vol VII: Notes
2016
Notes
Sunday 31 January 2016 - Saturday 6 February 2016
[Notebook: DB 80: Cosmic plumbing]
[page 19]
Sunday 31 January 2016
Consciousness relates to second order, ie observation. Within the limits of network theory (applied in some yet to be seen way) I can observe myself and this log is a record of a subset of these observations deemed relevant to my theological hypothesis - universe is divine. Historically, natural theology is devoted to finding evidence for the existence of God in the observed world (which comprises both nuclear and human behaviour). The god most of them are talking about is the invisible, omniscient and omnipotent Christian God which exists (almost by definition) outside the universe and controls it by direct active intervention at every point. All my hypothesis does is move the source of direction from outside to inside the universe. In Thomistic terms this means explaining how the world
[page 20]
is itself pure act.
Disease, injury, error etc are all constraints on full functioning, ie completeness of a system.
Healthy = effectively complete (control).
. . . I am on a global search for anyone willing to collaborate on rebuilding [theology] as a science in the modern sense of the term, activities that attempt to confirm ideas by collecting physically encoded evidence from the output of the large hadron collider to observations made on injured, diseased or disabled people to isolate the root of their problem and set out to design ways to correct or otherwise accommodate this error (eg polio, ms).
An inaccessible address = invisible computer.
Barrow and Tipler page 253: 'Hoyle realized that this remarkable chain of coincidences—the unusual longevity of beryllium, the existence of an advantageous resonance level in C12 and the non-existence of a disadvantageous level in O16—were necessary and remarkable fine-tuned conditions for our own existence and indeed the existence of an carbon-based life in the Universe. Barrow & Tipler: The Anthropic Cosmological Principle
Explain this with a network. We begin with quantum mechanical linear superposition which is very complex because of the large number
[page 21]
of particles states involved. Quantum mechanics predicts the traffic on network links by considering the states linked, the unknown state of the observable and the known state of the observer. The eigenfunctions (basis states, code) of this interaction are precisely defined, but we observe random sequences of the corresponding eigenvalues just like the symbols being emitted by a communication source. Quantum mechanics predicts both the precise value of the eigenvalues and the statistical distribution of these values. This gives us the data necessary to compute the Shannon entropy of a quantum communication link whose terms we arbitrarily designated source and receiver. We embody both these ideas in the symbol 'source'. So the entropy of a quantum source. The elements of the entropy calculation are the frequencies pi of the eigenvalues ei. Frequency corresponds to energy, so we have a quantum mechanical route to computing energy levels. But why are the facts so good? Because of variation and selection which we express in terms of algorithmic information theory. Cantor gives us a formal world of symbols to play with. Quantum mechanics tells us that the real operations corresponding to the symbols take quanta of action to execute. To execute they must be computable, This is the first state of selection. And then the optimization to develop a system which reproduces itself faster than other systems which perform identical tasks, thus becoming dominant. So with the production of carbon?
The transfinite network has certain properties consequent upon its method of generation. Generates by permutation of identifiable symbols (particles). Each particle is a letter of the cosmic alphabet, which may nevertheless be composed of 'internal' letters and so on from me down to my current set of fundamental particles.
[page 22]
Barrow and Tipler, page 260: Brower: '. . . there is no bicontinuous surjective mapping of RN into (sic) RM if N ≠ M.'
Quantum mechanics deals with meaningless actions where relative frequencies are controlled by linear superposition which assumes that all actions are equivalent. The introduction of meaning breaks this symmetry because a meaningful system will bias frequencies in its own direction, as a competent driver of nails, for instance, will aim blows in a way designed not to bend the nail, at least until the wood is so hard that the Euler limit for buckling loaded columns is exceeded.
Monday 1 February 2016
We measure the probabilities of finding desirable minerals in kilograms per tonne of ore. Similarly we might measure documents by interesting observations per thousand pages of text. This house contains about 500 000 pages of text. How many interesting observations have I found in all this?
From the Barrow and Tipler point of view, the challenge of the network model is to explain the values of the constants of nature (page 386).
As quantum mechanics suggests, we can understand everything in terms of probabilities, that is relative frequencies , which are fundamentally measured in terms of time which is measured by phase.
[page 23]
Each of us is 'stretched' like a bubble bounded by an array of constraints ranging from the need to eat to our relationships with everybody else.
Unitarity means that the sum of the probabilities of the symbols available in any layer of the transfinite network is 1, so that in a completely random layer of ℵn symbols, the probability of each symbol is ℵn-1.
