Entry

Anti SpaceMatter is still SpaceMatter, but the vorticity lines within a fluid element have a vorticular gyroscope that is contra to its neighbouring fluid element. The consequence is that for two such elements the " mixing" is complete. The volume of the fluid elements will combine but form a minimum volume entity. Thus if one fluid element has a density that is higher than the other fluid element, the combined densities will be mixed into the combined volume. The combined volume may not be an arithmetic sum because the contra vorticity may compact the mixed element.

It is also allowed for the contra vorticity to expand the mixed fluid element volume.

Apart from density volume dynamics, the lines of vorticity may drive density separation and immiscibility. Thus two fluid elements may fracture into smaller fluid elements that do not combine as a " mix" because of boundary dynamics of the vorticity lines in the boundary pressure system instead they swim away, recombining with similar fluid elements. . Others may mix but pass through each other by diffusion via the lines of vorticity.

How fluid elements behave is therefore dependent on the structural arrangement and dynamics of the lines of vorticity driven by the pressure systems.

Helmholtz Kelvin and Maxwell set out a vorticity dynamic which needs some investigation . The main difficulty arises from attempting to model fluid vorticity by rigid dynamic metaphors. While rigid dynamics provides a framework, it lacks the understanding. Today fluid dynamic it's can show or visualise vorticity in laminar flows. The important point is the stochastic variability. Until Dame Margaret Cartwright and Ed lLorenz it was not believed or realised that deterministic systems could be Stochastic( ordered chaos!).

http://helicola.com/?p=excerpts&v=contents
http://www.precisionballs.com/KINEMATIC_ENCYCLOPEDIA.php

What this means for vorticity dynamics is that rigid modelling only serves as a guideline for part of an unpredictable amount of time! However in highly laminar flow systems it is observable in the wake that this stochastic variation grows exponentially and exhibits oscillatory formation of streamlines.mwe can therefore model vorticity if we add these time and formal conditions.

The complexification of vorticity means tht we need to tune our model of vorticity very precisely. We have, fortunately huge computing power and data collecting techniques which allow us to tackle this mammoth task.

Computation of these characteristic vorticity constants is vert ad hoc at the momet, but Claes Johnson appears to be getting some convincing results
To be clear: I modify the equations of vorticity to include time and form conditions and to have a feedback connection that modifies the exponential growth form.

Inertia and density are related to these lines of vorticity in that the volume of a mixed fluid element is shaped by these vorticular dynamics winding gyroscopically on the same axes or again gyroscopically off axis. Anti gyroscope gives a combinatorial explanation for attraction and repulsion while contra gyroscope helps to explain mixing and planar expansion

https://docs.google.com/viewer?a=v&q=cache:o45PrADzBvQJ:www.igf.fuw.edu.pl/KB/HKM/PDF/Moffatt_2008a.pdf+helmholtz+kelvin+maxwell+vorticity+kinematics&hl=en&gl=uk&pid=bl&srcid=ADGEESi-0UYHsKhdFF_WJpCQ9C94CcN2zpp7zXgXTj4HEk78qGiz4tx-bfIkk5yXS6LHYwk1pj4fWJ8rg-cERCz61BmWsFj7DC0gIoTk_ktV7jX13V1Toil7D1rAINuX3H_uhLvxJuPR&sig=AHIEtbRHr8A9Q-g1IxT2HzgAbQNX4-C44g

Helmholtz
https://docs.google.com/viewer?a=v&q=cache:tMSsu45jspcJ:wavelets.ens.fr/PUBLICATIONS/ARTICLES/PDF/235.pdf+helmholtz+kelvin+maxwell+vorticity+kinematics&hl=en&gl=uk&pid=bl&srcid=ADGEESjWqQWqFMWCKMjT9qQ_cvJafmm2foi9Wmd2tD0_fpdvkM41l2XJpW5Zrfj1348XTKPsaLubEy0fIvLb7uIiA6quIKKc6LFpfZRabwbDqQU0PcctuQEKbqBq-aqHVFHiokixS2yp&sig=AHIEtbQem_2FAQP1PGdqx0i0LYW7m5G-1A

