Key Information - The Unifying Theory of Entropy
Biography - Graham C. Willett
Graham Willett was born in Sydney, Australia in 1947. His childhood was spent in the Sydney suburb of Epping and later on a dairy farm in the small community of Jaspers Brush (near Berry) on the picturesque New South Wales south coast. At the age of 17, he moved to Sydney for his tertiary education and has subsequently lived in various parts of Australia during his professional career. Graham moved to Queensland, Australia in 1991, where he still resides.
A graduate of The University of Sydney (BSc - 1967 and MSc - 1978) and Sydney Teachers College (Dip Ed), Graham's professional career spans over twenty years in the Australian mining industry working as a geoscientist, project manager and company director and a further ten years in the field of higher education.

During his time in the mining industry, Graham worked throughout Australia and overseas on mineral exploration, mineral development projects, commodities marketing and on the development of minerals processing technology. His involvement ranged from the conduct of successful mineral exploration programs to the project management of a $20 million final feasibility study on the Mt Weld development project (Western Australia) involving the mining, downstream processing and marketing of rare earth compounds. The partners in this development project were Mitsui (Japan), Marubeni (Japan) and Carr Boyd Minerals (Australia), with Union Oil (USA) acting as a silent partner.

Throughout his career, Graham has demonstrated ability in the development of conceptual models of mineralisation and was associated with seven mineral discoveries including the aforementioned world-class deposits at MT Weld. He is also the author of a number of scientific papers relating to nickel and rare earth mineralisation. Principal employers included the Belgian company Union Miniere, Union Carbide and Union Oil of California (UNOCAL) from the USA and the Australian companies, Carr Boyd Minerals and Ashton Mining.

Graham's experience includes corporate strategic planning, setting of corporate policy and management to Board level, recruitment and management of multi-disciplinary technical teams engaged in research & development (R&D), overseeing financial and legal matters relating to major projects and negotiating deals at a national and international level. He has personally visited numerous technology companies in Europe, Japan and the USA in the fields of electronics, glass manufacture, automotive, alloys, ceramics and super-magnet fabrication in his role as Project Manager of the MT Weld development.

Graham is currently proprietor of his own business under contract with the Queensland University of Technology (QUT), Brisbane, Australia to market and manage the CEED Program (which places senior undergraduate and post-graduate students onto industry projects for their theses) on behalf of QUT and The University of Queensland. The work involves advising Queensland industry on R&D, setting up contracts and training students in conceptual thinking and project management. He has been with the program since inception (1992) and managed over 240 projects during this period, generating funds of over A$1.7 million from industry to operate the Program.

Since 1996, Graham has also been developing an exciting new scientific theory - The Unifying Theory of Entropy - a theory that recognises the basic coding of nature, which leads to the diversity of all patterns of behaviour observed in the natural world, including human society. Graham formed a private company, Living Business Systems (Aust) Pty Ltd, in early 2000 for the purpose of commercialising the theory.

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Background to the Discovery
In 1996, Graham Willett began to take an interest in the field of 're-engineering' of processes for business and manufacturing that had recently emerged from the USA (Hammer and Champy, 1994). These authors suggested methods for analysing business processes and "re-inventing" organisations that achieved, at times, quite spectacular results. The interest in processes was becoming prevalent in the various engineering disciplines taught at local universities and gaining momentum in many of the local industries in SE Queensland, Australia. Willett, in his role as Program Co-ordinator of an industry-based student-training scheme for the two major universities in South-East Queensland (Queensland University of Technology and University of Queensland), evidenced an upsurge in "process-based" student projects. While moving extensively around industry to place students into science and engineering Research & Development projects, he noted the same or similar processes cropping up repeatedly across very diverse settings and industries.

By late 1996 it was becoming obvious to Willett, and many others, that 're-engineering' as a new methodology was experiencing both spectacular successes and flops. Willett observed that the key problem with 're-engineering' and other process-related methodologies was that they lacked a scientific basis of observation and measurement - rather, they had emanated from university business schools. Willett asked himself what constituted a process and what were the rules governing its behaviour? On these points the literature was sparse and inaccurate. It soon became obvious that to understand processes, a new understanding of the science behind processes and their mechanisms for change was required.

Willett's study of these issues soon ran into significant problems. While Chaos (Complexity) theory described the phenomenon of self-organisation and had produced significant evidence in support of this, the notion of self-organisation ran contrary to the common interpretation of the Second Law of Thermodynamics and of 'entropy' (described later). Willett noted that Chaos theory was inadequate in this regard. Until this basic problem was solved, the theory of processes (systems) was going nowhere.

