scholarly journals Lanczos potential of Weyl field: interpretations and applications

2021 ◽  
Vol 81 (2) ◽  
Author(s):  
Ram Gopal Vishwakarma
Keyword(s):  
Building Block ◽  
Physical Meaning ◽  
Potential Field ◽  
Tensor Field ◽  
Gravitational Force ◽  
Lanczos Potential ◽  
Fundamental Building Block ◽  
Domain Of Applicability ◽  
Relativistic Analogue ◽  
New Feature

AbstractAn attempt is made to uncover the physical meaning and significance of the obscure Lanczos tensor field which is regarded as a potential of the Weyl field. Despite being a fundamental building block of any metric theory of gravity, the Lanczos tensor has not been paid proper attention as it deserves. By providing an elucidation on this tensor field through its derivation in some particularly chosen spacetimes, we try to find its adequate interpretation. Though the Lanczos field is traditionally introduced as a gravitational analogue of the electromagnetic 4-potential field, the performed study unearths its another feature – a relativistic analogue of the Newtonian gravitational force field. A new domain of applicability of the Lanczos tensor is introduced which corroborates this new feature of the tensor.

Can a tensorial analogue of gravitational force explain away the galactic rotation curves without dark matter?

2021 ◽  
Author(s):  
Ram Gopal Vishwakarma
Keyword(s):  
Dark Matter ◽  
Tensor Field ◽  
Gravitational Force ◽  
Direct Detection ◽  
Alternative Theory ◽  
Galactic Rotation ◽  
Rotation Curves ◽  
Modern Physics ◽  
Flat Rotation Curves ◽  
Relativistic Analogue

The dark matter problem is one of the most pressing problems in modern physics. As there is no well-established claim from a direct detection experiment supporting the existence of the illusive dark matter that has been postulated to explain the flat rotation curves of galaxies, and since the whole issue of an alternative theory of gravity remains controversial, it may be worth to reconsider the familiar ground of general relativity (GR) itself for a possible way out. It has recently been discovered that a skew-symmetric rank-three tensor field — the Lanczos tensor field — that generates the Weyl tensor differentially, provides a proper relativistic analogue of the Newtonian gravitational force. By taking account of its conformal invariance, the Lanczos tensor leads to a modified acceleration law which can explain, within the framework of GR itself, the flat rotation curves of galaxies without the need for any dark matter whatsoever.

Immigration Dynamics and Changing Constructions of Jewish Nativeness in Israel

2019 ◽  
Author(s):  
Adane Zawdu ◽  
Sarah S. Willen
Keyword(s):  
Building Block ◽  
Social Boundaries ◽  
Institutional Practices ◽  
Political Dynamics ◽  
Fundamental Building Block ◽  
The People ◽  
Ancient Israel ◽  
State Of Israel ◽  
Historical Periods ◽  
Over Time

A fundamental building block of the Zionist vision is the claim of a primordial link between modern-day Jews and the people and territory of ancient Israel. This claim, which has proven remarkably durable despite its changing form and its tension with understandings of Palestinian indigeneity, continues to inform conceptions of nativeness in the modern-day state of Israel. This chapter explores how constructions of Jewish nativeness in Israel have changed in relation to successive immigration processes. Taking sociocultural and political dynamics as its focus, the chapter examines the cultural and institutional practices through which the notion of Jewish nativeness, its boundaries, and its logics of inclusion and exclusion were constructed and enforced in four historical periods. In each period, an increase in ethnic and religious heterogeneity challenged established notions of Jewish nativeness and membership in new ways. Although conceptions of Jewish nativeness have changed over time, they continue to shape social boundaries by signaling, and qualifying, membership in the Israeli collective.

Top-down Fabricated Gold Nanostrip on Silicon-on-insulator Wafer: A Promising Building Block towards Ultra-compact Optical Device

Nanoscale ◽  
2020 ◽  
Author(s):  
Fuping Zhang ◽  
Weikang Liu ◽  
Li Chen ◽  
Zhiqiang Guan ◽  
Hongxing Xu
Keyword(s):  
Optical Communication ◽  
Data Transmission ◽  
Building Block ◽  
High Speed ◽  
Large Data ◽  
Low Energy ◽  
Silicon On Insulator ◽  
Fundamental Building Block ◽  
Low Energy Consumption ◽  
Controllable Fabrication

he plasmonic waveguide is the fundamental building block for high speed, large data transmission capacity, low energy consumption optical communication and sensing. Controllable fabrication and simultaneously optimization of the propagation...

ChemInform Abstract: Elucidation of Tetraboric Acid with a New Borate Fundamental Building Block in a Chiral Uranyl Fluoroborate.

