vol VII: Notes
2017
Notes
Sunday 10 September 2017 - Saturday 16 September 2017
[Notebook: DB 81: Scientific theology]
[page 147]
Sunday 10 September 2017
Holland: Classical particles interact via potentials. Holland: The Quantum Theory of Motion: An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics
page 28: '. . . on its own the spacetime theory of matter and motion of classical mechanics is not broad or deep enough to include quantum mechanics.'
My comment 1993: spacetime is a result of quantum processes! Still think this but not a lot more.
Conscience: When I was a Catholic child I was instructed to search my conscience for sins to confess in confession. In the Dominicans this went a bit further and I was asked to confess breaches of the rule to the House Chapter - check the Constitution.
[page 148]
Holland page 61: Holland wants to give [individual?] particles a 'personality' in the sense of a 'internal' potential V' that influences their reaction to the standard 'external' potentials of Newtonian mechanics.
page 63: 'In order to give a consistent physical interpretation of V' we have to generalise our concept of what constitutes "matter" . . . When we speak of a "material system" we therefore mean a composite entity comprising simultaneously real wave and corpuscular aspects.'
'Notice that in this most simple of possible generalizations of classical Hamilton-Jacobi theory the particle plays a passive role The S-function [S is Hamilton's principal function] has been elevated from a passive to an active role and now physically acts to affect particle motion, but the particle does not in turn influence the wave. One can certainly envisage a theory in which the particle and wave aspects interact in a dialectical fashion, but we will not discuss this possibility here because it is not necessary to the understanding of quantum mechanics.' Sounds a bit Platonic [what happened to action and reaction are equal and opposite?].
page 65: 'Endowing matter with a field aspect, mathematically described by ρ [probability density function] and S which no longer have a purely descriptive significance enables us to avoid the paradox of an individual's properties apparently depending upon an ensemble.' Do they in quantum mechanics? An electron does what an electron does whenever we meet it.
'The generalization envisaged here . . . is a casual determinist theory of individuals. The internal potential is an organizational or self-referential form of energy which brings about an "inner tension" in the material system to which the mass points respond.' What is new? Newtonian physics is built around mass and momentum. Quantum mechanical particles have a lot of other properties like spin and different forms of charge ie communication channels between fermions realized by bosons.
[page 149]
The act of writing defines a trajectory in the space of meanings that can be defined by language. I am setting out to write an essay on 'logical physics' a contribution to my general thesis that the universe is divine and so physics is the study of God's body. I am thinking of physics these days in terms of a computer network rather than the geometric picture currently popular which describes the world in terms of quantum field theories whose domain is a passive spacetimes defined by Minkowski in which the Lorentz transformation defined by special relativity enables us to see the world as one despite the different states of motion of its constituents. The idea is that all the processes in the universe, including local motion are acts of communication executed by logical computation and the continuity in the universe is defined not only by classical mathematical analysis but by proofs established by the execution of computable algorithms. The plan is to express quantum mechanics and quantum field theory in terms of computer networks still a vague and poorly worked out idea even though I have been thinking about it for most of my life,
The present motivation for another attack on this problem is Holland's book on the de Broglie-Bohm interpretation and extension of quantum mechanics which seeks to elucidate the physical processes which yield the statistical behaviours predicted and observed by quantum mechanics. The basic idea seems to be that individual quantum processes are deterministic and well defined but quantum mechanics misses the detail and just describes the behaviour of ensembles of particles The issue is similar to the use of statistics by government. Even though every citizen is leading a detailed life of interaction with other citizens which depend upon their individual personalities and situations, government statisticians can nevertheless put us all into bins of age, health, income, religion, political tendencies and so on. Holland sees quantum mechanics producing such statistics without taking note of the underlying deterministic behaviour that guides individual lives. He thinks this can be done by using waves to guide particles. My approach is to see particles behaving logically, like communicating computers, and generate the statistics by considering
[page 150]
ensembles of logical agents. This process is somewhat self-referential. Even though I am writing logically and hopefully communicating logically with you, nevertheless these deterministic deterministic elements that can be understood by logical computers are embedded in a vast network of inputs and interrupts that introduce a random element into my behaviour as a particle. Because networking and computation are to a good degree scale invariant, I can use my personal experience as a clue to understand the behaviour of electrons even though their repertoire of behaviour is much more restricted than mine.
