Friday, June 28, 2013

Part 09 of 29. THE DIALECTICA MANIFESTO. 'The Nonlinearity Breakthrough' and 'The Fusion Breakthrough'.




Part 09 of 29 --

The Dialectica Manifesto

 

 

 

 

Dialectical Ideography 

 

and the Mission of F.E.D.

 

 

 

 

The Nonlinearity Breakthrough

 

and

 

The Fusion Breakthrough

 




Dear Readers,


I am, together with F.E.D. Secretary-General Hermes de Nemores, and F.E.D. Public Liaison Officer Aoristos Dyosphainthos, organizing to develop a new, expanded edition of the F.E.D. introductory documents, for publication in book form, under a new title --
The Dialectica Manifesto:  Dialectical Ideography and the Mission of Foundation Encyclopedia Dialectica [F.E.D.]
 

-- and under the authorship of the entire Foundation collective.
Below is the ninth installment of a 29-part presentation of this introductory material, which the F.E.D. General Council has authorized for serialization via this blog over the coming months, as we develop the material.


I plan to inter-mix these installments with other blog-entries, including the planned additional F.E.D. Vignettes, other F.E.D.  news, my own blog-essays, etc.


Links to the earlier versions of these introductory documents are given below.





Unlike the typical blog-entry, this series will attempt to deliver an introduction to [in this case, to the Foundation worldview as a totality], in a connected account, making explicit many of the interconnexions among the parts.


Enjoy!!!



Regards,

Miguel










 

 

The Nonlinearity Breakthrough

and the Fusion Breakthrough.


The prospect of fusion power epitomizes the vast scientific, industrial-technological, and social benefits — potentially human-social progress re-igniting, and human-species-continuation-enabling — of a Nonlinearity Breakthrough.


Hypothesis.  A “closed-form”’, global solution of the “highly-nonlinear” Maxwell-Boltzmann-Vlasov plasma equation should enable direct computation of control-parameter-values corresponding to self-sustaining nuclear fusion reaction regimes, while also providing other physical / engineering insights, all leading rapidly to the design and construction of commercially super-competitive fusion power reactors, utilizing low-radioactivity or ‘no-radioactivity’, virtually pollution-less fuel cycles [e.g., the Hydrogen-1/Boron fuel-regime].


Consider the intensely auto-kinesic, nonlinear character of a “plasma” --

“A plasma is a gas of charged particles, in which the potential  energy of a typical particle due to its nearest neighbor is much smaller than its kinetic energy.”

“The plasma state [also termed plasma phaseF.E.D.] is the fourth state of matter:  heating a solid makes a liquid, heating a liquid makes a gas, heating a gas makes a plasma. (Compare the ancient Greeks’ earth, water, air, and fire).”

“The word plasma comes from the Greek plásma, meaning “something formed or molded. 

It was introduced to describe ionized gases by Tonks and Langmuir [in a 1929 paper — F.E.D.].

More than 99% of the known [M.D.:  visible, e.g., excluding "Dark Matter", and "Dark Energy"] universe is in the plasma state.”

[Dwight R. Nicholson, Introduction to Plasma Theory, Wiley (NY:  1983), p. 1].



The motion of the non-neutral, electrically-charged «plásma» “particles” just described continually, dynamically generates a changing magnetic field — a magneto-dynamical field of forces.
The locations and concentrations of the electric charges of these “particles”, changing moment by moment, due to that same motion, also continually change the «plásma»’s electric field of forces, sustaining an electro-dynamical field.


A «plásma» thus generates, by the continual motions of its electrically-charged constituents, an overall or collective electro-magneto-dynamic field of forces.

That field of forces, in addition to acting on anything external to the «plásma», to a degree dependent upon the physical-spatial proximity of such an “anything” to the «plásma», also acts  self-reflexively and self-refluxively  — on the «plásma» itself, also because its constituent “particles” are electrically-charged, rather than being mostly electrically neutral[ized], as in typical gas-phase matter.


The «plásma»’s field continually changes the motions of its constituent “particles”, and thus changes the electric/magnetic fields that they are generating.


Those “particles” changing positions/motions thus change their collective field, which changes their collective motions, which again changes their field, which again changes their motion. ... 


Nonlinear self-consistent motions are thereby possible, whereby the «plásma»-internal, self-generated field also guides the «plásma»’s “particles” to reproduce their very pattern of flow by which they generate that «plásma» field which, in turn, generates that «plásma» flow . . .  viz. --

“The field. . .is termed ads “self-consistent”.”

“It is determined by the distribution of particles and in turn influences their motion . . ..”
[N. N. Kalitkin, D. P. Kostomarov, Mathematical Model of Plasma Physics, http://www.eolss.net/Sample-Chapters/C02/E6-03A-03-03.pdf ].

-- and --

“This thesis investigates self-consistent electrostatic structures in plasmas and related collective systems. “

“They are coherent structures in which particles become trapped in the wave potential.”

“These phenomena require a kinetic description i.e. a description in which the velocity distribution of the particles is taken into account.”

“Trapping structures extend the areas in configuration space in which a plasma is unstable.”

“The main argument and result of this work is that there exist certain kinds of perturbations of an equilibrium that can destabilize the plasma, even if linear theory predicts stability.”

