vol VII: Notes
2017
Notes
Sunday 13 August 2017 - Saturday 19 August 2017
[Notebook: DB 81: Scientific theology]
[page 89]
Sunday 13 August 2017
At this point in my life I find the Christian gospel severely deceitful, particularly in its claim for eternal life and the power of control over us which it derives from this claim. Despite its falsehood, the gospel is a source of comfort to people and nothing is lost when, after they are dead, people 'learn' that there is no eternal life simply by the absence of life after death. Because it is so comforting, people cling strongly to this belief. At a recent funeral the preacher cited a number of weighty authorities to argue that Jesus' resurrection is a historical fact that points to the fact that we will all be resurrected [how?].
In time, for the sake of realistic peace on earth, these false doctrines must be replaced with the truth, which links death, reproduction, error, evolution and so on into a coherent picture of the Universe as we experience it. The function of the complex structure of the living world is error free communication which can overcome error in computable spaces
[page 89]
but not in regions of incompleteness and incomputability which systems must avoid if they are to maintain control.
Another major problem with the Christian message is its incorporation of human sacrifice and cannibalism. Frazer: The Golden Bough: A Study in Magic and Religion
The writing business can be quite emotional and I am getting excited about the possibilities of digital_field. The key issue seems to be the claim that the continuous wave or harmonic paradigm can be replaced with a logical paradigm. Zee: Quantum Field Theory in a Nutshell
Dirac Auyang page 61: 'The growth of the use of transformation theory as applied first to relativity and later to quantum theory, is the essence of the new method in theoretical physics. Dirac: Principles of Quantum Mechanics
Auyang page 62: 'The philosophical task of this work is to articulate a sense of the objective world that accounts from the working understanding and the success of quantum theories. . . . My concern is how we have managed to understand the quantum world to the extent that we do without a satisfactory quantum measurement theory.
Measurement of a quantum source requires the establishment of a common basis for the measurement operator and the system being measured. Zurek. Wojciech Hubert Zurek: Quantum origin of quantum jumps: breaking of unitary symmetry induced by information transfer and the transition from quantum to classical
Zurek: Dirac (Principles) ' . . . a measurement always causes the system to jump into an eigenstate of the dynamical variable that is being measured . . . '
So we are thinking of quantum measurement as a network interface requiring a handshake, a data transfer and a signoff.
The input and output of a quantum source are both digitized,
[page 91]
so we would expect the processing behind the scenes to also be digitized. We digitize quantum mechanics by considering eigenfunctions to be Turing machines but how does this work? And how do we understand the computation of inner products that determine the probabilities of quantum events?
In communication theory we can count the rate at which the different letters of the source alphabet are emitted and from that compute a source entropy which could be maximized by making the letters of the alphabet equiprobable.
There are two quantum mechanical computations which we understand to be performed in complex numbers: addition in superposition, and multiplication pairwise [multiplication] followed by addition calculating the inner product.
Monday 14 August 2017
A tale of two paradigms: harmonic vs logical, Zee and Weinberg. Steven Weinberg: The Search for Unity: Notes for a History of Quantum Field Theory
Everything that we can see is quantized. We know that all our senses work on particles, photons, phonons electrons and to on, We know that out nervous systems (and so our minds) also work digitally through 'action potentials'. We know that our neurons act through superposition, summing inhibitory and excitatory impulses to decide when to fire themselves, and so on. Yet we insist on the invisible harmonic paradigm, like the churches that discount the visible world in the light of invisible worlds to come (see, cannot keep theology out of it). This seems common in all primitive people who blame invisible forces for everything that happens and must find someone to blame when things go wrong. The foundation of modern civilization is innocent until proven guilty by real evidence, not gossip. Geoffrey Robertson. Action potential - Wikipedia, Robertson: Freedom, the Individual and the Law, Kurdaitcha - Wikipedia
[page 92]
The conclusion of the article might be a digitization of the Dirac equation (4 coupled energy equations) and something about the Feynman path integral.
From macroscopic to microscopic made possible by symmetry with respect to complexity.