Willett then took a different approach. Having a background as a petrologist, mineralogist and crystallographer, he was fond of classifying things and describing their properties. He began to identify processes according to their fundamental properties and resultant behaviour and noticed that each pattern of behaviour was derived from a distinct geometry of process. At the time this observation appeared interesting, although it was only later that the full significance was apparent. Willett began to derive a set of "rules" that controlled the behaviour of processes. For example, without the ability to add processes sequentially only random events are possible. In this case, the resulting system is deterministic, inflexible and predictable. Such systems could easily be controlled. However, once an iterative process (new rule) was introduced into the system it became adaptable, flexible and less controllable or predictable.
After approximately a year of work, Willett recognised a small number of prime process geometries from which a diverse group of process geometries could be derived. It was observed that the same geometries could be used for both ordering and disordering reactions. Willett surmised that another factor (the role played by entropy) was involved in determining whether a process would be ordering or disordering when changing state. (Note: some scientists still regard entropy as being a measure of disorder and others see it as the dispersion of energy. The latter case is more accurate but still assigns a minor status to the role of entropy in nature, according to Willett).

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Willett's First Breakthrough
On the evening of 17th August 1997, Willett made his first breakthrough. He discovered the hierarchical relationship of some 20 process geometries. New geometries were quickly predicted from the structure that was emerging. By using four basic natural coding units (addition, iteration, replication and response), it was possible to derive a hierarchical structure of new geometries, each level exhibiting increasing complexity and capability of process. It was this structure that scientists worldwide have termed the "mathematical code" that generates the universe, in anticipation of its discovery (refer interview with Stephen Wolfram in 'New Scientist', 25 August 2001). The composite pattern that emerged from the work of Willett was one of capability of process. Willett recognised the emerging pattern as the structure controlling evolution.

The Basic Codes
Graham Willett of Living Business Systems has discovered that process systems can be scientifically classified - by their geometries, properties and patterns of behaviour. This discovery is the foundation of the Unifying Theory of Entropy (developed by Graham Willett), on which our methodology is based.
This means that we can design systems or products for pre-determined outcomes/ behaviours - eg. if you want your product or business system to behave a certain way, it can be designed for that result (simple example: to get a predictable, consistent result on a manufacturing line, you need a "closed" system design) (more complex example: to propagate your product in an e-commerce system, you need a "open, replicating or iterative" system design).
To date, we have recognised in excess of 40 geometries (the four basic geometries are outlined below). The ‘higher order’ geometries are particularly significant for advanced technologies, business strategies and sophisticated products - contact us to discuss further.
We have used symbols developed by Living Business Systems to illustrate the definitions, characteristics and behaviours of each geometry.
Below are descriptions of the 4 basic geometries:
Addition Iteration
Replication Response

Addition  
 
Definition: Closed systems (using only 'addition' geometries) are restricted to change by the addition of process only.
Characteristics: Rigid and predictable, restrictive boundary conditions, closely control outcomes, easily de-stabilised.
Behaviour: Limited to specific controlled patterns. No room for adaptation or negotiation (decision making occurs up-front).
Examples: Routines, manufacturing production lines, standardised procedures, financial reporting, behaviour of typewriter.

Iteration
 
Definition: Iterative systems combine the addition of process with that of iteration of process.
Characteristics: Systems are adaptable (continuous decision making) for a changing environment. Often seamless in application.
Behaviour: Less controlled and predictable than closed systems (ductile and adaptable by comparison), operate by trial and error.
Examples: The flexibility and added complexity of open systems is better suited for the development of technology, strategic planning and planning for product behaviour. A simple example is a word processor.

Replication
 
Definition: These systems represent both addition and replication of process.
Characteristics: A closed system (efficiency and control, predictable outcome) that is replicated (behaving like an open system) in a new location or environment due to proven success.
Behaviour: Successful closed systems propagate by replication as an open system in order to reap and perpetuate greater benefits.
Examples: Franchises, chain stores, natural plagues, multilevel marketing, email virus, chain letters, photocopier, DNA, copy & paste function in software.

Response  
 
Definition: Response systems are reactions to stimuli, ie resulting from attack or confrontation.
Characteristics: Manipulative, confrontational, defensive and generally inflexible.
Behaviour: Reactionary.
Examples: Union action, win-loss situations, revolution, war. They may also be co-operative where best interests are jointly shared, ie win-win deals.

