron will be found in one region or another when an experiment is performed to locate it. This is the best the theory can do; it cannot say for certain where the electron will be found. The same quantum state can also be used to make a prediction of how the electron will be moving, if an experiment is performed to measure its momentum instead of its position. The uncertainty principle implies that, whatever the quantum state, the range of predictions for the electron's position and the range of predictions for its momentum cannot both be narrow. Some quantum states imply a near-certain prediction of the result of a position measurement, but the result of a momentum measurement will be highly unpredictable, and vice versa. Furthermore, the fact that nature violates the statistical conditions known as Bell inequalities indicates that the unpredictability of quantum measurement results cannot be explained away as due to ignorance about "local hidden variables" within quantum systems.

In quantum mechanics, the measurement problem is the problem of definite outcomes: quantum systems have superpositions but quantum measurements only give one definite result.

The Born rule is a postulate of quantum mechanics that gives the probability that a measurement of a quantum system will yield a given result. In its simplest form, it states that the probability density of finding a system in a given state, when measured, is proportional to the square of the amplitude of the system's wavefunction at that state. It was formulated and published by German physicist Max Born in July, 1926.

Abner Eliezer Shimony was an American physicist and philosopher. He specialized in quantum theory and philosophy of science. As a physicist, he concentrated on the interaction between relativity theory and quantum mechanics. He authored many works and research on complementarity in quantum entanglement as well as multiparticle quantum interferometry, both relating to quantum coherence. He authored research articles and books on the foundations of quantum mechanics. He received the 1996 Lakatos Prize for his work in philosophy of science. Shimony is also the author of Tibaldo and the Hole in the Calendar, a 1998 children's book about the calendar reform that has been translated into many languages.

In mathematical physics, Gleason's theorem shows that the rule one uses to calculate probabilities in quantum physics, the Born rule, can be derived from the usual mathematical representation of measurements in quantum physics together with the assumption of non-contextuality. Andrew M. Gleason first proved the theorem in 1957, answering a question posed by George W. Mackey, an accomplishment that was historically significant for the role it played in showing that wide classes of hidden-variable theories are inconsistent with quantum physics. Multiple variations have been proven in the years since. Gleason's theorem is of particular importance for the field of quantum logic and its attempt to find a minimal set of mathematical axioms for quantum theory.

Quasi-set theory is a formal mathematical theory for dealing with collections of objects, some of which may be indistinguishable from one another. Quasi-set theory is mainly motivated by the assumption that certain objects treated in quantum physics are indistinguishable and don't have individuality.

<span class="mw-page-title-main">Jeremy Butterfield</span> British philosopher (born 1954)

Jeremy Nicholas Butterfield FBA is a philosopher at the University of Cambridge, noted particularly for his work on philosophical aspects of quantum theory, relativity theory and classical mechanics.

An index list of articles about the philosophy of science.

This is a glossary for the terminology applied in the foundations of quantum mechanics and quantum metaphysics, collectively called quantum philosophy, a subfield of philosophy of physics.

Dennis Geert Bernardus Johan Dieks is a Dutch physicist and philosopher of physics.

<span class="mw-page-title-main">Quantum Bayesianism</span> Interpretation of quantum mechanics

In physics and the philosophy of physics, quantum Bayesianism is a collection of related approaches to the interpretation of quantum mechanics, the most prominent of which is QBism. QBism is an interpretation that takes an agent's actions and experiences as the central concerns of the theory. QBism deals with common questions in the interpretation of quantum theory about the nature of wavefunction superposition, quantum measurement, and entanglement. According to QBism, many, but not all, aspects of the quantum formalism are subjective in nature. For example, in this interpretation, a quantum state is not an element of reality—instead, it represents the degrees of belief an agent has about the possible outcomes of measurements. For this reason, some philosophers of science have deemed QBism a form of anti-realism. The originators of the interpretation disagree with this characterization, proposing instead that the theory more properly aligns with a kind of realism they call "participatory realism", wherein reality consists of more than can be captured by any putative third-person account of it.

References

  1. "Archived copy" (PDF). Archived from the original (PDF) on 2016-08-07. Retrieved 2013-09-14.{{cite web}}: CS1 maint: archived copy as title (link)
  2. ‘To What Physics Corresponds', in Correspondence, Invariance, and Heuristics; Essays in Honour of Heinz Post, S. French and H. Kaminga, (eds.), Kluwer Academic, p.295-326.
  3. Ladyman, James (January 10, 2014). "Structural Realism". Stanford Encyclopedia of Philosophy . Center for the Study of Language and Information.
  4. 1998b’Time, Quantum Mechanics, and Probability', Synthese , 114, p.405-44; 1996a ‘Time, Quantum Mechanics, and Tense', Synthese, 107, 19-53; 1995a ‘Time, Quantum Mechanics, and Decoherence', Synthese, 102, 235-66, 1995; 1994d ‘Decoherence and Evolutionary Adaptation', Physics Letters A 184, p.1-5; 1993a ‘Decoherence, Relative States, and Evolutionary Adaptation', Foundations of Physics, 23, 1553-1585.
  5. 2004a ‘Derivation of the Born Rule from Operational Assumptions’, Proceedings of the Royal Society A, 460, 1-18.
  6. 2005b ‘What is Probability?’, in Quo Vadis Quantum Mechanics, A. Elitzur, S. Dolev, and N. Kolenda, eds., Springer.
  7. Saunders, Simon (24 November 2021). "Branch-counting in the Everett interpretation of quantum mechanics". Proceedings of the Royal Society A. 477 (2255): 1–22. arXiv: 2201.06087 . Bibcode:2021RSPSA.47710600S. doi:10.1098/rspa.2021.0600. S2CID   244491576.
  8. 2003a: ‘Physics and Leibniz’s Principles’, in Symmetries in Physics: Philosophical Reflections, K. Brading and E. Castellani, eds., Cambridge University Press.
  9. 2008b (with F.A. Muller), ‘Distinguishing Fermions’, British Journal for the Philosophy of Science , 59, 499-548; 2006b ‘Are Quantum Particles Objects?’, Analysis , 66, 52-63.
  10. 2003d ‘Indiscernibles, General Covariance, and Other Symmetries: the Case for Non-reductive Relationalism', in Revisiting the Foundations of Relativistic Physics: Festschrift in Honour of John Stachel , A. Ashtekar, D. Howard, J. Renn, S. Sarkar, and A. Shimony, (eds.), Kluwer; 2006a ‘On the Explanation of Quantum Statistics’ [ permanent dead link ], Studies in History and Philosophy of Modern Physics, 37, 192-211
  11. 2003a: ‘Physics and Leibniz’s Principles’, in Symmetries in Physics: Philosophical Reflections, K. Brading and E. Castellani, eds., Cambridge University Press; 2003d ‘Indiscernibles, General Covariance, and Other Symmetries: the Case for Non-reductive Relationalism', in Revisiting the Foundations of Relativistic Physics: Festschrift in Honour of John Stachel, A. Ashtekar, D. Howard, J. Renn, S. Sarkar, and A. Shimony, (eds.), Kluwer.
  12. Hagar, Amit (15 October 2010). "Review of Many Worlds?: Everett, Quantum Theory, and Reality, edited by S. Saunders, J. Barrett, A. Kent, and D. Wallace". Notre Dame Philosophical Reviews.