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Notes

[Notebook Turkey, DB 55]

[Sunday 3 February 2002 - Saturday 9 February 2002]

[page 37]

Sunday 3 February 2002

Fatal violence between people then has some sort of corporate source, most obvious in war, where individuals unknown to each other try to kill one another on behalf of opposing corporations. Onespecies' [cyberalms] strongest feature is that it undercuts all corporate systems and is a direct relationship between individuals via the cash pool.

Tuesday 5 February 2002

Hilbert space can be complete even if there are discontinuities in functions, ie if we have continuous functions not defined for integers in their range? Must learn more here. The important issue from the point of view of proving the divinity of the Universe is the entanglement of Hilbert spaces, perhaps. All very vague, but the most amazing thing from my point of view is that the original concept of using the transfinite cardinal and ordinal numbers to make a model of god still rings true, and it is somehow that the space is normed that allows us to deal with its discontinuities. Am I mentally energetic enough at this age to do a physics degree and achieve my academic goals by that route: another seven years which will take me

[page 38]

through to retirement? The investigation now becomes a study of the 'wave function of the Universe' and from this as a first achievement to extract the general theory of relativity and the 'generalized geodesic' as the path through life of all organisms, regardless of complexity. We struggle ahead hanging on by fingernails and skins of teeth.

What is discrete in the Hilbert space are the dimensions. By introducing a metric on the number line we move from natural to rational to real numbers. We move from countable dimensions to continuous functions via the norm which is defined by Pythagoras.

In Hilbert space, the norm assures us that most of the functions converge? In quantum mechanics the Hilbert space represents possibilities and the projection of a vector onto a basis vector, the probability that the state represented by the basis vector will be realized.

The first target it to learn how to represent life in a suitable space and calculate a Lagrangian that will show us how to optimize the relationship between 'matter' and 'spirit'. [with this done, we will be able to discuss the idea that 'wilderness' is the closest the system driven by the sun can come to peaceful equilibrium]

What we are trying to optimize are (among other things) individual human and corporate human speech and action. We may think of human output as a many to one mapping from human internal states to physical states in the world. These mappings are constrained by their purpose, which is survival and joy, achieved by the fulfillment of needs and desires. Each sentence or action may be considered as a point or vector in a suitable (transfinite Hilbert(?)) space and the decision to act the projection of the space of possible actions onto a vector representing a particular action. Although this seems to be an extraordinarily complex way to approach things, the simplifications made possible by the ordered structure of the world make it easy for us to comprehend and guide at least our simpler activities (like reproducing and doing the dishes). The purpose of the theoretical model is to enable us to extrapolate from simple individual activities to the complex community activities that determine whether we live in states of war or peace, wealth or poverty, health or disease,

[page 39]

happiness or sadness, etc etc.

A fundamentalist belief: that some people (them) are inherently evil. The adaptive counterpart of this is that people respond to the pressures placed upon them and that if they are denied all their needs to the point of starvation, then fatal 'terrorist' activity on the part of the few for the good of the whole ('terrorism' or 'noble sacrifice' depending on p.o.v) becomes inevitable.

In Quantum mechanics, we speak of preparation and measurement, ie the input to an event and the outcome of the event. The uncertainty principle suggests that there is no one-to-one correspondence between particular preparations and particular outcomes. On the other hand, a particular preparation leads to a spectrum of outcomes with a certain probability density, and this is the quantum mechanical version of causality. All the information about the probability outcomes is contained in the wave function. We want to extend this formalism to political systems and to solve the inverse problem: given certain outcomes, war, peace etc, what sort of 'preparation' increases the probability of the chosen outcomes. In quantum mechanics the Lagrangian gives us the broadest characterization of the wave functions applicable in various situations. Hence the desire, mentioned above, to develop a Lagrangian approach to human dynamics as studied in theology, religion, politics and economics. The Lagrangian is defined by the relationship between potential and kinetic energy, which in the transfinite net are modelled as the more or less complex layers of the network. Minimizing (maximizing) the Lagrangian is thus to be achieved by optimizing the layering of the network.

Wednesday 6 February 2002

Physical theology is rooted in Landauer's conjecture that all information is transmitted physically, so that all flows of culture, intelligence and communication must be accompanied by physical flows. This is some sort of gauge condition, and is a basis for providing a measure of communication, so that we can place communication in a normed or metric space. The measure is entropy. How do we compute the entropy of a Hilbert space? Of a product of Hilbert spaces?

Here we might find the key justification for the onespecies 'quick fix'.

