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A Krein spaces based unified mathematical quanta field theory is provided. From the Mie theory the concept of discrete energy knots (accompanied by a correspondingly defined kinetic energy Hilbert space) is taken providing an appropriate modelling framework for a physical problem specific (self-adjoint) kinetic energy operator. From the correspondingly defined extended Krein space framework the concept of a (self-adjoint) potential energy operator is applied. It enables the definition of a related potential energy norm on all of the Krein space. The two quanta without "rest masses" (or better the "purely" potential energy field elements, the electrino and the positrino), may be interpreted as binary quanta information carriers enabling a link to information and consciousness theory. From a philosophical perspective the two mathematical potential energy field elements may be interpreted as monades: (WeH2) p. 51: „ (KnA) p. 55: „ For Leibniz natural processes can be derived from integral principles by the method of the maximum or minimum, (KnA). Mathematically speaking, this means that the action of (otherworldly) monads as observed in natural processes are least action (approximating "forces") solutions in the physical side world.
The proposed model of two perpendicular (kinetic and potential energy) worlds is about a purely mathematical dynamical world (electrinos & positrinos, quanta information) and a physical-mathematical kinematical world (physical space, physical time, physical mass / matter, physical forces), 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 differentiation between the two kinetic and potential energy worlds supports A. Unzicker’s vision „ Home | Alexander Unzicker (alexander-unzicker.de) The two perpendicular (kinetic and potential energy) worlds also relate to M. Harder's model of a "general duality theory" to unify relativity theory and quantum mechanics (structured space & time world vs. unstructured, not objectificable non-space & non-time world and opposite acting forces between those two worlds), requesting a narrative change in natural sciences from current upwards to down (complexity) causality thinking
In summary: In the current narrative the physics is scale dependent and decoupling. The down (complexity) causality thinking results into a degrease of the number of scales, while the number of «Nature» constants increases.The effect of the required auxiliary scales, cutoffs, etc. on the physics is encoded into the renormalization group equation. The "case" if there is no related (G-invariant) renormalization realisation (example ground state energy) is called "symmetry break down", (DeP1) p. 1119 ff.. THe first quantization was about Einstein's discrete energy parcels, the photons, the second quantization was about Dirac's electron spin 1/2 model, where the fine structure constant becomes an error term with regards to the Lamb shift phenomenon, which is not in line with the Dirac model
The case specific (classical continuum mechanics, plasma physics, solid state physics, galactic dynamics, theory of granular structure, nucleus + electronic cloud, QED) dynamics are accompanied by phenomenologically visible "forces" resp. "force pressures" (e.g. NSE pressure, Maxwell-Mie electric pressure), the Lamb shift, which originates from quantum effects of the electromagnetic field, or gravitational/cosmic "energy potential differences" and "background radiations". The related mathematical-physical models are variational approximation solutions of an underlying mathematical solution of a Krein space (energy inner product based) variational problem. The current role of physical constants (e.g. enabling mathematical "renormalization groups" in quantum field theory) changes to a "physical borderline role" governing the different physically relevant potential differences of the considered physical case area, (UnA2). An only metric space (usually a Riemannian manifold) framework (in line with a scale dependent and decoupling physics) without any geometric structure concept is enhanced by a Hilbert space framework, where a simple metric with scale becomes a norm, which is induced by an (energy) Hilbert space inner product defined by two Hermitian kinetic and potential energy operators. (*) (ScE1), Mind & Matter, p. 96: „
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The link of the proposed plasma quanta potential model to the Riemann Hypothesis is when "
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