vol VII: Notes
2015
Notes
[Sunday 22 November 2015 - Saturday 28 November 2015]
[Notebook: DB 79: Galileo Wins]
[page 146]
Sunday 22 November 2015
Quantum and human communication: ask a question and one may get one of a spectrum of answers, eg yes/no or a long sentence whose constraint is to be a meaningful reply to the question.
Some inspired words, I feel: (McConnell, comment to Zoltan F Bexley) 'The plan is that we model the universe as a network. Networks are layered and scale invariant, so we can copy lessons learnt at the physical level to the universal network to the human trading level. Given the old hippy ideas that a dollar is analogous to a quantum of action and energy, the time rate of action, analogous to cashflow, we see that there might be a case for building analogues of the symmetries and conservations of physics into our control of flows of value. Pat McConnell
[page 147]
Irrational exhuberance must be tempered by prudence.
Prudence: practical coupling to reality. We can define levels of prudence by probabilities. I have had quite an intense fifty years trying to establish a new coupling to reality and now I can feel the excitement coming on as I try to propagate it.
The digitization of the phase space we use for our description is necessary to capture the full mathematical breadth of the Universe, the logical rather than the physical, but physically embodied logic, the stationary skin of God. . . .
The world is shaped by form, ie potential, ie stationary points.
The stationary points defined by a differential equation str the duals of the equation, coupled to the equation by a metric: ∂ψ = E has fixed points.
We must tailor our structures to the natural fixed points of the universe which is exactly what we do with lego, the bricks have their fixed points of coupling, and a spectrum of stationary states, analogous to the electrons in an atom.
Space is the screen on which the fixed points of the world are projected. Space is the minimum setting for a completely coupled netwok with no crossed wires. This is too simple to be true, but on the other hand we are looking for a simple foundation. A differential equation with three orthogonal solutions, Dirac, diron. 3D + 1D is the foundation of all stationary points. How does the velocity of light fit in.
The large numbers of uncorrelated digital operations can be
[page 148]
modelled by waves and linear superpositions, but when we observe a given system we always see instances of the broken symmetries.
What we want is a model of the minimal living system, that is the minimum network, something like a tetrahedron. To live is to cycle, a recursion, so the minimum recursive system. From action to energy and back to stationary points. The stationary points are computable transformations, fixed encodings and decodings, In physics and quantum mechanics, the fixed points are the nodes of vibrations. The 'vibrations' between the nodes are the incomputable halo of the nodes. The universe is a multidimensional stringed instrument, and the simplest dimension is the atom of action, the divinity. Atom = simplex (not divisible), image of God. Sheeting in the dark, ie the vibration between nodes - Turing / Gödel.
Quantum mechanics is like me, no memory of previous actions due to erasure (annihilation) of messages. In continuous quantum mechanics every moment (in space and / or time) erases its source.
Techniques for creating enemies are essential to the success of all those who seek legitimacy from destruction rather than creation, ie destroying communication rather than promoting it.
Space-time is a fundamental representation of order.
Monday 23 November 2015
All musical instruments have fixed parts which determine the frequency, overtones etc of the notes produced. Various notes and tones are produced either 'digitally' by pianos, flutes etc or[page 149]
by continuous operations as with voices and fretless instruments.
Feeling as though I am on the edge of something new, a plausible model of 4D space-time growing quantum mechanically (logically) out of action / energy / time. The root of space seems to be orthogonality and the root of orthogonality is the distinction of mutually unintelligible languages. Pythagoras theorem in spacetime gives us as means of translation between orthogonal dimensions, so that we can rotate the axes of a frame of reference.
Governments 'print' money by selling bonds, thus borrowing money from the population, using 'paper', ie form, ie something like the physical process of converting potential energy into kinetic energy and vice versa. Paperwork of this sort is real in the domain of human trade.
Space-time enables the construction of dynamic 3D Venn diagrams. There is no superposition in real space. Venn diagram - Wikipedia
. . . .Hans de Vries Hans de Vries: The real symmetric representation of the Dirac equation
[page 150]
Gaussian coordinate system merely names points without telling us the distance between them very like the nodes in a network where distance is measured by time (and so phase).
Tuesday 24 November 2015
All computations are real, but only a simple algorithm is necessary to program a computer to do complex arithmetic simply two steams of real arithmetic with the special feature that negative numbers have roots, a feature necessary to get algebraic closure. Algebraic closure - Wikipedia, Closure (mathematics) - Wikipedia
One might understand the meaning of the transfinite transition from ℵn to ℵn+1 as the difference between solo sex and sex with another person.Momentum - memory - vested interest, the cost of changing a memory cell, the cost of replacing a building, ie in general the cost of an act of creation and annihilation , the the cost of change. . . .
The interface between reality and money is by valuation in a market. Where is the market in physics?
Wednesday 25 November 2015
Time to get down to algorithms? the basic algorithms of quantum mechanics are the addition and subtraction of complex numbers.
The quantum mechanical relationship <ψ|φ> = <φ|ψ>*
[page 151]
tells us that the message from B to A is the complex conjugate of the message from A to B. What does this mean, ie what does it tell us? [it is a necessary consequence of normalization in a linear system] Feynman Lectures on Physics, volume 3 chapter 5
Relativity is the source of spin/ Perhaps spin is the source of relativity, ie the structural foundation of space-time. Q: is this idea worth a day's work? Would I ever have thought it if I did not think it just a moment or two ago? Another step on my conscious noetic world line many of whose salient point are documented in this log.
