Many-minds interpretations of quantum theory are many-worlds interpretations in which it is argued that the distinction between worlds should be made at the level of the structure of the individual observer.

This site contains copies of a series of papers in which I have developed a technically-sophisticated many-minds interpretation, which gives explicit definitions to the crucial concepts. Thus the physical structure of “observers” and their temporal and probabilistic development are explicitly characterized. The theory is compatible with special relativity theory, with quantum field theory, and with the macroscopic and thermal nature of observers.

The site also contains:

• some introductory and non-technical starting points,
• some supplementary and related papers,
• some expository material, including this page which is essentially independent of the rest of the site and is designed to help readers understand quantum non-locality by playing with simulations,
• some books reviews and some comments on relevant books and papers,
• a photograph of me. A more recent photograph and some information about me are here, and links to some of my other papers are here.

• A transcript of an after-dinner talk “From Quantum Theory to Philosophical Idealism” given to fellows of Churchill College and their guests in December 2014.

• Answers to some Frequently Asked Questions.

• A brief non-technical Summary of my theory.

• “Why A Many-Minds Interpretation of Quantum Theory?”   Notes for an October 2004 seminar introducing the many-minds idea and discussing the mind-body problem in a framework in which the identification of the body is uncertain.

• “Quantum Theory and the Brain”, Proceedings of the Royal Society (London) Series A, Volume 427, pages 43-93 (1990), abstract, pdf (52 pages).

• “A Priori Probability and Localized Observers”, Foundations of Physics, Volume 22, pages 1111-1172 (1992), abstract, pdf (53 pages).

• “A Mathematical Characterization of the Physical Structure of Observers”, Foundations of Physics, Volume 25, pages 529-571 (1995), abstract, pdf (37 pages).

• “On Many-Minds Interpretations of Quantum Theory”, quant-ph/9703008, abstract, HTML, pdf (16 pages).

• “Progress in a Many-Minds Interpretation of Quantum Theory”, quant-ph/9904001, abstract, pdf (63 pages).

• “Neural Unpredictability, the Interpretation of Quantum Theory, and the Mind-Body Problem”, quant-ph/0208033, abstract, HTML, pdf (27 pages).

• “Probabilities for Observing Mixed Quantum States given Limited Prior Information”, from “Quantum Communications and Measurement”, pages 411-418, edited by V.P. Belavkin, O. Hirota, and R.L. Hudson, Plenum (1995), abstract, pdf (8 pages).

• “On the Relative Entropy”, Communications in Mathematical Physics, Volume 105, pages 13-34 (1986), abstract. An open access pdf of this paper (22 pages 1935K) is available through this project Euclid document record.

• “Continuity and Discontinuity of Definite Properties in the Modal Interpretation”, by G. Bacciagaluppi, M.J. Donald, and P.E. Vermaas, Helvetica Physica Acta, Volume 68, pages 679-704 (1995), abstract, pdf (26 pages).

• “Discontinuity and Continuity of Definite Properties in the Modal Interpretation”, from “The Modal Interpretation of Quantum Mechanics”, pages 213-222, edited by D. Diecks and P.E. Vermaas, Kluwer (1998), abstract, pdf (10 pages).

• “Finitary and Infinitary Mathematics, the Possibility of Possibilities and the Definition of Probabilities”, quant-ph/0306201, abstract, pdf (21 pages).

• “Instability, Isolation, and the Tridecompositional Uniqueness Theorem”, quant-ph/0412013, abstract, pdf (20 pages).

• “A Proof of Everett's Correlation Conjecture”, abstract, pdf (9 pages).

• Notes for a February 2007 seminar on “Realism, the Interpretation of Quantum Theory, and Idealism”.

• “A Simulation of Some Quantum Non-locality Theory.” October 2019. A page using javascript to demonstrate the kind of correlations which quantum theory tells us can exist between measurements of the spins of two spin one-half particles.

• Comments on some relevant, or significant, or recommended books. Author index.

• Comments on some relevant, or significant, or recommended papers available from the physics e-print archive. Author index.

• “A review of Johnjoe McFadden's book Quantum Evolution”, quant-ph/0101019, abstract, pdf (11 pages).

• “A review of Evan Harris Walker's book The Physics of Consciousness”, Psyche, Volume 7, abstract, HTML, pdf (5 pages).

• “A review of Orly Alter and Yoshihisa Yamamoto's book Quantum Measurement of a Single System”, abstract, pdf (3 pages).

• “On the work of Henry P. Stapp”, quant-ph/0311158, abstract, pdf (14 pages), debate.

• “We Are Not Walking Wave Functions. A response to Alexander Wendt's book Quantum Mind and Social Science”, Journal for the Theory of Social Behaviour, Volume 48, pages157-161, (2018), abstract, HTML, pdf (6 pages).