May 25, 2023 update: abstract
May 30, 2023 update Feynman, Helmholtz, Kramers, Rollnik, Schpolski, Spatschek, Treder
Dec 2, 2020
The proposed model of perpendicular (mechanical, potential, and ground state energy) worlds is about a purely mathematical dynamical world (electrinos & positrinos, quanta information) and a physical-mathematical kinematical and potential anergy world (physical space, physical time, physical mass / matter, physical forces, and actions), including a biological-physical world (atoms & molecules, viruses & cells, biological information, Schrödinger’s concept of biologically relevant repeated differentials (*), Husserl's concept of internal time-consciousness, (HuE)). The „two-mechanical vs. dynamical realities“ fit to M. Planck‘s distinction between physical-statistical type of laws and „dynamical“ laws, (PlM), and to E. Schrödinger’s two principles, „order from order“ and „order from disorder“ differentiating between the two related underlying mechanisms of biological and physical laws governing regular courses of events, (ScE). The „energetical world decomposition“ model in combination with concepts like potentials, potential operators, hyperboloids in Krein space theory and least action principles also supports A. Unzicker’s vision „ Home | Alexander Unzicker (alexander-unzicker.de)
In summary
The proposed two complementary mechanical and dynamical energy field "Worlds" are built by an orthogonal sum of apropriately defined kinetical, potential, and ground state energy "worlds". There are four groups of related mechanical and dynamical energy quanta. Those energy quanta are appropriately composed by two fundamental mathematical quanta, electrinos and positrinos, governed by appropriately chosen sets of quantum numbers. The corresponding rules to build the sets of composed quanta numbers from the fundamental two quanta are purely governed by mathematical rules motivated by number theory. The new "complementary energy worlds", which are compactly embedded into an overall fractional total energy "world" enable a solution of the 3D-Navier-Stokes millennium problem of the Clay Mathematics Institute. At the same time, the new quanta energy element concept distinguishing between kinematical and dynamical quanta types governed by "world"-specific least action potential function approximations makes the Yang-Mills equations obsolete, i.e., the related "mass gap (millennium) problem" disappears.
The link of the proposed plasma quanta potential model to the Riemann Hypothesis is when " Following the idea of the above, which is in line with Planck's concept of a statistical and a dynamical physical world, the underling operator of the Hilbert-Polya conjecture (accompanied by a properly defined domain) may be represented by the sum of two Hermitian operators, where one operator is in line with the (statistical relevant) Montgomey-Odlyzko law and a second operator represents a related "chaotic dynamical" operator. Then, both operators together provide an alternative operator to the Berry-Keating "quantized" classical Hamiltonian operator of a particle of mass m that is moving under the influence of a potential V(x).
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