[page 40]

Onespecies scale of operation: 1% of global GNP through approximately 10E9 accounts. Global GNP say $US 10E13 pa, so we are looking at $10E11 pa total, ie $E2 per person, and we want to limit costs to say 3% (allowing us to cover them by short term money market operations) ie $3 per account per year (for 100 transactions assuming a weekly turnaround) ie 3 cents per transaction. Floor transaction 10c.

Banking Law Association: is there a world banking summit organization?

Eventually scale up to 10% of GNP, or allow say 6 schemes, 1%, 2%, 5%, 10%, 20%, 50%. This unfortunately increases the scope for fraud, or does it? If I say I am a 50% customer but only contribute 1%, am I ripping the system off as badly as 1% user who pays 1/50%?

Data needed: global per capita income distribution. Link on onespecies. org.

Left and right in politics are trying to approximate to the minimum Lagrangian, the left favouring consumption over capital accumulation, the right capital accumulation over consumption; this is not a good characterization: left aims to spread wealth, right to concentrate it. Need more work here but maybe general concept is helpful. Political left and right are very general characterizations (since there are only two of them to cover the whole spectrum). We can break down their digital nature, however, by parametrizing the space between them but the political spectrum is obviously multidimensional rather than linear, and L - R is just a projection of it.

Aim of onespecies is to share the headroom; but it may not work because most people's lives are already clipped and to they have nothing to give. This is partly a matter of standards. Even the middle class in the wealthier countries want to spend more on cars, boats, televisions, etc etc. It is a religious matter to standardize our expectations and to equalize the distribution of wealth.

Entanglement: There is of necessarily one to one correspondence between the words of two sentences in two different languages that

[page 41]

mean the same thing. This is why machine translation is so difficult.

We might compare quantum measurement to scoring goals ion a football match. The 'wave function' measures which team is better, and this may or may not show in the goal scoring, depending on the run (or luck) of the game.

We say mathematics is a language, or the shell of all languages, where we take a language to be a scheme for mapping one structure into another, eg one's feelings into strings of sounds and actions which we may call an expression. Quantum mechanics provides is with a scheme for mapping inputs (preparations) into outputs (measurements). Just as a given feeling may find an infinity of expressions so a given state may lead to an infinity of measurements, which are nevertheless constrained by that state as linguistic expression is constrained by feeling. The feeling, we may say, is a superposition of all its linguistic expressions which form a quasi orthonormal basis for the feeling, which may be projected onto a particular element of its basis.

Each particle in the Universe may be conceived as a 'feeling' in the Universe which occasionally expressed itself by emitting other particle(s). What we are doing with these words is trying to express the formal mathematical expression of quantum mechanics in English. It is traditional to try to translate quantum mechanics into English by contrasting it with Newtonian mechanics and our intuitive understanding of games like football and snooker etc which involve hitting balls with various properties around in 2D or 3D space and trying to engineer controlled collisions. Rather than take this approach, we may express quantum mechanics in a metalinguistic way by comparing it, as we do here, to our intuitive understanding of the functioning of natural language.

Thursday 7 February 2002

To Banks: we want to use spare cycles on your machinery.

Map Hilbert space into transfinite network.

[page 42]

Error correction in a game. The punishment must fit the crime so that there is no advantage and preferably a strong disadvantage arises from going outside the rules, the size of the penalty depending on the distance from the rules giving us an harmonic or higher order oscillator. "Goodness" is thus constrained by a potential.

IF the Universe is mathematics incarnate, then all POTENTIALS arise from mathematical potentials. Senegal vs Nigeria, Africa Cup, semi-finals.

Let us apply Lagrangian to soccer game as a preliminary to designing a winning robosoccer team.

Spotted the dangers early: requires a knowledge of what a danger looks like. Senegal into the final.

The network approach is the linguistic approach. Each language is a protocol at a particular layer and each culture is a protocol on all human layers rooted in physical interactions, whose extremes are reproduction (love) and murder (hate).

Although the rules and penalty system may be perfectly just on the average, there are occasions when it is more beneficial to obey the rules and others when it pays to break them even if (in a perfectly observed system) one is bound to be caught. This introduces 'metacompetition' that is second and higher order takes on the actual physical outcome, as in quantum electrodynamics.

In football, the ball is the photon, the players massive particles, (electrons).

[page 43]

The movie is a reversible representation of an irreversible process.

We can maybe demonstrate something about wave functions with football statistics. Goals are the measurements. Possession is a basis for goals, etc etc.

You children have suffered much less arbitrary and violent authority than me.

Natural theology is the story of a personal saga with the RCC. Physical theology bypasses the personal element.

Friday 8 February 2002

Entanglement: bricks are independent until they are laid and entangled, as words are independent (in a dictionary) until they are placed in a sentence, where the meaning is no longer localized on one word but in the whole sentence, which is a point in a space which is in some way a product of the word spaces that go to make it up. Can we parallel this in Hilbert spaces?

