Abstract
Wigner's quantum mechanical formulation of the problem of biological replication is examined with special reference to DNA. His necessary condition for replication is that the number of independent equations in his formulation should not exceed the number of unknowns. Explicit hypotheses concerning the relevant collision matrix are proposed without assuming biotonic modifications of quantum mechanics. Schrödinger's description of the gene as a low-temperature solid, combined with the concept of template, is given mathematical expression which fails to satisfy Wigner's necessary condition. The condition is satisfied by a further specialization of the collision matrix, which also implies metabolic stability of the replicating unit. Such metabolic stability is in fact a distinguishing feature of the DNA molecule.
Similar content being viewed by others
References
E. Wigner, inThe Logic of Personal Knowledge, E. Shils, ed. (Routledge and Kegan Paul, London, 1961).
J. von Neumann, inThe Hixon Symposium, L. A. Jeffress, ed. (Wiley, New York, 1951).
A. Kornberg,DNA Synthesis (Freeman, San Francisco, 1974).
J. D. Watson,Molecular Biology of the Gene, 2nd ed. (Benjamin, New York, 1970).
M. Eigen,Naturwiss. 58, 465 (1971).
E. Schrödinger,What is Life? (Cambridge University Press, 1944).
W. J. Moore, inProteins in the Nervous System (Raven Press, New York, 1973).
J. von Neumann,Mathematische Grundlagen der Quantenmechanik (Julius Springer, Berlin, 1932).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bass, L. Biological replication by quantum mechanical interactions. Found Phys 7, 221–231 (1977). https://doi.org/10.1007/BF00709008
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00709008