“The usual procedure in plasma theory of analyzing the stability of a plasma by means of a linearization of the equations is therefore questioned.”
[Alejandro Luque Estepa, Ph.D. Thesis, Notes, “Electrostatic Trapping as a Self-Consistent Phenomenon in Plasmas and other Collective Systems”, http://trove.nla.gov.au/work/5306782?q=subject%3A%22plasma+instability%22&c=book&versionId=6172546 ].


This dialectical process thus foments a sustained self-re-iteration; a self-consistent state [or dynate] of motion; a consistent-with-self [consistent-with-continuation-of-self] /- consisting-of-self’, self-reproducing motion of the «plásma».


Indeed, the ‘“asymptotically stable”’ solutions of the «plásma» equations, corresponding to actual long-maintainable flows [to spatio-temporal attractors, as contrasted with fleeting, “measure zero”, virtually unobservable transients], must typically have this dynamically self-consistent, self-reproducing character.


Along with any additional influences, acting upon it from its outside, from its ‘externity’, the «plásma»’s ‘internity’ thus interacts with itself, self-reflexively and self-refluxively driving its own internal motion, hence, its auto-morpho-genesis, and its auto-meta-morphosis, as a subject-verb-object-identical eventity


The «plásma» phase of atomic / pre-atomic matter-energy, thus, at least in part, exemplifies a self-forming content — a partially ‘self-shaping’, ‘self-molding’ phase of matter-energy, characterized by ‘self-[induced-]plasticity’ as well as by ‘other-[induced-]plasticity’.


The text Dialectical Ideography, in its Section 1. b., entitled Why Dialectical?, glosses a hypothetical fusion reactor design, which F.E.D. has dubbed the Cyclonetron design [link:  http://www.dialectics.org/dialectics/Dialectic_Ideography_files/5_Dialectics-Part1b-WhyDI_OCR.pdf ].

This design hypothesis is based upon, not a "magnetic bottle" equilibrium, imposed upon the «plásma» by external magnetic fields, but a plásma» bottle', a bottle "made of «plásma»", such that the «plásma» is confined by its own, internal -- internally-generated -- fields, that is, the «plásma» is confined by means of a dynamical, non-equilibrium 'self-confinement'.

A «plásma» can potentially generate and contain and anchor fields which are far stronger -- and far more effective at confining that plasma -- than the fields that any external, solid-phase magnets and/or electrodes can sustain, and still remain in the solid phase.
This design hypothesis is based upon the propensity or proneness of ‘‘‘flowing media’’’, or ‘‘‘rheids’’’  — whether they be the » electro-neutral liquid or gaseous ‘‘rheids’’’ described by the [nonlinear] Navier-Stokes system of equations, or the electrically-charged, ‘electro-magneto-active’ and ‘electro-magneto-self-active’ «plásma» ‘‘rheids’’’ described by the [nonlinear] Maxwell-Boltzmann-Vlasov [vector-]equation(s), by the Klimontovich equation, and by the Liouville equation — to “spontaneously” generate, i.e., to self-generate’, ‘‘‘cyclonic’’’ [and ‘‘‘anti-cyclonic’’’], or ‘‘‘self-re-entering’’’, vortices‘‘‘toroidal vortices’’’.


This ‘‘‘genericity’’’, by ‘‘‘rheids’’’, with respect to ‘‘‘toroidal-vortical flow-forms’’’, may be related to the ubiquitous, ‘‘‘particle-like’’’, ‘‘‘solitary wave’’’, or ‘‘‘soliton’’’, solutions that have been derived, in closed-form, for a very large and diverse variety of one-dimensional, nonlinear, partial-differential wave-equations. 

‘Neo-closed-form’ ‘‘‘toroidal vortex’’’ solutions, or ‘‘‘cyclonic vortex’’’ solutions, may be the true three-dimensional generalization of those closed-form, one-dimensional, ‘‘‘solitonic’’’, nonlinear wave solutions


We conjecture that non-pulsed, continuously-“burning” fusion reaction may be maintainable at the ‘‘‘heart’’’ of the ‘“eye”’ of a «plásma» toroidal vortex, or «plásma» micro-hurricane, induced into ‘‘‘self-precipitation’’’ in a «plásma» control-chamber whose parameter-vector of control-parameter-value set-points is appropriately tuned, e.g., via engineering guidance received from the ‘neo-closed-form’ solution of the «plásma» equations.

This conjecture is depicted below.




In the above-depicted hypothesized nonlinear self-consistent motion of the «plásma», fresh fusion fuel is injected at the base of the ‘«plásma» cyclone’, then ‘vortically’ conveyed up the ‘eye chimney’ of that ‘cyclonic «plásma» vortex’, and concentrated maximally, umbilicoid-like, at the ‘‘‘heart’’’ of that ‘eye chimney’ -- approximately half-way up that ‘eye chimney’ -- by «plásma»-borne ‘electro-magneto-dynamic’ fields, stronger than any solid-state -- e.g., metal -- magnetic field coils and/or electrodes, could source, without themselves being converted to a molten liquid phase, to a vaporized gaseous phase, or even to an ionized «plásma» phase, thus with sufficient field-strength to overcome the Coulomb mutual repulsion of the fusion fuel nuclei, thereby bringing these nuclei into a proximity sufficient to ignite, and to continuously sustain the ignition of, the fusion reaction, thence continually, ‘vortically’ conveying the fusion reaction products up and out of the top of the ‘eye chimney’ for removal, in a continuous toroidal motion, the motion of a «plásma»-constituted torus ‘rolling upon itself’.











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