The Mathematical Analysis

The Objective Information Process & Virtual Subjective Experiences Hypothesis: A bottom up reformulation of the virtual reality hypothesis and the philosophical foundations of science without the distortions of naïve realism and all the problems and paradoxes that it entails.

System Science of Virtual Reality: Toward the Unification of Empirical and Subjective Science: A book that describes the core mathematical and conceptual principles that underlie this entire work. Provides a detailed overview of the mathematics of information system theory and a re-derivation of quantum mechanics. Also discusses naïve realism and the hard problem of consciousness.

For a general introduction see Information Systems Analysis of Mind, Knowledge and Holistic Science: It is a discussion of all the major issues raised on this site and serves as a coherent expression of the underlying vision that drives this work.

If you still want to see more broad general discussions see A Conceptual Bridge: From Science to Spirituality, which is the draft a book that I am writing. It incorporates all of the principle ideas presented on this website and structures them into a single discussion.

The Principal Documents

Finite Discrete Information Systems

This is the detailed definition of SMN. (Now superseded by System Science of Virtual Reality although it still contains some issues not addressed in that book) It relates to general system theory, the modelling of general systems and massively parallel distributed computing, the mathematics of SMN and the development of a system theoretic engineering paradigm. Here I discuss general system modelling methods and some useful techniques for constructing, analysing and simulating system models. To dip into this analysis see this brief discussion on SMN modelling and these general comments. See also this brief discussion on the concept of a System Oriented Modelling Environment.

Finite Discrete Closed Information Systems

This document details a group theoretic analysis of SMN and produces some interesting results regarding the overall structure of our universe based on purely computational arguments. It indicates that the Planck scale constitutes a dynamical group that lies at the heart of the simulation of our empirical context, and that it naturally gives rise to quantum and relativistic phenomena. It also suggests that the universe is spatially flat and finite in extent with finite discrete gravitational potential energy being the limiting factor, and also that there is a universal inertial reference frame (however it is not a physical ether, instead it is a computational construct operating within the simulator). This discussion on FDCIS's analyses the detailed properties of the underlying information process that produces the empirical or physical universe, which we then perceive and experience. This opens up avenues for further scientific exploration based upon information/system theoretic modelling and experimental verification. For some general comments from this discussion see here.

Cyclic Computational Model

This document describes a computational regime that relies on cyclic rather than binary processes, with a phase eccentricity giving rise to the emanation of cycles within cycles which are finally terminated by quantisation entropy. From within the simulated universe these are the waves or resonant energy states that fill up the quantum vacuum. It also mathematically derives aspects of the Planck scale of our physical universe based upon purely computational arguments, and it makes explicit the relationship between transcendent information and empirical energy, between transcendent iteration and empirical dynamics as well as perceptual resolution and the type of world that is experienced.

All Related Documents

Finite Discrete Information Systems: a discussion of the mathematical details of SMN,
    Finite Discrete Information: Defines the lowest level information constraints,
Finite Discrete Closed Information Systems: A fault tolerant computational process and its use as a reality simulator,
Cyclic Computational Model: exploration of a computational process based on cyclic rather than binary phenomena,
    Temporal Notation: mathematical tools for dealing with multiple nested temporal contexts.

Also see:

Spatial connectivity matrices for N-dimensional Euclidean spaces: A general network has a non-dimensional topology however by placing particular constraints on the network we can create networks with dimensional topologies.

Computational Processes
This is a mathematical and conceptual proof that reality can be thought of as a computational process and that the class of general computational processes is broader than algorithmic processes. It also gives an argument indicating that a computational reality does not imply simple pre-determinism but rather 'self-determinism'.
Mathematics of Intension
This discussion explores the mathematics of influences applied to probability distributions. I develop a mathematical model of will power, which describes the action of intentional influence or the use of will power to influence the state of a system. The model describes detailed relations between the quantities focus, force, will, will power, influence and effect. The model gives rise to quantifiable and testable predictions regarding the degree of effect on systems in different scenarios. These could be experimentally tested using REG machines or other such experiments. In this way I propose a possible method for the scientific analysis of will power and intentional influence.
Metaphysics of Virtual Reality
If a computer creates a virtual reality within which artificially intelligent beings contemplate their situation, how would such a world seem to them? What metaphysical concepts would they arive at? What would it be like to be an AI being in a virtual world?
System Theoretic Metaphysics and the Unification of the Transcendent and Empirical Sciences
Discusses the ramifications of adopting general system theory as one's metaphysical foundation. This helps to situate both the materialist and spiritualist paradigms within a single system theoretic paradigm and thereby unify the two.


