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  2. Mass–energy equivalence - Wikipedia

    en.wikipedia.org/wiki/Mass–energy_equivalence

    Mass near the M87* black hole is converted into a very energetic astrophysical jet, stretching five thousand light years. In physics, mass–energy equivalence is the relationship between mass and energy in a system's rest frame, where the two quantities differ only by a multiplicative constant and the units of measurement.

  3. Energy–momentum relation - Wikipedia

    en.wikipedia.org/wiki/Energy–momentum_relation

    Since m 0 does not change from frame to frame, the energy–momentum relation is used in relativistic mechanics and particle physics calculations, as energy and momentum are given in a particle's rest frame (that is, E ′ and p ′ as an observer moving with the particle would conclude to be) and measured in the lab frame (i.e. E and p as ...

  4. Pair production - Wikipedia

    en.wikipedia.org/wiki/Pair_production

    The photon's energy is converted to particle mass in accordance with Einstein's equation, E = mc 2; where E is energy, m is mass and c is the speed of light. The photon must have higher energy than the sum of the rest mass energies of an electron and positron (2 × 511 keV = 1.022 MeV, resulting in a photon wavelength of 1.2132 pm ) for the ...

  5. Mass in special relativity - Wikipedia

    en.wikipedia.org/wiki/Mass_in_special_relativity

    The relativistic expressions for E and p obey the relativistic energy–momentum relation: [12] = where the m is the rest mass, or the invariant mass for systems, and E is the total energy. The equation is also valid for photons, which have m = 0 : E 2 − ( p c ) 2 = 0 {\displaystyle E^{2}-(pc)^{2}=0} and therefore E = p c {\displaystyle E=pc}

  6. Einstein field equations - Wikipedia

    en.wikipedia.org/wiki/Einstein_field_equations

    As the field equations are non-linear, they cannot always be completely solved (i.e. without making approximations). For example, there is no known complete solution for a spacetime with two massive bodies in it (which is a theoretical model of a binary star system, for example). However, approximations are usually made in these cases.

  7. Why Does E=mc²? - Wikipedia

    en.wikipedia.org/wiki/Why_Does_E=mc²?

    Why Does E=mc²? (And Why Should We Care?) is a 2009 book by the theoretical physicists Brian Cox and Jeff Forshaw . [ 1 ] This was the first full-scale book from Professors Cox and Forshaw.

  8. Ultrarelativistic limit - Wikipedia

    en.wikipedia.org/wiki/Ultrarelativistic_limit

    Below are few ultrarelativistic approximations when .The rapidity is denoted : ⁡ Motion with constant proper acceleration: d ≈ e aτ /(2a), where d is the distance traveled, a = dφ/dτ is proper acceleration (with aτ ≫ 1), τ is proper time, and travel starts at rest and without changing direction of acceleration (see proper acceleration for more details).

  9. Help:Displaying a formula - Wikipedia

    en.wikipedia.org/wiki/Help:Displaying_a_formula

    This screenshot shows the formula E = mc 2 being edited using VisualEditor. The window is opened by typing "<math>" in VisualEditor. The window is opened by typing "<math>" in VisualEditor. The visual editor shows a button that allows to choose one of three offered modes to display a formula.