Walker promoted the charge that Albert Einstein "stole" special relativity from his first wife, Mileva Marić. Walker believed that a quantum observer theory could explain paranormal phenomena. In 1979, Walker and Richard Mattuck published a parapsychology paper proposing a quantum explanation for psychokinesis. Physicist Victor J. Stenger wrote that their explanation contained assumptions, not supported by any scientific evidence. According to Stenger their paper is "filled with impressive looking equations and calculations that give the appearance of placing psychokinesis on a firm scientific footing... Yet look what they have done. They have found the value of one unknown number that gives one measured number. This is numerology, not science." Martin Gardner noted that Walker's parapsychological work was not supported by any scientific evidence and his quantum mechanical calculations to explain paranormal phenomena and God were an example of pseudoscience. In 2000, Walker published The Physics of Consciousness. The book attempts to describe how quantum mechanical processes may be responsible for the creation of human consciousness. According to a review Walker believed something of us survives death and the book "opens the door to paranormal phenomena and God as Quantum Mind."
"Science/Consciousness/Religion," Science of Mind 47, 34—43, 1974.
"Consciousness and Quantum Physics," in Future Science, Anchor Press/Doubleday, 1977.
"Quantum Mechanical Tunneling in Synaptic and Ephaptic Transmission, Int. J. Quantum Chemistry 11, 103—127, 1977.
"The Compleat Quantum Mechanical Anthropologist," in Parapsychology and Anthropology, Scarecrow Press, Metuchen, NJ, 1977.
"The Action of Consciousness on Matter: A Quantum Mechanical Theory of Psychokinesis". In "The Iceland Papers: Select Papers on Experimental and Theoretical Research on the Physics of Consciousness: Frontiers of Physics Conference". Reykjavik, Iceland November 1977 edited by Andrija Puharich. pp. 111–159. Amherst WI: Essentia Research Associates, 1979.
"The Quantum Theory of Psi Phenomena," Psychoenergetic Systems 3, 259—299, 1979.
"Matching Bits with the Computer," Psychology Today 15, p 108, June 1981.
"Book Review: Mind at Large by C. T. Tart, H. E. Puthoff, and R. Targ," J. Parapsychology, Dec. 1981.
"Book Review: The Role of Consciousness in the Physical World by Robert Jahn," Parapsychological Review 13, # 4, 18—21, 1982.
"Quantum Mechanics and Consciousness," J. Indian Psychology 4, No. 2, 21—26, 1985.
"Information Measures in Quantum Mechanics," Physica B 151, 332—338, 1988.
"Testing Schrödinger's paradox with a Michelson Interferometer,", Physica B 151, 339—348, 1988.
"The Quantum Theory of Consciousness," The Noetic Journal, Vol. 1 #1, June 1997, pp 100–107.
Book: The Physics of Consciousness, Perseus Press: Boston, MA. Published January, 2000.
"The Natural Philosophy and Physics of Consciousness," in The Physical Nature of Consciousness, edited by Philip Van Loocke, John Benjamins Amsterdam/Philadelphia pp. 63–82, 2001.
