The current two paradigms of physics to be changed are

Paradigm 1:
The Newton and the Coulomb potentials to govern continuously distributed mass elements in the respective bounded Euclidian domain, (KeO)

Note: „Newton’s original law was stated in terms of a system of two particles/bodies attracting each other by the concept of a gravitational force. In order to deal with continuously distributed matter this law has been adopted (regarded as an amplified statement of Newton’s law):

Given two bodies, let them be divided into elements after the manner of the integral calculus, and let the mass of each element be regarded sd concentrated at some point of the element. Then attraction which one body exerts on the other is the limit of the attraction which the corresponding system of particles exerts on the second system of particles, as the maximum chord of the elements approaches zero“, (KeO) pp. 2-3.

Note (Debye sphere): The mathematical tool to distinguish between unperturbed cold and hot plasma is about the Debye length and the Debye sphere (DeR). The corresponding interaction (Coulomb) potential of the non-linear Landau damping model is based on the (Poisson) potential equation with corresponding boundary conditions.

Note: Vlasov’s argument against the Landau equation (supporting his Vlasov equation) was, that “the Landau model of pair collisions is formally not applicable to Coulomb interaction due to the divergence of the kinetic terms”. Because of its comparative simplicity, the Vlasov equation is the equation most commonly studied in kinetic plasma theory. 

Paradigm 2: 
The energetical mechanical one-system concept of Dirac's radiation theory

Note (E. Fermi): „Dirac‘s theory of radiation is based on a very simple idea; instead of considering an atom and the radiation field with which it interacts as two distinct systems, he treats them as a single system whose energy is the sum of three terms: one representing the energy of the atom, a second representating the electromagnetic energy of the radiation field, and a small term representing the coupling energy of the atom and the radiation field“, (FeE).

Paradigm 3:
Newton's theory of "light rays" basically states that the rays of white light is built from the indivisible rays of a finite numbers of (prism) colors and Einstein’s declaration that „c is a law of physics“.

Note: Most of our understanding of the universe is based on the lights by stars we observe by telescopes (like the Hubble telescope). One of the main conclusions is made based on the Doppler effect in optics. If there is a theory of light based on an unified quanta dynamics field theory (including "ground state & plasma" dynamics) how those explanations then would look like?

Note: „Lorentz succeeded in reducing all electromagnetic happenings to Maxwell’s equations for free space“, (EiA5).

Note: (Einstein & Lorentz and the Michelson-Morley experiment): "People often wonder whether Einstein’s declaration that „c is a law of physics“ was based on theoretical insight or prior experimental results – in particular the Michelson-Morley experiment. Einstein himself claimed that he was not aware of Michelson’s and Morley’s result …Einstein took Maxwell’s equations to be the law of physics.  … In modern language, Einstein’s great accomplishment was to recognize that the symmetry structure of Maxwell’s equations is not a Galileo transformation but a Lorentz transformation. He encapsulated all of this in a single principle. … All he needed to know is that Maxwell’s equations are a law of physics, and that the law of physics requires light to move with a certain velocity. From there he could just work with the motion of light rays.   ..... Lorentz did know about the Michelson-Morley experiment. He came up with the same transformation equations but interpreted them differently. He envisioned them as effects on moving objects caused by their motion through the ether. Because of various kinds of ether pressures, objects would be squeezed and therefore shortened", (SuL) pp. 60-62.

Note (Ehrenhaft's photophoresis phenomenon): „The light induces electric and magnetic charges (poles) upon the particles if they are illuminated by concentrated light preponderantly shorter wave lengths“, (EhF) p. 242


1. Phenomena specific physical theories

Anticipating the validity of the conservation law of total energy per considered system the consequences of the two paradigms above are phenomena specific physical theories. Moreover, even within such a phenomena specific theory there may be incompatible mathematical models to "explain" the same phenomenon.

Example: 
Plasma physics, one phenomenon, statistical fluid mechanics & classical fluid dynamics, multiple appliction areas

About 95% of the universe is about the phenomenon „vacuum“. The same proportion applies to the emptyness between a proton and an electron. The remaining 5% of universe’s vacuum consists roughly of 5% matter, of 25% sophisticated „dark matter“, and of 70% sophisticated „dark energy“. Nearly all (about 99%) of the 5% matter in the universe is in "plasma state". A presumed physical concept of „dark matter“ „explains“ the phenomenon of the spiral shapes in the universe. A presumed physical concept of „dark energy“ explains the phenomenon of the cosmic microwave background radiation (CMBR).

Plasma physics is about classical statistical fluid mechanics and classical fluid dynamics. The underlying related mathematical models are grouped by different physical application areas resp. chosen mathematical tools accompanied by correspondingly defined different types of „plasma matter gases“ („hot“, „medium“, „cold“), e.g., there are

- neutral and plasma gas models, (BiJ), (ChF), (DeR) 
- radiation fluid hydrodynamics, (MiD) 
- gas dynamics and radiation hydrodynamics in astrophysics (ShF)
- magnetodynamics in plasma physics (CaF) 
- flow radiation and vortices in superfluids (AnJ) 
- condensation energy in the Ginzburg-Landau model (AnJ) 
- magnetism in condensed matter, (BlS).   

