vol VII: Notes
2013
Notes
[Sunday 24 March 2013 - Saturday 30 March 2013]
[Notebook: DB 75 Reconstruction]
[page 64]
Sunday 24 March 2013
Conventional quantum mechanics localizes a particle in space with a 'wave packet', a superposition of momentum waves normalized to 1 with a finite extension within which the particle is expected to be found with probability 1. The wave packet is in effect a field whose domain is space-time. It represents a superposition of momenta. A particle with definite momentum is represented by a monochromatic wave, filling all of space and giving no clue as to where the particle is to be found, consistent with the uncertainty principly ΔxΔp ≈ ℏ.
My base process is to attract enough value (sometimes measured in money) to maintain myself, my family and any other dependants. My theological speculations
[page 65]
reside in the 'headroom' that is left over once this has been achieved.
From the point of view espoused here, quantum mechanics of itself only explains processes in time [/ energy] which we see as close to the basic hardware layer, and events in space are described by a layer higher than time which contains more than one independent system made possible by independent [orthogonal] memories. [every network begins with a clock, differentiates into a set of clocks with different rates which are elements of the superposition we call a quantum harmonic oscillator.]
From our point of view, space-time is not just a passive background but a layer of the universal process. This is consistent with the dynamic view of space taken by Einstein in the general theory. From this hint we suppose that we can get our first clues about space time from the special theory, where both are equivalent measures of the process of communication which we model by computation, which we further understand to be the formal representation of the logical relations between the fixed points created by the dynamics of the Universe. Twisting and turning, struggling to get s grip while avoiding being trapped in dead end concepts.
All human activities, and by extension all activities in the Universe are forms of love-making, that is communication. The ancients realized God is love and analyzed love into formal and dynamic elements in the world but in a sense denied form to God by establishing that God's essence and existence are identical. The modern version of this is that dynamics and fixed points are two sides of the same coin, as we learn from Brouwer and co. Brouwer fixed point theorem - Wikipedia
One fixed point, the energy equation in transfinite dimensional space generates all the fixed [points] in the Universe
[page 66]
Formally, all the fixed points are represented by the orthogonsl dimensions of a basis for a Hilbert space, and the probability of our observing a given fixed point from another fixed point is the square of the phase difference between the two states which is encoded as the angle between state vectors in Hilbert space. So we might day ht the potential well and the spectrum of states it induces are created together. So we can imagine that each potential well corresponds to a certain operator with a basis set of computable functions, the eigenfunctions that produce the spectrum of particles living in the potential well, ie the fixed points of the operator, the alphabet of the measurement. In a dynamic Universe, a letter of the alphabet is not just an object but a process with a limit, s halting point that embodies a message between the communicating systems.
Quantum field theory adds special relativity to quantum mechanics. That is to say, processes are no longer instantaneous as in the Platonic world of pure form, but processes begin to take time, so that time, irrelevant to the imagined world of pure form, now becomes of the essence. Before the emergence of space, the world ran on one clock, it was a single process, The creation of pace is equivalent to the creation of independent processes, that is the bifurcation of the ur-process into two processes, two personalities, two sources, Father and Son, God and the Word.
Sometimes I think that what I am writing is quite good stuff, but as the organisation of these notes shows, every sentence and paragraph is just a snippett adding to a picture
[page 67]
which remains largely unresolved. The basic story is the creation of story about creation. We see creation as within the classical God of pure action, total simplicity, omniscience and omnipotence, and understand it as the creation and annihilation (emergence and disappearance) of fixed points in the divine dynamics. We can only observe the fixed points, and use our observations to make conjectures about the process underlying the creation and annihilation. The current result of this process is quantum field theory which yields good results but is rather dodgy conceptually because of confusion about the source of determinism in the world, ie that part of it which remains fixed enough to be subjected to millennia of study. The creation of s fixed point is not creation out of nothing, but simply the emergence of a new fixed feature in the dynamics (like a newborn baby). Catholicism insists that the World was created out of nothing, but that does not make much sense: the world was created by (out of) God. It is simply a matter of mathematical terminology that God exists because God is self consistent and all self consistent formal systems are granted existence in mathematics.
I am hunting in my own head. Each one of these little snippets I being home represents a fixed point in my mental potential, which I assume to be a product of my evolution and upbringing. Having sailed very close to the Church and felt its power, I am committed to reimagining it so that it becomes a power for creation rather than repression. It is a parody of ancient bureaucracy. We want to change it into a science and population wide think tank (mind)_ to work out hoe best to live given the nature of our world.
[page 68]
I continually read disaster stories about the moronic wars an standoffs in the world and wonder why this is so. Ultimately it is about the resources for survival and reproduction, and what we want to do is take the heat out of this by creating s flat playing field of free and fair trade maintained by s control system which survives by taxing the welfare that it creates.
Dreams of reform: safety, security, warmth, friendship.
Symmetry = unobservable process or unobservable outcome. One cannot tell, looking at a snowflake before and after some process, how many steps of &pi'/3 it may have been rotated by that process.
Events are quantized in space-time, so I can be conceived as an event, taking up a certain amount of space and time, comprising many other event, the smallest of which occupies the spacetime pixel h.
Monday 25 March 2013
Ballard, Empire Sun Ballard
Tuesday 26 March 2013
Getting into the website revision, about 14.500 files done, but I feel motivated for steady work. One is always on the lookout for a bit of romance, but it occurs infrequently, perhaps with the same statistics as earthquakes, from mag 0 dates to mag 10 loves of the life. It creeps up slowly, quite often, also like an earthquake, slow creep followed by rupture. What i would really like to do (and it keeps me working hard`0 is to finish all
[page 69]
this, publish it in fairly good shape, 0.1, and then have a romantic holiday. I wish. What is needed, of source, is to attract sufficient traffic to the site to make a living out of it. So far one could say it has absorbed 50 years of my working life at about half time. The early years were confused and `I did not settle onto a fixed direction till the late 70s (I think). There is not much writing from then.
