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Marcos Marino, An introduction to Donaldson
Marcos Marino, An introduction to Donaldson

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The Hydrogen Atom: a Review on the Birth of Modern Quantum

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... Zeh’s argument is similar: “Bohm’s theory contains the same “many worlds” of dynamically separate branches as the Everett interpretation (now regarded as empty wave components), since it is based on precisely the same … global wave function” (1999, 200). It is true that the wavefunction structure is ...
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Splitting CO2 with Electric Fields: A
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... components to be put onto a single silicon chip. The efficiency of these ICs has since then increased several times, partly by straightforward miniaturisation of components. This process was summarised by Gordon E. Moore in the now famous “Moore’s law”, which states that the number of transistors on ...
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... i.e. if it is a solution to a 4-dim Einstein-dilaton system. Time dep: Φ = Φ(t) or Φ = Φ(x+ ) . More later on cosmological solutions. General family of solutions: (Z(xm ) harmonic function) ds2 = Z −1/2 g̃µν dxµ dxν + Z 1/2 gmn dxm dxn , ...
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Renormalization



In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.
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