Notes
[Notebook NAKEDICAME, DB 53]
[Sunday 6 May 2001 - Saturday 12 May 2001]
[page 236]
Sunday 6 May 2001
Religion : open and closed systems. In fact openness and closure depend on stability. A completely stable system, immune to all forcing from outside, is effectively closed. Its interactions with the world are elastic, like a perfect ball bearing (and not one that slowly acquires 'defects' from the stresses of use). An open system responds to environmental inputs with adaptive change, changing its internal state to fit in with its surroundings [plastic].
This is not so clear: open/closed to matter/energy/information. Need to understand Nicolis and Prigogine better. Nicolis
GRACE, PEACE, TOLERANCE
True religion produces peace and tolerance, false the opposite. This is our definition. So does your mind-set produce peace or violence?
[page 237]
lubrication/tolerance
Perhaps we should build religion around the seven deadly sins, showing that they are all one sin, communication error.
The fundamental economic reality: PRODUCERS are CONSUMERS. This enables closure (and the establishment of an 'economic oscillator')
Or start a new section SIN, which can be the title of the book version.
the source of LUBRICATION is TOLERANCE
TOLERANCE - SECURITY.
Antonio Damasio: The Feeling of What Happens. Damasio. ie FEEDBACK (conscious and un ") CONTROL.
Although elements of a system have no stable state, by being combined into a control loop stability may be generated (as long as the loop has the bandwidth and power to achieve control)
[page 238]
Condition = need or want. Action can proceed when all conditions are met [virtually unconditioned]
HARDNESS - SOFTNESS. Energy scale 0 - 1. 1 = big bang (all the energy of the Universe in one particle ['initial singularity']. 0 = all the energy of the Universe in infinite particles = O(0) per particle.
FORM - IMAGE +{TRANSFORMS}
One form many images and vice-versa.
ACTIONS are the root of SURVIVAL. In fact the basic action (archetypal) is ROOTING.
Religion must be based on rooting, in all senses like planting a tree [deciding what to cultivate]
About/tnrp/rooting.
Conflict resolution a) communication in detail b) justice.
[page 239]
tolerance/headroom/bandwidth/error correction/truth.
Lubrication <--> tolerance (room to move)
The dream: a world of stable peace with all people following their dreams as far as is consistent with reality.
Symmetry (static)
In a general way a differential equation captures the form of a motion, the essence of the motion in a static picture.
It is the fundamental ? of a political system no matter what its citizens do in their own interests. I can steer their interests by reward, punishment and plain common sense.
Present democratic politics is strongly non-linear - a few votes can change the whole scene. Can we, need we, implement
[page 240]
a linear scheme where outcomes are directly linked to the weight of desire in the community.
transfinite network = a living line.
All communication is feedback used by individual systems to stabilize themselves (though sometimes becoming positive and leading to explosion.
102 Wittgenstein. Monk. say & show. Because mathematics is purely formal, it all sits here on the paper in symbols with no reference outside themselves (meaning), and so the marks on paper show the truth of what is happening (?)
Monday 7 May 2001
Tuesday 8 May 2001
Lonergan is a member of a long philosophical tradition (well established by the time of Plato) who used a theory of knowledge to establish a metaphysics and them applies the metaphysics to the problem of delineating the general features of the Universe. To seek, in other words, the meaning of life.
This picture dates from the days when many thinkers considered humanity absolutely unique among the creatures that populate the earth. Such thinkers went so far as to postulate a whole invisible realm of being called spirit to explain phenomena like the experience of being human.
This is not to say that they were wrong, but it does seem possible to improve their position with the application of a little modern know-how. Suggesting a route to such improvement is the purpose of this essay.
We turn the old idea on its head, and begin to study humanity as though it has grown from this world, and every
[page 242]
element of our nature has echoes in the nature of other creatures. We have all arrived at this point under the iron discipline of survival. We have all had three billion years experience at this task built into our genes.
