From physical to biological time

Time is a primitive (i.e. fundamental) notion, and the various concepts ∗∗ ∗∗ A concept is a word that stands for a particular class of physical or ideal objects. A given notion can lead to various concepts, depending on the operational definition of each class of objects. Generally, physical theories do not incorporate, as such, simple primitive notions. They embody them into a network of mathematically related algorithms, that have in particular the effect of endowing these primitive notions with a metric (a prescription on how to measure their magnitude). Then, in ensemble theory wording, such equivalence classes like, for instance “time lapses of equal lengths” acquire a meaning. It is only then that we are entitled to speak of these physicalized notions as concepts (of mechanical time, etc.). that have been so far derived from this notion in various scientific domains do not cover all facets of it. Time in mechanics, either classical, quantal or relativistic, is devoid of directionality, the “arrow”, i.e. of irreversibility: these physical theories are fundamentally time reversible. Thermodynamics, however, does involve irreversibility, but only as an empirical observation, rather than as a fundamental law of nature (entropy decreasing processes are said to be very improbable, they are not said to be forbidden). In contrast with physics, the arrow of time is of a tremendous importance and effect in biology. For this reason here I will propose a notion of time that — contrary to the claim of several current epistemological schools — is both primitive and oriented. Time flow and irreversibility are indeed at the heart of phenomena of the generation and growth of biological order (in developing organisms), of phenomena of maintenance of organisms in their healthy adult age (it is suggested that the production and coordination of temporal cycles are as important and perhaps more important in understanding this maintenance than the usually emphasized phenomenon of homeostasis), and finally of phenomena of senescence, with their ultimate issue: death. In all these fields, life obeys — does not negate — the thermodynamic law of increase of entropy, as the development of irreversible processes thermodynamics allows us to understand it. Many biologists use the concept of entropy in a somewhat restricted, and sometimes misleading way, namely as a measure of disorder. But the relationship between entropy and disorder is more subtle than mere equivalence. In orde