Dualism loop and string

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Space Time ◽  
Time Interval

the holographic space-time interval leads to the concept of dualism between loops and strings.

Tail asymptotics of an infinitely divisible space-time model with convolution equivalent Lévy measure

2021 ◽  
Vol 58 (1) ◽  
pp. 42-67 ◽  
Author(s):  
Mads Stehr ◽  
Anders Rønn-Nielsen
Keyword(s):  
Space Time ◽  
Time Interval ◽  
Lévy Measure ◽  
Infinitely Divisible ◽  
Time Model ◽  
Spatial Object ◽  
Tail Behaviour ◽  
Fixed Radius ◽  
The Right ◽  
Space Time Model

AbstractWe consider a space-time random field on ${{\mathbb{R}^d} \times {\mathbb{R}}}$ given as an integral of a kernel function with respect to a Lévy basis with a convolution equivalent Lévy measure. The field obeys causality in time and is thereby not continuous along the time axis. For a large class of such random fields we study the tail behaviour of certain functionals of the field. It turns out that the tail is asymptotically equivalent to the right tail of the underlying Lévy measure. Particular examples are the asymptotic probability that there is a time point and a rotation of a spatial object with fixed radius, in which the field exceeds the level x, and that there is a time interval and a rotation of a spatial object with fixed radius, in which the average of the field exceeds the level x.

scholarly journals Some Results for a Time Interval Approach to Field Theory and Gravitation

2021 ◽  
Author(s):  
Harmen Henricus Hollestelle
Keyword(s):  
Field Theory ◽  
Space Time ◽  
Time Dependent ◽  
Field Energy ◽  
Time Interval ◽  
Time Intervals ◽  
Metric Tensor ◽  
Zero Mass ◽  
Interval Approach ◽  
Wave Emission

This paper consists of two parts. In part I some new relations for a field theory with time intervals are derived. One concept of field theory evaluated is complementarity, another is field operators both defined within a time interval description. Part II includes specific results and commentary. Discussed are time interval dependent wave propagation surfaces for star source emission waves and derived is a metric propagation surface area requirement. The results allow to consider one same field that like gravitation within General Relativity applies to both non zero and zero mass. The associated field energy is space time dependent for non zero mass, and is related to a space time dependent metric tensor for zero mass wave particles. Defined is internal energy transfer where wave particle numbers increase linearly and mass and momentum diminish, decrease inversely with the distance from the wave emission source. The commentary are applications related to cosmological overall volume and temperature dependence.

scholarly journals Secondary meanings of the Verb chyk= ~ sykh= ‘to go out, to leave’ in Southern Siberian Turkic languages and Kipchak languages

2020 ◽  
pp. 85-99
Author(s):  
O. Yu. Shagdurova ◽  
E. V. Tyuntesheva
Keyword(s):  
World View ◽  
Space Time ◽  
Semantic Structure ◽  
Time Interval ◽  
Motion Verbs ◽  
Temporal Intervals ◽  
Turkic Languages ◽  
Temporal Aspect ◽  
Linguistic Groups ◽  
To Come

The article describes the semantic structure of one of the most polysemantic motion verbs in Turkic languages, namely the verb čïq= ~ sïx= and the correlating Tuvan verb ün=. The secondary meanings of these verbs in South- ern Siberian Turkic languages (Altai, Khakas, Tuvan) are analyzed in comparison with Kipchak languages. The verb čïq= ~ sïx= has been actively developing its meaning since it was fixed in the ancient Turkic monuments. This verb was found to possess similar meanings in various Turkic languages. At the same time, čïq= ~ sïx= is combined with different words in these languages. Regional values or values specific to specific languages are also detected. The languages under consideration are divided according to the action values expressed by constructions with the verb čïq= and its analogs: the beginning in the Turkic languages of Siberia and the completion, exhaustion of action in non-Siberian languages. It may be a manifestation of Mongolian influence on the Siberian languages, since the semantics of initialization is characteristic of the Mongolian gar=, the semantic structure of which is almost similar to the Turkic čïq= and ün=. The secondary meanings of the verb considered reflect the representations of linguistic groups associated with such concepts as top / bottom, previous / subsequent (in time). The semantics of čïq= ~ sïx= and ün= reflects the spatial-temporal aspect of the Turkic world view. These verbs combine the meanings of various vectors of direction (horizontally and vertically), as well as motions taking place on various spatial-temporal intervals, including the opposite ones: the manifestation of an object / the beginning of an action (to appear / to begin; to begin, to start some activity); the action during some space-time interval (to overcome any space / to overcome any period; to happen, to occur); the disappearance of an object / the completion of an action (to disappear / to come to an end; to finish, to complete some activity).

