vol VII: Notes
2012
Notes
[Sunday 27 May 2012 - Saturday 2 June 2012]
[Notebook: DB 71 Israel]
Sunday 27 May 2012
What drives me : possibilities, that is products of imagination created by the combination and permutation of Turing machines.TURING MACHINES are the ATOMS of the UNIVERSE
ie COMPUTERS
Marriage: constraint, control, binding. The beginning and end of an act of control is binding and unbinding, marriage and divorce. Varieties of marital experience.
Long life of the proton means stable error free process.
Most of physics is about fields in 3 and 4 d space, a purely mathematical concept. The field predicts what will
[page 174]
happen at each point in space as a vector of the limiting probabilities given enough trials (law of large numbers).
Maxwell's equations represent [fixed] points in the dynamics of the electromagnetic field, ie the time evolution of the field which occurs mathematically at constant entropy.
Because in electrostatics the curl of E is always zero, it can be represented as the gradient of a scalar field : a correspondence between mathematical formalism and observed reality.
When we observe E we always get the ∇ × E = 0
Electrodynamics is about flows of current in 4-space, like gravity, but whereas in gravitation interactions only imlement addition and substraction, electrodynamics embodies the interaction of charged particles in a background space created by gravitation.
So we say gravitation is a network that constrains 4-space.
Feynman II 15-7 'a real field is a mathematical function we use to avoid the idea of action at a distance [because it is illogical? meaningless?]. Feynman
Any computational model must mimic Maxwell's equations.
'A "real" field is then a set of numbers that we specify in such a way that what happens at a point depends only on the numbers at that point.'What we are looking for are means of win-win control
[page 175]
which in physics is equivalent to bonds that reduce energy. Since entropy is coupled to energy by 'temperature', we imagine bonding to be an event that allows 'two to live as cheaply as one' by making the processing more efficient, ie algorithm improvement.Communication = copying = sharing = reducing the necessity for search by making things more deterministic.
The bootstrap : increasing resolution + permutation increases resolution, ie entropy. More processing power, more headroom, less error. Error rate decreases exponentially as processing investment increases linearly, as seen in the position significant systems of representing numbers (individuals).
An idea whose time is coming -- the infrastructure must be there first, the intellectual hardware.
Monday 28 May 2012
Rain, and so back to transcribing the notes, collecting material for 'is theology a science', corresponding to I, 1. Aquinas 1
For the ancients and medievals, science began in the mind with first principles held to be irrefutably obvious ('per se nota'). The mind was tacitly held to be trustworthy because it was created by God specifically so that God could be known, admired and loved by other beings, angels and us. Baltimore Catechism
The Fall was logically required. I was once a Catholic but
[page 176]
now see the Catholic dramas as simply a historical stage in human scientific and political development standing in serious need of revision.
SIN and ERROR Why the Fall? Eureka Street, the problem of evil.
If somebody dies, sickens or get hurt, somebody is responsible and payback is necessary.
The evolution from stick to carrot. Hebrews illustrated the old way. Every time they disobeyed God they were punished.
Error is defined by the system, in our case the Bill of Rights.
Each essay is a cross section of the network of ideas.
Personality: of this happens, the system will respond like this. This definition applies at all levels of complexity from atoms to nations and beyond.
Feynman's electrodynamic sandbox can represent EM behaviour using many different mathematical formalisms that all come down to the same thing.
VECTOR (now) = FORM (then) = ordered set of symbols.
SCIENCE = CORRESPONDENCE
[page 177]
Tuesday 29 May 2012
A key question. What is the relationship between logical space and physical space?
How do we get from Trinity to 4D. The spatial dimensions are degees of freedom, but the time dimension is not. We can reduce space to time , and the three orthogonal dimensions of space are constrained by being built of the same time. MTW decided to do everything in centimetres. The world does everything in seconds. We go action, energy (time>-1, ? (space-1 = ? = momentum.
Why three space? The wiring theorem. It is the simplest space in which all points can be connected in pairs and the wires need not cross.
We have to think of the bootstrap definition begets definition by combination. ) and 1 represent two states, 00, 01, 10, 11 represent four.
The network non interference theorem implies a) time division multiplexing, or, if we are to have memory, 3D space, since we conceive of a memory as a durable binding between to entities, my memory of you.
Schadenfreude Schadenfreude - Wikipedia
To transform like a four vector is to be immune to rotation, ie rotation means nothing to a four vector.