I assume that my intelligence and consequent insights are products of the network structure of my central nervous system. The insight that insight and quantum events are the same phenomenon at different scale then supports the idea that a quantum event like the emission or absorption of a particle is also mediated by a network process. the idea is supported by the idea that quantum mechanics describes the motion of messages in a network.
What is the half-life of an insight? And how do we measure intelligence except by the depth and frequency of insights. On this basis, U238 is a slow thinker and many exotic particles wit infinitesimal half lives are pretty smart. And maybe the proton is deadly dull, lasting longer than the Universe. We understand quantum events by tunnelling. How does the brain tunnel?
Monday 11 September 2017
Holland page 66: 'If we wish to do more [than accept the purely probabilistic interpretation of the wave function] and attempt to understand the experimental results as a causally connected series of individual processes [ie a computation] then we are free to enquire as to the possible further significance of the wave function (beyond its probabilistic aspect), and to introduce other concepts in addition
[page 151]
to the wave function.
Holland page 67; 'The additional element we introduce apart from the wave function is a particle conceived in the classic sense as pursuing a continuous track in space and time.' Which I would like to understand as a series of [identical or symmetrical] computational steps like walking.'
. . .
So all he seems to be doing is trying to extract more information out of the phase. On the computer model 0 ≤ ψ(t) ≤ 2π is a measure of the total task that the computer has completed at time t. By dissecting the phase into little pieces he is making it easier to see the evolution of the phase as a description of computation. He wants to keep the phase and the particle all the time. It may be better to see φ = 0 as the moment of 'collision' of two particles, leading to a process that is complete at φ = 2π and whose outcome is the 'after' particles.
page 79: '. . . there is no reciprocal action of the particle on the wave (This suggests that Newton's third law . . . is violated).' Also conservation of energy and momentum. We are envisaging some sort of 'one way' force.
page 81: '. . . the basic dynamical law of quantum mechanics (the Schrödinger equation) is formulated in terms of an interaction of the wave directly with the potential V and not the force −∇V. This implies that the value of a potential at point has a more direct physical meaning in quantum mechanics than it has in quantum mechanics.'
[page 152]
Holland page 91: 'The particle responds to more subtle features of ψ than the intensity.' [The only other thing is phase]
If we count the letters in this text, we obtain a distribution similar to the distributions we get in quantum mechanics. From one point of view (ie that of a communication engineer) this may be considered random, but from the point of view of writer and reader, this distribution is a consequence of the language we are using and the meaning we are trying to convey. Can we attribute a similar 'metastructure' to quantum mechanical probability distributions — the measured system is trying to say something to the measurer, and in general particles are talking to one another in words and sentences albeit very simple ones. This is clear enough in molecular biology. Maybe at the particle level where there is not much memory, such longer strings are not possible.
page 107: 'The observed position is what the actual position evolves into in the circumstances of the measurement interaction.'
My general feeling is that the whole Bohm thing is silly because it assumes that real continua are defined to complete precision without taking into account the need for quantization to achieve error free communication. A system which grows from an initial singularity by complexification is bound (by a sort of median value theorem) to pass through a period of low complexity. Even though the natural numbers are defined precisely, the gaps between them introduce uncertainty when we are measuring geometric lengths. At some point we have to find a basis for Hilbert space where the lengths, that is the inner products, are digital = quantized and this will depend on the number of dimensions in the space [which are already effectively orthogonal and therefore quantized like the natural numbers; also all inner products of vectors with themselves are normalized to 1]. von Neumann's axioms D and E [pp 45-46] are designed to deal with continua that do not exist in reality but in the mathematical world of analytic imagination. Intermediate value theorem - Wikipedia, von Neumann: Mathematical Foundations of Quantum Mechanics
[page 153]
Holland page 128: In this work we postulate that the Schrödinger picture and the position representation are of special significance since we aim to treat quantum mechanics as a physical theory of the dynamics of particles and waves in space and time . . ..' Seduced by calculus and the continuum. Maybe space and time are also quantized and this is perhaps more easily handled by von Neumann, space with a countable basis. Better for psychological physics / quantum computation.