Saturday 9 February 2002

A key feature of onespecies is to penetrate the corporate veil and enable person to person communication not just of words, but of value. People as loving individuals are totally transformed when they become part of a corporation which takes over their minds and hearts by creating an inhuman environment which they are forced to adapt to or die. Thus in the army after a period of training (= brutalization) one is sent into battle with the option of killing the enemy or being killed by 'friendly forces' if one tries to opt out. Less intense forces make freshly purchased football players give their best efforts for their new team. Employees of police forces are also often inducted into a culture of inhumanity. We want to get behind all this, first by creating a

[page 44]

facility and secondly by establishing a moral climate promoting use of this facility to transfer information and value.

Security can be based on eye recognition technology. The basic unit must be some sort of ATM, and people may arrange for periodic payments to be made. Collect a database of philanthropic institutions, say 200: Bill and Melinda Gates, Templeton, Commbank, World Bank, NAB etc.

The cultural problem is a) to lead the rich to contribute and b) to lead the poor to use their income wisely.

Under pressure from church and state Margaret (Windsor, deceased) chose to remain a princess.

We are all locked into a framework which can be both expansive and compressive. Here we wish to enable those who are expanding to assist those who are under compression. See the general picture in thermodynamic terms.

Mali deserved an equalizer [against Nigeria, Africa Cup but it did not come, ie it was in the wave function but did not realize.

Entanglement/transfinite transition: it is a new ball game at the next level of complexity, but nevertheless there are symmetries reflecting the less complex levels, eg all these sentences are made out of the same set of about 10E5 English words, despite their differences. And similar sentences appear in many paragraphs as we circle around the central ideas trying to find the points of accumulation = stability = computable numbers.

[page 45]

What magicians hope to do by magic and Christians by miracles, engineers do by technology, taking care of every little physical detail necessary (eg) to see and hear at a great distance, to act at a distance, to prevent death in the case of severe injury and disease etc. What engineers know is that many parts of the word (and hence god) do not hear human language, no matter how many toads or sheep die in the course of the speech, but they do hear their own language which lies in the logical deployment of resources like switches, stitches, antibiotics and electromagnetic waves (photons).

Related sites

Concordat Watch

Revealing Vatican attempts to propagate its religion by international treaty


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Further reading

Books

Click on the "Amazon" link to see details of a book (and possibly buy it!)

