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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.
the mass–energy equivalence formula which gives the energy in terms of the momentum and the rest mass of a particle. The equation for the mass shell is also often written in terms of the four-momentum ; in Einstein notation with metric signature (+,−,−,−) and units where the speed of light c = 1 {\displaystyle c=1} , as p μ p μ ≡ p ...
In physics, the energy–momentum relation, or relativistic dispersion relation, is the relativistic equation relating total energy (which is also called relativistic energy) to invariant mass (which is also called rest mass) and momentum. It is the extension of mass–energy equivalence for bodies or systems with non-zero momentum.
The equation is often written this way because the difference is the relativistic length of the energy momentum four-vector, a length which is associated with rest mass or invariant mass in systems. Where m > 0 and p = 0 , this equation again expresses the mass–energy equivalence E = m .
Once this mass difference, called the mass defect or mass deficiency, is known, Einstein's mass–energy equivalence formula E = mc 2 can be used to compute the binding energy of any nucleus. Early nuclear physicists used to refer to computing this value as a "packing fraction" calculation.
The law of conservation of mass and the analogous law of conservation of energy were finally generalized and unified into the principle of mass–energy equivalence, described by Albert Einstein's equation =. Special relativity also redefines the concept of mass and energy, which can be used interchangeably and are defined relative to the frame ...
The greatest energy source by far is matter itself, according to the mass–energy equivalence. This energy is described by E = mc 2, where c is the speed of light. In terms of density, m = ρV, where ρ is the volumetric mass density, V is the volume occupied by the mass.
Rest energy (also called rest mass energy) is the energy associated with a particle's invariant mass. [2] [3] The rest energy of a particle is defined as: =, where is the speed of light in vacuum. [2] [3] [4] In general, only differences in energy have physical significance. [5]