Bibliography
Thomas D. Angelidis (1993), ‘On the problem of a local extension of the quantum
formalism’, Journal of Mathematical Physics 34, 1635
Hardly anyone pays any attention
to Angelidis. I suspect he may be onto something, but I'm just not sure..
Proceedings of the Athens Academy 66, 292
Thomas D. Angelidis (1998), ‘A Minimal Local Extension of the Quantum Formalism’ in Causality and Locality in Modern Physics, 451-462 (Kluwer Academic Publishers)
Alain Aspect et al (1982), ‘Experimental Tests of Bell’s Inequalities Using Time-Varying Analyzers’, Physics Review Letters 49, 1804-7Barut, van de Merwe and Vigier (1984) (eds), Quantum, Space and Time –
The Quest Continues
A fine and interesting collection of papers by a variety of physicists,
ranging from technical to popular-level.
James Baugh, ‘Qualification and Quantification of Entanglement’ at http://
James Baugh reckons the
Bell Inequality is a version of the Triangle Inequality, for a metric.
John Bell (1987), Speakable and Unspeakable in Quantum
Mechanics (collected papers on quantum philosophy), Cambridge University
Press
John Bell’s collected papers.
Bell wrote many essays about quantum physics, both mathematical and
philosophical.
Some of the papers colelcted
here, like his classic inequality proof, are highly technical, but others
are intended for
lay-people or scientists
new to these ideas, and are very readable.
Thomas Brody (1993), The Philosophy Behind Physics
(Springer-Verlag, Heidelberg Berlin)
No-one seems to have paid
any attention at all to Brody’s claim to have proven the inapplicability
of the Bell inequality
except one popular writer,
Hector Parr (see below). Perhaps this is because he is clearly wrong;
however I am not quite
sure how.
Mark Buchanan (1998a), ‘Quantum Teleportation’, New Scientist, 14 March 1998
Mark Buchanan (1998b), ‘Why God Plays Dice’, New Scientist, 22 August 1998 (cf. Popescu and Rohrlich)
Mark Buchanan (1999), 'An End To Uncertainty', New Scientist, 6 March
1999 (cf Dürr, Nonn & Rempe)
Fine summations of recent
work in New Scientist, as ever.
Hasok Chang and Nancy Cartwright (1993), Causality and Realism in the
EPR Experiment, Erkenntnis 38, 2
Cartwright and Chang think
Bell made a mistake by requiring factorisability in the probability distributions.
Raymond Y. Chiao, Paul G. Kwiat and Aephraim M. Steinberg (1993), Faster
than Light?, Scientific American, August 1993
Scientific American deals
with quantum entanglement and tunneling.
Marcus Chown (1998), 'All the world's a time machine', New Scientist, 7 March 1998, p. 8
Marcus Chown (1999), ‘Paradox lost’, New Scientist, 24 April 1999,
p.20
Regarding Mark Hadley’s
wonderful idea that quantum behaviour might be the result of subatomic
particles might be kinks – loops – in our (four-dimensional) spacetime.
John Cramer (1986), ‘The
Transactional Interpretation of Quantum Mechanics’, Reviews of Modern
Physics 58, 647
John Cramer’s interpretation
of quantum mechanics – a photon is formed by the interaction of two
waves – one travelling backwards in time, the other forward. Nice.
John Gribbin likes it (see Schrödinger’s
Kittens).
John Cramer (1988), ‘Paradoxes
and FTL Communication’, Analog Science Fiction & Fact Magazine,
September 1988
Cramer also writes popular
science, like this nugget.
John Cramer (1997), ‘Quantum Nonlocality and the Possibility of Superluminal Effects’ (presented at the NASA Breakthrough Propulsion Physics Workshop, Cleveland, OH, August 12-14, 1997 )
Paul C. W. Davies & J. R. Brown (1986), The Ghost in the Atom
(Cambridge University Press)
Paul Davies, a talented popular
science writer and theoretical physicist, interviews many of the leading quantum
physicists of
the day, with John Brown
of the BBC. A great little book, originally broadcast as a radio series.
S. Dürr, T.Nonn & G.Rempe (1999), 'Origin of
quantum mechanical complementarity probed by a "which-way" experiment
in an atom interferometer,' Nature vol. 295, p. 33
An experiment which appears
to support the notion that entanglement can explain things which people usually
explain wrongly by means of Heisenberg Uncertainty.
Arthur Fine (1982), ‘Hidden Variables, Joint Probability, and the Bell Inequalities’,
Physical Review Letters 48, 5, pp. 291-294
Fine argues that the Bell
Inequality doesn’t rule out hidden variables - in fact, he argues cogently
that they are quite
irrelevant.
Arthur Fine (1986), ‘Do Correlations need to be explained?’ in Cushing & McMullin, eds (1986), Philosophical Consequences of Quantum Theory: Reflections on Bell’s Theorem, University of Notre Dame Press
Gordon N. Fleming (1995), ‘Examining the compatibility of Special Relativity
and Quantum Theory,’ Stud. Hist. Phil. Mod Phys, 26, No. 3,
pp. 325-331
A review of Maudlin (1994)
Murray Gell-Mann (1994), The Quark and The Jaguar, Little, Brown and
Company, London
An well-written, eclectic journey through much of modern science, from
the originator of the quark. Gell-Mann is dismissive of suggestions
that the violation of Bell's Inequality implies action at a distance, or anything
of the sort.
John Gribbin (1995), Schrödinger’s Kittens
A wonderful overview of quantum mechanics and the history of science
leading up to and following its creation.
