scholarly journals The zitterbewegung region

2017 ◽  
Vol 32 (19n20) ◽  
pp. 1750117 ◽  
Author(s):  
B. G. Sidharth ◽  
Abhishek Das
Keyword(s):  
Space Time ◽  
Sharp Contrast ◽  
Quantum Mechanical ◽  
Precise Description ◽  
Unique Region ◽  
Stochastic Nature ◽  
Time Region ◽  
Compton Scale

This paper deals with a precise description of the region of zitterbewegung below the Compton scale and the stochastic nature associated with it. We endeavor to delineate this particular region by means of Ito’s calculus and instigate certain features that are in sharp contrast with conventional physics. Interestingly, our work substantiates that the zitterbewegung region represents a pre-space–time region and from therein emerges the notion of our conventional space–time. Interestingly, this unique region engenders the relativistic and quantum mechanical aspects of space–time.

Bell’s theorem and its tests: Proof that nature is superdeterministic—Not random

2020 ◽  
Vol 33 (2) ◽  
pp. 216-218
Author(s):  
Johan Hansson
Keyword(s):  
Quantum Mechanics ◽  
Reference Frames ◽  
Space Time ◽  
Bell’S Theorem ◽  
Quantum Mechanical ◽  
Bell's Theorem ◽  
Fundamental Level ◽  
Global Space ◽  
Mechanical Measurements

By analyzing the same Bell experiment in different reference frames, we show that nature at its fundamental level is superdeterministic, not random, in contrast to what is indicated by orthodox quantum mechanics. Events—including the results of quantum mechanical measurements—in global space-time are fixed prior to measurement.

scholarly journals Natural Law and Universality in the Philosophy of Biology

2014 ◽  
Vol 22 (S1) ◽  
pp. S145-S162
Author(s):  
Alexander Reutlinger
Keyword(s):  
Natural Law ◽  
Explanatory Power ◽  
Philosophy Of Biology ◽  
Space Time ◽  
Space And Time ◽  
Region I ◽  
Unrestricted Domain ◽  
Time Region ◽  
Domain I

Several philosophers of biology have argued for the claim that the generalizations of biology are historical and contingent.1–5 This claim divides into the following sub-claims, each of which I will contest: first, biological generalizations are restricted to a particular space-time region. I argue that biological generalizations are universal with respect to space and time. Secondly, biological generalizations are restricted to specific kinds of entities, i.e. these generalizations do not quantify over an unrestricted domain. I will challenge this second claim by providing an interpretation of biological generalizations that do quantify over an unrestricted domain of objects. Thirdly, biological generalizations are contingent in the sense that their truth depends on special (physically contingent) initial and background conditions. I will argue that the contingent character of biological generalizations does not diminish their explanatory power nor is it the case that this sort of contingency is exclusively characteristic of biological generalizations.

QUANTUM SPACE-TIME AND ESTIMATIONS ON THE VALUE OF THE FUNDAMENTAL LENGTH

1986 ◽  
Vol 01 (03) ◽  
pp. 183-189 ◽  
Author(s):  
M. DINEYKHAN ◽  
Kh. NAMSRAI
Keyword(s):  
Hydrogen Atom ◽  
Hyperfine Structure ◽  
Lamb Shift ◽  
Space Time ◽  
Low Energy ◽  
Quantum Mechanical ◽  
Quantum Space ◽  
Fundamental Length ◽  
Space Time Structure ◽  
Energy Processes

Generalizing the idea of quantum space-time to the quantum mechanical case we re-analyze low energy processes and consider the nuclear radii, the Lamb shift and hyperfine structure of the hydrogen atom. Calculations of the contributions to these measurements due to quantum space-time structure allow us to obtain estimates on the value of the fundamental length L. Among them, hyperfine structure gives the most stringent bound, L≤10−19 cm.

The Theory of Extension

1997 ◽  
pp. 135-167
Author(s):  
Elizabeth M. Kraus
Keyword(s):  
Genetic Analysis ◽  
Space Time ◽  
Time Region

This chapter analyzes Part IV of Process and Reality. It begins with a discussion of coordinate division, which is the isolation of the separable elements in the inseparate unity of the satisfaction. In genetic analysis, which is likewise an analysis of these separable elements, the emphasis is placed on the feelings themselves: their arising, structure, subjective forms, integration, and comparison. Coordinate division, as an analysis of the concrete superject emergent from the process of feeling, concentrates on the fully determinate, unified space–time region actualized in the concrescence and distinguishes in it the sub-regions, extensive quanta, and standpoints which might be. Therefore, it is primarily the data from the physical pole of an entity which are susceptible to coordinate analysis. The remainder of the chapter explains extensive connection, flat loci, strains, and measurement.

scholarly journals Photons in Curved Space?Time

1987 ◽  
Vol 40 (3) ◽  
pp. 449 ◽  
Author(s):  
David F Crawford
Keyword(s):  
Energy Loss ◽  
Loss Rate ◽  
Hubble Constant ◽  
Space Time ◽  
Quantum Mechanical ◽  
Clusters Of Galaxies ◽  
Hydrogen Atoms ◽  
Curved Space ◽  
Universal Expansion ◽  
Virial Mass

