The logic of modern physicsBridgman, P. W. (Percy Williams)
Philosophy
The logic of modern physics
Bridgman, P. W. (Percy Williams)
Physics -- Philosophy
All this looks pretty mathematical, but as a matter of fact there is
much physical content, because systems which can be described by linear
equations of the second order have definite physical properties. The
requirement that the equations be linear corresponds to one of the most
fundamental properties of our universe--the causality concept would not
be possible or would be much modified in a universe governed by
non-linear equations, for the joint effect of two causes acting together
would not be the sum of their effects acting separately, so that the
analysis of a situation into simple elements would be impossible and the
causality concept probably would not have arisen. Furthermore, an
equation of the type of Poisson of the second order means that there are
propagation phenomena, and equations of mechanics of the second order
involve the existence of a scalar energy function. If, then, the
behavior of the universe can be described by differential equations at
all, these equations must be linear of the second order if the universe
is to have the broadest physical characteristics of our own universe.
What Einstein really did, therefore, was to demand that even when
space-time is warped by the presence of a gravitational field, those
physical phenomena which can be described in terms of differential
equations continue to be described by linear differential equations of
the second order; that is, that nature continues to be describable in
terms of a causality concept, with propagation phenomena, and a simple
energy function. The consequences of a guess like this about the
properties of nature appeal to our physical intuition as being worth
following out, and of course we know the experimental justification.
Public-domain text, read in full here on John Shaqi.
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