RELATIVITY! (Invariance
Theory!)
![](data:image/jpeg;base64,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) |
Inertial frames of
reference!
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In 1905 Albert Einstein (1879
- 1955) published 4
papers on 4 totally different topics, each of which
broke new ground in physics, and each of which deserved
(but didn't get) a separate Nobel Prize! |
Like most physicists at the dawn of
the 20th Century, Einstein was aware that Newton's Laws and
Maxwell's Equations were inconsistent. Something had to give,
but what? He decided to make two postulates that seemed to be
well justified by both theory and experiment, and to see where
those postulates led him.
(1) All the laws of physics
should have the same form in all inertial frames of reference.
(2) The speed of light in vacuum is a universal constant,
independent of the motion of source or observer, or frame of
reference.
Immediate consequence: two
events or processes which occur simultaneously as seen by one
observer will not be seen to occur simultaneously as seen by any
other observer in any other inertial frame of reference!
This means we will have to be
very careful in thinking about how to write laws of physics that
have the same form as seen by all inertial observers... the laws
can't depend on expecting all observers to see the same
processes happen the same way!! A little thought will show
that observers in different inertial frames will not agree on
the time interval between two events, and correspondingly will
not agree on the distance between the two events! In fact
it is these disagreements on time and distance intervals that
guarantee observers in different inertial frames will agree on
the speed of light!
SOME ANIMATIONS
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