Local Space-Time Adaptive Discontinuous Galerkin Finite Element Methods for Time-Dependent Waves

2003 ◽  
Author(s):  
Lonny L. Thompson ◽  
Dantong He
Keyword(s):  
Discontinuous Galerkin ◽  
Acoustic Radiation ◽  
Adaptive Strategy ◽  
Adaptive Methods ◽  
Space Time ◽  
Time Dependent ◽  
Time Interval ◽  
Time Step ◽  
Continuous Space ◽  
Local Space

Local space-time adaptive methods are developed including high-order accurate nonreflecting boundary conditions (NRBC) for time-dependent waves. The time-discontinuous Galerkin (TDG) variational method is used to divide the time-interval into space-time slabs, the solution advanced from one slab to the next. Within each slab, a continuous space-time mesh is used which enables local sub-time steps. By maintaining orthogonality of the space-time mesh and pre-integrating analytically through the time-slab, we obtain an efficient yet robust local space-time adaptive method. Any standard spatial element may be used together with standard spatial mesh generation and visualization methods. Recovery based error estimates are used in both space and time dimensions to determine the number and size of local space-time elements within a global time step such that both the spatial and temporal estimated error is equally distributed throughout the space-time approximation. The result is an efficient and reliable adaptive strategy which distributes local space-time elements where needed to accurately track time-dependent waves over large distances and time. Numerical examples of time-dependent acoustic radiation are given which demonstrate the accuracy, reliability and efficiency gained from this new technology.

Some Results for a Time Interval Approach to Field Theory and Gravitation

2021 ◽  
Author(s):  
Harmen Henricus Hollestelle
Keyword(s):  
Field Theory ◽  
Space Time ◽  
Time Dependent ◽  
Field Energy ◽  
Time Interval ◽  
Time Intervals ◽  
Metric Tensor ◽  
Zero Mass ◽  
Interval Approach ◽  
Wave Emission

This paper consists of two parts. In part I some new relations for a field theory with time intervals are derived. One concept of field theory evaluated is complementarity, another is operators however both defined within a time interval description. Part II includes specific results and commentary. Discussed are time interval dependent wave propagation surfaces for star source emission waves and derived is a metric surface area requirement for propagation surfaces. The results allow to consider one field that like gravitation within General Relativity applies to both non zero and zero mass. The associated field energy is space time dependent for non zero mass, and is related to a space time dependent metric tensor for zero mass wave particles. Defined is internal energy transfer where wave particle numbers increase linearly and mass and momentum diminish, decrease inversely with the distance from the wave emission source. The commentary are applications related to cosmological overall volume and temperature dependence.

Quelques remarques sur la conception actuelle du terme "cordillere" dans les Alpes internes francaises

1957 ◽  
Vol S6-VII (4-5) ◽  
pp. 463-474 ◽  
Author(s):  
Jacques Debelmas
Keyword(s):  
Major Element ◽  
Space Time ◽  
Time Interval ◽  
Field Observations ◽  
Modern Approach ◽  
French Alps ◽  
Variable Time ◽  
And Behavior ◽  
Original Concept

Abstract The term "cordillera" is being applied more and more frequently to structures whose origin was of lesser magnitude in terms of space, time, and behavior than the original concept of an orogenically active major element of submarine relief. When field observations do not reveal the presence of embryonic "nappes," the tendency is to consider the cordillera as representing a state of orogenic activity affecting a particular area of a geosyncline, during a variable time interval, which is not perforce related, at least not directly, with the breaking off of nappes. This modern approach is applied to an analysis of the inner French Alps.

scholarly journals Variola minor in Bragança Paulista County, 1956: lack of evidence indicating the influence of contaminated classrooms on spread of the disease

1974 ◽  
Vol 72 (2) ◽  
pp. 281-288 ◽  
Author(s):  
Melville R. Klauber ◽  
Juan J. Angulo
Keyword(s):  
Elementary School ◽  
School Children ◽  
Elementary School Children ◽  
Interaction Analysis ◽  
Space Time ◽  
The Other ◽  
Time Interval ◽  
Time Interaction

SUMMARYSpace-time interaction analysis was applied to data from 101 elementary school children who contracted variola minor during an epidemic in Bragança Paulista County, Brazil. One school had two and the other three shifts of students occupying the same classrooms each day. There was no evidence found for excessive numbers of cases to occur among unvaccinated students occupying the same desks or seated near the desks occupied by cases occurring during another shift. Only three cases occurred among the 31 unvaccinated students occupying desks of students with variola from other shifts. Only one of these three subsequent cases occurred at a time interval suggestive of transmission. For the three models tested there was no evidence of space-time interaction between time of onset of the disease and location of desk for pairs of students from different shifts.

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