
Dr. Charles William Lucas
... theory, quantum mechanics, Maxwell's electrodynamics, evolution theory, ... will not accomplish much in the long run. We need to confront the real issue!! The theory of relativity was developed under the existential philosophy of science. This philosophy of science does not support the notion of tru ...
... theory, quantum mechanics, Maxwell's electrodynamics, evolution theory, ... will not accomplish much in the long run. We need to confront the real issue!! The theory of relativity was developed under the existential philosophy of science. This philosophy of science does not support the notion of tru ...
Math 8.02 Document Massachusetts Institute of Technology
... material in a compact form, so some might find it difficult. If so, do not be alarmed; the ideas will be covered in the physics course as needed. In either case, a single serious reading now and an attempt to do the few problems should help you when you next encounter these ideas. We suggest strongl ...
... material in a compact form, so some might find it difficult. If so, do not be alarmed; the ideas will be covered in the physics course as needed. In either case, a single serious reading now and an attempt to do the few problems should help you when you next encounter these ideas. We suggest strongl ...
Experiments with Entangled Photons Bell Inequalities, Non-local Games and Bound Entanglement
... Since then, the EPR paradox has raised many debates and divided the scientific community into two groups, one who believed (and still believes) that quantum mechanics is indeed incomplete and therefore, we need a more downto-earth theory, called Hidden variables theory. On the other hand, a second g ...
... Since then, the EPR paradox has raised many debates and divided the scientific community into two groups, one who believed (and still believes) that quantum mechanics is indeed incomplete and therefore, we need a more downto-earth theory, called Hidden variables theory. On the other hand, a second g ...
scattering states from time-dependent density functional theory
... 100th anniversary of Einstein’s annus mirabilis, there have been many interesting discussions about what makes some lines of research more fundamental than others [1]. Though not as widespread as it used to be, the opinion that the only truly fundamental research is the one directed to discover the ...
... 100th anniversary of Einstein’s annus mirabilis, there have been many interesting discussions about what makes some lines of research more fundamental than others [1]. Though not as widespread as it used to be, the opinion that the only truly fundamental research is the one directed to discover the ...
The Ghost in the Quantum Turing Machine
... every experiment on living organisms there must remain some uncertainty as regards the physical conditions to which they are subjected, and the idea suggests itself that the minimal freedom we must allow the organism will be just large enough to permit it, so to say, to hide its ultimate secrets fr ...
... every experiment on living organisms there must remain some uncertainty as regards the physical conditions to which they are subjected, and the idea suggests itself that the minimal freedom we must allow the organism will be just large enough to permit it, so to say, to hide its ultimate secrets fr ...
Microsoft Word - ANL_form6
... XXI century. The superior performance of quantum systems in computation and communication applications is predominantly rooted in a property of quantum mechanical states called entanglement. Essentially, entanglement comes along with new kinds of correlations. It is a fundamental property of quantum ...
... XXI century. The superior performance of quantum systems in computation and communication applications is predominantly rooted in a property of quantum mechanical states called entanglement. Essentially, entanglement comes along with new kinds of correlations. It is a fundamental property of quantum ...
"Loop Quantum Gravity" (Rovelli)
... For a relativist, on the other hand, the idea of a fundamental description of gravity in terms of physical excitations over a background space sounds physically wrong. The key lesson learned from general relativity is that there is no background metric space over which physics happens (except, of co ...
... For a relativist, on the other hand, the idea of a fundamental description of gravity in terms of physical excitations over a background space sounds physically wrong. The key lesson learned from general relativity is that there is no background metric space over which physics happens (except, of co ...
Spin Foam Models for Quantum Gravity
... One of the simplest and most studied spin foam model for 4-dimensional gravity is the Barrett-Crane model [9, 10]. The main purpose of the second part is to present a critical survey of the different results that have been obtained in this framework and its combinatorial generalizations [11, 12, 13] ...
... One of the simplest and most studied spin foam model for 4-dimensional gravity is the Barrett-Crane model [9, 10]. The main purpose of the second part is to present a critical survey of the different results that have been obtained in this framework and its combinatorial generalizations [11, 12, 13] ...
Quantum Rotations: A Case Study in Static and Dynamic Machine
... about all “practical” quantum algorithms. We describe each algorithm briefly below and summarize our analysis of these benchmarks in Table 1. The number of Lines of Scaffold code is provided for each benchmark to give a sense of coding complexity. The resource requirements of each algorithm depend o ...
... about all “practical” quantum algorithms. We describe each algorithm briefly below and summarize our analysis of these benchmarks in Table 1. The number of Lines of Scaffold code is provided for each benchmark to give a sense of coding complexity. The resource requirements of each algorithm depend o ...
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.