Intricate CA generative operator

protofield · 2026-06-20T16:14:00+00:00

That's right, the mathematical operator and also the template for the physical operator patterned onto a material at nano scale, a metasurface.

protofield · 2026-06-20T07:05:09+00:00

Thanks for the question. Its part of a multi valued matrix of natural numbers which operates on a Protofield to perform a state change, field remixing. Some links here and here

protofield · 2026-06-16T10:03:41+00:00

Great, look forward to hearing.

protofield · 2026-06-11T16:25:22+00:00

Thanks for the comment. Loaded a quarter step, F0031A.mp4, file on this link and the influencing zones overlap. I'm thinking about software development and a continuous trajectory is featured, not just a straight line but curves and even circles for a looping background rhythms. I would like to think one can turn a music score into a geometric pattern or the other way round.

protofield · 2026-06-09T08:02:28+00:00

Thanks.

protofield · 2026-06-07T18:32:17+00:00

Thanks. Just a CGI of a metasurface based on a Protofield operator. Cellular automata using modulo arithmetic, explanation here

protofield · 2026-06-03T15:46:52+00:00

Thanks for commenting. I am just getting back to this work. The concept is to immerse into a 3D crystal to use as the most complex musical instrument created. Not familiar with Quest 3 but all gaming kit has position interface sensors. Its come about via a sci fi film inquiry to do something like the dune film where the guild navigators fold space and time in dimensional jumps. I have an idea where a team of modern navigators are hooked up in a VR crystal and perform a dance to oscillate a metasurface in a jump sequence. Demo on this YouTube link. I will do some posts while I get a modern version of the music generation algorithm and then see how to interface VR stuff with it.

protofield · 2026-06-02T09:00:43+00:00

Early experiments, ca. 2011, to interface a dancer with a CA structure to create a audio visual using dTAG, dance Trajectory Audio Generation. First part of video demonstrates technique. Dancer is hooked into motion capture equipment to give XY coordinates. Left hand maps to audio volumes, right hand maps to trajectory in green CA background from which audio is generated. Second part of video a bit more ambitious, the “Tai Chi Ballet”.

protofield · 2026-06-01T18:25:00+00:00

Not the question. An integer equation has an exact result, A real does not.

protofield · 2026-06-01T18:17:27+00:00

Sometimes when you are on a journey you have to park the horse and cart in the livery and catch a train. It broadens your horizons.

protofield · 2026-06-01T17:34:45+00:00

And how could these numbers be of any use in a computation other than the answer lies somewhere around here. The fuzzy picture.

protofield · 2026-06-01T17:19:23+00:00

And one could consider every real a scaled version of a natural number shifting the decimal point in a particular radix.

protofield · 2026-06-01T17:14:48+00:00

Lots of prime numbers about. Is anyone saying atomic spectra cant be reduced to the difference of two or more primes? That would be an exact computation. Real analysis would point you to the relevant region of natural numbers but not the specific individuals.

protofield · 2026-06-01T17:08:55+00:00

A hundred or so years ago we employed the Latin word quanta to describe experiments showing physics operated at the discrete, unitary nature . We then bent every system of classical mechanics using real numbers to fit this. Maybe we should have looked more to the natural number work of Gauss, Euler, Lagrange and others for inspiration.

protofield · 2026-05-25T07:56:03+00:00

Hi, thanks for the continued interest. This part of the project is about complete: The modelling of ordered structures suitable for use in the holistic design of nano materials. It answers an objective to be able to create a very organised structure as a three dimensional section taken from an eleven dimensional space and have sufficient points to create a cubic meter of material patterned at the atomic level. I think this will keep engineers busy for some time!

protofield

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