Write the invisibility theorem in terms of logging, Can a computer log everything it does, including logging everything that it does? No. It would never get anywhere, since even the simplest step toward its halted condition would generate an infinite overhead (requiring renormalization [?]), ie shut down the logging to get finite progress.
Only fixed points can be represented by fixed text. Parmenides
Wikipedia Complex number: 'Complex numbers cannot have the structure of an ordered field [because they are recursive?] . . . C is an algebraically closed field . . . C is the algebraic closure of R. . . . Matrix representation
|a -b|
|b a|
a, b real.
e = ∑0∞zn/n!
What is the observable 'particle' space-time. It is a subroutine built into every particle. It is a clock whose rate is tied to the proper energy (including mass) of the particle. So the big question is how do particles move in space? Do they walk along taking steps whose frequency is proportional to their energy and whose spatial frequency is proportional to their momentum E2 = p2 + (mc2)2. Mass-energy equivalence - Wikipedia
[page 152]
What we need is a 'narrative' a transformation , that couples logic to spacetime. Now ordinary computers tell us that logical machines can do arithmetic, and arithmetic is the basic reference system we use to measure and describe (represent) the world, We can represent the fixed points; lepoard has no spots <==> leopard with spots and couple them with two stories: how the leopard got its spots; how the leopard lost its spots. In mathematics narrative / story = proof = turing machine .
Lonergan seemed to think that some things just happen with no meaning what he calles empirical residue, observations with no source. In the divine model nothing just happens, it must be done by some process or other. This is part of the pure activity of God whose flow is energy. Lonergan
How do you make 3D space out of logical process, ie what is the algorithm for space-time / momentum.energy.
Why is the Higgs necessary to give mass if mass is exactly equivalent to energy [it corrects some error in the standard model?].
Inertial mass is a measure of the amount of processing required to change the state of motion of the mass. As the mass grows so the required processing increases, but since mass is processing [energy] the more processing is available to move the mass, so momentum, mass and velocity are closely coupled p = m.v
How is meaning embodied in a network? In the algorithms used to decode the messages.
Feynman III: 5-5: 'Before going on we want to summarize three important general laws about amplitudes
[page 153]
I <j|i> = δji
II <χ|φ> = ∑i<χ|i> <i|φ>
III <φ|χ> = <χ|φ>*
A series of amplitudes, a computation: <0R|j><j|A|i><i|+S>.
Thursday 26 November 2015
Simultaneous and localized states add amplitudes
Successive and evolving states multiply amplitudes.
We say orthogonality is a matter of coding, incompatible codes = no communication. Coding in quantum mechanics is a matter of frequency and timing. A radio picks up no signal when it is tuned away from the broadcast signal, and thee is uncertainty here introduced by the bandwidths of transmitter and receiver [no signal can be sent at zero bandwidth]. [Does] this get us any closer to 3D space? Keep trying. Bandwidth works a bit like noise to confuse closely tuned signals so eg the FM radio network os sliced (digitized) into 100 kHz intervals. Frequency modulation - Wikipedia
Our root hypothesis is that the 3D ness of space is necessary for error free communication (no crossed wires). What is the minimum size of a network to need 3D? 4 nodes, wired in a tetrahedron. If we try a square, the diagonals interfere with one another. Interference (in quantum mechanics) is a consequence of crossed wires, two signals sharing the same space, ie a connection in the wires.
CROSSING = INTERFERENCE = SUPERPOSITION = INTERACTION
[page 154]
Time adds linearly. Spatial dimensions add quadratically, according to Pythagoras.
Powers and roots are orthogonal. Fermions are orthogonal breaking [maintaining?] their orthgonality by exchanging bosons. I am sitting in my kitchen spaced out by fermions. The fact that two fermions cannot share the saem state has something to do with the fact that state and space are coupled., but states outside each other's light cone are orthogonal, they cannot communicate (? [spooky action at a distance]).
Spin = actin = zero dimensional, ie it is blind to direction, but has an intrinsic direction, the 'spin axis'. Do photons exist in zero dimensional space, bosons, although they have an axis of propagation when we find them in three space. Fermions only need one dimension to repel one another along.
Friday 27 November 2015
Hydrogen atom in the ground state is spherically symmetrical and electron has zero orbital angular momentumSaturday 28 November 2015
Our genetic heritage is not too bad, having been subject to billions of years of testing [and selection] but our heads are full of completely unrealistic ideas inherited from previous generations. principally because we are indoctrinated into the language and culture of our birth long before we develop any critical faculties.We can say that almost always the consequences of an error are . . . more expensive that if the error had not occurred.
[page 155]
ISIS are very much like all those entities that engage in zero [or less] sum games, where my gain is your loss and vice versa. The alternative is to get with the universal trend and seek out creative games.
Justice, prudence, consistency: we need a certain mimimum of computed behaviour to keep things on the right track. Requisite variety.
From 26 April 1982: I am beginning to see how religion works. They set you a hopeless task and blackmail you when you fail.
