1. Charge in very strong EM field
Brijuni 04

2. The unresolved mystery
Where do the charges go and where they come from?

3. Instead of the Answer
To seek not to know the answers but to understand the questions Note on Harry`s wall

4. Question to understand
How a charge behaves under the impact of a very strong field?

5. What is meant by strong field?
There is no absolute answer to this question, only when a reference criterion is defined?

6. Few typical values Sun irradiance Condensers on the market
Electron in Bohr orb.
Laser
Electron-proton in neutron
103 W/m Volt/m
108 Volt/m
Volt/m
1024 W/m Volt/m
1017 Volt/m

7. Three possible criteria for strong field
Relative importance of quantum and classical effects
Importance of spontaneous versus induced transitions
Impact on the rest mass of charge

8. Quantum and classical effects
Two types of energy transfer from a plane EM wave to a charge
Photon energy exchange
Drift velocity

9. Velocity of charge in plane EM wave

10. Relativistic effects

11. Quantum/Classical in non-relativistic limit

12. Spontaneous versus induced transitions

13. Example of strong and weak interaction

14. Impact of field on the rest mass of charge
Deep rooted belief that the rest mass is a fixed parameter.
Strict formulation of the radiation reaction force is not possible without abandoning this belief.

15. Formulation of radiation reaction force
In the weak coupling regime (in QM/CM sense) it is formulated through QED.
In the strong coupling regime the formulation is not obvious.
Problem of model
Problem of solving equations

16. The simplest model for radiation reaction force
Extended charge that interacts with itself
Model is hampered by various non-physical assumptions.
More precise model is interaction of phase space density with itself.
Both models agree on the structure of basic equations

17. Basic equation for with radiation reaction

18. Solution for electron-(point-like) proton

19. Consequences
Mass of charges disappears, but what about its gravitational?
Charges are in a form of a dipole
Charges could be created by very strong fields
Hydrogen atom is stable because electron-proton interaction is not Coulomb type at the nuclear radius

20. Electron in a plane wave
Comparison of velocity with and without RR force
W=1021s-1

21. Electron in a plane wave
Mass, velocity as a function of field strength

22. Consequences
Charge cannot be annihilated in a plane wave of a very large amplitude.
The effect of mass change could be observed in spectroscopy

23. Thanks for your attention