Vibrations: communication through a morphic field
Rev. 1.0 of 09 December 1996

by

Ralph H. Abraham, abraham@vismath.org
Visual Math Institute, http://www.vismath.org
POB 7920, Santa Cruz, CA, USA-95061-7920

Abstract.

This is a progress report on the computer simulation of a mathematical model for a morphic field. The model is a two-dimensional lattice of oscillators derived from the d'Alembertian wave equation by spatial discretization. The communication is between two clamped objects inserted into the field. A change of shape in one of them sets off a transient wave which perturbs the boundary field of the other one after a brief delay. Unlike radio propagation, this is a static monopole transmission.

CONTENTS

  1. Introduction
  2. Vibrations and morphogenesis
  3. Reaction-diffusion models
  4. Wave-diffusion models
  5. Simulation results
  6. Conclusion
    Acknowledgments
    Bibliography

Figure