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  2. List of relativistic equations - Wikipedia

    en.wikipedia.org/wiki/List_of_relativistic_equations

    To derive the equations of special relativity, one must start with two other The laws of physics are invariant under transformations between inertial frames. In other words, the laws of physics will be the same whether you are testing them in a frame 'at rest', or a frame moving with a constant velocity relative to the 'rest' frame.

  3. Special relativity - Wikipedia

    en.wikipedia.org/wiki/Special_relativity

    The consequences of special relativity can be derived from the Lorentz transformation equations. [26] These transformations, and hence special relativity, lead to different physical predictions than those of Newtonian mechanics at all relative velocities, and most pronounced when relative velocities become comparable to the speed of light.

  4. Einstein field equations - Wikipedia

    en.wikipedia.org/wiki/Einstein_field_equations

    These equations, together with the geodesic equation, [8] which dictates how freely falling matter moves through spacetime, form the core of the mathematical formulation of general relativity. The EFE is a tensor equation relating a set of symmetric 4 × 4 tensors. Each tensor has 10 independent components.

  5. Formulations of special relativity - Wikipedia

    en.wikipedia.org/wiki/Formulations_of_special...

    Taiji relativity is a formulation of special relativity developed by Jong-Ping Hsu and Leonardo Hsu. [ 1 ] [ 11 ] [ 12 ] [ 13 ] The name of the theory, Taiji , is a Chinese word which refers to ultimate principles which predate the existence of the world.

  6. Derivations of the Lorentz transformations - Wikipedia

    en.wikipedia.org/wiki/Derivations_of_the_Lorentz...

    In the fundamental branches of modern physics, namely general relativity and its widely applicable subset special relativity, as well as relativistic quantum mechanics and relativistic quantum field theory, the Lorentz transformation is the transformation rule under which all four-vectors and tensors containing physical quantities transform from one frame of reference to another.

  7. Length contraction - Wikipedia

    en.wikipedia.org/wiki/Length_contraction

    In special relativity, Poincaré transformations are a class of affine transformations which can be characterized as the transformations between alternative Cartesian coordinate charts on Minkowski spacetime corresponding to alternative states of inertial motion (and different choices of an origin).

  8. Classical electromagnetism and special relativity - Wikipedia

    en.wikipedia.org/wiki/Classical_electromagnetism...

    Maxwell's equations, when they were first stated in their complete form in 1865, would turn out to be compatible with special relativity. [1] Moreover, the apparent coincidences in which the same effect was observed due to different physical phenomena by two different observers would be shown to be not coincidental in the least by special ...

  9. Postulates of special relativity - Wikipedia

    en.wikipedia.org/wiki/Postulates_of_special...

    1. First postulate (principle of relativity) The laws of physics take the same form in all inertial frames of reference.. 2. Second postulate (invariance of c) . As measured in any inertial frame of reference, light is always propagated in empty space with a definite velocity c that is independent of the state of motion of the emitting body.