Finished About, starting on synopsis. As ever `i find that `I had the story fairly together in 2009-11 when I last worked on it, during the brief life of the laptop.
Only the continuous repetition do we slowly squeeze out the succinct slogans that associate with a marketable product. We never die, say the Christians, despite appearances, as big an error as splitting reality into God and the World. They they decide that the God element of reality is good and the World side bad. From a measure theory point of view, we would say God = 1, World = 0 (measure zero). We might write this God = 10, World - 0. However the measure approach misses the point because it is too arithmetic. God is 1 and the world, being identical to God, is identically 1, and these two 1s add up to 1, ie they superpose.
We try to prove the union of God and the World, nut the proof of the pudding is in the eating and here the large volume of material in the website serves as bed of rice or couscous upon which the richer morels can be served as quantum mechanics was delivered on a bed of meticulously elaborated class ical mechanics and
[page 70]
continuous mathematics. We have our pentagon, Cantor, Brouwer, Goedel, Turing, Shannon, Cantor, . . .
I feel quite strongly, and have . . . for quite a while, that it has all been worth it. My fifty years at 30 000 per year has earned me a treasure worth $1.5 million + profit - it just has to be sold. We well it as software into the high tech industry using the standard algorithms (proofs) of the theories of computation and communication, something which there is quite a large community rimed to understand.
The first coupling is between actus purus and formal systems, that is fixed points [the dynamics of this coupling is executed by computers].Ballard, Empire page 163: 'Jim longed for the next air raid, dreaming of the violent light, hardly able to breathe for the hunger that Dr Ransome had recognises but could never feed.
As I long to come to grips with the Vatican.
Wednesday 27 March 2013
Although we can represent the black body spectrum with a continuous curve, the underlying events are digital, the annihilation of a photon with one energy and the creation of a photon with another energy, the energy balance being maintained within the limits of the uncertainty principle.
Kuhn page 15: '. . . Clausius demonstrate that entropy
[page 71]
must be a single valued function of a system's configuration or state.' Kuhn
DETERMINISTIC = CYCLIC (PERIODIC) coming exactly back to its starting point by a process inverse to the way it moved away from its starting point, a feature embedded in complex numbers. Constant entropy / reversible.
Thursday 28 March 2013
Dad 94
How do we explain irreversibility? From reversible quantum mechanics. Problem similar to Planck and Boltzmann, Kuhn 32, 39-71.
Uncertainty = lack of information = symmetry = [possibility of] creation.
Statistics is our mens of describing nothing, so that when observations deviate from the statistics we suspect that the symmetries underlying our derivation of the staistics are broken.
Different encodings of the same data tend to accentuate different features of the meaning of the data, eg real space and phase space relationships of a gas etc.
Kuhn page 70: 'The probability calculus and the combinatorial definition of entropy did not attain their currently central position in statistical mechanics until
[page 72]
some time after 1910.
Kuhn Page 70: 'For Boltzmann, in short, the probability calculus was primarily a technique of evading paradox. . . . ' It provided an escape from the reversible determinism that appeared to be embedded in classical physics, making creation and the increase in entropy possible by introducing the ideas of symmetry and uncertainty.
Periodic = reversible
As Planck was discovering, creativity = increasing entropy = irreversibility requires indeterminacy = symmetry = identity (no resolution)
Entropy increase with energy conservation = more [observable] states per unit of energy [the parameter we call entropy points to something real which we understand to be a count of the possible states in a system, a certain subset of which are occupied at a given time]
A big religious evil is the way older people encourage the younger to dies in warfare for spurious [not as important as life and death] reasons. All these deaths could be avoided by a few simple rearrangements of the explicit and or tact theology that underlies our actions. The whole Bible is built around the alleged enemies of the Lord. In other words the whole mentality us us against them. The Chosen People against the rest. Such a strategy may make sense where there is a serious shortage of the resources for life, but in a world of plenty, it make no more sense, it is out of date. Obesity is our problem now, coupled with a lot of drug and hormone induced fantasy.
[page 73]
We've got to protect ourselves from warmongers at all scales, that is elements that consume the organism for their own good, like cancers.
Cancer is a parasite on well ordered structure which is no longer cooperative with the whole and is squandering resources without regard to the system it is feeding off.
Kuhn Radiation constants page 111: 'One constant would be required to determine the amplitude of Ψ and another . . . to render dimensionless the argument of the exponential term.' A constant establishes fixed relationships between dimensions, allowing them to be interchanged. h = ML2T-1 so by multiplying it by M-1L-2T we get a 'dimensionless' number, something more abstract than a number with dimension [a pure count without categorization]. A constant is a channel, a transformation.
Kuhn page 112: 'Without apparently having intended to to do, Planck had produced a concrete quantitative link between electromagnet theory, on the one hand, and the properties of electrons and toms on the other.'
The God problem: Planck 'there is no basis for attributing the properties of ponderable matter to the optical ether for the latter differs from the former in its most essential characteristics". page 113 [bridging this gap is another step in bringing heaven down to earth begin by Newton].
[page 73]
There are two legs to every circuit (from a fixed point of view, out and in, going away and coming back and they are complex conjugates of one another at the most abstract level. This idea is a fixed point in my mind which I kept repeating to myself so I would not forget until I finished what I was doing and could write this down [cf quantum mechanical axiom that immediate repetition of a measurement will yield the same result (?)]