Other Related Works: a small collection of comments on and links to other people's work that relates to these ideas.

Process Systemics: conceptualising this work as a fusion of process philosophy and system theory.

SMN Source Code: the detailed software definition and implementation of SMN,

For some beautiful images of finite discrete information spaces see either (information space images) or (force field images) . They give a graphic indication of the difference between the classical concept of space as smooth and the quantum and computational concept of space as finite and discrete. In a smooth space that had infinite resolution all of these images would be simple concentric rings of colour but in a finite discrete space we see incredible images arising due to the quantisation effects. There are an unlimited number of these images that can be easily generated by only a few lines of computer code.

To read some essays on topics that I feel to be of relevance and that have been informed by aspects of the systemic or computational paradigm see the list of general discussions.

Introductory Notes

The ideas presented here are the more explicitly mathematical aspects of a much broader work, which is an exploration into an information/system theoretic metaphysics of the nature of reality. This mathematics and its software implementation is the foundation of what I call the computational paradigm and is the main information that this website seeks to disseminate. It also seeks to incite open minded critical peer review, to help separate the wheat from the chaff.

The core of the mathematics has been directly implemented in software thereby recreating the central algorithm and showing that it constitutes a transcendent information process that manifests coherent experiential contexts or virtual realities. Arising from this algorithmic core there are several analyses that lead to very interesting results and everything else presented on this website rests upon this mathematical foundation and arises as the ramifications are extrapolated, contextualised and deeply contemplated.

Here I make extensive use of the languages of system theory, mathematics, computational science and physics. However these are traditionally applied solely within a materialist paradigm based upon unquestioned empiricist assumptions; they need not be constrained to this narrow context. For an overview of this work; it's general approach and goals see Overview. Also see the discussions on the overall metaphysical context. This work represents a significant paradigm shift and those familiar with the nature of a paradigm shift will understand that it necessitates a redefinition of many principal concepts and once familiar associations. At the very least have a look at The Scientific Basis, Academic Overview, System Theoretic Metaphysics and Computational Paradigm to help contextualise the mathematics since without a general understanding of this, the overall meaning of the mathematics would not be clear. Also see The Information Theoretic Metaphysics of Ross Rhodes.

Within the mathematical discussions the metaphysical implications have not been explicitly drawn out in most cases since this would detract from the flow of the mathematics. Thus for now it is left up to the reader to connect the mathematical discussion and the metaphysical context described in the essays together in their own mind, only then can one realise the full implications. I hope that future dialogue will help draw out the countless subtle connections. But this metaphysical paradigm will be difficult for many people to comprehend at first and needs to be approached with subtlety and an open mind because it challenges some of the most deeply held and unquestioned assumptions that lie within the foundation of the empiricist world view. At first one may simply think of this work as a mathematical analysis of general systems, of massively parallel distributed computing and the phenomenon of virtual reality as it is generally understood within the field of computer science. However this can only take one so far; once the mathematics starts to make contact with the quantum vacuum one must start to consider the metaphysical implications as well, and ultimately the role of subjective perception in the construction of the empirical universe must also be taken into account. In all these matters I am happy to help by answering any questions and clarifying any points of uncertainty. To the limit of my abilities and my circumstances I am at your service to help clarify these ideas and integrate them with others. See contact information.

The format of the mathematics is not a descriptive tour or a persuasive argument, I am not trying to sell anything or push this idea onto resistant minds. It simply opens up a context that provides for the mathematical exploration of information systems and the concept of virtual reality, and also via metaphysical inference the concept of reality. There is a progression of ideas, but it is primarily illustrating a set of tools whereby one may explore the transcendent context for oneself. It provides various mathematical methods, models, concepts and software prototypes with which one may explore the metaphysical concepts and their ramifications on the world that we ultimately inhabit and experience. I am working on the development of a descriptive tour but this will take time. For now see Information Systems Analysis of Mind, Knowledge and Holistic Science: It is a discussion of all the major issues raised on this site and serves as a coherent expression of the underlying vision that drives this work. And also the draft of the book A Conceptual Bridge: From Science to Spirituality.

For a broad overview of the main mathematical approach called System Matrix Notation (SMN) see these discussions.