Abstract
A correspondence is established between a tangible model of brain structure (and function) and a system of observer-observed interactions. The observed quantities are “stimuli” in the form of signal amplitude distributions in a mass of neuron-like units; the observer is a set of neurons (not circumscribed in a local region) in which a distributed parameter mirrors the stimulus history of the set, i.e., represents a “memory”. Utilizing the theory of the Perceptron, a contemporary brain model, it is demonstrated that large systems composed of many observer-observed interactions exhibit quantum mechanical behavior on a “macroscopic” scale. This behavior entails wave-like phenomena and the need of applying the superposition mechanics to system information content calculations.
Similar content being viewed by others
Literature
Bellman, R. 1961.Adaptive Control Processes. Princeton, N.J.: Princeton University.
Beurle, R. L. 1962Aspects of the Theory of Artificial Intelligence. C. A. Muses, New York: Plenum, 19.
Farley, B., and W. A. Clark. 1954.IRE Trans. on Information Theory,IT-4, 76.
Fessard, A. 1961.Sensory Communication. W. Rosenblith, Ed. New York: Wiley Press, 585.
Freud, S. 1896.Origins of Psycho-Analysis. New York: Basic Press.
Gerard, R. W. 1960.Handbook of Physiology Neurophysiology,III. Washington, D.C.: A.P.S.
Lande, A. 1955.Foundations of Quantum Theory. New Haven, Conn.: Yale University Press.
— 1956.Amer. J. Physics,24, 56.
— 1957.Phys. Rev.,108, 891.
Lashley, K. S. 1929.Brain Mechanisms and Intelligence. Chicago, Ill.: University of Chicago Press.
Rapaport, A. 1950.Bull. Math. Biophysics,12, 109.
Rashevsky, N. 1938.Mathematical Biophysics. Chicago, Ill.: University of Chicago Press.
Rochester, N. 1956.IRE Trans. on Information Theory.IT-2.
Rosenblatt, F. 1959.Mechanisation of Thought-Processes.1. London: H.M. Stationary Office, 419.
— 1962.Principles of Neurodynamics. Washington, D.C.: Spartan Press.
Shimbel, A. 1950.Bull. Math. Biophysics. 12, 241.
Uttley, A. M. 1958.Proc. 1st Int’l. Congress on Cybernetics. Namur, Belgium, 830.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bernhard, R. Correlation “waves” in brain-like structures. Bulletin of Mathematical Biophysics 27, 435–447 (1965). https://doi.org/10.1007/BF02476848
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02476848