Gribbin maintains that it is impossible to escape Bell's Inequality
without invoking action at a distance, as Fine
has apparently shown..
John Gribbin (1996), ‘More
atoms communicate faster than light’ (only by web)
Gribbin reports that entanglement is ubiquitous, and not the small
and unimportant phenomenon it was once thought to be.
Mark Hadley (1997), ‘The
Logic of Quantum Mechanics Derived from Classical General Relativity’
Mark Hadley seeks to deduce quantum logic from a model within special
relativity, and hopes (as is argued elsewhere) that the rest of quantum physics
will naturally follow. His idea, briefly, is that what we see as subatomic
particles take the form of tiny four-dimensional loops conencting points in
the space-time continuum. More of a promising research project than
a fully-formed theory - it is vaguely hoped that details will follow later.
If Hadley is right, there will turn out to be no such thing as a graviton,
because quantum mechanics will be a result of the gravity-related effects
of general relativity as opposed to gravity being subsumed within quantum
mechanics, which is what many physicists are expecting.
Richard Healey (1997), ‘Nonlocality and the Aharonov-Bohm
Effect’, Philosophy of Science 64 pp.18-41
Healey argues that the Aharonov-Bohm Effect is just as likely as entanglement
to entail non-locality.
Grete Hermann (1935), Abhandlungen der Fries’schen
Schule 6, 75
The disproof of von Neumann's 1932 'proof' of the untenability of 'hidden
variables' theories of quantum mechanics, which seems to have bee ignored
completely for around forty years.
Federico Laudisa (1996), ‘Non-Locality: A defence of Widespread Beliefs’, Stud. Hist.Phil. Mod. Phys. 27, No.3, pp. 297-313
Federico Laudisa (1996), ‘Still in Defence: A Short Reply on Non-Locality and Widespread Beliefs’, Stud. Hist.Phil. Mod. Phys. 27, No.3, pp. 331-335
Federico Laudisa (1997), ‘Contextualism and Nonlocality in the Algebra of EPR Observables’, Philosophy of Science 64, pp. 478-496
Tim Maudlin (1994), Quantum Non-Locality and Relativity
(Oxford: Blackwell)
A classic summary and in-depth analysis of the field, at present only
available in hardback. Maudlin thinks the Bell inequality, and related
proofs like the GHZ experiment, give us little choice but to accept non-locality
- however, he stresses that faster-than-light signalling remains impossible.
Dugald Murdoch, Niels Bohr’s Philosophy of Physics
An exhaustive examination of its title matter. The author thinks Bohr's
interpretation of quantum mechanics provides a consistent alternative to non-local
interpretations.
Muynck, Willem M. de (1986), ‘The Bell Inequalities
and their Irrelevance to the Problem of Locality in Quantum Mechanics’, Physics
Letters A114, 65-67
One of de Muynck's earlier pieces arguing, as it says, for the irrelevance
of the Bell Inequalities to the problem of locality. Some people have
actually paid some attention to de Muynck, but it is still widely believed
that he is wrong.
Muynck, Willem M. de (1988), ‘On the Significance of the Bell Inequalities for the Locality Problem in Different Realistic Interpretations of Quantum Mechanics’, Annalen der Physik, 7. Folge 45, 222-234
Muynck, Willem M. de (1996), ‘Can We Escape from Bell’s Conclusion that Quantum Mechanics Describes a Non-Local Reality?’, Stud. Hist.Phil. Mod. Phys. 27, No.3, pp. 315-330
John von Neumann (1932), Mathematische Grundlagen
der Quantunmechanic (Berlin: Springer)
John von Neumann's classic work on the mathematics of quantum theory.
John Bell and Karl Popper both remarked that they found it more or less impenetrable.
Notarrigo, S. (1984), Nuovo Cim. 83B, 173
Hector Parr (1997), Time, Science and Philosophy (Lutterworth Press)
Hector Parr is the only writer I have found who thinks Thomas Brody
is onto something (to be honest, to date he is the only one I have found who
acknowledges his existence). This popular science work of his received
a favourable review in New Scientist, but I have not read it myself.
Hector Parr (1998), ‘Bell’s
Inequality’
One of several readable articles on Parr's web-site.
Michael Redhead (1987), Incompleteness, Nonlocality, and Realism: A Prolegomenon
to the Philosophy of Quantum Mechanics (Oxford: Clarendon Press)
Not as forbidding as it sounds. Worth a look.
Steven Savitt, ed. (1995), Time’s Arrow Today
(Cambridge: Cambridge University Press)
A fine collection of papers relating to time's arrow, only tangentially
connected with questions of non-locality in quantum physics. Includes
several highly readable popular pieces, and a number of technical ones which
are also interesting.
Scalera, G. C. (1983), Lett. Nuovo Cim. 38, 16
A classical model which seems to violate Bell's inequality.
Scalera, G. C. (1984), Lett. Nuovo Cim. 40, 353
Henry P. Stapp (1982), Physics Review Letters 49, 1470
Stapp was the first to show that Bell's inequality can be derived without
reference to hidden variables.
Henry P. Stapp (1986), ‘Quantum Nonlocality and the Description of Nature’
in Cushing & McMullin, eds (1986), Philosophical Consequences of Quantum
Theory: Reflections on Bell’s Theorem, University of Notre Dame Press
Suppes, P., Zanotti, M. (1981), Synthese 48, 191
A derivation of Bell's inequality using only probability theory, reproduced
in Brody.