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One possible explanation of the cold spot is a huge void between us and the primordial CMB. A region cooler than surrounding sightlines can be observed if a large void is present, as such a void would cause an increased cancellation between the "late-time" integrated Sachs–Wolfe effect and the "ordinary" Sachs–Wolfe effect. [10]
Thus, if entropy is associated with disorder and if the entropy of the universe is headed towards maximal entropy, then many are often puzzled as to the nature of the "ordering" process and operation of evolution in relation to Clausius' most famous version of the second law, which states that the universe is headed towards maximal "disorder".
For an open thermodynamic system in which heat and work are transferred by paths separate from the paths for transfer of matter, using this generic balance equation, with respect to the rate of change with time of the extensive quantity entropy , the entropy balance equation is: [54] [55] [note 1] = = ˙ ^ + ˙ + ˙ where = ˙ ^ is the net rate ...
Entropy is described as measuring the energy dispersal for a system by the number of accessible microstates, the number of different arrangements of all its energy at the next instant. Thus, an increase in entropy means a greater number of microstates for the final state than for the initial state, and hence more possible arrangements of a ...
The Local Void is a vast, empty region of space, lying adjacent to the Local Group. [ 3 ] [ 4 ] Discovered by Brent Tully and Rick Fisher in 1987, [ 5 ] the Local Void is now known to be composed of three separate sectors, separated by bridges of "wispy filaments ". [ 4 ]
Both the logistic map and the sine map are one-dimensional maps that map the interval [0, 1] to [0, 1] and satisfy the following property, called unimodal . = =. The map is differentiable and there exists a unique critical point c in [0, 1] such that ′ =. In general, if a one-dimensional map with one parameter and one variable is unimodal and ...
In mathematics, a measure-preserving dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Measure-preserving systems obey the Poincaré recurrence theorem, and are a special case of conservative systems.
A map of the Boötes Void. The Boötes Void (/ b oʊ ˈ oʊ t iː z / boh-OH-teez) (colloquially referred to as the Great Nothing) [1] is an approximately spherical region of space found in the vicinity of the constellation Boötes, containing only 60 galaxies instead of the 2,000 that should be expected from an area this large, hence its name.