The Annals of Exploratory Science
Principles of the Theory
1) Recognition of the fact - that at any scale the physical substance, particulate media in a volume of interests when the number of particles is substantial and one of interests is the properties of the physical medium (as of a volume), but not of only one single particle which is still the inseparable component of the problem (issues of physical interest), is the Polyphase (at least two phases, one is the interparticle medium that can include the aether) Polyscale (at least two scale) Heterogeneous (Ht) medium. At atomic scale, sub-atomic, or at some of the continuum scales.
2) Recognition of the fact - that the structure and the "phase" content of a volume with particles sample are the fundamental facts controlling the function of the volume fields, substance at given point, material along with the environmental (boundary) conditions.
3) Recognition or knowledge that - in this consideration the polyphase, polyscale studying of the subject - the particulate medium in a volume of interests, medium sample, the material, is the most accurate and revealing way of obtaining the facts, conclusions. This was and is one of the main methods - the reductionism (with inseparable up-scale the holism approach) to study the nature by physical methods so far for many centuries.
4) Recognition or knowledge of the fact - that for studying the polyphase matters, media the only correct way is to use the discovered in 60s - 80s methods, theorems of Hierarchical physics and mathematics: Hierarchical Scaled Physics - Volume Averaging Theory (HSP-VAT), those specifically were created and tuned throughout the last 40+ years for polyphase polyscale physical, biological matters.
Of many other methods suggested for the Heterogeneous media theorizing, modeling and understanding, up to this time there is no one more fundamental and/or correct.
We won't discuss or comment on numerous schemes suggested for heterogeneous, physical, biological polyphase media in the last ~100 years, as the mixture theory, for example, because they openly use an inadequate or truly simplified physical and mathematical description of the problem. We also published numerous analytical texts in hard copy and the web publications on this issue.
This fact is not objected or disputed by any professional, openly at least, for the last ~(30-35) years. The complexity and educational policies are preventing professionals to acquire and employ the tools of HSP-VAT.
One of the examples, is the use of Gauss-Ostrogradsky (GO) theorem for deduction of governing equations for near 200 years in physics and other sciences. This theorem is valid only for a Homogeneous matter, that most of professionals even do not know and acknowledge. In hierarchical mathematics there are many like theorems for the same purposes that have been developed and used during the last 40 something years.
5) For the particular area of the particle physics we add the one more physical principle that usually left out in Homogeneous physics. This is the fact that the movement of the particles in the bounding volume can be characterized either by the free transport through the Bounding Surface (BS) (imaginable, mathematical category) or by collision with the matter of BS, but not of a smooth Homogeneous imaginable mathematical surface, but of Polyphase Polyscale Heterogeneous matter, material of Bounding substance.
Otherwise the problem would be stated as the unphysical one. Up to now it is stated as with the smooth mathematical bounding surface - but it is the false physical statement. This (5th) physical principle is supporting many times expressed report that there is no really closed system in our physical universe. The Homogeneous (at present it is homogeneous) thermodynamics' concepts are working approximately and mostly for the physics of Homogeneous Continuum Mechanics.
Hierarchical Polyphase Polyscale Concepts for Heterogeneous Media of Particle Physics and for their Modeling
1) There is no physical phenomena, process, act that at the determined scale is not of the Volumetric character or is not consciously or sub-consciously understood and/or modeled with the Averaged phenomena of the sub-scale. Any point-like experiment or method, theory is about for accepting at first the premise that the point is formed by/after somehow averaging of the forces/movements/reactions etc. of the below scale physics. Mostly it is done implicitly, even sub-conscious, but this premise is ALWAYS present. The Top-Down sequence of physical phenomena is more accurate down to the sub-atomic scale particles, an aether in between the particles and some pertained to them phenomena.
What regards to the down scales from an Electron approximate dimension and structure that is covered at our times with the dense fog of the current state particle physics because at the beginning of XX they started from the strong postulate - that electron is the point-mass, period, and so they did not need to consider even smaller "particles" (we don't know whether they are particles at all, or just new kind of objects that hardly can be named "particles"? Anyway - down the scale we can not rely on the conclusions of high power accelerators research - and first of all - because they all are based on the MHL electrodynamics. As we know, it is full of insufficiencies.) That is why in conventional particle physics are so many "color" and other non-physical definitions (just appropriate mathematics) for the sub-atomic particles.
2) Any Particulate Media in a Volume of Interests (PMVI) is the Heterogeneous (Ht) media, material's sample which is in reality the Two scale Two Phase (TSTP), at least, physical entity that have the continuous transport phenomena (as of aether at least, that now is easier and more productive to consider as the Continuous matter, for the lack of knowledge of its properties), the local and the physical field processes of a physical volumetric (averaged at some point) character.
