SR vs. GR: Unraveling the Differences in These Two Theories of Relativity

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SUMMARY

Special Relativity (SR), introduced in 1905, focuses on the relative perception of time and motion, emphasizing concepts such as E=mc² and the impossibility of exceeding the speed of light. General Relativity (GR), established in 1915, expands upon SR by providing a framework for understanding gravity as the curvature of space-time caused by mass. While GR is a more comprehensive theory that encompasses SR as a special case, both theories are referenced separately due to their distinct applications in physics. SR addresses phenomena like time dilation and velocity addition, whereas GR explains gravitational effects and cosmic events like gravitational lensing.

PREREQUISITES
  • Understanding of basic physics concepts, including motion and velocity.
  • Familiarity with Einstein's equation E=mc².
  • Knowledge of Newton's law of universal gravitation.
  • Basic comprehension of space-time and its implications in physics.
NEXT STEPS
  • Research the implications of time dilation in high-speed travel.
  • Explore gravitational lensing and its significance in astrophysics.
  • Study the twin paradox and its resolution within the framework of relativity.
  • Investigate the expansion of the universe and its relationship to general relativity.
USEFUL FOR

Students of physics, educators, and anyone interested in understanding the fundamental differences between Special and General Relativity and their applications in modern science.

lmoh
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What is the difference between both theories?

From what I've heard, GR replaces SR as the more correct theory, but if that is so, then why do we still refer to SR and GR separately, rather than just refer to GR?

(Don't have much of the physics background, so I would appreciate it if people give answers that even a layman like me could understand.)
 
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Special relativity was first (1905) and deals with how motion, the perception of time and velocity are relative not absolute and dependent on the relative velocity of the observers. This includes E=mc^2, the way time is experienced differently by different observers moving at different fractions of the speed of light, the way that velocities add and thus how no particle with mass can ever go (or exceed) the speed of light, etc.

General relativity (1915) is a theory of gravity which replaces Newton's universal law of gravity (and reduces to it for large distances) and is a mathematical framework that describes how space-time is curved and bent by the presence of mass and how this structure effects the motion of particles. It is called general relativity because its solution in flat space (i.e. ones with no masses around) reduces to the equations of special relativity, thus special relativity is a "special" case of general relativity.

Thus, if people are talking about: Atomic clocks on space-ships not experiencing the same time, the twin-paradox, the inability to exceed the speed of light, the contraction of an object as it approaches the speed of light, etc. They're talking about special relativity.

If people are talking about: Space-time curvature due to a star or a planet, the bending of light around a star, planet or galaxy (gravitational lensing), the expansion of the universe, the big bang, etc. They're talking about general relativity.
 
that was a very good answer. Better than I've seen in any textbook.
 

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