Symmetry is the key to probability - the principle of no reason, as opposed to broken symmetry where there is a reason, ie loaded dice, meaningful string of symbols.
Ie uncertainty and determinism arise from the gaps between natural numbers and other analogous situations.
The random nature of half-lives (decays etc) means that these processes are symmetric with respect to time, like conservation of energy, conservation of probability, dn/dt = kn
Evil and self-sustaining trajectories of hate polarizing like Hitler and the Jews, Trump and the Mexicans, and all those others who excuse their weakness by violently disparaging other, the death spiral vs life spiral.
Tuesday 12 September 2017
Some of the subroutines of life: nerve transmission, muscle contraction, glucose metabolism, etc ect, thousands of them all genetically encoded.
All quantum events require one quantum of action which we take to be one computation. The energy equivalent to the quantum is measured by the frequency of the spectral line emitted or absorbed by the event [which energy is a count of quanta of action per second]. These frequencies are the eigenvalues of the eigenvectors that represent the relevant transformation, and there vectors are fixed points in the dynamics of the system we are investigating. The fixed points are determined by the need to be consistent with all the relevant constraints imposed by the 'before' and 'after' conditions of the event, such as, for instance, the change of quantum numbers in an atomic transition. A lot of this is determined in the first order by symmetries and the Dirac equation. We might expect that events actually happen when their probability is 1, ie when we have a pure normalized basis state. Dirac equation - Wikipedia
Space-time is the momentum-energy layer of the universe. These also transform in the same way as distance and time. All the fundamental particles are subroutines of the universe. Some, like the photon and the electron need only space-time / momentum energy to exist. Others, like quarks, need a more complex toolkit to be found in baryons and mesons, and so cannot exist outside these systems, they are confined [maybe the fractional electric charge says something about this?].
Pais page 313: 'It should be evident now that Bohr's visions of new physical laws sprang from three rather than two ailments, all diagnosed when electrons made their appearance in small-distance physics: as nuclear constituents, in β decay and in the Klein paradox. Who, in 1929, could have had the wild idea that it would take three new particles, the neutron, the neutrino and the positron, to cure all these diseases?'
The missing processes to complete the low energy personality of the atomic nucleus.
Faced with pure ignorance it is very hard to know which way to turn so the most conservative strategy is to force straight ahead until one sees something clearly enough to motivate a change of course.
Pais page 325: 'In quantum field theory the postulates of special relativity and quantum mechanics are taken over unaltered and brought to a synthesis which perhaps is not yet perfect but which indubitably constitutes
[page 155]
a definite step forward. It is also a theory which has so far not yet yielded to attempts at unifying the axioms of general relativity with those of quantum mechanics [but the Dirac equation looks like a step in the right direction!]'.
Like Mr Trump, I spend a lot of time talking about myself. I am my own microcosm and my self-energy has a lot to do with my own neural network, ie mind, trying to understand itself and using this understanding to fit myself into the rest of the world. One of my principles is symmetry with respect to complexity, so I think of myself and an electron as equally particles moving around the world, coupled to the rest of the world by various communication channels Electrons interact by sharing photons and people interact by sharing, among other things, words. On the internet my principal channel is words and I talk to myself a lot too, which brings me within range of one of the principal problems of physics, the self energy of the electron. Classical physics tells us that the rate of communication of an electron with itself is an inverse function of is size so that if an electron is a particle of zero size then its rate of communication with itself is infinite, and this is understood to give rise to [an infinite frequency and so] infinite energy, which is clearly not the case in reality. We overcome this [sort of] problem in physics by renormaliztion. Can I get anwhere by thinking about the electron problem, (which holds for the self energy of all other point particles) and my own solipsistic conversations. The answer, in my case, is that I use a lot of my energy writing to other people, and if I did not I might become so self-obsessed that I might find myself going a bit mad. The electron problem, I think, and many of the other problems that arise in physics stem from the use of continuous mathematics in which denominators can go to [the limit] zero and the resulting calculations explode to infinity. My solution I call quantization to the core and takes the hint from quantum theory and the theory of communication that all interactions are quantized, so that the smallest available denominator is not zero but a quantum of action [related to zero point energy which is effectively zero because it is an algebraic mix of potential and kinetic energy]. So electrons and I both talk to one another in packets [which we call photons and words] and avoid blowing up to infinity [since the packets are all created by the countable set of computers]. So how do we revise quantum field theory along these lines?
