What does mass–energy equivalence mean?

Definitions for mass–energy equivalence
mass–en·er·gy equiv·a·lence

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Wikipedia

  1. Mass–energy equivalence

    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 principle is described by the physicist Albert Einstein's famous formula: E = m c 2 {\displaystyle E=mc^{2}} . In a reference frame where the system is moving, its relativistic energy and relativistic mass (instead of rest mass) obey the same formula. The formula defines the energy E of a particle in its rest frame as the product of mass (m) with the speed of light squared (c2). Because the speed of light is a large number in everyday units (approximately 300000 km/s or 186000 mi/s), the formula implies that a small amount of "rest mass", measured when the system is at rest, corresponds to an enormous amount of energy, which is independent of the composition of the matter. Rest mass, also called invariant mass, is a fundamental physical property that is independent of momentum, even at extreme speeds approaching the speed of light. Its value is the same in all inertial frames of reference. Massless particles such as photons have zero invariant mass, but massless free particles have both momentum and energy. The equivalence principle implies that when energy is lost in chemical reactions, nuclear reactions, and other energy transformations, the system will also lose a corresponding amount of mass. The energy, and mass, can be released to the environment as radiant energy, such as light, or as thermal energy. The principle is fundamental to many fields of physics, including nuclear and particle physics. Mass–energy equivalence arose from special relativity as a paradox described by the French polymath Henri Poincaré (1854–1912). Einstein was the first to propose the equivalence of mass and energy as a general principle and a consequence of the symmetries of space and time. The principle first appeared in "Does the inertia of a body depend upon its energy-content?", one of his annus mirabilis papers, published on 21 November 1905. The formula and its relationship to momentum, as described by the energy–momentum relation, were later developed by other physicists.

Wikidata

  1. Mass–energy equivalence

    In physics — in particular, special and general relativity — mass–energy equivalence is the concept that the mass of a body is a measure of its energy content. In this concept, mass is a property of all energy; energy is a property of all mass; and the two properties are connected by a constant. This means that the total internal energy E of a body at rest is equal to the product of its rest mass m and a suitable conversion factor to transform from units of mass to units of energy. Albert Einstein proposed mass–energy equivalence in 1905 in one of his Annus Mirabilis papers entitled "Does the inertia of an object depend upon its energy-content?" The equivalence is described by the famous equation: where E is energy, m is mass, and c is the speed of light. The formula is dimensionally consistent and does not depend on any specific system of measurement units. Since there are different ways to define the mass of a body, E = mc² can indicate slightly different meanings. For instance, m or m0 is called the invariant mass or rest mass of a body, which is related to the rest energy by E0 = m0c². In other texts, the mass is defined in connection with relativistic momentum or energy, called relativistic mass mrel. So in this context the formula E = mrelc² indicates that energy always exhibits relativistic mass in whatever form the energy takes. Mass–energy equivalence does not imply that mass may be "converted" to energy, but it allows for matter to disappear, leaving only its associated energy behind, as non-material energy. Mass remains conserved, since it is a property of matter and also any type of energy. Energy is also conserved. In physics, mass must be differentiated from matter. Matter, when seen as certain types of particles, can be created and destroyed, but a closed system of precursors and products of such reactions, as a whole, retains both the original mass and energy throughout the reaction.²²²

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Numerology

  1. Chaldean Numerology

    The numerical value of mass–energy equivalence in Chaldean Numerology is: 1

  2. Pythagorean Numerology

    The numerical value of mass–energy equivalence in Pythagorean Numerology is: 6

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"mass–energy equivalence." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/mass%E2%80%93energy+equivalence>.

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