Mass–energy Equivalence
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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 = mc^2. The formula defines the energy of a particle in its rest frame as the product of mass () with the speed of light squared (). Because the speed of light is a large number in everyday units (approximately ), 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 fr ...
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M87 Jet
M87 or M-87 may refer to: Military * M87 machine gun, a Yugoslav copy of the NSVT machine gun * M-87 Orkan, a Yugoslav rocket-artillery vehicle Transportation * Tumansky M-87, a Soviet aircraft engine * M-87 (Michigan highway), a former state highway in Michigan, US * McDonnell Douglas MD-87, a passenger airplane Other uses * Messier 87, a giant elliptical galaxy in the Virgo Cluster ** M87*, a supermassive black hole at Messier 87's core * M87 Ray (α and β), the signature move of the character Zoffy from the ''Ultra Series'' of television shows; See List of ''Ultraman Ginga'' characters * "M87", the theme song for the 2022 film ''Shin Ultraman'' by Kenshi Yonezu is a Japanese musician, singer-songwriter, record producer and illustrator who began releasing Vocaloid music under the stage name in 2009. In 2012, he debuted under his real name, releasing music with his own voice. He has sold at least 4.2 mi ...
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Energy Transformation
Energy transformation, also known as energy conversion, is the process of changing energy from one form to another. In physics, energy is a quantity that provides the capacity to perform work or moving, (e.g. Lifting an object) or provides heat. In addition to being converted, according to the law of conservation of energy, energy is transferable to a different location or object, but it cannot be created or destroyed. The energy in many of its forms may be used in natural processes, or to provide some service to society such as heating, refrigeration, lighting or performing mechanical work to operate machines. For example, to heat a home, the furnace burns fuel, whose chemical potential energy is converted into thermal energy, which is then transferred to the home's air to raise its temperature. Limitations in the conversion of thermal energy Conversions to thermal energy from other forms of energy may occur with 100% efficiency. Conversion among non-thermal forms of energy ...
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Energy–momentum Relation
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. It can be written as the following equation: This equation holds for a body or system, such as one or more particles, with total energy , invariant mass , and momentum of magnitude ; the constant is the speed of light. It assumes the special relativity case of flat spacetime. Total energy is the sum of rest energy and kinetic energy, while invariant mass is mass measured in a center-of-momentum frame. For bodies or systems with zero momentum, it simplifies to the mass–energy equation E = m_0 \textrm c^2, where total energy in this case is equal to rest energy (also written as ). The Dirac sea model, which was used to predict the existence of ...
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Annus Mirabilis Papers
The ''annus mirabilis'' papers (from Latin '' annus mīrābilis'', "miracle year") are the four papers that Albert Einstein published in ''Annalen der Physik'' (''Annals of Physics''), a scientific journal, in 1905. These four papers were major contributions to the foundation of modern physics. They revolutionized science's understanding of the fundamental concepts of space, time, mass, and energy. Because Einstein published these remarkable papers in a single year, 1905 is called his ''annus mirabilis'' (''miracle year'' in English or ''Wunderjahr'' in German). The first paper explained the photoelectric effect, which was the only specific discovery mentioned in the citation awarding Einstein the Nobel Prize in Physics. The second paper explained Brownian motion, which led reluctant physicists to accept the existence of atoms. The third paper introduced Einstein's theory of special relativity. The fourth, a consequence of the theory of special relativity, developed the principle ...
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Spacetime Symmetries
Spacetime symmetries are features of spacetime that can be described as exhibiting some form of symmetry. The role of symmetry in physics is important in simplifying solutions to many problems. Spacetime symmetries are used in the study of exact solutions of Einstein's field equations of general relativity. Spacetime symmetries are distinguished from internal symmetries. Physical motivation Physical problems are often investigated and solved by noticing features which have some form of symmetry. For example, in the Schwarzschild solution, the role of spherical symmetry is important in deriving the Schwarzschild solution and deducing the physical consequences of this symmetry (such as the nonexistence of gravitational radiation in a spherically pulsating star). In cosmological problems, symmetry plays a role in the cosmological principle, which restricts the type of universes that are consistent with large-scale observations (e.g. the Friedmann–Lemaître–Robertson–Walker (FLR ...
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