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Making the universe safe for historians: Time travel and the laws of
Making the universe safe for historians: Time travel and the laws of

... in the case of deformed static wormholes) in such processes. Neither of these assstunptions need necessarily be valid. Singularities one usuMly envisages axe the type that inhabit the event horizons of black holes: points at which the scalar curvature and tidal forces diverge. Because our mathematic ...
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... 70kg person lands on firm ground after jumping from a height of 3.0m. Then estimate the average force exerted on the person’s feet by the ground, if the landing is stiff-legged and again with bent legs. With stiff legs the body moves 1cm during impact. With bent legs the ...
= ∫ ∫ - at www.arxiv.org.
= ∫ ∫ - at www.arxiv.org.

... measurability at the macroscopic level [40] is beyond any doubt. But there is well-founded doubt [41] that the Leggett-Garg inequality [40] can reveal a contradiction of experimental results with macroscopic realism. In spite of similar mathematical forms of the LeggettGarg [40] and Bell’s [42,43] i ...
Hirota dynamics of quantum integrability
Hirota dynamics of quantum integrability

... • No single analyticity friendly gauge for T’s of right, left and upper bands. We parameterize T’s of 3 bands in different, analyticity friendly gauges, also respecting their reality and certain symmetries. • Quantum analogue of classical ...
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... Amplitude of interference fringes is a quantum operator. The measured value of the amplitude will fluctuate from shot to shot. We want to characterize not only the average but the fluctuations as well. ...
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Large quantum superpositions of a levitated nanodiamond through spin-optomechanical coupling

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Non-Destructive Testing Capability of a Superconducting Quantum

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Impact and Momentum - definition and units

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The Church-Turing thesis in a quantum world

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Impact and Momentum - definition and units

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Classical Field Theory - Uwe

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... Conservation of Linear Momentum in a Two Particle System Consider an isolated system with two particles that does not have any external forces exerting on it. What is the impact of Newton’s 3rd Law? If particle#1 exerts force on particle #2, there must be another force that the particle #2 exerts o ...
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Renormalization group



In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.
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