scholarly journals Nonlocal quantum computing theory and Poincare cycle in spherical states

2021 ◽  
pp. 2150027
Author(s):  
C. H. Wu ◽  
Andrew Van Horn
Keyword(s):  
Quantum Computing ◽  
Rotational Symmetry ◽  
Space Time ◽  
One Dimensional ◽  
New Type ◽  
Nonlocal Quantum ◽  
Finite Space ◽  
State Relations ◽  
Spherical State ◽  
Poincaré Cycle

Four new fundamental nonlocal quantum computing diagonal operator-state relations are derived which model the interaction between two adjacent atoms of an entangled atomic chain. Each atom possesses four eigen-states. These relations lead to four momentum-space cyclic transformations and are used as the computation states in one-dimensional cellular automaton. Four interacting half-observable periodic planar states appear with the same Poincare cycle. Due to the space-time rotational symmetry of these operator-state relations, a new type of periodic spherical state can be constructed consisting of eight finite space-time quadrants as the special quantum computing result.

scholarly journals Special Finite Elements with Adaptive Strain Field on the Example of One-Dimensional Elements

2021 ◽  
Vol 11 (2) ◽  
pp. 609
Author(s):  
Tadeusz Chyży ◽  
Monika Mackiewicz
Keyword(s):  
Finite Elements ◽  
Strain Field ◽  
Main Idea ◽  
Deformation Field ◽  
Geometrical Parameters ◽  
Single Element ◽  
One Dimensional ◽  
New Type ◽  
Self Adaptation ◽  
Adaptation Method

The conception of special finite elements called multi-area elements for the analysis of structures with different stiffness areas has been presented in the paper. A new type of finite element has been determined in order to perform analyses and calculations of heterogeneous, multi-coherent, and layered structures using fewer finite elements and it provides proper accuracy of the results. The main advantage of the presented special multi-area elements is the possibility that areas of the structure with different stiffness and geometrical parameters can be described by single element integrated in subdivisions (sub-areas). The formulation of such elements has been presented with the example of one-dimensional elements. The main idea of developed elements is the assumption that the deformation field inside the element is dependent on its geometry and stiffness distribution. The deformation field can be changed and adjusted during the calculation process that is why such elements can be treated as self-adaptive. The application of the self-adaptation method on strain field should simplify the analysis of complex non-linear problems and increase their accuracy. In order to confirm the correctness of the established assumptions, comparative analyses have been carried out and potential areas of application have been indicated.

A casuality group in finite space-time

1972 ◽  
Vol 10 (1) ◽  
pp. 19-36 ◽  
Author(s):  
A. A. Blasi ◽  
F. Gallone ◽  
A. Zecca ◽  
V. Gorini
Keyword(s):  
Space Time ◽  
Finite Space

scholarly journals A space-time adaptive method for reservoir flows: formulation and one-dimensional application

2017 ◽  
Vol 22 (1) ◽  
pp. 107-123 ◽  
Author(s):  
Savithru Jayasinghe ◽  
David L. Darmofal ◽  
Nicholas K. Burgess ◽  
Marshall C. Galbraith ◽  
Steven R. Allmaras
Keyword(s):  
Adaptive Method ◽  
Space Time ◽  
One Dimensional

scholarly journals Effect of GUP on the Kepler problem and a variable minimal length

2014 ◽  
Vol 92 (6) ◽  
pp. 484-487 ◽  
Author(s):  
Fatemeh Ahmadi ◽  
Jafar Khodagholizadeh
Keyword(s):  
Cosmological Constant ◽  
Uncertainty Principle ◽  
Kepler Problem ◽  
Rotational Symmetry ◽  
Generalized Uncertainty Principle ◽  
Space Time ◽  
Minimal Length ◽  
De Sitter ◽  
Heisenberg Uncertainty Principle ◽  
Perihelion Shift

Various approaches to quantum gravity, such as string theory, predict a minimal measurable length and a modification of the Heisenberg uncertainty principle near the Plank scale, known as the generalized uncertainty principle (GUP). Here we study the effects of GUP, which preserves the rotational symmetry of the space–time, on the Kepler problem. By comparing the value of the perihelion shift of the planet Mercury in Schwarzschild – de Sitter space–time with the resultant value of GUP, we find a relation between the minimal measurable length and the cosmological constant of the space–time. Now, if the cosmological constant varies with time, we have a variable minimal length in the space–time. Finally, we investigate the effects of GUP on the stability of circular orbits.

The almost sure central limit theorem for one-dimensional nearest-neighbour random walks in a space-time random environment

2004 ◽  
Vol 41 (01) ◽  
pp. 83-92 ◽  
Author(s):  
Jean Bérard
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Random Walks ◽  
Central Limit ◽  
Random Environment ◽  
Space Time ◽  
Nearest Neighbour ◽  
One Dimensional ◽  
The Central Limit Theorem ◽  
Almost All

The central limit theorem for random walks on ℤ in an i.i.d. space-time random environment was proved by Bernabeiet al.for almost all realization of the environment, under a small randomness assumption. In this paper, we prove that, in the nearest-neighbour case, when the averaged random walk is symmetric, the almost sure central limit theorem holds for anarbitrarylevel of randomness.

scholarly journals Causality constraints on hadron production in high energy collisions

2014 ◽  
Vol 23 (04) ◽  
pp. 1450019 ◽  
Author(s):  
Paolo Castorina ◽  
Helmut Satz
Keyword(s):  
Baryon Number ◽  
Heavy Ion ◽  
High Energy ◽  
Hadron Production ◽  
Space Time ◽  
Horizon Problem ◽  
Ion Interactions ◽  
Quantum Numbers ◽  
High Energy Collisions ◽  
Finite Space

For hadron production in high energy collisions, causality requirements lead to the counterpart of the cosmological horizon problem: the production occurs in a number of causally disconnected regions of finite space-time size. As a result, globally conserved quantum numbers (charge, strangeness, baryon number) must be conserved locally in spatially restricted correlation clusters. This provides a theoretical basis for the observed suppression of strangeness production in elementary interactions (pp, e+e-). In contrast, the space-time superposition of many collisions in heavy ion interactions largely removes these causality constraints, resulting in an ideal hadronic resonance gas in full equilibrium.

Space-time modulation of electric boundary conditions in a one-dimensional piezoelectric phononic crystal

2017 ◽  
Vol 141 (5) ◽  
pp. 3743-3743
Author(s):  
Charles Croënne ◽  
Olivier Bou Matar ◽  
Jérôme O. Vasseur ◽  
Anne-Christine Hladky-Hennion ◽  
Pierre A. Deymier ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Phononic Crystal ◽  
Space Time ◽  
One Dimensional ◽  
Time Modulation
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