Topic: Physics (Page 14)

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๐Ÿ”— Erwin Schrรถdinger โ€“ Sexual Abuse

๐Ÿ”— Biography ๐Ÿ”— Physics ๐Ÿ”— Philosophy ๐Ÿ”— Biography/science and academia ๐Ÿ”— Philosophy/Philosophy of science ๐Ÿ”— Philosophy/Contemporary philosophy ๐Ÿ”— History of Science ๐Ÿ”— Philosophy/Philosophers ๐Ÿ”— Physics/Biographies ๐Ÿ”— Ireland ๐Ÿ”— University of Oxford ๐Ÿ”— University of Oxford/University of Oxford (colleges)

Erwin Rudolf Josef Alexander Schrรถdinger (UK: , US: ; German: [หˆษ›ษฬฏvษชn หˆสƒสรธหdษชล‹ษ]; 12 August 1887 โ€“ 4 January 1961), sometimes written as Schroedinger or Schrodinger, was a Nobel Prizeโ€“winning Austrian and naturalized Irish physicist who developed fundamental results in quantum theory. In particular, he is recognized for postulating the Schrรถdinger equation, an equation that provides a way to calculate the wave function of a system and how it changes dynamically in time. He coined the term "quantum entanglement", and was the earliest to discuss it, doing so in 1932.

In addition, he wrote many works on various aspects of physics: statistical mechanics and thermodynamics, physics of dielectrics, colour theory, electrodynamics, general relativity, and cosmology, and he made several attempts to construct a unified field theory. In his book What Is Life? Schrรถdinger addressed the problems of genetics, looking at the phenomenon of life from the point of view of physics. He also paid great attention to the philosophical aspects of science, ancient, and oriental philosophical concepts, ethics, and religion. He also wrote on philosophy and theoretical biology. In popular culture, he is best known for his "Schrรถdinger's cat" thought experiment.

Spending most of his life as an academic with positions at various universities, Schrรถdinger, along with Paul Dirac, won the Nobel Prize in Physics in 1933 for his work on quantum mechanics, the same year he left Germany due to his opposition to Nazism. In his personal life, he lived with both his wife and his mistress which may have led to problems causing him to leave his position at Oxford. Subsequently, until 1938, he had a position in Graz, Austria, until the Nazi takeover when he fled, finally finding a long-term arrangement in Dublin where he remained until retirement in 1955. He died in Vienna of tuberculosis when he was 73.

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๐Ÿ”— Emergence

๐Ÿ”— Biology ๐Ÿ”— Physics ๐Ÿ”— Economics ๐Ÿ”— Philosophy ๐Ÿ”— Systems ๐Ÿ”— Philosophy/Philosophy of science ๐Ÿ”— Philosophy/Epistemology

In philosophy, systems theory, science, and art, emergence occurs when an entity is observed to have properties its parts do not have on their own. These properties or behaviors emerge only when the parts interact in a wider whole. For example, smooth forward motion emerges when a bicycle and its rider interoperate, but neither part can produce the behavior on their own.

Emergence plays a central role in theories of integrative levels and of complex systems. For instance, the phenomenon of life as studied in biology is an emergent property of chemistry, and psychological phenomena emerge from the neurobiological phenomena of living things.

In philosophy, theories that emphasize emergent properties have been called emergentism. Almost all accounts of emergentism include a form of epistemic or ontological irreducibility to the lower levels.

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๐Ÿ”— John von Neumann

๐Ÿ”— Biography ๐Ÿ”— Computing ๐Ÿ”— Mathematics ๐Ÿ”— Military history ๐Ÿ”— Military history/North American military history ๐Ÿ”— Military history/United States military history ๐Ÿ”— Military history/Military science, technology, and theory ๐Ÿ”— Physics ๐Ÿ”— Economics ๐Ÿ”— Philosophy ๐Ÿ”— Philosophy/Logic ๐Ÿ”— Biography/science and academia ๐Ÿ”— Philosophy/Philosophy of science ๐Ÿ”— Philosophy/Contemporary philosophy ๐Ÿ”— Military history/Military biography ๐Ÿ”— Biography/military biography ๐Ÿ”— History of Science ๐Ÿ”— Computing/Computer science ๐Ÿ”— Philosophy/Philosophers ๐Ÿ”— Education ๐Ÿ”— Hungary ๐Ÿ”— Military history/World War II ๐Ÿ”— Military history/Cold War ๐Ÿ”— Physics/History ๐Ÿ”— Physics/Biographies ๐Ÿ”— Game theory ๐Ÿ”— Eastern Europe

John von Neumann (; Hungarian: Neumann Jรกnos Lajos, pronouncedย [หˆnษ’jmษ’n หˆjaหnoสƒ หˆlษ’joสƒ]; December 28, 1903ย โ€“ Februaryย 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath. Von Neumann was generally regarded as the foremost mathematician of his time and said to be "the last representative of the great mathematicians"; who integrated both pure and applied sciences.