3 space is demanded by general covariance, since general covariance means every pairing of symbols is equivalent, that is any reference
[page 178]
frame will do as long as the transformation between frames are continuous and differentiable, ie carry no information (?) since no distinct symbols.
God is a logical (thinking) being and for the ancients the spatially extended Universe was not. Now we know that space and time are ways of producing distinct entities ('points' in space-time) which are the essential foundation of logic which is the combination of distinct entities by certain rules or algorithms.
My mind moves slowly, as in a viscous fog. To both
Universe = {all events}
Wednesday 30 May 2012
As I get older I begin to see that my time is running out and I do not want the divine Universe to die with me, which means (given that I will get to 100) that I have only about 33 years left to perfect and propagate the idea. Whether I will achieve this is somewhat in the hands of fate, but I hope that any failure will not be for want of trying. I have two routes to success, one by convincing the scientific community by argument based on evidence satisfactory to them and the other by convincing the community at large by my own conviction and propaganda. The scientific route remains surer and more ethical, and so I push on with that.
Feynman II 42-1-: Gravitation is a 'time field'. This suggests that gravitation is prior to space, that is the hardware of space in a Universe where time is of the essence. How do we fit
[page 179]
this into the layered network. The old mind groans.
1. Clocks run faster in lower gravitational potential proved from principle of equivalence. Clock stops in infinite potential, the velocity of light.
2. There is a 'radius excess' (surface deficit) in a sphere proportional to the contained mass. So maybe an infinite mass has no surface (like the Universe).
All of physics comes down to relatively simple numerical equations, that is the equivalence of counts of some units (which may be characterized as energy, electric field, etc). In continuous mathematics and calculus these counts are often assumed infinitesimal quantities, but in the real world we find all observables are quantized and we can count the physical quanta, ie work out the number of events of magnitude h
This takes care of counting and differentiation in size. But what about differentiation in behaviour of distinct entities such as electrons and protons?
Feynman II 41-12: 'The next great era of awakening of human intellect may well produce a method of understanding the qualitative content of equations. Today we cannot. Today we cannot se that the water flow equations contain such things as the barber pole structure of turbulence that one sees between rotating cylinders. Today we cannot see whether Schroedinger's equation contains frogs, musical composers or mortality -- or whether it does not. We cannot say whether something beyond it like God is needed or not and so we can all hold strong opinions either way.
The power is off so I am nurturing a little fire with doses of blown oxygen to make some coffee.[page 180]
The numbers in physics only make sense within some formal structure, as the numbers in accounting inventory are an abstract representation of the state of the warehouses, factories, employees and all the other facets of a business that feed into the bottom line, the numerical measure of the rate at which the enterprise is producing the output for which it was designed. The theory of computation and communication has broadened mathematics from simple local arithmetic to a means of talking about the whole Universe. Quality comes from the logical process, an egg acts differently from an electron because it has a different 'personality'. By their actions you shall know them. What does it do? How?
Mass is a scalar, a simple count of some quanta (artificial, like grams) or real (like protons). Then we come to vectors, which are more complex, requiring three (or four) 'unit vectors) and three or four scalar coefficients to represent a single vector. We then add, multiply and do other arithmetic operations with the coefficients in a manner defined by the vector operation in hand like sum, difference, scaling, dot product, cross product and so on. We can establish various functions of the coefficient which re invariant under certain vector operations, that is invariant under (continuous) transformations, and so expressing the nature of some underlying reality independently of any frame of reference: Einstein: running along beside the photon. (ref?)
We build houses to isolate ourselves rom natural conditions like wind, rain, heat and cold, other people and so on. So we describe the advent of energy as an operation, not, which is in a sense free standing as is the foundation of dynamics. Things change by becoming not what they are now.
[page 181]
In a binary system the not operation is closes in the sense that not not-p = p, but in the wider world it is not so, since not me can be any one of 7 billion other people. On the other hand it might mean not me = Universe - me. Not not me = me. So we imagine the first dynamic to be the process p, not-p, p, not-p. Since both p and not-p are actual they can in effect differentiate orthogonally to (independently of) one another, so making a foursome, and there is no reason why this process should ever stop.
Lonergan's 'schemes of recurrence' are in effect built on computable functions.
Gaussian curvature computed from distances measured in the space.
Equations of physics are continuous and do not allow for events. The best we do is produce continuous approximations to the probabilities of events.
