CASYS'09 Computing Anticipatory Systems
... their global nature emerging from local deformation processes. It also provides insights on the geometrical (fractal) properties of coherent states. My conclusion is that fractals are global systems arising from local deformation processes. Therefore they cannot be purely geometric objects. Their co ...
... their global nature emerging from local deformation processes. It also provides insights on the geometrical (fractal) properties of coherent states. My conclusion is that fractals are global systems arising from local deformation processes. Therefore they cannot be purely geometric objects. Their co ...
Quantum Information and Quantum Computation
... Over the last half century, the components of computers have gotten smaller by a factor of two every year and a half, the phenomenon known as Moore's law. In current computers, the smallest wires and transistors are coming close to a size of one hundred nanometers across, a thousand times the diamet ...
... Over the last half century, the components of computers have gotten smaller by a factor of two every year and a half, the phenomenon known as Moore's law. In current computers, the smallest wires and transistors are coming close to a size of one hundred nanometers across, a thousand times the diamet ...
Phys. Rev. Lett. 100, 044106(1-4) - APS Link Manager
... The statistical theory of gases developed by Boltzmann leads to macroscopic irreversibility and entropy growth even if dynamical equations of motion are time reversible. This contradiction was pointed out by Loschmidt and is now known as the Loschmidt paradox [1]. The reply of Boltzmann relied on th ...
... The statistical theory of gases developed by Boltzmann leads to macroscopic irreversibility and entropy growth even if dynamical equations of motion are time reversible. This contradiction was pointed out by Loschmidt and is now known as the Loschmidt paradox [1]. The reply of Boltzmann relied on th ...
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.