The logic of modern physicsBridgman, P. W. (Percy Williams)
Philosophy
The logic of modern physics
Bridgman, P. W. (Percy Williams)
Physics -- Philosophy
What now is the precise nature and significance of the general energy
concept? In the first place the conservation property of energy is one
of the simplest and most obvious of the properties of matter, so that in
this property of energy is seen a reason for ascribing to it certain of
the properties of matter, in particular and most important, that of
localization in space. We must recognize, however, that this idea of a
location in space is injected into the situation entirely by ourselves,
and corresponds to nothing directly given by the operations of
experiment. The idea has had a most important effect, however. Witness,
for instance, the importance ascribed to the discovery by Kelvin of a
function by which the total energy of an electric field can be
represented as distributed through space;[19] this was one of the most
important props of the medium point of view.
[Footnote 19: This function is ⅛π times the scalar product of
electric force and displacement. If Maxwell's definition of displacement
is adopted, the factor ⅛π is replaced by ½, and an accurate analogy
results between the energy stored in the ether and the elastic energy
stored in a bent spring.]
A more critical examination is likely to diminish considerably our
satisfaction with this naive analogy drawn between matter and energy.
With regard to matter, we may still be tolerably satisfied with our
ascription to matter of location in space, but it is quite different
with regard to conservation of matter. In just what sense is matter
conserved? Certainly not in terms of mass, as we at one time thought.
Nevertheless we undeniably have a feeling that there is some sort of
conservation property here, and are driven to formulate it badly in
terms of a hypothetically constant number of protons and electrons. I
have long thought that Newton was groping after some very similar idea
when he so far forgot himself as to define mass as quantity of matter, a
definition perfectly meaningless to a rigorous and unsympathetic
interpretation. On the other hand, whatever meaning may reside in our
idea of conservation of matter, it certainly is not, in at least one
important respect, like the conservation of energy. For the energy of an
isolated mechanical system is a function of the frame of reference in
which it is described; merely by giving velocity to the reference frame
and altering in no way the mechanical system we may change its kinetic,
and so its total, energy by any direct amount. This does not even
remotely resemble ordinary matter. I cannot see that the operations
which are equivalent to the energy concept justify us in saying more
than that energy is a property of a material system; the operations do
not seem to give any unique meaning to a location associated with
energy.
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