Einstein, the searcher : $b his work explained from dialogues with EinsteinMoszkowski, Alexander
Philosophy
Einstein, the searcher : $b his work explained from dialogues with Einstein
Moszkowski, Alexander
Einstein, Albert, 1879-1955; Relativity (Physics)
But what is to happen if the new truth should be built up of very
comprehensive materials, when it requires many links, of which none can
be omitted if the truth is to be made intelligible? Would Kirchhoffs
quarto page still be sufficient?
"Certainly," said Einstein, "provided, of course, that it is addressed
to a reader who has already mastered what went before--that is, to one
who is so far acquainted with the older facts that he has to learn only
the really new part of the new truth."
"That sounds very hopeful," I remarked, "for then it should also be
possible to describe very briefly the theory of relativity."
"Let us rather say its essentials--the heart of the matter. Well, then,
get your Kirchhoff page ready. We shall see whether we can set out on it
the special theory of relativity."
The totality of our experience compels us to assume that light travels
with a constant velocity in empty space. Likewise, our whole experience
in optics compels us to recognize that all inertial systems are
equivalent; these are systems that are produced from an allowable one by
means of a uniform translation. An allowable system is one in which
Galilei's and Newton's Law of Inertia holds. (This law states that a
moving body that is left to itself retains its direction and velocity
permanently.)
Now, the law of the constancy of light propagation seems to conflict
with the classical principle of relativity, according to which the
velocity of a ray of light assumes different values in the moving system
according to the direction of the ray.
This apparent incompatibility arises from the following unproved
assumptions:
(_a_) If two events are simultaneous with regard to one inertial system,
they are also simultaneous with regard to any other inertial system.
(_b_) The length of a measuring-rod, the shape and size of a rigid body,
and the rate of a clock are independent of their motion with respect to
the system of reference used, provided this motion is rectilinear and
non-rotational.
These assumptions must be discarded if this disagreement is to be
eliminated. If we substitute for them the assumption that all inertial
systems are equivalent and that the velocity of light _in vacuo_ is
constant, we get:
(1) That the dimensions of bodies and the rate of clocks have a
functional relation to the motion.
(2) That the equations of motion of Newton require to be modified; this
modification leads to results that, for rapid motions, differ
appreciably from those of Newton.
This is, in a very compressed form, the meaning of the special theory of
relativity.
As there is still some space left on our quarto page, we may add a
remark that, it is hoped, will make a little clearer the above-mentioned
discrepancy.
Public-domain text, read in full here on John Shaqi.
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