The Annals of Exploratory Science

Solid State Polyscale Physics. Fundamentals

Solid State Polyscale Physics - What is the Difference with the Conventional One Scale Solid State Theory Based on Quantum Mechanics, etc.

Vladi S. Travkin

$^{1}$ Hierarchical Scaled Physics and Technologies (HSPT), Rheinbach, Germany, Denver, CO, USA

INTRODUCTION AND OBJECTIONS

How we Can Up-scale and Down-scale Communicate in Physics of Solid State from the Sub-Atomic to the Meso-Scale Continuum Mechanics? Without Quantum Mechanics, Homogeneous Molecular Dynamics (false science), etc.

We recommend before reading some texts of HSP based content in the science of Solid State physics at this section-chapter, readers better to make familiar themselves with the contents in the following sections that are preceding in some professions to the Solid State courses:

1. Travkin, V.S., Continuum Mechanics of Heterogeneous (Ht) Media; Elasticity, Plasticity, http://travkin-hspt.com/elastic/index.htm, (2005)

2. Travkin, V.S., Catton, I., Transport Phenomena in Heterogeneous Media Based on Volume Averaging Theory, in Advances in Heat Transfer, Vol. 34, Academic Press, New York, pp. 1-144, (2001)

3. Travkin, V. S., What's Wrong with the Pseudo-Averaging Used in Textbooks on Atomic Physics and Electrodynamics for Maxwell-Heaviside-Lorentz Electromagnetism Equations, http://travkin-hspt.com/eldyn/maxdown/maxdown.htm, (2009)

4. Travkin, V. S., Incompatibility of Maxwell-Lorentz Electrodynamics Equations at Atomic and Continuum Scales, http://travkin-hspt.com/eldyn/incompat/incompat.htm, (2009)

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

6. 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)

7. Travkin, V.S., Particle Physics - Heterogeneous Polyscale Collectively Interactive, http://travkin-hspt.com/parphys/index.htm, (2011)

8. Travkin, V.S., Particle Physics (Particle Physics 2). Fundamentals, http://travkin-hspt.com/parphys2/index.htm, (2013)

9. Travkin, V.S., Nuclear Physics Structured. Introduction, http://travkin-hspt.com/nuc/index.htm, (2006-2013)

especially are relavent to this text on Solid State for the apprehension the following chapters in HSP:

10. Travkin, V. S., Statistical Mechanics Homogeneous for Point Particles. What Objects it Articulates?, http://travkin-hspt.com/statmech/index.htm, (2009)

11. Travkin, V.S., Solid State Plasma Models, http://travkin-hspt.com/atom/01.htm, (2006)

First time visitors and orthodox physics visitors will be better off when going at first throughout:

Travkin, V.S., Fundamentals of Hierarchical Scaled Physics (HSP-VAT). Description of Transport and Phenomena in Heterogeneous and Scaled Media http://travkin-hspt.com/fundament/index.htm. (2003)

We write on the minimum for gaining to these advanced physics chapters in many spots of these lectures - for people without of an "inhibition of apprehension", when in their studies the honest non-political observation of physical facts is desired and welcome.

They should overcome "the historical feature of inhibition of apprehension, I ascribe the hypothesis of formation of inhibiting apprehension to what is called "hard wiring" of brain structure by cognitive scientists. People have suspected and taught for at least centuries that once one accepts a theory about rationalized phenomena, that the person can not implicitly understand another kind of theory about phenomena or develop it themselves, and for centuries more, people have believed that it is difficult for someone to change his ideas to accept a new idea;" - by Edward Lewis in his "The Periodic Production of Rationalized Phenomena and the Past Periodic Depressions"

  • The Periodic Production of Rationalized Phenomena and the Past Periodic Depressions.

    When young L.D.Landau was allowed to travel from the Soviet Union to Europe in the 1920s he probably lost his time for research back in the country. Because he was late for advansing the electron theory along with Quantum Mechanics (QM). Later on when he met with facts of new theories for treatment the sub-atomic particles - QM, and the theory of electron by W.K.Heisenberg and P.Dirac, he knew that those are rather simulated mathematical tools for the real physical objects.

    He realized, that he was late for having his own word carved in stone regarding the very important crucial theories of that time in physics. He was probably too young for that. Meanwhile, he was not in complete agreement with these advancements. As this is to some degree observable via Landau's own sometimes or repeatedly frantic theories he suggested for number of phenomena. Those theories were not in a full compliance with that contemporary general views in physics, particularly of sub-atomic physics. It is well known that Landau often named his colleagues using bad and deprecatory words and had actually a lot of foes in the field.

