URL - StealthSkater
... that they are absent from amplitudes poses very strong conditions on the p-adic counterparts of scattering amplitudes and also real scattering amplitudes. Bringing 2 πi and its powers via infinite-dimensional non-algebraic extension of p-adics might lead to inconsistencies. exp(i2π/n) defined as pow ...
... that they are absent from amplitudes poses very strong conditions on the p-adic counterparts of scattering amplitudes and also real scattering amplitudes. Bringing 2 πi and its powers via infinite-dimensional non-algebraic extension of p-adics might lead to inconsistencies. exp(i2π/n) defined as pow ...
Earman, John, "Aspects of Determinism in Modern Physics"
... from R to tuples of values of the basic magnitudes, where for any t ∈ R the state H(t) gives a snapshot of behavior of the basic magnitudes at time t. The world is Laplacian deterministic with respect to O just in case for any pair of histories H1 , H2 satisfying the laws of physics, if H1 (t) = H2 ...
... from R to tuples of values of the basic magnitudes, where for any t ∈ R the state H(t) gives a snapshot of behavior of the basic magnitudes at time t. The world is Laplacian deterministic with respect to O just in case for any pair of histories H1 , H2 satisfying the laws of physics, if H1 (t) = H2 ...
On a measurement-free quantum lambda calculus with classical
... (see Nielsen and Chuang (2000) for a detailed introduction). In the next subsection these notions will be (re)defined in a rigorous way. The basic unit of quantum computation is the so-called quantum bit, or qubit for short. A direct way to represent a quantum bit is as a unitary vector in the 2-dime ...
... (see Nielsen and Chuang (2000) for a detailed introduction). In the next subsection these notions will be (re)defined in a rigorous way. The basic unit of quantum computation is the so-called quantum bit, or qubit for short. A direct way to represent a quantum bit is as a unitary vector in the 2-dime ...
Lecture 1
... Relativistic relation between E and p: Quantum mechanical substitution: (operator acting on wave function ψ) Klein-Gordon equation: ...
... Relativistic relation between E and p: Quantum mechanical substitution: (operator acting on wave function ψ) Klein-Gordon equation: ...
From Quantum Gates to Quantum Learning: recent research and
... • Put all 7-bits into a superposition state • superposition allows quantum computer to make calculations on all 128 possible numbers (27) in ONE iteration i.e. finishes in 1 second. • Tremendous possibilities… imagine doing computations on even larger sample spaces all at the same time!!! ...
... • Put all 7-bits into a superposition state • superposition allows quantum computer to make calculations on all 128 possible numbers (27) in ONE iteration i.e. finishes in 1 second. • Tremendous possibilities… imagine doing computations on even larger sample spaces all at the same time!!! ...
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.