The Annals of Exploratory Science

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INTRODUCTION

Among our published studies on Scaled Sub-atomic physics (only ours so far) we can mention some just the first ones [1-10] where the concepts for describing the two-scale, at least, physical and mathematical fields along with mathematical governing equations of dynamics of arrays of volumetrical sub-atomic pretty known particles, that in COHP are approached and treated as the point-like objects (we won't be arguing here, leave it for an another occasion, about the artificial constructions of "polarons" existence, the brainchild of Landau who was late at the beginning of the 1930's in the suggesting his own word regarding the theory of electron), have many issues that have been covered in the previous ~90 years by thousands of physicists for COH physics narration.

We approach in this study the few more subjects of dynamics of an array of sub-atomic particles.

Note that now it is the pure erroneous physics and mathematics to use the Homogeneous matter mathematics and physics - no matter how MANY pseudo-heterogeneous techniques have been invented and for how many different scales, but HSP-VAT.

ABSTRACT:

"This publication is devoted to a topic that is a venerable and at the same time has been a great arena for research for many decades. That actually means that the governing equations even for a relatively homogeneous range of particles characteristics and physics involved has not been created yet to the extension allowing for lecturing the field to undergraduate students.

We are delivering here the techniques, some fundamentals of theories, and methods applied for the two-scale description of the sub-atomic particle (real particles - not point-like) arrays dynamics in electromagnetic fields. That topic is intriguing in a way that it describes the used physical mechanisms for the field force acting on particles. The much known and advanced in many sciences force field method, formula by Lorentz is known for many insufficiencies.

Nevertheless, as an example and as the very known and applied Lorentz EM force field formula is used for creation of the governing two-scale dynamic equations (adding, of course, the electrodynamics involved, in this case of the Maxwell-Heaviside-Lorentz electrodynamics) for a volumetric charged particle(s) aiming this development first of all for the subatomic particles movement application. One more feature in this work is that the action-at-a-distance is not allowed without the medium as the second phase being present in the volume. For that medium is used the aether while its properties have been at serious physical studies for more than a century, at least."

Key words: Polyscale physics; Electrons; Electrons in Vacuum; Aether; Heterogeneous media; Averaging theories; HSP-VAT; Multiscale; Polyscale; Multiscale modeling; Electrodynamics; Heterogeneous electrodynamics; Sub-Atomic modeling; Particles modeling; Gauss-Ostrogradsky theorem; WSAM theorem; Scaleportation.

This article is:

Travkin, V.S., "Two-Scale Three-Phase Regular and Irregular Shape Charged Particles (Electrons, Photons) Movement in MHL Electromagnetic Fields in a Vacuum0 (Aether)," http://travkin-hspt.com/parphys2/pdf/19pPrEd-must.pdf, (2011)

Some of the relevant HS physics and mathematics outcomes, methods, and derivation procedures can be found in the references below and in some closely narrated materials.

REFERENCES:

1. Travkin, V.S. and Bolotina, N.N., "One Structured Electron in an Aether (Vacuum0) Electrodynamics, Many Electrons in an Aether Fixed in Space - the Upper Scale Galilean Electrodynamics ," http://travkin-hspt.com/http://travkin-hspt.com/parphys/abstracts/stillelectrons-ab.htm

2. Travkin, V.S. and Bolotina, N.N., "Electrons and CMBR (Cosmic Microwave Background Radiation) Flux of Photons in a Vacuum0 (Aether) - Two-Scale Galilean Theory ," http://travkin-hspt.com/parphys/abstracts/elcmbr-ab.htm

3. Travkin, V.S. and Bolotina, N.N., "How not to Scale-Down...or -Up.. .. Analysis of Current Studies on Scaled, Collective Phenomena in Biology Fields Presented as the One-Scale Concepts," http://travkin-hspt.com/bio/biopapersop.htm (2009)

4. Travkin, V.S., Electrodynamics 2 - Elements 3P (Polyphase-Polyscale-Polyphysics), http://travkin-hspt.com/eldyn2/index.htm, (2013)

5. Travkin, V.S. and Bolotina, N.N., "The Classical and Sub-Atomic Physics are the Same Physics," http://travkin-hspt.com/parphys/pdf/51_PrAtEd-QM-Ref-2HSPT.pdf, (2013)

6. Travkin, V.S. and Bolotina, N.N., "Hydrogen in HSP-VAT. Introduction," http://travkin-hspt.com/parphys2/abstracts/hydrogen-ab.htm, (2013)

7. Travkin, V.S. and Bolotina, N.N., "Iron. Introduction," http://travkin-hspt.com/parphys2/abstracts/iron-ab.htm, (2013)

8. Travkin, V.S. and Bolotina, N.N., "Water Structured. Introduction," http://travkin-hspt.com/parphys2/abstracts/water-ab.htm, (2013)

9. Travkin, V.S., "What's Going on in Particle Physics with Homogeneous Approach? How we Can Up-scale from the Sub-Atomic to the Continuum Mechanics? By MD it is the False Method (via the Homogeneous MD) and Even a False Math."

10. Travkin, V.S., "What is the Particle Physics Now?"

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"Two-Scale Three-Phase Regular and Irregular Shape Charged Particles (Electrons, Photons) Movement in MHL Electromagnetic Fields in a Vacuum0 (Aether)"

This is also the well known problem, but within the COHP the versions of it have been even formulated wrongly - read our analysis and texts on Conventional Homogeneous Statistical Mechanics great unbelievable simplifications of 1910-1970 and beyond - and can not be solved within the Homogeneous One-Scale nuclear physics, electromagnetism, particle physics.

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