The proposed quanta field theory is based on coherently defined physical quanta, which are different types of energetical (mechanical or dynamical) quantum elements. They are appropriately composed by two abstract (mathematical) quanta E. Schrödinger The principle of objectivation " E. Schrödinger
The proposed unified field theory provides an all-encompassing theory, where physical models of different physical areas are no longer decoupled and differently scaled according to their different levels of granularity. In particular, the integrated physical three layer modelling framework - enables a solution of the 3D-Navier-Stokes Millennium Problem of the Clay Mathematics Institute - overcomes the physical "YME mass gap" Millennium Problem of the Clay Mathematics Institute by making those equations obsolete - provides an appropriate mathematical model for the Landau damping phenomenon - accompanied by a H(1/2) based overall energy Hilbert space is in line with the Teichmüller theory and the universal period mapping via quantum calculus, (NaS), and the appropriate domains of the double layer (Prandtl) potential operator as applied e.g. in aerodynamics, (LiI) - supports the aspiration of A. Unzicker's "mathematical reality", to "
The Krein space based hermitian (potential) operators governing the vacuum quanta field may provide an alternative (selfadjoint) operator to the Berry-Keating "quantized" classical Hamiltonian operator of a particle of mass m that is moving under the influence of a problem specific to be defined potential function V(x). The provided proof of the Riemann Hypothesis is based on a decomposition of the meromorphic Zeta function (occuring in the symmetrical form of the Riemann functional equation) into a sum of integral and series representations. The "symmetrical" series representations provide a characterization of the non-trivial zeros z(n)=1/2+/-it(n) of the zeta function in relation to the vertical line (1/2-2n) +/- i*t(n). The primes (excluding the integer "2", the base number of the even numbers) are a subset of the odd integers. The conceptual design of the mathematical baseline quanta of the proposed quanta field theory, the electrinos and the positrinos forming the "ground state energy quanta field", is based on the different Schnirelmann densities of the odd resp. the even integers, a half resp. zero. Physically speaking, the Schnirelmann densities determines a kind of density distributions of the (odd integer related) electrinos and the (even integer related) positrinos of a mathematical "vacuum" quanta field. The binary Goldbach conjecture states that every positive even number n>2 is the sum of two primes. The claim is, that a "prime number density decomposition" in the above sense provides an alternative method to the standard Hardy-Littlewood circle method to prove the binary Goldbach conjecture.
The physical Montgomery-Odlyzko law states that the distribution of the spacing between successive non-trivial zeros of the zeta function is statistically identical with the distribution of eigenvalue spacing in a "Gaussian Unitary Ensemble". The claim is that the above conceptual modelling components also enable an appropriate mathematical model, where the physical Montgomery-Odlyzko law becomes the (L(2)-space based) statistical relevant part of the zeros distribution of the zeta function on or close to the critical line.
UFT related historical papers:
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