Glossary
Einstein's Principle of Equivalence


Galileo's Principle of Equivalence states that the inertial mass and gravitational mass of a body are equal.
  • The inertial mass mi determines how the body accelerates as a results of the application of any force (Newton's 2nd law)
  • The gravitational mass mg determines how the body "feels" a gravitational force and how much of a gravitational force it generates (Newton's law of gravitation)

En route to extending the Special Theory of Relativity to include gravity (culminating in the General Theory of Relativity), Albert Einstein picked up on this fact and realised that it implied that acceleration and gravity actually cannot be distinguished.

This led to Einstein's Principle of Equivalence
The Laws of Physics are the same in a uniformly accelerated reference frame as in a uniform gravitational field.
The whole of General Relativity rests on this fact.

The consequences of the Principle of Equivalence include

  • the effects of a gravitational force are indistinguishable from those present in an accelerated reference frame
  • there is an (accelerating) reference frame in which the effects of gravity are not experienced (falling elevator)
  • the path of light is "bent" by gravity
  • clocks run "slow" under the influence of gravity
    • gravitational "redshift" of light waves
  • gravity effects anything carrying energy (E=mc2)

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