Feynman II 19-5: Hoe does nature implement the variational principle? Path integral method.
page 20-9: 'I have no picture of this electromagnetic field that is in any sense accurate. I have known about the electromagnetic field for a long time . . . and I have more than 25 years experience thinking about these wiggling waves .. . I'll tell you what I see. . . . I cannot make a picture that is even nearly like the true waves, If you have some difficulty in making such a
[page 182]
picture you should not be worried that your difficulties are unusual.
'Our science makes terrific demands on the imagination. The degree of imagination that is required is much more extreme than that required for some of the ancient ideas. The modern ideas are much harder to imagine. We use a lot of tools, though. We use mathematical equations and rules, and we make a lot of pictures.
The mathematics points to the mechanism lying behind the spatially distributed measurements that we make.
The use of tensors in gravitational theory is intended to implement the principle of general covariance by making the theory frame independent, so that any Gaussian coordinate system will do as long as the transformations of one system into another are continuous and differentiable. [this is a strong constraint. Ashby: Cybernetics] The system would seem to be a lot simple from the network point of view because a network is self explanatory, it is its own frame of reference. Our big problem is how to introduce 4D space and the metric into a network. My current idea is that we are talking about a pure energy network, like an electrical transmission and distribution network which distributes quanta of action as a certain time rate (energy) over a network where the wires need not cross (3D). But how to get from this simple model to Einstein? We look for clues in holographic theory and the notion of gravitation as an entropic force. Thanu Padmanabhan
We develop the theory of gravitation in a continuous differentiable manifold that is a set of points placed into correspondence with numbers. [this is ordering rather than measuring] Since continua carry no information, we should not be deluded
[page 183]
by the presence of numbers to think that gravitation represents any structure at all except insofar as it leads to singularities and discontinuities.
Thursday 31 May 2012
The job ('my life's work') is to produce an understanding of the world that is consistent with the assertion 'the Universe is divine'. I spend a lot of time on physics because this is where the fundamental objection comes from: 'the physical world is incompatible with the nature of divinity, proved by ancient arguments summarized by Aquinas.
In our favour:
1. Quantum mechanics describes a reversible perpetual motion machine.
2. The Universe is a logical communication system, since it is both consistent and quantized.
3. Occam's Razor (?)
4. Discrete logic may explain creation, bonding and complexification via the theory of evolution -- genotype feeds on phenotype and vice versa.
Feynman I 7=10 'No machinery has been invented that "explains" gravity without also predicting some other phenomenon that does not exist.
Physics is all arithmetic and we know how to go from logic to arithmetic given logical algorithms that compute the results of various arithmetic combinations of numbers represented in binary notation.
Always seem to be skimming along the surface without getting the teeth into the problem. Only one answer, persevere and look for help.
[page 184]
How do we understand conservation of energy, momentum and angular momentum as features of Universal logical ('mental') process> Take it all back to action. An action is the distance between two fixed points, orbit a and orbit b
Conservation of momentum: action and reaction are equal and opposite, Ψ, Ψ*.
Why does Pythagoras theorem apply to rotation of axes? Conservation of angular momentum couples the axes because 3D space is descended from 1D time [entanglement?]. We should be able to get deeper into this with the Lorentz group ['contracted' to 3, 2, 1, 0 dimensions].
. . .
Feynman 'the origin of the world' = Initial singularity = classical God.
Simplest quantum event: wait [because the system is inherently dynamic, rate of change of phase measures velocity]
Force = flow of information, changing the (mental) state of an object. In quantum mechanics, things [amplitudes] change spontaneously without force, at a rate proportional to their energy.
Eternity is
- the
Modern physics embodies an ancient theological error: that the system (God) which is omnino simplex that is without marks or spaces (a continuum) can embody information.
[page 185]
Symmetry breaking: copy and differentiate, x --> {x1, x2}, eg Father --> {Father, Son}.
Friday 1 June 2012
Cooling ==> complexification, if energy is conserved.
If I am to be considered as a single particle, my energy = mc2, so that my 'temperature' is very high. Temperature is inverse time, the rate at which things happen (for a single particle). Little bits of a jigsaw. Always looking for an edge to build out from. Lost it, so fleeting -- yes, energy of interaction = rate of action = rate of completed computations = rate pf communication = strength of bond, = etc.
