Ripley's " K " and " L " functions are closely related descriptive statistics for detecting deviations from spatial homogeneity.
2.
Causality should not be confused with Newton's second law, which is related to the conservation of momentum, and is a consequence of the spatial homogeneity of physical laws.
3.
For Planck, the primary characteristic of a thermodynamic state of a system that consists of a single phase, in the absence of an externally imposed force field, is spatial homogeneity.
4.
Two noteworthy features are : its linearity & mdash; it is composed only of multiplications and additions, and its spatial homogeneity & mdash; it is the same in all positions and orientations.
5.
The second law of thermodynamics indicates the irreversibility of natural processes, and, in many cases, the tendency of natural processes to lead towards spatial homogeneity of matter and energy, and especially of temperature.
6.
There are two different concepts mentioned here, sharing the same name : ( a ) the mathematical concept of degree-1 homogeneity in the scaling function; and ( b ) the physical concept of the spatial homogeneity of the system.
7.
Penrose views the Weyl curvature hypothesis as a physically more credible alternative to cosmic inflation ( a hypothetical phase of accelerated expansion in the early life of the universe ) in order to account for the presently observed almost spatial homogeneity and isotropy of our universe.
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