scholarly journals Point-particle solution and the asymptotic flatness in 2+1D Hořava gravity

2019 ◽  
Vol 100 (6) ◽  
Author(s):  
Jorge Bellorín ◽  
Byron Droguett
Keyword(s):  
Point Particle ◽  
Asymptotic Flatness ◽  
Horava Gravity ◽  
Particle Solution

Best Matching: Technical Details

2018 ◽  
Author(s):  
Flavio Mercati
Keyword(s):  
Point Particle ◽  
Euclidean Group ◽  
Scale Invariant ◽  
Similarity Group ◽  
N Body Problem ◽  
Technical Details ◽  
Matching Procedure ◽  
Principal Fibre ◽  
Principal Fibre Bundle ◽  
Gauge Connection

The best matching procedure described in Chapter 4 is equivalent to the introduction of a principal fibre bundle in configuration space. Essentially one introduces a one-dimensional gauge connection on the time axis, which is a representation of the Euclidean group of rotations and translations (or, possibly, the similarity group which includes dilatations). To accommodate temporal relationalism, the variational principle needs to be invariant under reparametrizations. The simplest way to realize this in point–particle mechanics is to use Jacobi’s reformulation of Mapertuis’ principle. The chapter concludes with the relational reformulation of the Newtonian N-body problem (and its scale-invariant variant).

The kinematics of a point particle

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Internal Structure ◽  
Proper Time ◽  
World Line ◽  
Point Particle ◽  
Material Point ◽  
Spatial Extent ◽  
Geometric Representation ◽  
Mathematical Result ◽  
Point Particles ◽  
The World

This chapter discusses the kinematics of point particles undergoing any type of motion. It introduces the concept of proper time—the geometric representation of the time measured by an accelerated clock. It also describes a world line, which represents the motion of a material point or point particle P, that is, an object whose spatial extent and internal structure can be ignored. The chapter then considers the interpretation of the curvilinear abscissa, which by definition measures the length of the world line L representing the motion of the point particle P. Next, the chapter discusses a mathematical result popularized by Paul Langevin in the 1920s, the so-called ‘Langevin twins’ which revealed a paradoxical result. Finally, the transformation of velocities and accelerations is discussed.

scholarly journals Asymptotic flatness and nonflat solutions in the critical $$2+1$$ Hořava theory

2021 ◽  
Vol 53 (2) ◽  
Author(s):  
Jorge Bellorín ◽  
Claudio Bórquez ◽  
Byron Droguett
Keyword(s):  
Asymptotic Flatness

scholarly journals The Little-Bang and the femto-nova in nucleus-nucleus collisions

2021 ◽  
Vol 31 (1) ◽  
Author(s):  
Nu Xu ◽  
Kenji Fukushima ◽  
Bedangadas Mohanty
Keyword(s):  
Collision Energy ◽  
Particle Production ◽  
Gluon Plasma ◽  
Baryon Density ◽  
Point Particle ◽  
Current Status ◽  
Density Region ◽  
Qcd Critical Point ◽  
Qcd Phase Diagram ◽  
Lower Collision Energy

AbstractWe make a theoretical and experimental summary of the state-of-the-art status of hot and dense QCD matter studies on selected topics. We review the Beam Energy Scan program for the QCD phase diagram and present the current status of the search for the QCD critical point, particle production in high baryon density region, hypernuclei production, and global polarization effects in nucleus-nucleus collisions. The available experimental data in the strangeness sector suggests that a grand canonical approach in the thermal model at high collision energy makes a transition to the canonical ensemble behavior at low energy. We further discuss future prospects of nuclear collisions to probe properties of baryon-rich matter. Creation of a quark-gluon plasma at high temperature and low baryon density has been called the “Little-Bang” and, analogously, a femtometer-scale explosion of baryon-rich matter at lower collision energy could be called the “femto-nova”, which could possibly sustain substantial vorticity and a magnetic field for non-head-on collisions.

scholarly journals Interaction-tailored organization of large-area colloidal assemblies

2018 ◽  
Vol 9 ◽  
pp. 1582-1593 ◽  
Author(s):  
Silvia Rizzato ◽  
Elisabetta Primiceri ◽  
Anna Grazia Monteduro ◽  
Adriano Colombelli ◽  
Angelo Leo ◽  
...  
Keyword(s):  
Film Formation ◽  
Low Cost ◽  
Interparticle Distance ◽  
Particle Interactions ◽  
Polystyrene Spheres ◽  
Large Area ◽  
Nanoscale Patterning ◽  
Particle Solution ◽  
Number Of Particles ◽  
Deposition Conditions

Colloidal lithography is an innovative fabrication technique employing spherical, nanoscale crystals as a lithographic mask for the low cost realization of nanoscale patterning. The features of the resulting nanostructures are related to the particle size, deposition conditions and interactions involved. In this work, we studied the absorption of polystyrene spheres onto a substrate and discuss the effect of particle–substrate and particle–particle interactions on their organization. Depending on the nature and the strength of the interactions acting in the colloidal film formation, two different strategies were developed in order to control the number of particles on the surface and the interparticle distance, namely changing the salt concentration and absorption time in the particle solution. These approaches enabled the realization of large area (≈cm2) patterning of nanoscale holes (nanoholes) and nanoscale disks (nanodisks) of different sizes and materials.

scholarly journals SPACE–TIME STRUCTURE AND SPINOR GEOMETRY

2008 ◽  
Vol 50 (2) ◽  
pp. 143-176 ◽  
Author(s):  
GEORGE SZEKERES ◽  
LINDSAY PETERS
Keyword(s):  
Cosmological Solution ◽  
Space Time ◽  
Time Structure ◽  
Variation Principle ◽  
Field Equations ◽  
Covering Group ◽  
Space Time Structure ◽  
Spinor Geometry ◽  
Complete Set ◽  
Particle Solution

AbstractThe structure of space–time is examined by extending the standard Lorentz connection group to its complex covering group, operating on a 16-dimensional “spinor” frame. A Hamiltonian variation principle is used to derive the field equations for the spinor connection. The result is a complete set of field equations which allow the sources of the gravitational and electromagnetic fields, and the intrinsic spin of a particle, to appear as a manifestation of the space–time structure. A cosmological solution and a simple particle solution are examined. Further extensions to the connection group are proposed.

scholarly journals Asymptotic flatness at spatial infinity in higher dimensions

2009 ◽  
Vol 50 (7) ◽  
pp. 072502 ◽  
Author(s):  
Kentaro Tanabe ◽  
Norihiro Tanahashi ◽  
Tetsuya Shiromizu
Keyword(s):  
Higher Dimensions ◽  
Spatial Infinity ◽  
Asymptotic Flatness
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