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Willett also discovered that these system geometries form a hierarchy or template (the structure that controls evolution). This discovery is important. It means that, by using our new methodology, Living Business Systems can design systems and products for enhanced performance ... systems that allow for change and growth in your business. It also means that we can analyse current process systems and re-design them to evolve ... to the next level up the hierarchy (or beyond). This methodology works equally with products, services - across all industries.

One implication for business from this discovery is that the behaviour of process systems (incl. products and services) can be evolved for superior performance. Simply, companies that evolve their process systems to a higher level, will become leaders in their respective fields.

Needless to say, knowledge of this hierarchy and how this methodology is applied, forms the key Intellectual Property (IP) of Living Business Systems.

Example - Evolution of a System
See below diagram for an explanation
Explanation of above diagram
1st level of hierarchy - Closed systems (bottom of diagram)
Our example begins by illustrating a company with ‘closed’ system Sales and Finance departments. The two departments don’t have access to the same information about their customers, client contacts, order trends, payment history because they work in isolation from one another. Commonly, with this type of system, Sales & Marketing are building relationships with clients or closing a sale and Finance may be ‘hassling’ the same client about late/short payment of an invoice - the departments are pulling in different directions due to lack of information/communication, and the client gets annoyed.
2nd level - Iterative system:
The two departments start communicating with each other, linked by a database. Each department can now view the status and history of customer orders and their payment history. Both departments can add information and therefore, improve the depth of information available to each other and improve communication with clients, ie the Finance department will know if a sale is pending the client’s decision and the Sales department will know if the client has an outstanding/short payment in the system - therefore, both departments will be more likely to work together to ensure the order and payment is achieved.
3rd level - Intra-active system:
After a period of time, a natural evolutionary process takes place. The two departments begin to co-operate and finally co-ordinate their activities, toward client satisfaction. In other words, they begin to act as a team on a unified front. This geometry/system is referred to as an intra-active or team system.
4th level - Interactive system:
As the business grows, the need to further manage client relationships leads to the evolution of an interactive team management system, where information about all interactions with clients are viewed across departments, leading to a richer source of information for managing client relationships, as well as company-wide analysis, planning and budgeting. These are commonly referred to as Client Relationship Management (CRM) systems.
Top level - CMR (Client Managed Relationship) system:
However, the CRM system is only a transition towards the ‘optimum’ system - a CMR system - in which clients design their own products and manage their relationship with the company (probably web-based). This involves the use of a high-level system geometry. Insurance and finance products are just 2 examples of products that could be evolved to a CMR system, where the company offers a product, which is able to change it’s format at the client’s direction, ie. the product ‘intelligently’ negotiates different terms and conditions of the contract/product with each client (it’s not just a customisable product), then the client chooses how and when they interact with the company, ie communication methods, payment method and schedule.

The Structure that Controls Evolution
Willett discovered that, by combining the four basic codes, he could form a hierarchy of hybrid codes. This eventually formed a hierarchical template, which can be used to express the structure that controls all 'change of change' throughout the universe. The codes describe the phenomenon of evolution in terms of capability, i.e. evolution = the progressive change of capability. Willett noted that as you travel from the bottom to the top of the 'template', the behaviour of the geometries increase in capability, creativity, decision-making ability and intelligence. From this basic natural coding, all complexity and diversity seen in the universe can be derived. This is the key discovery on which the Unifying Theory of Entropy is based.

Historically, there are two clear parallels to this discovery. Mendeleev spent days "playing cards" on which were written key properties of the known elements (~60 at the time). Eventually a pattern emerged, that of periodicity. This periodicity later proved to reflect the fundamental structure of the atom and formed the precursor of quantum mechanics. Later Darwin accomplished a similar feat when he recognised the phenomenon of "evolution" as the process structure relating plants and animals in the living world. By recognising patterns in nature Darwin was able to synthesise an enormous amount of data into a cohesive theory.

Evolution has now proven to be a far more intricate and complex phenomenon than previously thought. Willett's structure, or template, is now known to comprise over 100 process geometries intricately related as derivatives of several prime elements of natural code. The phenomenon of "self-organisation" or evolution results from the gross behaviour of this structure. Using this template, we now have a clearer picture of how nature works to evolve the living universe that we see.