Feynman showed how to devise computational Hamiltonians and the linearity and reversibility of quantum processes are consistent with communication theory. We are inclined to think of quantum computation as a resource to be used by giving inputs to quantum computers and taking outputs from them but in reality all quantum processes take place within the universal network and the presence or absence of human users and observers is irrelevant. Feynman: Feynman Lectures on Computation
How does an eigenvector or eigenfunction represent a Turing machine? It is a point in a Hilbert space of some finite dimension, beginning presumably with 1. We are saying that human insight, the collapse of the wavefunction and any other process is a passage from indeterminate to determinate, as this paragraph is becoming another determinate step on the way to a more complex story. By deleting the dichotomy between physics and psychology we open up a new explanatory paradigm which can lead from God conceived as the initial singularity to God conceived as the total complexity of the universe.
The mathematical foundation of creation is permutation [permutation of identical processes gets us nowhere, but permutation of different processes yields new more complex processes].
The psychological point of view can be exhibited by considering the mathematical community and their devotion to logical rather than geometric continuity. The conscious mind
[page 93]
of a mathematician awaiting insight may be a featureless continuum but then something springs into mind, the next step in a proof for instance, and something has been constructed. Our mathematical foundation for creation we take to be permutation and we construct a phase space for the creative universe based on Cantor's construction of transfinite numbers. So my blank mind, looking out the window and listening to the crows, has formulated another permutation of English words to represent an element of [an essay] digital_field.
Tuesday 15 August 2017
An advantage of the digital approach is that it would remove the occurrence of zero denominators and consequent infinities in field theory, converting renormalization from hocus-pocus [to logical sense] and perhaps rendering gravitation renormalizable. It will take me much study to understand this, but it will be worth the effort.
It is generally assumed in quantum theory that the quantum of action can be divided into infinitesimal elements and then integrated, a mathematical procedure that does not reflect physical reality [nevertheless, because the fictitious integration is performed over a featureless continuum, the result may be the same as if the quantum of action was considered logically as a whole, that is the execution of a Turing machine].
Perhaps what I am really seeking for the proposal that the Universe is divine is compensation for the realization that the promise of eternal life in heaven after death [is false] in the form of assurance that I am part of God in this life and should open my eyes to the beauties and pleasures of the life that I enjoy. Of course I experience some hell in this life too, but always hope to minimize it by careful management.
Robertson: Reason, in the hands of kings, judges and parliament puts many constraints on human behaviour which are inculcated into us from birth in the society of our parents [usually with an eye to peaceful and prosperous social interaction]. We meditate and pray to convince ourselves of truths which we feel,
[page 94]
often from social pressure, that we must believe All this is in effect adopting our personal minds to the region of the noosphere in which we find ourselves. Noosphere - Wikipedia
So I meditate on the divine universe analyzing and rejecting the Christian notion that it is a vale of tears, a region of pain and sorrow bracketed by the pains of birth and the pains of death, rendered ontologically defective by an angry and petulant creator which could not control the behaviour of its own creation [blaming the victim like so many autocrats ever since].
It is comforting in the light of my early indoctrination into the work ethic to have reached well beyond retirement age so I feel that I can stop work if I want to although I retain the ambition to write something that will revolve the noosphere toward the belief that we live in God, and explain the practical consequences of this vision.
Goldsmith; The Stable Society Goldsmith
Group: closed space of computations: 2 inputs one output.
Feldman: QED renormalizablity Feldman, Hurd, Rosen & Wright: QED: A Proof of Renormalizablity
Computer network
Wednesday 16 August 2017
Heisenberg picture - operators f(t), state vectors fixed Heisenberg picture - Wikipedia
Schrödinger picture, ψ(t), operators fixed. Schroedinger picture - Wikipedia
We follow S since physicists choose and control the operators. In this case a state vector is an element rotating in Hilbert pace which is the vector sum of all the elements of the state vector rotating in their one dimensional subspaces.
[page 95]
The quantum turing machine adds complex numbers [angles]. Perhaps it can also multiply by repeated addition. Perhaps phase can be digitized in π, π/2, π/4 etc to give a similar result to the orthogonal basis of an observable / observer.
The rule of law digitizes human behaviour by putting us into bins compliant / noncompliant etc.
Trying to see what is in front of my nose. If the world started off completely simple, it must be pretty simple to understand, one would think. So I open my mind to simplicity and the exponential series 2, 4, 8, 16 of bifurcating trees. So we begin from the Trinity, two fermions and a boson. Why not? Then build space-time on this, building up a little operating system and some software for the Universe which is in fact described by linear algebra in Hilbert space, things differentiated by their orthogonality. Now orthogonalities are generated by the tensor product. So we see spacetime as a network of fermions communicating with the bosons at the fundamental level and them complexifies both fermions and bosons by building transfinite spaces as tangent spaces to every event, fitting it into the overall network scheme whose total rate of communication is the energy of the Universe.
