Subquantum Kinetics: Autogenesis in 2 Dimensions

This is a 2-dimensional simulation of the process known as autogenesis in the framework of subquantum kinetics (SQK). The initial conditions at t=0 are two particles situated next to each other. The reaction-diffusion system known as Model G, under specific system parameters, gives rise to natural particle formation in the vicinity of existing matter. In this case the system parameters create a super-critical environment in which new particles are created with ease, such as in certain life stages of a neutron star (the particles being actual neutrons) or in the center of a galaxy in which the rapid matter formation can give rise to a galactic superwave.

More specifically, what is shown are 3 etheric substances:

  • Y or Y-ons (tall yellow peaks and surrounding green rings)
  • X or X-ons (purple secondary rings, and inverted peaks below the plane seen near the end of the simulation)
  • G or G-ons (blue and can only occasionally be seen between the X and Y, and along the edge especially near the end of the simulation)

According to Model G, these are involved in the 5 reactions:

\begin{gather*}A \overset{k_1}{\underset{k_{-1}}{\rightleftharpoons}} G\qquad G \overset{k_2}{\underset{k_{-2}}{\rightleftharpoons}} X\\ B + X \overset{k_3}{\underset{k_{-3}}{\rightleftharpoons}} Y + Z\qquad 2X + Y \overset{k_4}{\underset{k_{-4}}{\rightleftharpoons}} 3X\qquad X \overset{k_5}{\underset{k_{-5}}{\rightleftharpoons}} \Omega\end{gather*}

along with other etherons A, B, Z, \Omega which are held constant. Incorporating the process of diffusion (using Fick's second law) yields the reaction-diffusion differential equations for G, X, and Y:

\begin{align*}\frac{\partial G}{\partial t} =& {\cal D}_G\nabla^2 G - (k_{-1} + k_2)G + k_{-2}X + k_1 A\\ \frac{\partial X}{\partial t} =& {\cal D}_X\nabla^2 X + k_2 G - (k_{-2} + k_3 B + k_5)X + \\ &k_{-3}ZY - k_{-4}X^3 + k_4 X^2 Y + k_{-5} \Omega\\\frac{\partial Y}{\partial t} =& {\cal D}_Y\nabla^2 Y + k_3 BX - k_{-3}ZY + k_{-4}X^3 - k_4 X^2Y\end{align*}

These equation determine how the system evolves in time, from the initial two particles at the beginning of the simulation. For more information, see Stationary Dissipative Solitons of Model G.

It is interesting to note the similarity of these equations with the Schrödinger equation of quantum mechanics:

i\hbar\frac{\partial\psi}{\partial t} = -\frac{\hbar^2}{2m}\nabla^2\psi + V\psi

One present goal of current research is to find a correspondence principle between subquantum kinetics, and established quantum mechanics.

What is Matter?

One deep philosophical problem that SQK elegantly addresses is the question of what is a fundamental particle? SQK approaches this question from a systems perspective. That is, it looks at families of etherons and their interactions with each other. Like biological systems, the "fundamental" particles are not really fundamental at all, anymore than a biological organism is. They both consume, transform, and release substance from and to their environment. It is this dynamic interaction that maintains their forms. This "systems thinking" has permeated virtually all scientific disciplines, from geology to psychology, save one: high energy particle physics. It is still trapped in the paradigm of early 20th century thought. (And given the orientation of this web site, I might add that this is very convenient to those who wish to suppress certain technologies that would result from the suppressed physics.)

If SQK explains matter in terms of the ether, isn't that just pushing the question of what is fundamental forward?

Yes. However, much is explained now in terms of far less. The ether is a very simple substance, with virtually no structure at all. It only does 2 things: it reacts (like in the 5 kinetic equations above), and it diffuses. Diffusion is also just a direct consequence of random movement - it would be more unusual if it didn't diffuse. But that is all the ether does. It has no mass, no spin, no charge, no magnetic field, and no known structure. But the structures which naturally form from the ethers can have these properties. This is the payoff. It is the goal of physics, and science in general to explain the complex in terms of the simple, preferably with beauty and elegance, and to make predictions about the world. Subquantum kinetics does this.

Update 2014 July 18
The C++ code for these simulations is open source.

5 thoughts on “Subquantum Kinetics: Autogenesis in 2 Dimensions

  1. Wow - well done, Matt.

    (Paranoid Firefox browser users such as myself, who often disable Javascript, will want to enable it for blue-science.org and mathjax.org, or else Matt's key five reaction-diffusion differential equations for Model G will show up in what I guess is their raw Tex typesetting form, not at mathematical equations.)

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    • Thanks! This uses a numerical algorithm called exponential time differencing with 4th-order Runge-Kutta, or ETDRK4b as it's called. This should readily generalize to 3 spatial dimensions. I may be hitting you up to help optimize the C++ for multi-core machines :)

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  2. Matt wrote:
    >> I may be hitting you up to help optimize the C++ for multi-core machines :)

    Well ... as we saw a couple of years ago, there was a basic gap in my understanding of how to convert these equations into low level code. If my memory serves me correctly, I didn't know how to adjust the code to handle varying the resolution of the time incremen (delta-t) to obtain sufficient accuracy. I was basically stuck at a single granularity of clock rate, resulting in unstable results.

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    • That's all taken care of :) The 3D sims can take days. Given that this is running on Linux, I have no doubt you'll be able to parallelize this better than I could.

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  3. I have enjoyed making connections between SQK and Bohm-DeBroglie QM / Implicate Order. I think that if Bohm is correct, and a fundamental "motion" or "process" underwrites the "explicate" universe, then a reaction-diffusion type system would make sense. They come in both organic and inorganic varieties, so the vacuum doesn't necessarily have to be "alive", though it might have some type of "cosmic consciousness" or "proto-intelligence" associated with it (as is postulated by Bohm). SQK also fits well with Bohm's model of the electron, which Bohm suggested might be similar to a complex quantum radio/transducer of sorts. Whereas orthodox physics simply views the electron, proton, etc. as highly simplistic closed off from their environment.

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