The drive to survive begins at home, and so we can all be expected to put ourselves first when danger is near. Yet we do not always act in this way for we have learnt that communal cooperative action gives a better average change of survival than individual selfishness.
How do we balance self and community. How open should we be? My heart's desire is to express this problem in a form where De Maupertuis' principle of minimum action shows us how to optimize out interaction for minimum action (and presumably for maximum peace, the product we aim to produce).
NAKEDICAME ends here.
[Notebook TTC (The Theology Company), DB 54]
[page 3]
Wednesday 9 May 2001
Monk. Wittgenstein. Monk. Meaning of life. We take the meaning of life to spring from the unity of the Universe, meaning that one is intimately linked to the divine whole. It is hard (having been brought up on the Christian dream of a paternalistic god who will solve every problem and ultimately fill one with unspeakable happiness) to find that one must construct one's own happiness by interaction with the world.
Going round in circles as least indicates that one has come to a stable position, although as knowledge of something else, this position may not be true.
Starting the fire (with wet wood) seems to be a good model [parable]. There is potential energy there to drive a change of state if one can establish the conditions for a chain reaction ie go critical, get onto a positive feedback etc. One would eventually like top see natural religion
[page 4]
spread like wildfire, consuming all the contradictions that set us against one another and the world. There is energy in contradiction (so does conservation of energy mean conservation of contradiction?)
The hardest part of this job is getting from a suggestive mathematical model (TN) to everyday life, although the whole thing feels good, and my strategy at the moment of moving from commercial to academic, in order to raise the funds to employ a mathematician and a physicist to study these flanks. Transfinite Network. Meanwhile things remain Do It Yourself, and I think that writing and propagating as much as possible, in the hope of some phrase catching some eye. Ie raising the probability of interaction by increasing the output of the source.
DYNAMIC SYMMETRY - TURING
The transfinite tree.
DYNAMICS - FROM a TREE to a GRAPH. This shows how trees can transform into
[page 5]
one another. Each moment of the proper time of the Universe is a tranfinite transition. The transformation of one tranfinite transition into the next is the subject of dynamics, that is of one moment into the next, at each point in the Cantor Universe.
[Diagrams - binary trees]
Binary trees can be fitted together to give composite binary trees. One can reach any leaf in the composite through a string of binary choices.
Any leaf may itself be a binary tree, and any tree may be considered to be a leaf.
How do trees interface with one another? Roots with the soil. [Fibres penetrating a 3D continuum - the vacuum]
[page 6]
[Diagram - past and future trees]
The bandwidth [of the passage from past to future] ℵ0 is constant from end to end. Moving from one point to another means moving along the line. As the complexity of the structure increases, the ratio of active to stable leaves drops as 1/aleph(n), since a bandwidth of ℵ0 is available to process ℵ1, ℵ2 . . . leaves per time interval.
Thursday 10 May 2001
Friday 11 May 2001
Saturday 12 May 2001
Although we have had great success with modelling the world with formal systems, reality is not formal, but dynamic. The formal version simply describes constants of the motion. Formalism may be thought of as entering the transfinite
[page 7]
tree from above and descending as 'close' to the level of change as possible. Compare Misner Thorne and Wheeler's image of triangulating space. Misner 304 sqq. We use the triangulation as a means of describing the space (and hence describing changes in the space).
How does this tie in with differential equations? Each differentiation takes polynomials closer to a constant. n differentiations reduce axn to an! n integrations bring it back to a polynomial axn + . + . . . . The constants remove the uncertainty in the integration, picking particular polynomial solutions.
ROOTLET <-> LEAF VIA trunk.
We trace the flow of sap as we trace the flow of logic. Each atom of sap goes from a particular rootlet to a particular leaf, we assume without loss ie we ignore the metabolism of the taproots, trunk and branches to concentrate
[page 8]
on the extremities
MODEL = PROGRAM = {SENTENCE}
subject - verb - object
address - action - address
eg root a permutes with leaf b.
First job in physics - map quantum computation onto transfinite network.
How quantum computation runs the world.
