Scale Invariant Turbulence: From Economic Modeling of Uncertainty to the Quark Gluon Plasma

Calculations of turbulent fluid dynamics have roots in particle theory however their deterministic and bulk behavior lack some of the quantum nature of uncertainty at the particle level. It might be good to start with the quark gluon and then the turbulent plasma of the stellar phenomenon or the confined fusion plasma at ignition. The reality of these systems is described in a model of macroscopic fluid flow. Optimization and efficiency are integral aspects of generalized diffusivity equations, continuity equations, and force-momentum formulas that determine the equations of bulk motion of continuous media. The nature of the continuum is one of advanced particle summations that only break down in extremes. One of these extremes is the rarefied plasma or the L mode plasma. What occurs here is the diffuse and spaced apart particles moving about without any characteristic nearby (nanometer combined with millisecond) nearest neighbor interactions. Everything in the motion, from kinetic theory to heat capacity calculations necessitates equations of motion that involve an inflationary and evolutionary description of reality. Newer calculus, maybe an external or internal calculus develops from a model of a Riemann zeta function tacked onto an integral - derivative pair to generate meta-data correlated spacetime evolved mathematics. This is quite different from traditional descriptions. What is occurring, however, is an isomorphism to the post-modern electronic A.I., SMS, digital connectionist revolution. Here neural networks and connected diagrams dominate. It is the turbulent network that is a perturbed matrix which Fourier transforms into a zeta function.

Turbulence of all these systems is basically defined by the topological network and then the physical network. Connected to this idea of physicalism, mentalism, and mathematical logical causation (logical causation and natural causation being tied together) is the idea that the turbulent dynamics that are strings of complexity or descriptions of complexity are the same and isomorphic to the emerging complex adaptive systems. The universe is a physical system with inherent information gathering systems that have associated turbulence related to momentum dependent momentum uncertainty. The quantum uncertainty manifests in the free will problem and the hard problem of consciousness. General Physics is hard at work trying to understand the nature of complex adaptive systems and how the natural world is turbulent and chaotic to the ends where all systems are similar in their basis of turbulence.

Prime numbered basis sets and a Riemann zeta function are the best way to approach turbulence and describe the system as a whole. For example, a quark gluon plasma contains a fundamental asymmetry that defines the Goldstone mode of frequency. Here the lattice of perfect point to multipoint interworking is expanded (v=HD) linearly and coherently like a time evolution operator in quantum mechanics. The decomposition of states in the reactor with fusion, is the same. The plasma contains a set of points that are constrained by fields. Mathematically, the connections between the quark gluon plasma and the fusion plasma in a tokamak or similar device are functions of turbulent Rayleigh-Jeans and Kelvin-Helmholtz instabilities. These unstable and irregular turbulent modes are parts of a system of equations that correlate spacetime to topology. The turbulence is scale invariant in that the entropy of information content and the nested physical system are parts of an evolutionary system of patterns that depend on a kernel of asymmetry. The fundamental basis is the prime numbered zeta index.

It is interesting to see turbulence in clouds, astrophysical super-clusters, economic systems, ecosystems, biological entities, and regular fluid flow. The nature of turbulence is connected to a quantum foam and a quantum uncertainty. The reality of the universe is that turbulence is also a pattern, a Riemann zeta pattern and a correlation of particle spacetime mass charge states with amplitude functions and a topological connectionist extension. General Physics is working to expand the ideas of isomorphic biophysics, turbulent plasma physics (MHD), and financial analysis. It is the physicalism of the financial world, connected to a mental and mathematical world, that generate the second quantization and turbulent modes in uncertain markets. Look for more posts later.