Theoretical researches in general relativity and observational data
from galactic astronomy combine in this volume in contributions to
one of the oldest questions of natural philosophy: Is the structure
of the physical world more adequately described by a continuous or
a discrete mode of representation? Since the days of the
Pythagoreans, this question has surfaced from time to time in
various guises in science as well as in philosophy. One of the most
bitterly contested and illuminating controversies between the
continuous and the discrete viewpoints is to be found in the wave
versus corpuscular description of optical phenom enae. This
controversy was not resolved to the satisfaction of most of its
protaganists until the development of the quantum theory. However,
several obscurities that still becloud the question suggest that
some deeper formulation may be necessary before more satisfactory
answers can be given 1. The firm establishment of the validity of
quantized structure and discrete energy distributions on the atomic
scale following the ideas of Max Planck, together with the apparent
absence of quan tization effect in astronomical and cosmic
structures leaves uncertainties concerning the role played by the
scale of the observer in perceiving or not perceiving discrete
distributions. Some of the metaphysical inter pretations and
implications of the quantum mechanics that have been made in recent
years 2 would be subject to revision if the existence of
discretized descriptions were to be established in astronomical and
cosmic structures."
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