An Unified Quanta Field Theory (UQFT)

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 "form a consistent picture of reality by observing nature from the cosmos to elementary particles," (UnA2) and his announcement of a coming revolution in astro-physics, (UnA4).

Braun K., An integrated quanta field theory enabling a deductive structure of physics.pdf

                            Sept. 10, 2024 update: pp. 31, 32-33

Braun, K., A Krein space based quanta energy field model, supporting mathematics

Braun, K., Current physical and mathematical realities regarding an unified field theory

                                              

                               

Braun K., UFT related list of papers

   Relations to the Riemann Hypothesis and the Goldbach conjecture

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.

Braun K., A toolbox to solve the RH and to build a non-harmonic Fourier series based two-semicircle method

  

Polya Ueber eine neue Weise bestimmte Integrale in der Zahlentheorie zu gebrauchen

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. 

     

Braun K., The Montgomery-Odlyzko law, eigenvalue spacing in a collection of Gaussian unitary operators

            

(DeJ) Derbyshire J., Number theory meets quantum mechanics