Sacks, Oliver, Seeing Voices: A Journey into the world of the Deaf, University of California Press 1989 Jacket: '... begins with a history of deaf people in the United States, the often outrageous ways in which they have been treated in the past, and their continuing struggle for acceptance in the hearing world. And it examines the amazing and beautiful visual language of the deaf - Sign - which has only in the past decade been recognised fully as a language - linguistically complete, rich and as expressive as any spoken language. ...' 
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Sacks, Oliver, Migraine: Understanding a Common Disorder, University of California Press 1985 Amazon book description: 'The many manifestations of migraine can vary dramatically from one patient to another, even within the same patient at different times. Among the most compelling and perplexing of these symptoms are the strange visual hallucinations and distortions of space, time, and body image which migraineurs sometimes experience. Portrayals of these uncanny states have found their way into many works of art, from the heavenly visions of Hildegard von Bingen to Alice in Wonderland. Dr. Oliver Sacks argues that migraine cannot be understood simply as an illness, but must be viewed as a complex condition with a unique role to play in each individual's life.' 
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Sacks, Oliver, An Anthropologist on Mars: Seven Paradoxical Tales, Vintage 1996 Jacket: 'Sacks is a sympathetic clinician who uses his patients' problems as a launch pad for wider speculations about the nature of the mind ... Sacks' descriptions of cases are both medical and literary. He writes with a moving directness and simplicity, his obvious sympathy acquitting him of any charge that he might be exploiting the misfortunes of others ... The final effect is wonder at the infinite variety of the human mind and experience.' The Times 
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Sacks, Oliver, and Musicophilia: Tales of Music and the Brain, , Knopf978-1400040810 2007 Jacket: 'Oliver Sacks' compassionate, compelling tales of people struggling to adapt to different neurological conditions have fundamentally changed the way we think about our own brains. and the human experience. In Musicophilia he examines the powers of music through the individual experiences of patients, musicians and everyday people - from a man who is struck by lightning and suddenly inspired to become a pianist at the age of forty-two, to an entire group of children with Williams syndrome who are hypermusical from birth.' 
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Veltman, Martinus, Diagrammatica: The Path to the Feynman Rules, Cambridge University Press 1994 Jacket: 'This book provides an easily accessible introduction to quantum field theory via Feynman rules and calculations in particle physics. The aim is to make clear what the physical foundations of present-day field theory are, to clarify the physical content of Feynman rules, and to outline their domain of applicability. ... The book includes valuable appendices that review some essential mathematics, including complex spaces, matrices, the CBH equation, traces and dimensional regularization. ...' 
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Waugh, Evelyn, The Life of the Right Reverend Ronald Knox Fellow of Trinity College, Oxford and Protonotary Apostolic to His Holiness Pope Pius XII, Chapman & Hall 1959 Preface: 'This book, I surmise, will prove to be the forerunner of many weightier studies of [Ronald Knox]. Its primary puspose is to tell the story of his exterior life, not to give a conspectus of his thought; still less to measure his spiritual achievements. His published works provide abundant material for research and criticism by specialists in many subjects. Here I have attempted to give the essential biolgraphical facts that they will need.' 
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Papers
Chaitin, Gregory J, "Randomness and Mathematical Proof", Scientific American, 232, 5, May 1975, page 47-52. 'Although randomness can be precisely defined and can even be measured, a given number cannot be proved random. This enigma establishes a limit in what is possible in mathematics'. back
Einstein, Albert, B. Podolsky, and N. Rosen,, "Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?", Phys. Rev., 47, , 1935, page 777-780. Abstract: 'In a complete theory there is an element corresponding to each element of reality. A sufficient condition for the reality of a physical quantity is the possibility of predicting it with certainty, without disturbing the system. In quantum mechanics in the case of two physical quantities described by non-commuting operators, the knowledge of one precludes the knowledge of the oher. Then either (1) the description of reality given by the wave function is not complete or (2) these two quantities cannot have simultaneous reality. Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that has previously interacted with it leads to the reasult that if (1) is false then (2) is also false. One thus is led to conclude that the description of reality as given by a wave function is not complete.'. back
Herzfeld, Charles, "How the gent has changed", Nature, 451, 7177, 24 January 2008, page 403-404. 'As the US military research arm turns fifty -- and other branches of government seek to adopt its famously nimble approach -- a former director reflects on wht worked and what didn't.'. back
Nature editorial, , "A little less Disneyland: DARPA should focus on its founding values", Nature, 451, 7177, 24 January 2008, page 374. 'Today some of DARPA's activities remain firmly rooted in its cold-war research past . . . But, as was on show in a California Disneyland hotel last year, the agency's director, Anthony Tether, has also tried jazzing things up a bit, by sponsoring cmpetitions such as the $2-million 'grand chaenge' robot car race. . . . Such approaches may be useful in helping the government think outside the box, but DARPA must be careful not to stray too far down that path. . . . The agency's next director must take the agency back to basics, or risk losing the edge that comes from the inspired patronage of risky research. Above all, DARPA needs to concentrate more on projects that could lead to long-term payoffs in the fight against terrorism, in ways we cannot yet imagine.'. back
Weinberger, Sharon, "Still in the lead?", Nature, 451, 7177, 24 January 2008, page 390-393. 'Half a century after its creation, the Pentagon's Defense Advanced Research Projects Agency is considered a paragon of government innovation. But some question whether it is still relevant.'. back
Links
Gram-Schmidt process - Wikipedia Gram-Schmidt process - Wikipedia, the free encyclopedia 'In mathematics, particularly linear algebra and numerical analysis, the Gram–Schmidt process is a method for orthogonalizing a set of vectors in an inner product space, most commonly the Euclidean space Rn. The Gram–Schmidt process takes a finite, linearly independent set S = \{v1, …, vn\} and generates an orthogonal set S' = \{u1, …, un\} that spans the same subspace as S. The method is named for Jørgen Pedersen Gram and Erhard Schmidt but it appeared earlier in the work of Laplace and Cauchy. ' back
S Matrix - Wikipedia S Matrix - Wikipedia, the free encyclopedia 'In physics, the Scattering matrix (S-matrix) relates the initial state and the final state for an interaction of particles. It is used in quantum mechanics, scattering theory and quantum field theory.' back
Self-adjoint operator Self-adjoint operator 'In mathematics, on a finite-dimensional inner product space, a self-adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose. By the finite-dimensional spectral theorem such operators have an orthonormal basis in which the operator can be represented as a diagonal matrix with entries in the real numbers. In this article, we consider generalizations of this concept to operators on Hilbert spaces of arbitrary dimension' back
Theological Studies Theological Studies Inc, a Jesuit-sponsored jurnal of Theology Theological Studies is a quarterly journal of theology, published under the auspices of the Jesuits in the USA. Located at Marquette University, in Milwaukee, Wisconsin, it is under the general editorship of David G. Schultenover, SJ, in concert with its editorial consultants: back

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