3) It is not correct to study, model and make valuable definitive conclusions about this medium physical functions when using only the one scale physical phenomenon(a) - as, for example, when the particles presented as the point-masses or as the separate masses without any medium in between apart of "physical" vacuum (without any, but some electrical constant properties), or just vacuum without any properties, or when mixture "theories" for heterogeneous media used, or simple summation of the effects instead of integration are taken into account. Contemporary experimental physics, biology, medical investigations are lack of the ground and fundamental science, while applying the theoretical schemes of one scale physical nature that were suggested in physics (particle physics mostly) many decades ago.
4) We have to declare that the mathematical, first of all they are mathematical, schemes, theories that have been developing and applying in particle physics since the ~1920s, as for the mathematical representation of particles in physics as the mathematical points with physical properties - are inadequate physical methods which brought into an imaginable reality the numerous inconsistencies in physics so far. And need to be abolished, or at least recognized as the approximate insufficient methods developed in XX century due to the lack or absence of physical and mathematical methods (at the beginning of the XX) that would be appropriate for the sub-atomic particulate media. They need to be taught to graduate students only as the non-major courses. The critique of these unphysical methods we published elsewhere.
5) The scale models for heterogeneous particulate media constitute the separate spatial and temporal physical and mathematical models describing the physical function relationships between the scales and in the scale dependent phenomena in such media.
6) The scale dependent mathematical models are inherently communicative Up-and-Down over the scales in Heterogeneous particulate media. The scale communication of physical properties of Ht medium has been named as a Scaleportation of properties and characteristics in HSP-VAT.
7) It is possible to commute the physical models and medium's properties at the neighboring scales with mathematical strictness using methods developed in HSP-VAT.
8) Each scale developed Homogeneous (H) models in a Ht medium based on Homogeneous presentation of this scale physical definitions and the field's governing equations can be connected more or less mathematically strictly to the neighboring next Up-scale or Down-scale models only (most strictly) via using the interscale mechanisms of HSP-VAT.
9) The polyscale depiction of Ht medium's physical function models is the only correct approach for theoretical modeling and simulation, for experiments data reduction when the subject of analysis, theory, model, experiment is the polyscale physically object with the nature prescribed polyscaling of function.
10) Any Homogeneous physical substance, medium, materials sample is in reality also of the two scale, at least, the physical entity that have molecular, atomic, sub-atomic and continuous description of transport, physical field processes of a physical volumetric character. The averaging and scaleportation of molecular (atomic) scale transport and phenomena Up- to the Continuum (one of the continuum) scale phenomena and Down- to the molecular, atomic, sub-atomic scales, should be used with application of correct Hierarchical mathematics of discontinuous "broken" physical fields.
11) At present, in the last approximately ~30 years all the main physical fields, definitions and homogeneous governing equations have been reformulated and upgraded using the methods of HSP-VAT for acting in the heterogeneous subject matters, for Heterogeneous media of solids, solids and fluids, polyfluids, particles in fluid, scaled fluids, elasticity of solid and soft solid media, mass, heat, momentum, electromagnetism describing phenomena, wave mechanics, acoustical fields in Heterogeneous Continuum and sub-atomic particulate media. That is now making available the polyscaling in the description and modeling the most obvious and important transport phenomena in particulate media as well.
12) Advancements in the last ~30 years in Hierarchical Scaled Physics - Volume Averaging Theory (HSP-VAT) allowed to surpass inadequate, incomplete one scale homogeneous theories for averaging (mixing), "bulk" representing theories, scaling, scaleportation in almost every field of physics. Now we can formulate the true polyscale Dynamics theories and models for Ht medium, including and particulate objects and relevant processes, polyscale by nature in a Ht medium.
13) None of the concepts written above is on the lists of "advanced" programs formulated in the recent and earlier years (and in "new" formulations of disciplines) in academic, university, government programs. And that is a signal of misleading development in the contemporary conventional Homogeneous Particle Physics.
P.S. Starting from the 2011 year of proposal applications cycle, any proposal that would have content reminding these concepts will be considered as of some plagiarized nature, if not describing and mentioning the origins of these present sources, published texts and names.
Any information displayed here is the propriatary information in the area of "Concepts: HSP-VAT Conceptual Vision and Methods in Application to Particle Physics".
This is also the group of well known problems - still can not be resolved within the Homogeneous One-Scale particle physics, electromagnetism, gravitation theories.