Since 1997, Willett has continued to refine the theory of processes and systems. In so doing the phenomenon of entropy was re-visited. Entropy is proving to be a phenomenon of far greater significance than previously thought. Willett made a further significant breakthrough - in understanding the role of entropy as the movement towards relative stability. Using this knowledge, combined with the coding of evolution, Willett has moved on to generate a new systems theory that embraces complex and diverse living and non-living systems, with universal applications. Willett has called his new systems theory 'The Unifying Theory of Entropy'

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The Concept of Entropy - through the ages

The word entropy is derived from the ancient Greeks meaning the "in turning or forward motion of the universe". The concept of forward motion causing change is fundamental to the understanding of entropy. Originally, entropy was not viewed as a measure of disorder in any particular system or the dispersion of energy but was more akin to a "life force" that moved the universe and those souls within it towards their ultimate destiny. One important aspect of the philosophy of the Stoics (Zeno, 334 - 262 BC) was their belief that a natural 'logos' (the happening and the reasoning) existed in the universe. This set the pattern for human behaviour and flowed through as a belief in "pre-destination". Events happen for a reason (good or bad) and there is no point struggling against the inevitable. Conformity with destiny was inevitable and the Stoics described this inevitability as fate. It has taken approximately two millennia for humankind to progress much beyond this point.

It can now be demonstrated that entropy is not simply expressed as predestination but rather follows an intricate and complex set of geometric forms (the logos) that comprise a spectrum of behaviour spanning what was previously viewed as a paradox of determinism and free-will. A new paradigm is required to describe the expression of entropy in nature. Until recently one factor was still missing in expositions of entropy in nature. What generated the "forward motion or life force" in the first place? Current views favour either the tendency to disorder or the dispersion of energy as the driver of change. Entropy is seen as the measure of this change.


Entropy re-defined

Willett departed from this thinking. He made a single assumption and explored the consequences. He assumed that the only pre-condition for creation was one of non-sustainable instability. From this precondition energy and matter could be created in the instance of the 'big bang", and instability (expressed as turbulence) would be alleviated by any mechanism of change that allowed a condition of relative stability to be attained. The template of evolution (developed by Graham Willett) has given us the geometries of those mechanisms. It was assumed by Willett that the "life force" would always move towards a state or condition of relative stability that resulted in benefits. Benefits could include profit, satisfaction, and relief to name just a few. This new and more stable domain would anchor the system and allow it to be repeated in the same or similar manner. The pathway that formed would be determined by the rules of process geometry and those rules were derived from Willett's template of evolution.

From here Willett began to build process systems from their component processes and to examine the balance and behaviour of individual systems, their aggregation into clusters and the further agglomeration of those clusters into "sloppy" formations that could give rise to "living" structures. Structures described by Willett as "living brains" can be simulated using this method with predicted behavioural patterns being akin to human thinking and creative activity.

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An Introduction to Processes and Systems Thinking
  • A series of related processes that form an integral operation (process system)
  • Pathways of change that link needs to benefits (moving from instability to relative stability)
How Change Occurs
According to Science, change is a unique phenomenon that sustains all existence. In nature (and business), it represents a constant push towards increased stability and benefits (eg. profit).
For change to take place, mechanisms are required to facilitate that change. These mechanisms are called processes. When processes are linked together, they form a pathway called a process system. At the front end of the process system is the need for benefits … and at the conclusion there are benefits (eg: profit). The need for benefits initiates the change and the realisation of benefits anchors the process system and allows it to be repeated. With each repetition, the system will tend to enhance its performance through experience/use, thus evolving superior benefits/results.
Systems not designed for performance and adaptation to change (ie. dynamic) become inflexible or static, and will fail.

Business Process Systems
Businesses consist of many process systems - sales, marketing, finance, manufacturing, distribution, research, customer service and information technology - to mention a few.
Your process systems are your unique way of doing business, manufacturing a product, delivering a product, etc - ie. what you do and how you do it.
Your business processes/process systems form part of your Intellectual Property (IP). Therefore, they should be understood, protected (a growing number of businesses are patenting their business process systems) and developed to their full potential. Your intellectual capital is an important business asset.
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The Unifying Theory of Entropy - A New Paradigm for Systems Thinking
From a knowledge of the geometry of processes and the rules controlling the action of processes (the basic natural codes that, when combined, form the structure that controls evolution), Willett was able to construct a new systems theory relevant to all living and non-living systems. An important part of the theory is a re-definition of entropy. The theory is called 'unifying' because it brings together and agrees with many major scientific theories, like a jigsaw where the 'big picture' is made up of many individual pieces. These other theories include Chaos Theory, Theory of Relativity and Complexity Theory, to name a few.