Because photons are described by quantum mechanical wavefunctions that have a nonzero spatial extent it follows that they can be influenced by curved space-time. It is generally assumed that this tidal interaction is far too small to have a significant effect. This paper argues that there is a significant effect that results in an interaction between the photon and the material causing the curved space-time in which the photon loses energy to low energy secondary photons. The energy loss is a function of the space-time curvature and is proportional to distance. The only situation fully considered is that of a photon in curved space-time due to a uniform distribution of matter. Because the energy loss rate is very small it is difficult to observe in the laboratory and therefore its major applications are in astronomy. If the intergalactic density of matter is n hydrogen atoms m - 3, then the predicted value for the 'Hubble' constant (assuming no universal expansion) is 51�68 n1 /2 km s - 1 Mpc - 1. The theory can solve the virial mass discrepancy observed in clusters of galaxies and it makes a definite prediction about their relative magnitudes. Other astronomical applications are considered.

scholarly journals LOOKING BEYOND THE THERMAL HORIZON: HIDDEN SYMMETRIES IN CHIRAL MODELS

2000 ◽  
Vol 12 (03) ◽  
pp. 461-473 ◽  
Author(s):  
B. SCHROER ◽  
H.-W. WIESBROCK
Keyword(s):  
Ground State ◽  
Degrees Of Freedom ◽  
Quantum Physics ◽  
Blow Up ◽  
Heat Bath ◽  
Original System ◽  
Space Time ◽  
Matter Content ◽  
Hidden Symmetries ◽  
Time Region

In thermal states of chiral theories, as recently investigated by H.-J. Borchers and J. Yngvason, there exists a rich group of hidden symmetries. Here we show that this leads to a radical converse of of the Hawking–Unruh observation in the following sense. The algebraic commutant of the algebra associated with a (heat bath) thermal chiral system can be used to reprocess the thermal system into a ground state system on a larger algebra with a larger localization space-time. This happens in such a way that the original system appears as a kind of generalized Unruh restriction of the ground state sytem and the thermal commutant as being transmutated into newly created "virgin space-time region" behind a horizon. The related concepts of a "chiral conformal core" and the possibility of a "blow-up" of the latter suggest interesting ideas on localization of degrees of freedom with possible repercussion on how to define quantum entropy of localized matter content in Local Quantum Physics.

scholarly journals PAIRED ACCELERATED FRAMES

1996 ◽  
Vol 11 (20) ◽  
pp. 3667-3688 ◽  
Author(s):  
ULRICH H. GERLACH
Keyword(s):  
Lorentz Invariance ◽  
Thermal Fluctuation ◽  
Space Time ◽  
Quantum Mechanical ◽  
Spin Vector ◽  
Spin Direction ◽  
Time Translation ◽  
Mechanical Basis ◽  
Multiparticle Systems ◽  
Accelerated Frames

The geometrical and quantum-mechanical basis for Davies’ and Unruh’s acceleration temperature is traced to a type of quantum-mechanical (“achronal”) spin. Its existence and definition are based on pairs of causally disjoint accelerated frames. For bosons the expected spin vector of monochromatic particles is given by the “Planckian power” and the “r.m.s. thermal fluctuation” spectra. Under space–time translation the spin direction precesses around that “Planckian” vector. By exhibiting the conserved achronal spin four-current, we extend the identification of achronal spin from single quanta to multiparticle systems. Total achronal spin conservation is also shown to hold, even in the presence of quadratic interactions. In addition, the Lorentz invariance of the acceleration temperature is made explicit by the introduction of pairs of “spherical” Rindler frames.

scholarly journals NETS OF SUBFACTORS

1995 ◽  
Vol 07 (04) ◽  
pp. 567-597 ◽  
Author(s):  
R. LONGO ◽  
K.-H. REHREN
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Relative Position ◽  
Von Neumann Algebras ◽  
Space Time ◽  
Quantum Field ◽  
Von Neumann ◽  
Time Region ◽  
Theoretical Application ◽  
Theory Formula

A subtheory of a quantum field theory specifies von Neumann subalgebras [Formula: see text] (the ‘observables’ in the space-time region [Formula: see text]) of the von Neumann algebras [Formula: see text] (the 'field' localized in [Formula: see text]). Every local algebra being a (type III1) factor, the inclusion [Formula: see text] is a subfactor. The assignment of these local subfactors to the space-time regions is called a ‘net of subfactors’. The theory of subfactors is applied to such nets. In order to characterize the ‘relative position’ of the subtheory, and in particular to control the restriction and induction of superselection sectors, the canonical endomorphism is studied. The crucial observation is this: the canonical endomorphism of a single local subfactor extends to an endomorphism of the field net, which in turn restricts to a localized endomorphism of the observable net. The method allows one to characterize, and reconstruct, local extensions ℬ of a given theory [Formula: see text] in terms of the observables. Various non-trivial examples are given. Several results go beyond the quantum field theoretical application.

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