Focusing on hadron scattering at large partonic momentum fractions x, we compare nonperturbative QCD predictions for the asymptotic behavior of DIS structure functions and parton distribution (PDFs) to x Q dependence phenomenological PDFs. In CT18 NNLO global analysis, higher-order radiative contributions functional mimicry PDF parametrizations result in about one unit uncertainty effective pow...

We demonstrate the phenomenon of self organized criticality (SOC) in a simple random walk model described by a random walk of a myopic ant. The ant acts on the underlying lattice aiming at uniform digging of the surface but is unaffected by the underlying lattice. In 1-d, 2-d and 3-d we have explored this model and have obtained power laws in the time intervals between consecutive events of ‘di...

In this paper it will be argued that causal laws describe the actions of causal powers. The process which results from such an action is one which belongs to a natural kind, the essence of which is that it is a display of this causal power. Therefore, if anything has a given causal power necessarily, it must be naturally disposed to act in the manner prescribed by the causal law describing the ...

This paper studies concentration (i.e. inequality) aspects of the functions of Zipf and of Lotka. Since both functions are power laws (i.e. they are – mathematically the same) it suffices to develop one concentration theory for power laws and apply it twice for the different interpretations of the laws of Zipf and Lotka. After a brief repetition of the functional relationships between Zipf’s la...

In this book, we shall adopt a different viewpoint on the laws of physics than that found in most elementary texts. In elementary textbooks, the laws are expressed in terms of quantities (locations in space or spacetime, momenta of particles, etc.) that are measured in some coordinate system or reference frame. For example, Newtonian vectorial quantities (momenta, electric fields, etc.) are tri...