The Unifying Theory of Entropy allows complex systems to be analysed much more easily than by using traditional mathematics. Instead, the Theory uses a new paradigm based on geometries and their behaviour. Once understood, this new paradigm allows complex systems to be analysed much more quickly and effectively than by using other methods.

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Methodology
A methodology has been developed out of Graham Willett's Unifying Theory of Entropy, by Graham and Living Business Systems (Aust) Pty Ltd. The methodology can be used for the analysis and design of linear and non-linear systems, across a wide range of fields such as business, information technology, medical research, education, government policy and many others. The method of analysis has been filed for patent (AU Pat App # PS 1938, April 2002).

Living Business Systems intends to licence this methodology and the associated Intellectual Property to third parties for:

  • Application in business and management consulting, process improvement, re-structuring, mergers and acquisitions, development programs, product analysis, market behaviour
  • Human studies, social and psychological phenomenon, human performance
  • Policy development involving complex systems and their behaviour
  • Medical research including virology and immunology and systems that generate cancer and other complex diseases
  • Economics related to systems performance, system modelling
  • Computing - development of a systems-based computing platform (dubbed the 'Entropy computer' by Graham Willett) and software with the capability for decision-making, creativity and intelligence
  • Defence and security applications for planning and information processing

It is also the intention of Living Business Systems to encourage collaborative research into areas of national importance.

Keys steps in the Methodology

The Unifying Theory of Entropy describes the formation of a system from processes and the rules for systems to combine into arrays and clusters. For use in existing organisations, technologies, strategies etc. the method of analysis is based on mapping the component systems and their composite processes as flow charts.

The steps involved are:

1. Determine the "systems chain" that leads to the direct goal of the systems array

This is the core business of the organisation involved, what it delivers as a service or profit or outcome. This is the prime function of the organisation. The systems chain may appear as a linear or nonlinear array (including natural networks) of systems or any combination of these geometries that deliver the desired outcome.

2. Map out the systems comprising the "systems chain"

Once the systems chain is identified, subdivide the chain into component systems (key steps along the road to delivery and profits). Systems are linked through value-adding steps that are anchored when the desired outcome is achieved.

3. Re-design individual systems within the chain or alter the juxtaposition of systems within the chain

Once the key systems chain is understood, the problems experienced by the organisation will have apparent causes that can be eliminated by either re-designing or removing systems from the chain or by moving systems into a new configuration. The Living Business Systems' methodology describes the rules for doing this.

4. Map out the supporting systems that inhibit the progress of the systems chain

Where problems cannot be resolved within the systems chain then it becomes necessary to drill down through the supporting systems to locate the problem. Layer upon layer of systems support most system chains. The same rules apply to supporting systems as to the systems chain.

The Unifying Theory of Entropy allows complex systems to be analysed much more easily than by using traditional mathematics. Instead, the Theory uses a new paradigm based on geometries and their behaviour. Once understood, this new paradigm allows systems to be analysed much more quickly and effectively than using other methods.

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Applications

The Unifying Theory of Entropy can be applied to any systems analysis project. The Theory can also be used to create systems that exhibit specific behaviours including:

  • Smarter drugs and vaccines, based on a better understanding of virus/disease behaviour and evolution;
  • Anti-virus software for computers, which analyses the way viruses propagate and the system behaviour that is required to combat them;
  • Advanced government policy, designed for better outcomes in the community;
  • Crime prevention strategies, based on analysis of criminal behaviour/crime structures
  • Products and services, with specific behaviours in the marketplace

The theory can also be used to redesign systems already in use to alleviate problems in performance.

The 'Entropy Computer' is an application that is set to revolutionise the IT industry and accelerate new technology. This new computing platform will permit operations that are, at present, "unthinkable" on today's conventional computers, allowing for the development of software that is capable of creativity, independent thinking, decision-making and intelligence.

Unlike binary coding, the new system will use a new programming language, based on natural coding of processes, that will form a new operating system. The computer will have the capability of modelling the behaviour of living systems such as viruses, bacteria, animal and plant ecosystems as well as non-living systems such as financial markets, the Internet and new products.

'Example - Evolution of a System, using the Basic Codes and hybrid geomerties, for enhanced performance.'


Last updated on 6 September 2002