ParticleDraw is an initial software implementation of abstract mathematics that arose from metaphysical research. ParticleDraw is still in development and is evolving into a mathematically derived operating system for "general systems".

The brushes used in ParticleDraw are dynamic systems of particles with interesting behaviours, completely customizable. Each brush is intricately tuneable with many underlying physical parameters and one can construct arbitrary systems of particles and us.

ParticleDraw was inspired by system theory and ancient metaphysics and is essentially a fusion of esoteric mathematics with computer science.

ParticleDraw provides a reality generative process that manifests existential spaces with fundamental information theoretic properties similar to our own empirical universe.
ParticleDraw is a program that can not only simulate particles but can also deal with other items. In fact if you "add a system" then choose to add a "sys_wrapped" system instead of a particle you will see that it can simulate generate software as well.

It pops up a dialog box with a simple calculator in it, entirely simulated by SMN. If you pause the simulation engine (press p) the calculator will be frozen. These simple systems just show that the mathematics can simulate systems.

In future it will be far more general and could be used for software engineering, VR game construction, complex interactive web design, scientific simulation and analysis, and so on.

ParticleDraw truly simulates or creates "general systems", which can be ANYTHING. So long as you know how to represent the existential and causal structure of the system SMN will then bring it to life and you can play with it.

This program does not illustrate true virtual reality because only a simplistic view is provided. This was for ease of programming since this program is mainly just to illustrate that the mathematics is coherent.

If the view of the virtual universe was derived from a 'camera' that existed within the virtual universe then that camera would provide a true empirical perspective of the virtual reality.

In that way the camera could move through the virtual universe and one could explore the virtual world from that perspective just like in VR computer games. This does not add any conceptual complexity to the SMN model but simply requires a little more development of the interface.

Another simple extension of this program could transform it into a generalised system design suite in which one could construct arbitrary system models and also do software engineering using a graphical interface.

At present the systems must be designed and implemented by writing code that constructs the System Matrix and the State Vector. However the particle view could be used as a generalised system design view, where each system is represented by a particle, which is just a general system icon.

But when the simulation is actually run each system would have its own outer appearance, e.g. it might be a dialog box in a program or a vehicle within a virtual reality game.

In the design view one could right click on the system icon to define the properties of that system. One could also draw associations between the system icons to create relations between systems and then right click on these to define their properties.

In terms of the SMN system model the icon represents the state vector element and the diagonal system matrix element, and the associations between icons represent the off-diagonal system matrix elements.

Another simple application is that SMn can effortless take any number of isolated computers with access to a central data store and turn them into a single massively parallel computer.

The data operations are trivial and no read/write clashes can occur in the common data store. It could theoretically assimilate millions of computers over the internet into a single super-computer.

Then this could be used to create a VR interactive environment with deep metaphysical properties within which we could participate. The mathematics of SMN effectively give 'cyberspace' a deep mathematical and metaphysical foundation.