105 citations · 529 across the 26 of their papers we have counts for
5 papers · 1 filter
The New Science of Complexity
J. L. McCauley
Deterministic chaos, and even maximum computational complexity, have been discovered within Newtonian dynamics. Economists assume that prices and price changes can also obey abstra…
Newtownian Relativity, Gravity, and Cosmology
J. L. McCauley
Well-known to specialists but little-known to the wider audience is that Newtonian gravity can be understood as geodesic motion in space-time, where time is absolute and space is E…
Nonintegrability, Chaos, and Complexity
J. L. McCauley
Two-dimensional driven dissipative flows are generally integrable via a conservation law that is singular at equilibria. Nonintegrable dynamical systems are confined to n*3 dimensi…
The Hentschel-Procaccia Conjecture
J. L. McCauley
Extensive confusion exists and persists in the literature on dynamical systems theory, cosmology, and other fields over spectra of fractal dimensions. Entirely different generating…
The Galaxy Distribution: Homogeneous, Fractal, or Neither
J. L. McCauley
From the standpoint of theoretical physics we can treat Newtonian cosmology as a problem in nonlinear dynamics. The attempt to average the density, in search of a method of making…