    He stopped completely communicate on physics with his colleagues, disciples when after the traffic accident became a very weak and disabled, but in a full sober mind personality. He was probably thought of uselessness of his effort to make physics to be of more physics than of metaphysics to which he himself made a great input.

    One of such a frantic, being in a commutation with the rest of XX century physics that treated the electrons as volumeless particles was his theory about so called "polarons."

    Wikipedia (that is the easier reference than others) says on the subject of "polarons":

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    From Wikipedia, the free encyclopedia - Condensed matter physics:

    "A polaron is a quasiparticle used in condensed matter physics to understand the interactions between electrons and atoms in a solid material. The polaron concept was first proposed by Lev Landau in 1933 to describe an electron moving in a dielectric crystal where the atoms move from their equilibrium positions to effectively screen the charge of an electron, known as a phonon cloud. This lowers the electron mobility and increases the electron's effective mass.

    The general concept of a polaron has been extended to describe other interactions between the electrons and ions in metals that result in a bound state, or a lowering of energy compared to the non-interacting system. Major theoretical work has focused on solving Fröhlich and Holstein Hamiltonians. This is still an active field of research to find exact numerical solutions to the case of one or two electrons in a large crystal lattice, and to study the case of many interacting electrons."

    Our comments: You see - polarons are openly admitted as a "quasiparticle," so artificial particle that actually does not exist. Still is being "studied," isn't it the sign of metaphysics as is?

    Our comments: COHP professionals they up to now continue to use - "one or two electrons" interaction with the atoms cloud, lattice within the solid phase? They can not make nonlocal, really nonlocal theories. Because it is unknown how and more - It is prohibited in contemporary Homogeneous physics.

    Ortodox physicists at universities, labs don't know - How and What to do with the sub-atomic electrodynamics- even of MHL, and of "nonexistent vacuum0" - aether, and of charged even the particles' point-masses? In individual pair-wise and in - the most important - collective interactions?? They can not follow HS physics on that - previous theories don't allow this to do!

    Our comments: Isn't it enough for doing this "physics" for 80 something years without success?

    And it won't be a success, because the paradigm with electrons and atoms interaction is incorrect.

    Wikipedia: "Experimentally, polarons are important to the understanding of a wide variety of materials. The electron mobility in semiconductor can be greatly decreased by the formation of polarons. Organic semiconductors are also sensitive to polaronic effects, and is particularly relevant in the design of organic solar cells that effectively transport charge. The electron phonon interactions that form cooper pairs in type-I superconductors can also be modelled as a polaron, and two opposite spin electrons may form a bipolaron sharing a phonon cloud. This has been suggested as a mechanism for cooper pair formation in type-II superconductors. Polarons are also important for interpreting the optical conductivity of these types of materials.

    The polaron, a fermionic quasiparticle, should not be confused with the polariton, a bosonic quasiparticle analogous to a hybridized state between a photon and an optical phonon."

    MATH

    "Polarons" This picture of COHP understanding has the Four phases medium. Where the electron's image (polaron's part) is misleading the students in it's appearance here as a volumetric particle (as Landau probably wanted it to be as that). The problem with it is - that this task within COHP as that of Conventional Homogeneous physics can not be treated, solved as the polyphase kind of problems in principle. And they know about this.

    Wikipedia text: "Fig. 1: Artist view of a polaron.[3] A conduction electron in an ionic crystal or a polar semiconductor repels the negative ions and attracts the positive ions. A self-induced potential arises, which acts back on the electron and modifies its physical properties."

    Our comments: Oh, this is good, this picture. This picture is the idealised real situation within the imaginable solid state bodies - only the ions and electrons are depicted as the VOLUMETRIC object, the actual picture of 4-phase volumetrically acting particulate medium.

    The problem with COHP is that it is unable to correctly represent, describe the ions and electrons EM fields and their COLLECTIVE dynamics - because the COHP has no physics and mathematics for this purpose, IN PRINCIPLE. They refused themselves to have the ones. Elements of it exist since the 70s.

    Instead COHP workers use the Hamiltonian concept that is just the 1-2-3... arithmetic for this kind of polyphase problems. Kindergarten in the Condensed-matter physics.

    "A self-induced potential arises,". Not an electromagnetic fields in between the particles and atoms, but only "potential arises"!

    Electrons in COHP should be the point-mass-charges. Atoms should be the unimaginable balls, etc. The intermedium of aether should be not taken into account, and particles as electrons and atoms should have no structure, or just balls.

    Our comments: Completely artificial construction - and openly, without shame is being admitted as such. An Unbelievable foolishness in this general approach in physics. And unbelievable rav.....

    Our comments: So, for more than 80 years in COH physics is used the whole homogeneous artificial theory - to only satisfy the imagined conditions of point-mass volumeless and one phase treatment of extremely important issues of interaction of electron with the matter.

