Theories of Relativity

Kreyszig, Zill, Lopez, Library, Matlab, Wilson

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Explanation

Theory of Relativity by Albert Einstein, physicist

  • 1905: Special Theory of Relativity
  • 1907: Equivalence Principle & existence of space-time curvature
  • 1916: General Theory of Relativity
  • Albert Einstein shook the foundations of physics with the introduction of his Special Theory of Relativity in 1905, and his General Theory of Relativity in 1915 (Here is an example of a thought experiment in special relativity). The first showed that Newton's Three Laws of Motion were only approximately correct, breaking down when velocities approached that of light. The second showed that Newton's Law of Gravitation was also only approximately correct, breaking down in the presence of very strong gravitational fields.

Special Relativity

  • The two basic postulates of special relativity, 1905:
  1. The speed of light is the same for all observers, no matter what their relative speeds.
  2. The laws of physics are the same in any inertial (that is, non-accelerated) frame of reference. This means that the laws of physics observed by a hypothetical observer traveling with a relativistic particle must be the same as those observed by an observer who is stationary in the laboratory.

Equivalence Principle

  • Equivalence Principle & existence of space-time curvature, 1907:

... we shall therefore assume the complete physical equivalence of a gravitational field and the corresponding acceleration of the reference frame. This assumption extends the principle of relativity to the case of uniformly accelerated motion of the reference frame.

The principle of equivalence holds that forces produced by gravity are in every way equivalent to forces produced by acceleration, so that it is theoretically impossible to distinguish between gravitational and accelerational forces by experiment.

General Relativity

  • General Theory of Relativity, 1916: determination of space-time curvature
  • Newton's hypothesis that every object attracts every other object in direct proportion to its mass is replaced by the relativistic hypothesis that the continuum is curved in the neighborhood of massive objects.

  • Einstein's law of gravity states simply that the world line of every object is a geodesic in the continuum. A geodesic is the shortest distance between two points, but in curved space it is not generally a straight line. In the same way, geodesics on the surface of the earth are great circles, which are not straight lines on any ordinary map.

 

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