**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.

**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 (Now superseded by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.

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.

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.

**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.

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.

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.