Drop natural, since everything is natural, and place the action in the scientific zone by using theology as the name of the enterprise.
A Model of God NATURE
It is clear that the Universe comprises a vast number of particles which may combine in an infinitely greater number of permutations.
[page 9]
Consistent with permissible usage, we use the word 'god' as shorthand for the whole of reality. The study if god is traditionally theology. On the assumption that the visible Universe is a manifestation of god, we might say that physics is the study of god's body.
Here we want to examine the rate of quantum computation in the execution of divine existence [actus purus]
Each essay is like an attack, capturing a new bit of territory and bringing a period of consolidation before the nest attempt to move forward.
Our model is constructed using set theory. CANTOR Image - tree. Static addressing. Now dynamics. Finally physics. Unitary transformation.
Complex numbers encapsulate negative feedback, so that ei theta does not grow exponentially, but oscillates in
[page 10]
two dimension, eg cos theta and i sin theta. Is dot product zero?
How do we map Hilbert space onto transfinite network? If every point has a unique name in each of the spaces, a function f(Hilbert) = TN must exist.
TN is a picture of the wave function of the Universe (surely I have written this before).
Unreachably trapped in a primitive world? No, the new world must work before it will attract careful people (but open minded)
Pitch to careful open minded human.
Two situations : a) event occurs before it has been imagined - unplanned; or b) after, planned.
[page 11]
Dynamics - NETWORK = {tree}, ie a superposition of trees, each leaf being also a root.
LAYERS and PEERS. Superposition above is a superposition of peers.
[diagram - addressing a leaf in a binary tree]
Most IP addresses are 32 bit, expanding to 128. TN has countable addresses to countable processes - TRUING MACHINES
LAYERS -> RELATIVE COUNTABILITY
Tech pages: Network; TN; TreeBinary, TreeTransfinite
[page 12]
light blue/grey paper
NT grays and blues. Blue-black writing.
Wittgenstein 243. Monk.
Vienna Circle = NETWORK [group]
Tree is a line. Network is isomorphic to a circle.
[Diagram: material and spiritual input to the present spacetime point]
Relativity: the life of a spacetime point in dialogue with the whole.
Travel through a manifold is isomorphic to travel through a network.
Axioms of flat space create a world of curved space by their interactions..
The big question is finding language and imagery.
[page 13]
The TN represents all consistent formal structure. From among it we can pick subsets with certain properties, seeking all the while a subset whose properties map one-one onto our experience of the world. How I feel is what it is to me. This is a dynamic balance between internal state and external forcing.
A closed system cannot be forced. An open system can. God is closed (from our POV) so there is nothing we can do about him (it) We are open, however and so must submit (and adapt) to whatever comes our way. [but our movements are the movements of god]
. . . One cannot in reality separate ideas from passion. Passion is the dissipative structure that generates ideas.
So forty years in the desert is a good number, but it is time to come out rough as I may be, to blow off the head of steam I have built up over that period trying to reconcile the unity and diversity of the world
[page 14]
RELIGIOUS ERRORS: DETERMINISTIC vs NON-DETERMINISTIC.
The white noise world is in equilibrium with the vacuum. Let us assume that the vacuum state is perfectly flat across all ℵ0 frequencies. The linear foundation of the world (reflected in QM).
Maximizing linearity minimizes control effort but non-linearity (positive feedback, exponential growth) is inevitable. Why?
DE's are the answer. .
Mathematics admits of assumptions and deals with what is possible (consistent) while logic deals with what is necessary. Monk 245.
Make ends meet = go circular = survive. Survival is 'linear'; reproduction non-linear.
[page 15]
247 'The philosopher is not a citizen of any community of ideas. That is what makes him a philosopher' LW
The binary tree leads directly from ℵ0 to ℵ1 since a tree with ℵ0 layers has ℵ1 leaves. The tree implements the transfinite transformation. This is something I always wanted to say.
A TTree is a tree made out of binary trees.
250 'Intuitionism is all bosh - entirely'
get: Lectures on the foundations of mathematics; Philosophical Investigations.
