The logic of modern physicsBridgman, P. W. (Percy Williams)
Philosophy
The logic of modern physics
Bridgman, P. W. (Percy Williams)
Physics -- Philosophy
There is thus a closest connection in time, when time is extended over
space as the theory of relativity directs, between cause and effect,
depending on their separation in space; from this arises the relativity
concept of the causal cone, which in the four dimensional manifold of
space-time divides the aggregate of all those events which may be
causally related from the aggregate of those which are separated by such
a small interval in time and such a large interval in space that
communication by light signals and therefore a causal connection is not
possible. Given now two events A and B which are related as cause to
effect in one system of reference, then they must be causally related
also in every other system of reference. For if they were not, we could
by definition of causality suppress the event A in one of the systems in
which the causal relation does not hold, and this, because of the nature
of the concept of event, involves suppressing A in all the systems, thus
violating our hypothesis of a causal connection in the original system.
The concept of event involved in this argument will be examined later. It
appears then, that the fundamental postulate of relativity (that the
form of natural laws is the same in all reference systems) demands that
the temporal order of events causally connected be the same in all
reference systems.
The whole universe at this present moment is often supposed to be
causally connected with all succeeding states. This means that if we
could repeat experience, starting from the same initial conditions, the
future course of events would always be found to be the same. The truth
of this conviction can never be tested by direct experiment, but it is
something at which we arrive by the usual physical process of successive
approximation. It is difficult to formulate precisely what we mean by
"present" state of the universe, and there is every reason to think that
such a formulation is not unique, but the concept contains the necessary
implication that none of the events constituting the "present" can be
causally connected. The events in distant places which constitute the
present must be separated by an interval of time less than time required
by light to travel between the two places.
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