Steepest Descent Trajectories on Isosurfaces of the Scalar Field and of Fluctuations of the Scalar Curvature

Research output: Contribution to journalArticle

Abstract

It has been shown that steepest descent trajectories on an isosurface of the scalar field or of fluctuations of the scalar curvature can serve as the geometric skeleton of galaxies, these trajectories simultaneously being isolines of the isosurface. Isolines and isosurfaces can generate matter via the mechanism of spontaneous emission of the Lemaître–Friedmann primordial atom. Steepest descent trajectories on an isosurface of fluctuations of the scalar curvature can also serve as the skeleton of quantum inhomogeneities of the density in GTR.

Original languageEnglish
JournalRussian Physics Journal
DOIs
Publication statusAccepted/In press - 10 May 2015

Fingerprint

descent trajectories
curvature
scalars
musculoskeletal system
spontaneous emission
inhomogeneity
trajectories
galaxies
atoms

Keywords

  • conchoids and lemniscates of Bernoulli of the scalar curvature and the scalar field
  • fluctuations of the relic scalar curvature
  • spirals
  • steepest descent trajectories
  • the Lemaître–Friedmann primordial atom

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

@article{d6054067ff6f42949fe46cbd4a1b0d1a,
title = "Steepest Descent Trajectories on Isosurfaces of the Scalar Field and of Fluctuations of the Scalar Curvature",
abstract = "It has been shown that steepest descent trajectories on an isosurface of the scalar field or of fluctuations of the scalar curvature can serve as the geometric skeleton of galaxies, these trajectories simultaneously being isolines of the isosurface. Isolines and isosurfaces can generate matter via the mechanism of spontaneous emission of the Lema{\^i}tre–Friedmann primordial atom. Steepest descent trajectories on an isosurface of fluctuations of the scalar curvature can also serve as the skeleton of quantum inhomogeneities of the density in GTR.",
keywords = "conchoids and lemniscates of Bernoulli of the scalar curvature and the scalar field, fluctuations of the relic scalar curvature, spirals, steepest descent trajectories, the Lema{\^i}tre–Friedmann primordial atom",
author = "Lasukov, {V. V.} and Moldovanova, {Evgeniia Alexandrovna} and Il’kin, {E. E.} and Novoselov, {V. V.} and Rozhkova, {S. V.} and Rozhkova, {O. V.}",
year = "2015",
month = "5",
day = "10",
doi = "10.1007/s11182-015-0456-2",
language = "English",
journal = "Russian Physics Journal",
issn = "1064-8887",
publisher = "Consultants Bureau",

}

TY - JOUR

T1 - Steepest Descent Trajectories on Isosurfaces of the Scalar Field and of Fluctuations of the Scalar Curvature

AU - Lasukov, V. V.

AU - Moldovanova, Evgeniia Alexandrovna

AU - Il’kin, E. E.

AU - Novoselov, V. V.

AU - Rozhkova, S. V.

AU - Rozhkova, O. V.

PY - 2015/5/10

Y1 - 2015/5/10

N2 - It has been shown that steepest descent trajectories on an isosurface of the scalar field or of fluctuations of the scalar curvature can serve as the geometric skeleton of galaxies, these trajectories simultaneously being isolines of the isosurface. Isolines and isosurfaces can generate matter via the mechanism of spontaneous emission of the Lemaître–Friedmann primordial atom. Steepest descent trajectories on an isosurface of fluctuations of the scalar curvature can also serve as the skeleton of quantum inhomogeneities of the density in GTR.

AB - It has been shown that steepest descent trajectories on an isosurface of the scalar field or of fluctuations of the scalar curvature can serve as the geometric skeleton of galaxies, these trajectories simultaneously being isolines of the isosurface. Isolines and isosurfaces can generate matter via the mechanism of spontaneous emission of the Lemaître–Friedmann primordial atom. Steepest descent trajectories on an isosurface of fluctuations of the scalar curvature can also serve as the skeleton of quantum inhomogeneities of the density in GTR.

KW - conchoids and lemniscates of Bernoulli of the scalar curvature and the scalar field

KW - fluctuations of the relic scalar curvature

KW - spirals

KW - steepest descent trajectories

KW - the Lemaître–Friedmann primordial atom

UR - http://www.scopus.com/inward/record.url?scp=84929095848&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84929095848&partnerID=8YFLogxK

U2 - 10.1007/s11182-015-0456-2

DO - 10.1007/s11182-015-0456-2

M3 - Article

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

ER -