He made major contributions to a number of fields, including mathematics (foundations of mathematics, functional analysis, ergodic theory, representation theory, operator algebras, geometry, topology, and numerical analysis), physics (quantum mechanics, hydrodynamics, and quantum statistical mechanics), economics (game theory), computing (Von Neumann architecture, linear programming, self-replicating machines, stochastic computing), and statistics.

He was a pioneer of the application of operator theory to quantum mechanics in the development of functional analysis, and a key figure in the development of game theory and the concepts of cellular automata, the universal constructor and the digital computer.

He published over 150 papers in his life: about 60 in pure mathematics, 60 in applied mathematics, 20 in physics, and the remainder on special mathematical subjects or non-mathematical ones. His last work, an unfinished manuscript written while he was in hospital, was later published in book form as The Computer and the Brain.

His analysis of the structure of self-replication preceded the discovery of the structure of DNA. In a short list of facts about his life he submitted to the National Academy of Sciences, he stated, "The part of my work I consider most essential is that on quantum mechanics, which developed in Gรถttingen in 1926, and subsequently in Berlin in 1927โ€“1929. Also, my work on various forms of operator theory, Berlin 1930 and Princeton 1935โ€“1939; on the ergodic theorem, Princeton, 1931โ€“1932."

During World War II, von Neumann worked on the Manhattan Project with theoretical physicist Edward Teller, mathematician Stanisล‚aw Ulam and others, problem solving key steps in the nuclear physics involved in thermonuclear reactions and the hydrogen bomb. He developed the mathematical models behind the explosive lenses used in the implosion-type nuclear weapon, and coined the term "kiloton" (of TNT), as a measure of the explosive force generated.

After the war, he served on the General Advisory Committee of the United States Atomic Energy Commission, and consulted for a number of organizations, including the United States Air Force, the Army's Ballistic Research Laboratory, the Armed Forces Special Weapons Project, and the Lawrence Livermore National Laboratory. As a Hungarian รฉmigrรฉ, concerned that the Soviets would achieve nuclear superiority, he designed and promoted the policy of mutually assured destruction to limit the arms race.

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๐Ÿ”— Ettore Majorana

๐Ÿ”— Biography ๐Ÿ”— Physics ๐Ÿ”— Biography/science and academia ๐Ÿ”— Physics/Biographies ๐Ÿ”— Sicily

Ettore Majorana (, Italian: [หˆษ›ttore majoหˆraหna]; born on 5 August 1906 โ€“ likely dying in or after 1959) was an Italian theoretical physicist who worked on neutrino masses. On 25ย March 1938, he disappeared under mysterious circumstances after purchasing a ticket to travel by ship from Naples to Palermo.

The Majorana equation and Majorana fermions are named after him. In 2006, the Majorana Prize was established in his memory.

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๐Ÿ”— Thermoacoustic heat engine

๐Ÿ”— Physics ๐Ÿ”— Physics/Acoustics

Thermoacoustic engines (sometimes called "TA engines") are thermoacoustic devices which use high-amplitude sound waves to pump heat from one place to another (this requires work, which is provided by the loudspeaker) or use a heat difference to produce work in the form of sound waves (these waves can then be converted into electrical current the same way as a microphone does).

These devices can be designed to use either standing wave or travelling wave.

Compared to vapor refrigerators, thermoacoustic refrigerators have no coolant and few moving parts (only the loudspeaker), therefore require no dynamic sealing or lubrication.

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๐Ÿ”— Shor's algorythm

๐Ÿ”— Mathematics ๐Ÿ”— Physics

Shor's algorithm is a polynomial-time quantum computer algorithm for integer factorization. Informally, it solves the following problem: Given an integer N {\displaystyle N} , find its prime factors. It was invented in 1994 by the American mathematician Peter Shor.

On a quantum computer, to factor an integer N {\displaystyle N} , Shor's algorithm runs in polynomial time (the time taken is polynomial in log โก N {\displaystyle \log N} , the size of the integer given as input). Specifically, it takes quantum gates of order O ( ( log โก N ) 2 ( log โก log โก N ) ( log โก log โก log โก N ) ) {\displaystyle O\!\left((\log N)^{2}(\log \log N)(\log \log \log N)\right)} using fast multiplication, thus demonstrating that the integer-factorization problem can be efficiently solved on a quantum computer and is consequently in the complexity class BQP. This is almost exponentially faster than the most efficient known classical factoring algorithm, the general number field sieve, which works in sub-exponential time โ€” O ( e 1.9 ( log โก N ) 1 / 3 ( log โก log โก N ) 2 / 3 ) {\displaystyle O\!\left(e^{1.9(\log N)^{1/3}(\log \log N)^{2/3}}\right)} . The efficiency of Shor's algorithm is due to the efficiency of the quantum Fourier transform, and modular exponentiation by repeated squarings.

