The Quantum of Continuity

The problem of continuum versus discreteness seems to be related to the issue of timeless existence and finiteness. The number of points in a line served as the pellucid floodgate which led to the development of Set Theory by Cantor at the end of the 19th century. It took almost some otherwise century to demonstrate the problematic nature of some of Cantors sentiment (Cohen completed Godels work in 1963). But continuity apprise be finite and the connection is, most times, misleading instead than illuminating.

Intuition tells us that the world is continuous and contiguous. This seems to be a landed estate of things which is devoid of characteristics other than its very existence. And yet, whenever we direct the microscope of scientific train at the world, we encounter quantized, segregated, distinct and discrete pictures. This atomization seems to be the natural state of things - why did evolution resort to the delusive perception of continuum? And how can a machine which is bound to be discrete by virtue of its naturalness - the brain - apprehend a continuum?

The continuum is an external, mental category which is imposed by us on our observations and on the resulting data. It serves as an idealized approximation of reality, a model which is asymptotic to the Universe as it is.



It gives rise to the concepts of quality, emergence, function, derivation, work out (force), interaction, fields, (quantum) measurement, processes and a host of other holistic ways of relating to our environment. The other pole, the quantized model of the world conveniently gives rise to the complementary color set of concepts : quantity, causality, observation, (classic) measurement, language, events, quants, units and so on.

The private, macroscopic, low velocity instances of our physical descriptions of the conception (theories) tend to be continuous. Newtonian time is equated to a river.

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