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231 REDISCOVERING TIME<br />

that, at the time of the formation of matter, the universe had to<br />

be in n{)nequilibrium conditions, for at equilibrium the law of<br />

mass action discussed in Chapter V would have required equal<br />

amounts of matter and antimatter.<br />

What we want to emphasize here is that nonequilibrium has<br />

now acquired a new, cosmological dimension. Without nonequilibrium<br />

and without the irreversible processes linked to it,<br />

the universe would have a completely different structure.<br />

There would be no appreciable amount of matter, only some<br />

fluctuating local excesses of matter over antimatter, or vice<br />

versa.<br />

From a mechanistic theory that was modified to account for<br />

the existence of the universal constant h, quantum theory has<br />

evolved into a theory of mutual transformations of elementary<br />

particles. In recent attempts to formulate a "unified theory of<br />

elementary particles" it has even been suggested that all particles<br />

of matter, including the proton, are unstable (however, the<br />

lifetime of the proton would be enormous, of the order of 1 Q 3 0<br />

years). Mechanics, the science of motion, instead of corresponding<br />

to the fundamental level of description, becomes a<br />

mere approximation, useful only because of the long lifetime<br />

of elementary particles such as protons.<br />

Relativity theory has gone through the same transformations.<br />

As we mentioned, it started as a geometric theory that<br />

strongly emphasized timeless features. Today it is the main<br />

tool for investigating the thermal history of the universe, for<br />

providing clues to the mechanisms that led to the present<br />

structure of the universe. The problem of time, of irreversibility,<br />

has therefore acquired a new urgency. From the field of<br />

engineering, of applied chemistry, where it was first formulated,<br />

it has spread to the whole of physics, from elementary<br />

particles to cosmology.<br />

From the perspective of this book, the importance of quantum<br />

mechanics lies in its introduction of probability into microscopic<br />

physics. This should not be confused with the stochastic<br />

processes that describe chemical reactions as discussed in<br />

Chapter V. In quantum mechanics, the wave function evolves<br />

in a deterministic fashion, except in the measurement process.<br />

We have seen that in the fifty years since the formulation of<br />

quantum mechanics the study of nonequilibrium processes<br />

has revealed that fluctuations, stochastic elements, are impor-

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