The proposed UQFT is based on an integrated quanta scheme providing 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. It also supports the aspiration of A. Unzicker's "mathematical reality", to "
Sept. 10, 2024 update: pp. 31, 32-33
The Krein space based hermitian (dynamics) 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 potential function V(x). The primes (excluding the integer "2", which 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 is based on the conceptually different Schnirelmann densities of the odd (= a half) the even integers (= zero). Physically speaking, the two different Schnirelmann densities determine a kind of density distributions of the two vacuum quanta, the electrinos (odd integer related) and the positrinos (even integer related). The binary Goldbach conjecture states that every positive even number n>2 is the sum of two primes. The claim is, that the additional "prime number density function" with domain 0<x<1 provides an alternative two-semicircle 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.
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