WORK = CHANGING FORM = CHANGING STATE OF UNIVERSAL MEMORY (against or with various potentials that bind the memory into certain states.
What is the hardware of the Universe. Back to the oldest question. Answer, the hardware for layer n is layer n-1 and the initial singularity = classical God = layer 0.
Thermodynamic theology.
If the Universe is divine it may be better to think of it as mind, rather than matter, and to think of all the things we see happening in the Universe as the workings of the Universal mind, just as we see all the things going in in our own minds as our experience of life. All experience, inside and outside our
[page 186]
is experience of God, and it is God's experience because each of us us part of God. This seems a bit mystical, so let us bring it a bit closer by constructing a model that shows the unity of mind and matter
We being with the transfinite numbers as an address space for the Universe. They serve the same role in theology as Hilbert spaces and differentiable manifolds do in physics, a data structure whose symmetries are broken to give us the Universe of experience.
In traditional theology God's mind is believed to work without any means of representation. We now know that matter provides the font of characters that are used to build mind.
Has Dawkins read Aquinas? Dawkins: The God Delusion
Feynan I 14-3: Constraint does no work because it acts orthogonal to the motion.
An AND gate is deterministic, but it is only probabilistically reversible because the one input cannot constrain the two outputs. The input is analogous to tossing two coils, one action with four possible outcomes.
Does the God Delusion mention Aquinas. Has Dawkins written a critique of theology that overlooks Aquinas, the Einstein of Theology? Einstein was a self starter, saddled with a suite of problems from boyhood which drove him his whole life. Me too, but not making anything like as much progress.
[page 187]
These are random notes on random revelations, as they come to me and my conscious task, like theologians trying to reconcile the relations recorded by the authors of the Bible, is to fit all the revelations together on the assumption that they are coming from a consistent and truthful God. Can we say this about Yahweh and God the Father, or are they more like angry and impotent old men?
Relax and watch television? No, write on.
The Universe is Divine. Why not? Many reasons are put forward, and the purpose of this book is to slay them all.
What does superposition mean? That units of the same thing (ie units of a symmetry) may be added linearly, that is by simple arithmetic 1 + 1 = 2 etc. This is observed to be true of all the fixed parts of the Universe. Complex vector arithmetic breaks down to simple sets of arithmetic operations like the rules for multiplying matrices (which include complex numbers).
Feynman I 14-6: 'As the various planets wheel about and turn and twist and so on, if we calculate the total kinetic energy and the total potential energy, we find that the total remains constant.' A symmetry (the primordial motion) broken up into a myriad of 'sub' motions which still add up to the original.
'structure of origin' Kauffman. Kauffman: At home in the Universe
Feynman 14-5 Potentials and fields
Newton placed the divine coordinate system outside the Universe, but we now go Gaussian and believe that the Universe is inside God and general covariance hods, so there there are many different ways to go from one state to another [and individual instances of a symmetry operation are given meaning by being mapped to a coordinate system, eg the hardware of a computer].To be observed, motion requires a mover and an observer, and there is no physical way to distinguish one from the other, they are merely to systems in communication. Communication delay -- special relativity. Velocity of light -- one bit calculation.Uniform (inertial) motion is the symmetry of a force free (weightless) Universe -- equivalence. Rotation [transformation] in spacetime.
Space and time were once one as were the three dimensions of space. First of all is time/energy, later momentum, then bonding.
We diferentiate to bind.
Why the misogyny built into so many ancient religions. Maybe it is because the attractive power of women is so great that men do things they might later regret and then rather than face the reality of their own lack of consideration blame the woman instead.
Patti Smith Banga
As Aristotle (a male) might have said: Omne animal post coitum triste est.
There are two sets of structures in the world, those that must eat (the irreversible) and those that do not need to eat, the reversible (and therefore deterministic lossless coding.)
The symmetry is the metric which is everywhere unchanged
[page 89]
by inrtetial motion in flat space. We simply start with energy and bifurcate that into {energy, momentum}/ These can be rotated into one another without affecting the interval between two points in spacetime.
Accessible / inaccessible, divided by a horizon (wall, bulkhead, bars etc).
The world around us is transformed into our world by communication.
A lifetime is a subset of 4-space, 3-volume x time. More generally, a lifetime is the subset of the total Universal process.
Spacelike = imaginary (inaccessible)
timelike = real.
What is the metric? The fundamental unit of emasurement is the quantum of action, the physical representation of the life of a Turing machine.