Tuesday 2 February 2016
Wednesday 3 February 2016
Whether they meant to or not my Catholic teachers convinced me that I could expect little pleasure in this vale of tears that is not sinful. Salve Regina - Wikipedia
Like many of my generation, I was seriously deceived by the Church. I was fortunate enough to see that the Church's history of salvation is incredible in the context of the world as we now know it. It is a relic of the days of blind and absolute authority that rule by the sword and arbitrary doctrine, a great and effective political power with no real contact with reality, simply a way for the ruling class to exploit their subjects. The Church is deceiving itself. Corporations that deliver unsatisfactory products are likely to suffer censure and bankruptcy, and the Church is on that path, as the rash in inquires into child sexual abuse demonstrate. Bankruptcy will not be far behind if the Church
[page 24]
does not reform itself.
Thursday 4 February 2016
As Euclid demonstrates, a proof is a construction.
Coyne: fighting a pointless rearguard action, they will not change their minds, even if proven wrong, Better to develop new theologies and religions that are founded in reality perceived by open minds. Coyne: Faith vs. Fact
The society is made by the technologies (arts) that it embraces even though most people do not know what goes into making clean water supplies or iphones, but their lives are guided by these things. So a few experts can develop new scientific theology and new social software and propagate it to the benefit of society even if people in general understand no more theology than physics or biology.
Bosons 2D - Frequency and phase
Fermions 4D - 2 x 2D, the invention of space by the 'halving of phase to give 180o out of phase superposition. What does this mean in terms of digital processing? an impossible result, 2 fermions in the same location: 2 fermions → 2 locations.
[page 25]
Friday 5 February 2016
From a digital point of view we may see the wave function as a square wave. The superposition of square waves with random phase but fixed periods can give us a continuous complex wave, which is what we observe if we if we observe enough events in, say, a two slit experiment. The fermion phenomenon requires waves of the same period exactly 180o out of phase to give zero probability of two fermions occupying the same start.
Boson - and; fermion - nand.
Information (and information processors) are physical. How does a physical information processor work? By changing its state in response to some input. How does it change its state? Quantum mechanics says it does so invisibly by the superposition of [wave functions]. How would it do this visibly? By changing colour, ie moving along some spectrum, or by changing shape. Space is not essential to changing colour (energy) but it is necessary to changing shape, since to change shape is to change physical [spatial] configuration. It is quite common for proteins and other molecules to change shape and composition in biological processes.
There are times when I am struck and times when I flow. I like to understand this in terms of communication theory: sometimes
[page 26]
I need time to decode things, sometimes it is instantaneous, often deeper (higher) meanings become obvious after prolonged contemplation, conscious and unconscious, of a particular body of data.
God makes the integers (insofar as it wishes to communicate).
Perhaps we can see all processing in 4-space as shape changing / permutation as we see for instance in all physical human activities at scales ranging from molecular processes to whole body tasks like fighting and fucking.
The Catholic Church is reminiscent of children before the 'age of reason' when they believed that political pressure on the parents through screaming, crying and demanding (all forms of prayer) was the way to get what they wanted. The Church cares little for the reality of the world where meticulous scientific investigation and technological application is essential to our welfare through such things as rational agriculture, water supply, waste removal and government communication.
The Standard Model gives us no reason for the differentiation of particles but simply imagines them to be created as a dust by the various phase changes in the universe. The layered network, on the other hand gives us a treelike structure which explains the symmetries in the universe, and also gives each particle
[page 27]
a pedigree that links it through a series of breaking symmetries (branchings) that lead it back to the initial symmetry.
Saturday 6 February 2016
Waiting for the slow flash of insight to understand physical computation. It is clear enough in engineered computers but I still wonder how the hardware of the universe works. To a first approximation (at least) this is described by quantum mechanics, but the application of quantum mechanics via the collapse of the wavefunction and superposition still appear as stumbling blocks. I am love with the logical power of the discrete (digital) approach but still lack a comprehensive suite of applications to yield the traditional quantum mechanical results and go beyond. Something makes me think the clue lies in the Feynman path integral method digitized. The mathematical weak spot in the current formulations seems to lie in the assumption that we can analyze the quantum of action into a continuum (via a continuity of complex phase) when it is physically an atomic object.The fixed point theory has been (to me) the greatest breakthrough yet, reconciling the absolutely simple god of old with the seriously complex world of experience. Quantum mechanics gives us a clear route to understanding the incidence of fixed points through the eigenvalue equation MΦ = mΦ where M is a measurement operator and m an eigenvalue corresponding to an eigenvector (eigenfunction, diophantine string) of M. The next step forward seems to be to interpret eigenvectors as Turing machines and eigenvalues as their outputs. The next step after this would be to actually implement such a computation that
[page 28]
gives results consistent with observation and here I am stumped. So back to Nielsen and Chuang. Nielsen & Chuang: Quantum Computation and Quantum Information
Pure 1D quantum mechanics describes spooky action at a distance insofar as it ignores distance altogether, it is a property of a layer deeper than space.
Invisibility theorem — overloaded server getting nowhere because of high frequency interruptions.
Gravitation is a fundamental source of structure in the universe on a large scale.
