The logic of modern physicsBridgman, P. W. (Percy Williams)
Philosophy
The logic of modern physics
Bridgman, P. W. (Percy Williams)
Physics -- Philosophy
Now of course it is a matter of the most
elementary experience that physical phenomena do exist which allow these
other independent operations. A body under stress is also in a state of
strain, which may be determined from the external deformations, or the
strain at internal points may be made more vividly real by those optical
effects of double refraction in transparent bodies which are now so
extensively used in model experiments, or if the stress is pushed beyond
a certain point, we have such new phenomena as permanent set or finally,
rupture.
We have, then, every reason to be satisfied with our construct of
stress. In the first place, from the formal point of view, it is a good
construct because there is a unique correspondence between it and the
physical data in terms of which it is defined; and in the second place
we have a right to ascribe physical reality to it because it is uniquely
connected with other physical phenomena, _independent of those which
entered its definition_. This last requirement, in fact, from the
operational point of view, amounts to nothing more than a definition of
what we mean by the reality of things not given directly by experience.
Since now in addition to satisfying the formal requirements, experience
shows that a stress is most useful in correlating phenomena, we are
justified in giving to this construct of stress a prominent place among
our concepts.
Consider now another construct, one of the most important of physics,
that of the electric field. In the first place, an examination of the
operations by which we determine the electric field at any point will
show that it is a construct, in that it is not a direct datum of
experience. To determine the electric field at a point, we place an
exploring charge at the point, measure the force on it, and then
calculate the ratio of the force to the charge. We then allow the
exploring charge to become smaller and smaller, repeating our
measurement of force on each smaller charge, and define the limit of the
ratio of the force to the charge as the electric field intensity at the
point in question, and the limiting direction of the force on a small
charge as the direction of the field. We may extend this process to
every point of space, and so obtain the concept of a field of force, by
which every point of the space surrounding electric charges is tagged
with the appropriate number and direction, the exploring charge having
completely disappeared. The field is, then, clearly a construct. Next,
from the formal point of view of mathematics, it is a good construct,
because there is a one to one correspondence between the electric field
and the electric charges in terms of which it is defined, the field
being uniquely determined by the charges, and conversely there being
only one possible set of charges corresponding to a given field. Now
nearly every physicist takes the next step, and ascribes physical
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