The Fourier Transform and Pseudo-Randomness: Patterning Physical Space

General Physics is planning to develop sensor technology that involves the Fourier transform and mathematical deconvolution of phase space pictures with distributions of Riemann zeta functions and Penrose tilings in n-dimensional setups. A sensor in physical space, for example a traffic monitoring road wire, an optical sensor in the jungle under-layer, a survey of the diversity of butterflies in the Amazon, a satellite solid angle steradian light field study, and behaviors of fields of plasmas with probes in the modes are all mechanisms for generating the real space interpretation of connected diagrams and real space events again. The power of the Fourier transform is in generating pattern simplicity, a unity from multiplicity of position space. Connectedness of the Fourier analysis starts with the self-energy and then the O(1) connections, followed by O(2), O(3), and then O(n) where that connectedness is measured by the coarse grained field interaction of n bodies for example. The Fourier analysis is critiqued in that the exchange of a mathematical-physical interaction quantum in the position world necessitates some experiential modification. Basically, the modification of the Fourier distribution with some physicalism means that the experience of the physical real space is not captured by the transform. Incompleteness theorems suggest, of course, that the phase space picture is just a guess, at best, but an educated and patterned guess from a logical frame and work-flow.

A Fourier pattern brings forth discussions of the number theory, where the Penrose tiling, in essence an aperiodic crystal, or a Riemann zeta prime product, combine in some way that resembles pseudo-randomness. What can the General Physics scientists glean from pseudo-random quantum sensors, is something tangible. General Physics and Zurich Instruments are collaborating on molecular circuit waveform lock-in amplifiers to move past the experiential sine and cosine, to a phased array picture of total space filling curves.

There has been discussion of the finite nature of the universe, with IR and UV divergences playing with the CMB and inflation. Hubble constant analysis from the Fourier transform could imply cyclic model theory. We need a better thermodynamics and a physical-mathematical hybrid structure. General Physics scientists are working to develop a programmable time-stamped fundamental theorem of calculus that incorporates the evolutionary inflation of the universe with the amplitude function of string theory, a function of space and time.

The Fourier approach gives us a pattern of connected diagrams. What we have is the three space reality (x,y,z) transforming into a logical and natural causative all space and all time superposition of states in a thermodynamics that is the string geodesic landscape. All points are distinguishable, and all matter is unique.

The approach is the Fourier transform in the design, simulation, manufacture, operation and maintenance workflow where the simulation part and patterning are done with the scientific method and a frequency space understanding of the periodicity of events. The pattern defines our world, and General Physics attempts to find that pattern through advanced combinations of physical-mathematical science and monitoring. The functions that define the workflow, from design to maintenance, are all patterned and understood through the Fourier analysis. What is random in physical space, must be deconvoluted into phase space, maintaining the critical isomorphism of physicalism.