Was Socrates wife mad or just a bitch? I feel somewhat surrounded by mad women, an inspiring state as one explores how to fit the madness into a peaceful community. Xanthippe - Wikipedia
We cannot just have particles filling space-time like dust. Their individual existence depends upon them being coupled into a network that gives them an identify, a reason for living.
Thursday 17 August 2017
[page 96]
The idea that quantum theory predates relativity and is a consequence of the emergence of time and energy may bring us back to an even simpler era for the creation of the operation of computation where we think of each computation simply as a action, a 'pure' action whose essence and existence are identical as in the classical God, and we imagine the next step as the bifurcation of action into an analogue of the trinity which we see as two fermions communicating by the exchange of bosons in a situation that can be described by the energy equation with no particular frequency.
DeNeen Brown: Taney, Dred Scott: 'When the Constitution was ratified, Taney ruled back people were "regarded as beings of an inferior order, and altogether unfit to associate with the white race either in social or political relations, and so far inferior that they had no rights that the white man was bound to respect; and that the negro might justly and lawfully be reduced to slavery for his own benefit." ' DeNeen L. Brown: Removing a slavery defender's statue: Roger B. Taney wrote one of the Supreme Court's worst rulings
It seems quite difficult to explain the digital universe without invoking theology, but the key lies in the psychological / physical distinction. God is a psychologial creation whose physical aspect lies in the fixed points used to communicate in the divine, mind, ie the universal process.
What an I do? Write on.
Friday 18 August 2017
The continuous variable in the Schroedinger picture is the state vector ψ which is the superposition of all the solutions of the energy equation ∂ψ = Hψ. If we wish to digitize quantum mechanics to the core we need to digtize ψ which we may do by picking out only those vectors ψ that represent halting computers. How do we map a computer to a state vector? A computer is a sequence of operations, each requiring action h. If we think of Hilbert space wth countably infinite dimension, each computaion would seem to need h.ℵ0 quanta of action, which does not seem right since each event in quantum mechanics is measured by one quantum, so we must have something like the collapse of the wave function where only one of the elements of the state vector is executed. Here might be a case of the effort to make Hilbert space complete, in the sense of the real numbers, we have introduced a vast [continuous] space of extra complexity which is fictitious, analogous to the gauge [freedom] introduced by the application of continuous mathematics to physics in general. Following the words, we get to weird places, like science fiction.
Science fiction, produced by imagination, is the source of science. History seems to have taught us that truth is stranger than fiction, so that we have to stretch our fictional imaginations to the utmost to achieve understanding of things like special and general relativity. Einstein imagined travelling alongside a photon and eventually came up with the group of Lorentz transformations. Lorentz group - Wikipedia
Robertson (and many others) document systematic breaches of human symmetry. Robertson: Crimes Against Humanity: The Struggle for Global Justice
Basic energy equation is simply the moving phase of a complex number z(t). Then we add dimensions, providing a tensor product of two energy equations observing [interacting, superposing on] one another, finding a common basis [harmony] as in a quantum measurement. We construct the wave function of the universe by a tree of tensor products modelled by the transfinite computer network. Sounds lovely but how do we make it all fit the word we live in? By a surfeit of states culled by a selective process.Just say all this to myself again and again and proceed very slowly like polishing glass. Circle group - Wikipedia
Saturday 19 August 2017
[page 98]
Every elementary event involves one quantum of action eg absorption and emission of a photon. The question for quantum mechanics is now much energy is associated with this event. The computation of the energy can be very subtle as we see in QED, eg Lamb shift [the subtlety arises from low frequency connections in the network]. Lamb shift - Wikipedia
[Scientific theology] Chapter 9: How do we make peace in a divine world?
Feynman's path integral is a form of natural selection. One imagines all possible paths between two states and assumes that the path taken is the one where the phases in the vicinity of the path are relatively stationary with respect to one another and additive. Path integral formulation - Wikipedia
I am relying on simple mindedness to guide me through the complex thicket of field theory to the underlying simplicity of the divinity and then build up the fixed points to the complex world we see now.
Agatha Secret Adversary [chapter 22]: 'On the other hand it is quite impossible to lead him astray through his imagination. He hasn't got any—so he's difficult to deceive.' The priests working for the kings who thought up the whole god and divine right thing had too much imagination and politics and theology have been sucked in ever since. Christie