Note (electro-magnetohydrodynamics): MHD is concerned with the motion of electrically conducting fluids in the presence of electric or magnetic fields. In MHD one does not consider velocity distributions. It is about notions like number density, flow velocity and pressure. The MHD equations are derived from continuum theory of non-polar fluids with three kinds of balance laws:   

- conservation of mass/energy   
- balance of angular momentum (Maxwell equations)    
- balance of linear momentum.

Note: The most advanced mathematics of “galactic dynamics” is about collisionsless Boltzmann and Poisson equations accompanied by the probability of a given star to be found in unit phase-space volume near the phase-space position (x,v), (BiJ) p. 555.

Note (non-relativistic resp. relativistic gravitational instability of the universe): The two magic tricks to analyse the (non-relativistic resp. the relativistic) gravitational instability of the universe is based on a simple continuity equation of fluid elements in combination with a related fluid-particle Lagrangian, (BiJ) p. 722. 

Note (General relativity made up of fields on fields): "General relativity is the discovery that spacetime and the gravitational field are the same entity. What we call „spacetime“ is itself a physical object, in many respects similar to the electromagnetic field. We can say that GR is the discovery that there is no spacetime at all. What Newton called „space“, and Minkowski called „spacetime“, is unmasked: it is nothing but a dynamic object – the gravitational field – in a regime in which we neglect its dynamics. …., the universe is not made up of fields on spacetime; it is made up of fields on fields", (RoC).


                            The Landau damping phenomenon

The Landau damping phenomenon is a characteristic of collisionless plasma dynamics. It is a wave damping without energy dissipation by elementary particle collisions.

„Landau damping is a characteristic of collisionless plasmas, but it may also have application in other fields. For instance, in the kinetic treatment of galaxy formation, stars can be considered as atoms of a plasma interaction via gravitational rather then electromagnetic forces“, (ChF) p. 245.   

„Landau damping models are applied to model the capability of stars to organize themselves in a stable arrangement as resonances in an inhomogeneous medium producing wave absorption (in space rather than in time) (ShF). If stars are considered as atoms of a plasma interacting via gravitational forces rather than electromagnetic forces (as a model for kinetic treatment of galaxy formation), instabilities of the gas of stars can cause spiral arms to form, but this process is limited by Landau damping“, (ChF) p. 245. 

„There are actually two kinds of Landau damping: linear Landau damping, and nonlinear Landau damping. Both kinds are independent of dissipative collisional mechanisms. If a particle is caught in the potential well of a wave, the phenomenon is called „trapping“. As in case of a surfer, particles can indeed gain or lose energy in trapping. However, trapping does not lie within the purview of the linear theory. …. , trapping is not in the linear theory. When a wave grows to a larger amplitude, collisonless damping with trapping occur. One then finds that the wave does not decay monotonically; rather the amplitutes fluctuates during the decay as the trapped particles bounce back and forth in the potential wells. This is nonlinear Landau damping.  .. Since the linear Landau damping is derived from a linear theory, … the nonlinear Landau damping must arise from a different physical effect. The question is: Can untrapped electrons moving close to the phase velocity of the wave exchange energy with the wave?“, (ChF) p. 248-249.

2. Scale dependent physical theories

Anticipating the validity of the conservation law of total energy per considered system the consequences of the two paradigms above are scale specific physical theories. 
                                                                 
(DeP) p. 551: "At each scale there are different degrees of freedom and different dynamics. Therefore, at each scale level to be studied, there is the need for a different theory (e.g. classical continuum mechanics, theory of granular structure, nucleus + electronic cloud, nuclear physics, QED, free-electron theory, modelling, e.g. the properties of metals, semiconductors, and insulators) to describe the behavior of the considered physical system depending on a scale (of energies, distances, momenta, etc.). For example, in quantum field theory, the dependence of the behavior on the scale is often expressed mathematically by the fact that in order to regularize (i.e. render finite) Feynman diagram integrals one must introduce auxiliary scales, cutoffs, etc. The effect of these choices on the physics is encoded into the renormalization group equation. This equation then becomes an important tool for the study of physical theories.

When passing from a smaller scale to a larger scale irrelevant degrees of freedom are averaged over. Mathematically this means that they become integration variables and thus disappear. 

- In classical mechanics one deals with three scales according to its three basic measurements: distance D, time (better called duration) T, mass M

- in non-relativistic quantum theory and classical relativity it has two scales: D & T resp. D & M (mass M can be expressed through T & D using the Planck constant resp. T can be expressed via D using the speed of light) 

- in relativistic quantum theory there is only one scale: distance D."

Example: 
The "standard model" of elementary particles, which is in fact about three independent theories with one common similarity, the symmetry groups SU(3), SU(2), and U(1), (GlJ) p. 433.

Note: The Planck action constant is independent from any weak or strong gravitation field. It therefore somehow mirrors the fundamental difference of physical macro and micro world, (DeH).

                                              Supporting data

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

  

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

                                             

                               

Braun K., UFT related list of papers