If a quantum computer with a sufficient number of qubits could operate without succumbing to quantum noise and other quantum-decoherence phenomena, then Shor's algorithm could be used to break public-key cryptography schemes, such as the widely used RSA scheme. RSA is based on the assumption that factoring large integers is computationally intractable. As far as is known, this assumption is valid for classical (non-quantum) computers; no classical algorithm is known that can factor integers in polynomial time. However, Shor's algorithm shows that factoring integers is efficient on an ideal quantum computer, so it may be feasible to defeat RSA by constructing a large quantum computer. It was also a powerful motivator for the design and construction of quantum computers, and for the study of new quantum-computer algorithms. It has also facilitated research on new cryptosystems that are secure from quantum computers, collectively called post-quantum cryptography.

In 2001, Shor's algorithm was demonstrated by a group at IBM, who factored 15 {\displaystyle 15} into 3 ร— 5 {\displaystyle 3\times 5} , using an NMR implementation of a quantum computer with 7 {\displaystyle 7} qubits. After IBM's implementation, two independent groups implemented Shor's algorithm using photonic qubits, emphasizing that multi-qubit entanglement was observed when running the Shor's algorithm circuits. In 2012, the factorization of 15 {\displaystyle 15} was performed with solid-state qubits. Also, in 2012, the factorization of 21 {\displaystyle 21} was achieved, setting the record for the largest integer factored with Shor's algorithm.

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๐Ÿ”— James Dewar

๐Ÿ”— Biography ๐Ÿ”— Physics ๐Ÿ”— Biography/science and academia ๐Ÿ”— Physics/Biographies

Sir James Dewar (20 September 1842 โ€“ 27 March 1923) was a Scottish chemist and physicist. He is best known for his invention of the vacuum flask, which he used in conjunction with research into the liquefaction of gases. He also studied atomic and molecular spectroscopy, working in these fields for more than 25 years.

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๐Ÿ”— Ladder Paradox

๐Ÿ”— Physics ๐Ÿ”— Physics/relativity

The ladder paradox (or barn-pole paradox) is a thought experiment in special relativity. It involves a ladder, parallel to the ground, travelling horizontally at relativistic speed (near the speed of light) and therefore undergoing a Lorentz length contraction. The ladder is imagined passing through the open front and rear doors of a garage or barn which is shorter than its rest length, so if the ladder was not moving it would not be able to fit inside. To a stationary observer, due to the contraction, the moving ladder is able to fit entirely inside the building as it passes through. On the other hand, from the point of view of an observer moving with the ladder, the ladder will not be contracted, and it is the building which will be Lorentz contracted to an even smaller length. Therefore, the ladder will not be able to fit inside the building as it passes through. This poses an apparent discrepancy between the realities of both observers.

This apparent paradox results from the mistaken assumption of absolute simultaneity. The ladder is said to fit into the garage if both of its ends can be made to be simultaneously inside the garage. The paradox is resolved when it is considered that in relativity, simultaneity is relative to each observer, making the answer to whether the ladder fits inside the garage also relative to each of them.

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๐Ÿ”— The Angle of repose

๐Ÿ”— Physics ๐Ÿ”— Soil

The angle of repose, or critical angle of repose, of a granular material is the steepest angle of descent or dip relative to the horizontal plane to which a material can be piled without slumping. At this angle, the material on the slope face is on the verge of sliding. The angle of repose can range from 0ยฐ to 90ยฐ. The morphology of the material affects the angle of repose; smooth, rounded sand grains cannot be piled as steeply as can rough, interlocking sands. The angle of repose can also be affected by additions of solvents. If a small amount of water is able to bridge the gaps between particles, electrostatic attraction of the water to mineral surfaces will increase the angle of repose, and related quantities such as the soil strength.

When bulk granular materials are poured onto a horizontal surface, a conical pile will form. The internal angle between the surface of the pile and the horizontal surface is known as the angle of repose and is related to the density, surface area and shapes of the particles, and the coefficient of friction of the material. Material with a low angle of repose forms flatter piles than material with a high angle of repose.

The term has a related usage in mechanics, where it refers to the maximum angle at which an object can rest on an inclined plane without sliding down. This angle is equal to the arctangent of the coefficient of static friction ฮผs between the surfaces.

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๐Ÿ”— Light Pillar

๐Ÿ”— Physics ๐Ÿ”— Weather ๐Ÿ”— Weather/Weather

A light pillar is an atmospheric optical phenomenon in which a vertical beam of light appears to extend above and/or below a light source. The effect is created by the reflection of light from tiny ice crystals that are suspended in the atmosphere or that comprise high-altitude clouds (e.g. cirrostratus or cirrus clouds). If the light comes from the Sun (usually when it is near or even below the horizon), the phenomenon is called a sun pillar or solar pillar. Light pillars can also be caused by the Moon or terrestrial sources, such as streetlights and erupting volcanoes.