ChemInform ◽  
2013 ◽  
Vol 44 (5) ◽  
pp. no-no
Author(s):  
Shuao Wang ◽  
T. Gannon Parker ◽  
Daniel J. Grant ◽  
Juan Diwu ◽  
Evgeny V. Alekseev ◽  
...  
Keyword(s):  
Building Block ◽  
Fundamental Building Block

Load-Transmitter Constraint Sets: Part I—An Effective Tool for Visualizing Load Flow in Compliant Mechanisms and Structures

2010 ◽  
Author(s):  
Girish Krishnan ◽  
Charles Kim ◽  
Sridhar Kota
Keyword(s):  
Building Block ◽  
Deformation Behavior ◽  
Design Methodology ◽  
Compliant Mechanisms ◽  
Compliant Mechanism ◽  
Load Flow ◽  
Mathematical Framework ◽  
Design Synthesis ◽  
Fundamental Building Block ◽  
Block Based

Visualizing load flow aids in conceptual design synthesis of machine components. In this paper, we present a mathematical framework to visualize load flow in compliant mechanisms and structures. This framework uses the concept of transferred forces to quantify load flow from input to the output of a compliant mechanism. The key contribution of this paper is the identification a fundamental building block known as the Load-Transmitter Constraint (LTC) set, which enables load flow in a particular direction. The transferred force in each LTC set is shown to be independent of successive LTC sets that are attached to it. This enables a continuous visualization of load flow from the input to the output. Furthermore, we mathematically relate the load flow with the deformation behavior of the mechanism. We can thus explain the deformation behavior of a number of compliant mechanisms from literature by identifying its LTC sets to visualize load flow. This method can also be used to visualize load flow in optimal stiff structure topologies. The insight obtained from this visualization tool facilitates a systematic building block based design methodology for compliant mechanisms and structural topologies.

scholarly journals DUALITY INVARIANCE OF COSMOLOGICAL SOLUTIONS WITH TORSION

1999 ◽  
Vol 14 (31) ◽  
pp. 4953-4966 ◽  
Author(s):  
DEBASHIS GANGOPADHYAY ◽  
SOUMITRA SENGUPTA
Keyword(s):  
Physical Meaning ◽  
Tensor Field ◽  
Antisymmetric Tensor ◽  
Dilaton Field ◽  
Maximal Symmetry ◽  
Killing Vectors ◽  
Cosmological Solutions ◽  
Antisymmetric Tensor Field ◽  
Vacuum Solutions

We show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the O(d) ⊗ O(d) transformation on the vacuum solutions gives inequivalent solutions that are not maximally symmetric. We then show that the usual physical meaning of maximal symmetry can be made to remain unaltered even if torsion is present and illustrate this through two toy models by determining the torsion fields, the metric and Killing vectors. Finally we show that under the O(d) ⊗ O(d) transformation this generalized maximal symmetry can be preserved under certain conditions. This is interesting in the context of string related cosmological backgrounds.

scholarly journals The foundation of the hyperunified field theory I — Fundamental building block and symmetry

2021 ◽  
Author(s):  
Yue-Liang Wu
Keyword(s):  
Field Theory ◽  
Building Block ◽  
Particle Physics ◽  
Spinor Field ◽  
Space Time ◽  
Entangled State ◽  
Fundamental Symmetry ◽  
Fundamental Building Block ◽  
Minkowski Space Time ◽  
Type Symmetry

Starting from the motional property of functional field based on the action principle of path integral formulation while proposing maximum coherence motion principle and maximum locally entangled-qubits motion principle as guiding principles, we show that such a functional field as fundamental building block appears naturally as an entangled qubit-spinor field expressed by a locally entangled state of qubits. Its motion brings about the appearance of Minkowski space–time with dimension determined by the motion-correlation [Formula: see text]-spin charge and the emergence of [Formula: see text]-spin/hyperspin symmetry as fundamental symmetry. Intrinsic [Formula: see text]-spin charge displays a periodic feature as the mod 4 qubit number, which enables us to classify all entangled qubit-spinor fields and space–time dimensions into four categories with respect to four [Formula: see text]-spin charges [Formula: see text]. An entangled decaqubit-spinor field in 19-dimensional hyper-space–time is found to be a hyperunified qubit-spinor field which unifies all discovered leptons and quarks and brings on the existence of mirror lepton–quark states. The inhomogeneous hyperspin symmetry [Formula: see text] as hyperunified symmetry in association with inhomogeneous Lorentz-type symmetry [Formula: see text] and global scaling symmetry provides a unified fundamental symmetry. The maximum locally entangled-qubits motion principle is shown to lay the foundation of hyperunified field theory, which enables us to comprehend long-standing questions raised in particle physics and quantum field theory.

scholarly journals Discrimination of Skyrmion Chirality Via Spin-Orbit and -Transfer Torques for Logic Operation

2021 ◽  
Author(s):  
Yoshinobu Nakatani ◽  
Keisuke Yamada ◽  
Atsufumi Hirohata
Keyword(s):  
Thin Film ◽  
Building Block ◽  
Logic Circuits ◽  
Spin Transfer Torque ◽  
Spin Transfer ◽  
Spin Orbit ◽  
Electrical Detection ◽  
Magnetic Thin Film ◽  
Logic Operation ◽  
Fundamental Building Block

Abstract Recently many works on magnetic memories and logic circuits, which use a magnetic skyrmion have been reported. Previously we micromagnetically simulated a method to switch a chirality of a magnetic skyrmion formed in a magnetic thin film by introducing a pulsed heat spot. In this paper, we propose a method to discriminate the chirality of a skyrmion in a branched nanowire by using spin-orbit torque (SOT) and spin-transfer torque (STT), and confirm the validity of the method by using simulation. The simulated results show that the motion changes depending on the chirality when additional SOT is applied on a skyrmion moving in a branch by STT. This method can be used as a fundamental building block for electrical detection in memory and logic devices using the chirality of skyrmions as a data bit in addition to the presence (and polarity) of the skyrmions as conventionally used, which can be lead to multiple-valued operation.

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