The logic of modern physicsBridgman, P. W. (Percy Williams)
Philosophy
The logic of modern physics
Bridgman, P. W. (Percy Williams)
Physics -- Philosophy
That there is a causal train started by A is particularly evident if A
and B are separated in space. Thus in the case of the bell, the impulse
given to the air by the vibration of the bell is propagated through the
air as an elastic wave, which thus constitutes the causal train of
events. The phenomenon of propagation is characteristic of causal
connections of a mechanical character, and is the justification for the
introduction of the time concept in connection with the causality
concept, where it now appears for the first time. It is evident that
when a disturbance is propagated to a distant point, the effect
_follows_ the cause in time, as time is usually measured.
We extend this result, and usually think that the effect _necessarily_
follows the cause. We now examine whether this is a necessary result of
the causality concept. If we are to talk about the time of events at
different places, we must have some way of setting clocks all over
space. If this is done arbitrarily, there is no necessary connection
between the local clock times of a cause and its effect, but
nevertheless the causality concept involves a certain temporal relation
even in this most general case. Suppose that event A takes place at
point 1 and its effect, event B, at point 2. We station a confederate at
2 who sends a light signal (or any other sort of signal) to 1, as soon
as the event B occurs at 2. Then it is a consequence of the nature of
the causality concept that the signal cannot arrive at 1 before event A
occurs. For if it did arrive before A, we should merely omit to perform
A, which by hypothesis is arbitrary, and entirely in our control, and
then our assumption would be violated that the system is such that the
event B occurs only when A also occurs. The same argument shows _a
fortiori_ that if the effect B occurs at the same place as its cause A,
it cannot precede it in time. I cannot see that the nature of the
causality concept imposes any further restriction on the time of B. The
restricted principle of relativity, however, in postulating that no
signal can be propagated faster than a light signal, virtually makes a
further assumption about the temporal connection of causally connected
events, namely, that the event B at 2 cannot occur before the arrival at
2 of a light signal which started from 1 at the instant that A occurred
at 1. For if B did occur earlier, we could use events A and B as a
signaling code, thus violating our hypothesis.
Public-domain text, read in full here on John Shaqi.
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