    All of this happens because the COHP cannot theorize the polyphase volumetric particles and the aether as the great participating medium, agent.

    At the same time in HSP these presentations are naturally physical, volumetric, have the correct mathematical governing equations for both (at least) scales, etc., see in our:

    1. 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/abstracts/twoparticlesshort-ab.htm

    2. Travkin, V.S. and Bolotina, N.N., "Two-Scale Two-Phase Formation of Charged 3D Continuum Particles - Sphere and Cube From Electrons in a Vacuum0 (Aether). An Example of Scaleportation of Charge from the Sub-Atomic to Continuum Charged Particles, Conventional MD Cannot be Applied," http://travkin-hspt.com/parphys2/abstracts/subtocontin-ab.htm

    3. 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/parphys/abstracts/stillelectrons-ab.htm

    4. 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

    and in publications mentioned above.

    Well, leading physicists had done this with their own wishes and minds - when rejecting the aether because they couldn't treat, theorize the Two-phase media, while also accepting for simplicity the volumelessness, structurelessness of the most of subatomic particles.

    What else can be said about COHP Solid State Homogeneous Physics (SSHP) theories?

    They are all based on the same foundation of QM, Conventional Homogeneous Statistical Mechanics (CHSM), and Homogeneous presentations of atoms, ions, molecules, particles in a volume of a substance.

    We are touching these theories in the following sub-sections, chapters:

    "What are the Phonons in Solid State Homogeneous Physics (SSHP)? What are the 2-Scale Polyfield Vibrations of a Pure Copper (Cu-29) in Solid State"

    "Why Homogeneous Classical Physics Cannot Describe the "Phonons Linear Chain?"

    and

    "What are the Phonons in Continuum Homogeneous Elastic Physics?"

    "What are the Electrons in a Volume with Another Particles, Atoms, Molecules in COHP"

    "Electrons in a Volume with Another Particles, Atoms, Molecules - Real Physical Objects, Particles in HSP"

    Readers shouldn't expect from a small number of people involved in mostly privately financed research in Exploratory HSP Particle Physics, Atomic Physics, Solid State, Materials Science, etc. an equivalent or close volume of studies, research results as have been done throughout the previous ~90 something years by tens of thousands workers in science and technologies while developing the COHP theories, should you ?

    Nevertheless, we must speak out about the errors and possibilities to correct those errors, imbalances in COH physics as long as they are the roadblocks on the road of progress, advancement of living standards, etc.

    Going over as in "Statistical Mechanics Homogeneous" science about we must say that - all these tools of the one scale, homogeneous physics and math, just examples, we have found - have been done with the governing equations that were derived with the use of homogeneous Gauss-Ostrogradsky theorem or even Hamiltonians, Hamilton and Liouville equations from the science of the XVIII and for the mass-points only media. Unbelievable.

    While this is incorrect. Incorrect by mathematics and by Heterogeneous Physics where many additional physical effects do exist that COHP professionals don't even know about and cannot detect those [6,9-27].

    Then - What kind of experiments are you talking about? With those theoretical models of Conventional Orthodox Homogeneous Physics (COHP)? COHP physicists don't know about additional physical effects in Heterogeneous Scaled Media [26,14], so can not even design the proper scale involved experiments and find out the proper energy balance, for example.

    And the last mentioned at this time in this manuscript on the Solid State fundamentals, but not the last ever fact and the very important one - is that in COH physics used as the only one option - the Lorentz force formula for only Two particles or better to say for one particle force onto the another. While this is definitely of low quality and even self-blinded formula either for the two particles interaction or for the multiple particles collective interactive forces [17,19,24,25]. Still used everywhere in COHP.

    COHP professionals are so accustomed to this formula, that don't understand that using this formula for the sub-atomic phenomena is the same as using the arithmetic formulae instead of differential equation dependence.

    References:

    1. Whitaker, S., Simultaneous Heat, Mass and Momentum Transfer in Porous Media: a Theory of Drying, in Advances in Heat Transfer, Vol. 13, Academic Press, New York, pp. 119-203, (1977)

    2. Whitaker, S., The Method of Volume Averaging, Springer, Berlin, Heidelberg, (1998)

    3. Slattery, J.C., Momentum, Energy and Mass Transfer in Continua, Krieger, Malabar, (1980)

    4. Quintard, M. and Whitaker, S., "One and Two-Equation Models for Transient Diffusion Processes in Two-Phase Systems," in Advances in Heat Transfer, Vol. 23, Academic Press, New York, pp. 369-465, (1993)

