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Imaginary time information


Imaginary time is a mathematical representation of time that appears in some approaches to special relativity and quantum mechanics. It finds uses in certain cosmological theories.

Mathematically, imaginary time is real time which has undergone a Wick rotation so that its coordinates are multiplied by the imaginary unit i. Imaginary time is not imaginary in the sense that it is unreal or made-up, it is simply expressed in terms of imaginary numbers.

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Imaginary time

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Mathematically, imaginary time is real time which has undergone a Wick rotation so that its coordinates are multiplied by the imaginary unit i. Imaginary time is not...

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Imaginary

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Look up imaginary in Wiktionary, the free dictionary. Imaginary may refer to: Imaginary (sociology), a concept in sociology The Imaginary (psychoanalysis)...

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Time

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called imaginary time, this was from Stephen Hawking, who said that space and imaginary time are finite but have no boundaries. Imaginary time is not...

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Quantum superposition

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found by taking time imaginary. K ′ ( t ) = e − H t {\displaystyle K'(t)=e^{-Ht}\,} For quantum systems which are invariant under time reversal the Hamiltonian...

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Imaginary friend

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when childhood was emphasized as an important time for play and imagination. In some studies, imaginary friends are defined as children impersonating...

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A Brief History of Time

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Hawking talks about why "real time", as Hawking calls time as humans observe and experience it (in contrast to "imaginary time", which Hawking claims is inherent...

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Imaginary number

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An imaginary number is the product of a real number and the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number...

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Multiple time dimensions

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remaining time dimension. Like other complex number variables, complex time is two-dimensional, comprising one real time dimension and one imaginary time dimension...

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Wick rotation

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problem in Euclidean space by means of a transformation that substitutes an imaginary-number variable for a real-number variable. Wick rotations can be seen...

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Matsubara frequency

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Matsubara) is a technique used to simplify calculations involving Euclidean (imaginary time) path integrals. In thermal quantum field theory, bosonic and fermionic...

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Imaginary line

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Time zones. Line of sight Optical ray Force lines in mechanical and structural engineering Field lines for electric and magnetic fields Imaginary line...

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Path integral formulation

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of quantum field theory, where the change from real to imaginary time changes the space-time geometry from Lorentzian to Euclidean.) Now, the contribution...

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Three Imaginary Boys

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Three Imaginary Boys is the debut studio album by English rock band the Cure, released on 8 May 1979 by Fiction Records. It was later released in the...

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Imaginary Cat

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Imaginary Cat (Korean: 상상고양이; RR: Sangsang go-yang-i) is an 8-episode South Korean television series starring Yoo Seung-ho. It aired on cable network...

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Feynman diagram

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state, and the integral should be performed a little bit rotated into imaginary time, i.e. a Wick rotation. The path integral formalism is completely equivalent...

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History of special relativity

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and time were only two sides of some sort of "spacetime". He used time as an imaginary fourth dimension, which he gave the form i t {\displaystyle \scriptstyle...

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Imaginary Crimes

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Imaginary Crimes is a 1994 American period drama film directed by Anthony Drazan, and starring Harvey Keitel, Fairuza Balk, Kelly Lynch, Vincent D'Onofrio...

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Imaginary chair

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The imaginary chair or wall sit is a means of exercise or punishment, where one positions themselves against a wall as if seated. A wall sit specifically...

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Heat equation

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equation of quantum mechanics can be regarded as a heat equation in imaginary time. In image analysis, the heat equation is sometimes used to resolve pixelation...

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Thermal quantum field theory

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ordinary quantum field theory where the configuration is evolved by an imaginary time τ = i t ( 0 ≤ τ ≤ β ) {\displaystyle \tau =it(0\leq \tau \leq \beta...

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Greenwich Mean Time

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world's time signals. Nevertheless, the line in the old observatory's courtyard today differs no more than a few metres from that imaginary line which...

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