Big Bang singularity
takini-ye Big Bang
Fr.: singularité du Big Bang
A hypothetical state of → infinite energy density representing an infinite → gravitational field and infinite → space-time curvature. The singularity arises from using Einstein's theory of → general relativity concerning gravity. We know, however, that when the density and heat become extremely large, quantum physics of gravity becomes important. Yet Einstein's equations ignore quantum effects. In other words, in certain extreme conditions, Einstein's equations do not apply.
takini-ye âqâzin (#)
Fr.: singularité initiale
An instant of infinite density, infinite pressure, and infinite temperature where the equations of general relativity break down, if the standard Big Bang theory is extrapolated all the way back to time zero. → singularity.
takini-ye berehné (#)
Fr.: singularité nue
A singularity that is not surrounded by an event horizon. It will therefore be visible and communicable to the outside world.
Fr.: matrice non singulière
Fr.: singularité de Schwarzschild
Math.: 1) Of or pertaining to a linear transformation from a vector space
to itself that is not one-to-one.
M.E., from O.Fr. singuler "single, separate," from L. singularis "single, solitary," from singulus "one, individual, separate," from sim- (stem of simplus) + diminutive suffix.
Takin, from tak "single, alone," related to tâq "odd, single," tâ, tâh "piece, part; fold, plait, ply;" Mid.Pers. tak "single," tâg, tâk, tâi "unit, piece, after numerals" + -in adj. suffix.
singular isothermal sphere
kore-ye izodamâ-ye takin
Fr.: sphère isotherme singulère
In models of star formation, an isothermal sphere in which the density distribution in the static or nearly static outer envelope obeys an r-2 power law. In the limit of infinite central concentration, the unstable equilibrium approaches the singular isothermal sphere which has the density and mass distributions ρ(r) = (a2/2πG)r-2 and M(r) = (2a2/G)r, where a is the isothermal → sound speed inside the cloud, G is the → gravitational constant, and r the distance from the center (F. H. Shu, 1977, ApJ 214, 488).
Fr.: matrice singulière
Fr.: point singulier
Fr.: solution singulière, ~ particulière
1) Math.: A point at which a given mathematical object is not defined.