Another relevant feature of the CARS method is the quadratic CARS signal dependence on concentration of matter.
It was concluded that a dumbbell has a larger concentration of matter along the direction of the magnetic field and hence, with respect to motion in the tangential direction, a higher magnetisation.
The only thing we have to remember is that probabilities add up to 1 – the system must be in some microstate – so that the total concentration of matter at all vertices should be kept at 1.
But as the concentrations of matter grew, the ordinary matter began to do what ordinary matter does, radiating away some of its heat as it was compressed.
That expansion would have "locked in" the universe's initial uniform state by stopping local concentrations of matter from forming.
He managed to do so in the case of black holes, concentrations of matter so dense that, at least according to classical physics, not even light can escape their gravitational grip.
Regions rich in distorted galaxies were assumed to be places where large amounts of matter were present between the distorted galaxies and Earth.That, however, only provided the researchers with a two-dimensional map of such concentrations of matter.
Some researchers, however, reasoned that it ought to carry imprints of the slight concentrations of matter that must have existed in the early universe if structures such as galaxies and eventually stars and planets were going to form.
The simulations reveal sharp concentrations of matter at the centers of galaxies that do not seem to be there in the real universe, as well as many more small satellite galaxies swarming around their larger cousins -- big galaxies like the Milky Way -- than are observed.
Photons that hailed from regions of space that happened to have greater-than-average concentrations of matter had to expend more energy to escape the extra gravitational tug, and so appear to us today to have slightly less energy than photons that came from underdense regions.
In other words, if we imagine placing concentrations of matter at each vertex and allowing the chemistry to work, then the change in concentrations over time is identical to the change in probabilities over time.
