The logic of modern physicsBridgman, P. W. (Percy Williams)
Philosophy
The logic of modern physics
Bridgman, P. W. (Percy Williams)
Physics -- Philosophy
We have also slurred over the ambiguities in "present" condition when
the system is spread over space. Probably a unique ascription of meaning
to "present" is not possible for an extended system, but at least one
possibility is indicated by relativity theory. Imagine a staff of
assistants distributed throughout space, each equipped with clocks
synchronized and set with the master clock by light signals in the
conventional manner, and each fully equipped with the necessary
measuring instruments. Then what we mean at this point of the argument
by "present" state of the system is the aggregate of all the information
about the _positions_ and _velocities_ of the ultimate elements which I
determine in my immediate vicinity at my origin of time plus the reports
of similar observations made by all the assistants, each local
observation being made at the time origin of each local clock.
Going back now to the main argument, we have shown that the feeling that
the present condition of the universe may be specified in terms of
positions and velocities arose from experience with purely mechanical
systems, and that the more general formulation, in which we add to the
velocities the higher time derivatives, applies only to systems in which
the ultimate elements move according to differential equations of higher
order than the second. Furthermore, our analysis seems to have shown
that systems in which there is radiation do not allow a determination of
the future in terms of a present condition specified in terms such as
these. It seems, however, that the general principle of the determinism
of the future by the present may be saved by a change in the definition
of what we mean by the present condition of the system, ridding it of
its mechanical and other special implications, and making more immediate
connection with direct experiment. Let us understand by present
condition of a system the aggregate of all information that can be
obtained by any physical means whatever, with any sort of physical
instrument, not attempting to get out of this analysis information about
hypothetical ultimate physical elements, with the proviso that the
measurements are to be made now, extending the concept of "now" to
points distant in space in the way intimated above. With such a general
definition of the meaning of "present" we can now deal with systems in
which there is radiation, noticing that our assistant observers must be
stationed throughout apparently empty space as well as in the
neighborhood of matter. That this does adequately cover the case of
radiation is suggested by considering again the two systems of dark
lanterns with screens and distant mirrors which we have previously
considered, in one system a light signal having been despatched 0.5
second ago and in the other 1.5 seconds ago. Our thesis demands that
there be some present difference in these two systems, because their
future history is different, in one of them a light signal arriving
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account