    5. Kaviany, M., Principles of Heat Transfer in Porous Media, 2-nd Ed., Springer, Berlin, Heidelberg, (1995)

    6. Travkin, V.S. and Catton, I., Transport Phenomena in Heterogeneous Media Based on Volume Averaging Theory, in Advances in Heat Transfer, Vol. 34, Academic Press, New York, pp. 1-144, (2001)

    7. Gray, W.G. and Lee, P.C.Y., "On the Theorems for Local Volume Averaging of Multiphase Systems," Int. J. Multiphase Flow, Vol. 3, pp. 333-340, (1977)

    8. Gray, W.G., Leijnse, A., Kolar, R.L., and Blain, C.A., Mathematical Tools for Changing Spatial Scales in the Analysis of Physical Systems, CRC Press, Boca Raton, (1993)

    9. Travkin, V.S., Continuum Mechanics of Heterogeneous (Ht) Media; Elasticity, Plasticity, http://travkin-hspt.com/elastic/index.htm, (2005)

    10. Travkin, V.S. and Catton, I., "Porous Media Transport Descriptions - Non-Local, Linear and Nonlinear Against Effective Thermal/Fluid Properties," in Advances in Colloid and Interface Science, Vol. 76-77, pp. 389-443, (1998)

    11. Travkin, V.S., "Why is it Different from Homogeneous and other Theories and Methods of Heterogeneous Media Mechanics/(other Sciences) Description?" http://travkin-hspt.com/fundament/03.htm, (2002)

    12. Travkin, V.S., "Are there any other Methods and Theories available?" http://travkin-hspt.com/fundament/04.htm, (2002)

    13. Travkin, V.S., "Pseudo-Averaging (Scaling, Hierarchy), Quasi-Averaging, Ad-hoc Averaging, and other "Averaging" (Scaling, Hierarchy) Type Claims," http://travkin-hspt.com/fundament/pseudo.htm, (2003)

    14. Travkin, V.S., "Experiments, Experimental Data Reduction and Analysis; Numerical Experiment (Simulation) Data Mining," http://travkin-hspt.com/urbp/exper.htm, (2004)

    15. Travkin, V.S., "Reductionism and/versus Holism in Physics and Biology - are Both Defective Concepts without Scaleportation," http://travkin-hspt.com/fundament/scaleport/scaleport.htm, (2004)

    16. Travkin, V.S., "Classical Problems in Fluid Mechanics," http://travkin-hspt.com/fluid/03.htm, (2003)

    17. Travkin, V.S., "Solid State Plasma Models," http://travkin-hspt.com/atom/01.htm, (2006)

    18. Travkin, V.S., Nanotechnologies - General Concept for Pretty Large Amount of Pretty Small Gadgets Embedded Into Something and Consequences for Design and Manufacturing, http://travkin-hspt.com/nanotech/index.htm, (2006)

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

    20. 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)

    21. Travkin, V.S., Particle Physics - Heterogeneous Polyscale Collectively Interactive, http://travkin-hspt.com/parphys/index.htm, (2011)

    22. Travkin, V.S., Particle Physics (Particle Physics 2). Fundamentals, http://travkin-hspt.com/parphys2/index.htm, (2013)

    23. Travkin, V.S., Nuclear Physics Structured. Introduction, http://travkin-hspt.com/nuc/index.htm, (2006-2013)

    24. Travkin, V.S., What's Wrong with the Pseudo-Averaging Used in Textbooks on Atomic Physics and Electrodynamics for Maxwell-Heaviside-Lorentz Electromagnetism Equations, http://travkin-hspt.com/eldyn/maxdown/maxdown.htm, (2009)

    25. Travkin, V.S., Incompatibility of Maxwell-Lorentz Electrodynamics Equations at Atomic and Continuum Scales, http://travkin-hspt.com/eldyn/incompat/incompat.htm, (2009)

    26. Travkin, V.S., Experimental Science in Heterogeneous Media, http://travkin-hspt.com/exscience/index.htm, (2005)

    27. Travkin, V.S., Statistical Mechanics Homogeneous for Point Particles. What Objects it Articulates? http://travkin-hspt.com/statmech/index.htm, (2014)

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    Any information displayed here is the proprietary information in the area of

    "Solid State Polyscale Physics. Fundamentals."

    These are not well understood phenomena with regard of the treatment of clouds of point-particles instead of a real small size particles. This is the silenced in educational systems information. All over the world - students are misled about the difference between physics of the real sub-atomic particles and the point-mass-charge particles that were accepted in COHP near 100 years ago.

    Still can not be resolved within the Homogeneous disciplines of One-Scale Statistical Mechanics, Solid State physics, electromagnetism, particle physics, general physics.

    UNDER CONTINUING DEVELOPMENT