END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

Betchen sent me this.

Kali wrote this formula, in which the scale and angle are changed throughout the iterations. This is a 2d/3d formula and i will work on a 3d form of it.

I am exploring some formulae around gravity and electromagnetism using Quasz. Certain vectors and vector/tensor combinations are becoming familiar to me, and complex and quaternion vector algebras are providing models of space-time . Because the fractal generator is effectively a cutting tool the models produced are in "negative" in a sense, with surfaces and bound regions representing less volatile regions.

The models so far exhibit a big rotational vortex precedes a calmer steady state-like phase. The rotational region continues out at the edge of the universe, clearly weaker.

I now have a referent and that is the Van Allen radiation belts that surround the planet. The details of this model are crude, but then it is a crude inverse square law motion in a constant solar pressure field c. The two wells correspond well with the aurora borealis effects of the magnetic field effect. That electric and magnetic effects are not well differentiated is again due to the crudeness of the model.
In my blog I discuss the electromagnetic origin of gravity.
http://jehovajah.wordpress.com/jehovajah/blog/newtons-magnetic-gravity-6

I also discuss the controversial origin of the manifold concept in Die Mannigfaeltigkeit in my blog post archives.

I am currently looking at quaternions in detail to understand better how to model these relations in sculptures by Quasz

Sometimes I frighten myself! When I look back over my blue skying and find I have written something I clearly did not understand at the time, and then when I come to note something I do understand I find I have already written it!

In this candidate post I write down basically a Fourier series  type formulation, based on my current research into Grassmann's Vorrede to the 1844 Ausdehnungslehre.

This represents the Newtonian fluid motive ie the energy plasma motive of pure space and in pure space as the electro Thermo magneto fluid element complexes of our formal subjective processing.

(coshmx+ sinhnx)•exp( cospx+isinqx+jsinrx+ksinsx)
For m,n,p,q,r,s as independent frequencies from 1 to N and -<x<
And can have as many terms as feasible or desired.
In fact I do not restrict the arguments of the trig functions to x in the quaternion iteration in Quasz. More interesting results are generated using x#,y#,imaj(z), imak(z) appropriately.

The sinhx + coshx *)represents the radial extension usually associated with electrostatic energy, but Ivor Catt has shown there is no electrostatic energy! Rather this energy he says is constantly dynamic. However I do not even regard it as electric or magnetic. It is the radial expansion component of a vortex spatial dynamic, the rotational component  cospx+isinqx+jsinrx+ksinsx , usually considered as the Magnetostatic energy is in my view the rotational component of the vortices In space and of space.

Magnetism, as empirically evidenced in a wire or a lodestone is due to the organised structuring of these spatial vortices. In particular in a twisted copper wire, the induction process of the vast sea of vorticular motion rolling onto the wire organises and concentrates the vortices to stretch out along it's length. The twist is put into the wire in its manufacturing process as it is drawn.
The inductive action is by Maxwell defined as conduction, and thus conductivity and inductivity are the same measure.

Because the new science wanted to distinguish itself, and because of industrial and corporate concerns and patents we lost sight of the simple Gilbert plasma model for these Phenomena.

While this formula is just the description, I will use it to generate some sculptures of how this iterates through space in its manifold forms and constraints, both as a Julia type and as a Mandelbrot type

*) also I use coshx + i*sinhx as a direct vector form of the radius, as Grassmann derives his concept using a general trig line segment! It gives similar results but shaped differently.

The posted equation does not produce an interesting julia. It is in fact a blank space until bailout 22.03 , then it is a uniform density . It represents either a cloud or an intense density.  however the mandy type produces the attached sculpture.

To place this thread in its context view this general discussion.

<a href="http://www.youtube.com/v/XDAJinQL2c0&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/XDAJinQL2c0&rel=1&fs=1&hd=1</a>

While I do not hold the same opinion as the good professor, nevertheless the empirical data does require intuitive models based on geometry and a prior Mechsnics. The results obtained by using Grassmanns analytical concepts, even partially understood are very illuminating.. I claim that thermodynamics is an incomplete theory, completed only in electromagnetodynamics, which itself is inconsistent without thermodynamics.

Further more, this complex of principles has one simplifying notion : that of rotating space dynamically dilating at all scales.

My sculptures are an attempt to show this notion has merit as a formal model .

http://m.youtube.com/watch?v=35Y7u_VDrww

It has been a while since I posted an update, but it has taken until now to see images published that look like the sculptures of those motion equations i was experimenting with so long ago!
It really indicates to me that iteration, rotation and fractal geometry is the most fruitful process for modelling natural phenomrena at all scales !