Thomson(Kelvin)
https://docs.google.com/viewer?a=v&q=cache:2Lb8gMsZrRsJ:www.cs.umbc.edu/~lomonaco/kelvin/kelvin23.pdf+helmholtz+kelvin+maxwell+vorticity+kinematics&hl=en&gl=uk&pid=bl&srcid=ADGEESgSTZqQBvZ3-kjDPBK5yjfn-y09Lm53DVCvozGCgoyazhhJrDVrhslECcrHz__4JLqR4EmdSgRq1oFo00oJAKeIvlDjuN4_utuQi_xVwXgWTTgJxm7v9KCTsp0m5WxB2kcjlThG&sig=AHIEtbSEP8sIfjECcpLbtx9tATPmKbY4TQ

Tait

http://en.wikipedia.org/wiki/History_of_knot_theory
http://en.wikipedia.org/wiki/Viscoelasticity
https://docs.google.com/viewer?a=v&q=cache:UVNCcXFQAAcJ:pergatory.mit.edu/kinematiccouplings/documents/Papers/three_ball_and_groove_couplings/Optimal_design_techniques_for_kcs.pdf+helmholtz+kelvin+maxwell+vorticity+kinematics&hl=en&gl=uk&pid=bl&srcid=ADGEESgyYE1VjqfiPj4fgghoOZZm9puazAK3wdmtwBjW8bLPwaE97RQRsk6InJ_KoIs-Bg0zuYSXKepTkSYo8HvsHxWfOYK_AFtgj7Byek5Ii2XPorsfIDLtcmzG_oLoEdgszQAphjcd&sig=AHIEtbSTLvTS77JwvqjWRN8l0tLjr9KyHg

Maxwell

http://www.univ-nancy2.fr/DepPhilo/walter/papers/naturedarrigol.htm
Kinematics
https://docs.google.com/viewer?a=v&q=cache:EOGN3pCfbiAJ:www2.esm.vt.edu/~dtmook/AOE5104_ONLINE/Class%2520Notes/08_Class_KinematicsVorticity.pdf+kinematics+of+vorticity&hl=en&gl=uk&pid=bl&srcid=ADGEEShD4WKwVU3PqnzqV9mRGqFKtBlA2RmevPu–Cx3sPddVZJD0VSdTjQX40youe_rLQIlMO1Ce3HQFFrTW-r849mdirIuV8aN0nWgSndOsAatZU1mqKEnzmy6-gDMyO9aSE9CWFMQ&sig=AHIEtbQwAtX420r4PtfBRDDHmWuWK8vBww

https://docs.google.com/viewer?a=v&q=cache:5Ecn4-bS3WsJ:www.lcs.syr.edu/faculty/lewalle/FluidDynamics/fluidsCh2.pdf+kinematics+of+vorticity&hl=en&gl=uk&pid=bl&srcid=ADGEESjIgchEbE7G2r7A8G8-8C_oDSz5gb651UL0ENEqwo8Xl3QHF2gU9VvKbtRD07decgpEcu0fVAHjtnQ_iEqRrgIpxgXayMP6bwTL6nkVK41GmCX2KUD7yyvIMI6UO069p3f6Kiw7&sig=AHIEtbShF0aKQLeSeQ8ykT5yC21KCtHfyQ

The rigid body assumption that leads astray

http://web2.clarkson.edu/projects/subramanian/ch527/supplem/vorticity.pdf

Gyroscopy

https://www.boundless.com/physics/rotational-kinematics-angular-momentum-and-energy/vector-nature-rotational-kinematics-2/gyroscopes-2/
http://www.real-world-physics-problems.com/gyroscope-physics.html

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