[page 156]
Pais page 330: '. . . Dirac's realization (first exposed to Bohr in 1929) that the scattering of a photon on an electron is not a two-body but an infinitely-many-body problem' Does this make any sense?
'It may fairly be said that the theoretical approach to the structure of matter began its age of maturity with Dirac's two papers published in early 1927.'
I think that my basic problem is that I am too dumb and lazy to confront the full complexity of quantum field theory which motivates me to to to find an easy way around it. This search is supported by the idea that the world did start with a structureless God or initial singularity and the rather baroque vacuum offerd by physics does not seem consistent with that. Also laziness (but connected with intelligence and persistence) has probably been the source of many of the 'labour saving' technological advances that we have made over the centuries. So I suppose I will just go on the way I am, sitting pretty but hoping to find a way to find some face to face theological colleagues.
Wednesday 13 September 2017
From Trinity, Father, Son to electron self energy. Wish it was as simple as in those old days, but why not? We must inquire into the early stages of the' big bang' [the change of state from 1 to 2, ie the onset of orthogonality].
The Cantor universe and the renormalization group.
The installation of computers turns the transfinite universe into a [computable] group.
The effect of the renormalization of the group is to render layers computable despite their transfinite complexity. I see this in myself, which
[page 157]
although transfinite can be studied in terms of computer driven process in my atomic and molecular physiology [and beneath that atomic and nuclear]. The molecules themselves form a subgroup of the human group, and the whole trade of molecular biology is devoted to working our how it all works.
The only thing we can do about the incomputable permutations is to avoid them because if there is an error in a computable process it is most probable that we will be thrown into an incomputable realm if the error is not trapped and corrected [or the packet rejected and a retry requested].
There is probably a whole lot going on in layers between here and the initial singularity at energies that are far too expensive to reach, or maybe not. How can we tell when we are at the bottom? When we get to the [completely symmetric] transfinite group we call the Cantor universe.
These groups are transfinite but not continuous. Every element is a degree of freedom or a dimension and the distinction of events is preserved by permutation, all we are doing is changing the order of the computation processes which may be any computable size. When they are made physical they take time and this adds a new dimension of computational competition since speed and time are one of the essence in the survival game.
Coding required commutative multiplication or at least invertible functions of equal complexity.
Pais page 333: 'The quantum number [nk] of an oscillator is equal to the number of quanta with the corresponding [ν]. Let us have a closer look at this simple yet quite extraordinary remark which opens the door to quantum field theory.'
page 334: In order to find out how the mechanism for creation and annihilation of photons actually works one has to consider the coupling of
[page 158]
quantized radiation to matter [we want to say it is a computation process, ie a deterministic process. Quantum field theory seeks the bounds of determinism (computation) within the indeterministic cosmic process.]
Measurement (ie commnication) picks out a basis vector which is one all of whose coefficients are zero except one, and for that one |c|2 = 1. It is one act of communication. Quantum computating has the same power as formal computers which are equivalent to Turing machines but differently constructed. The Hilbert space / vector / operation system is well suited to execute this computation.
The renormalization group cuts down the cardinality of the transfinite network to 2, which is the generic two state system we use to model quantum computation. We only observe a halted computation whose probability of φφ* . At the same time we can cut our computing machine [down] into a clock that converts action into a superposition of potential and kinetic energy, like a pendulum, adding up to nothing and solving the cosmological constant problem—how? A stationary zero of energy, timeless act as defined by the classical eternal God. So we begin with the empty set ∅, and work from there a la Jech. Jech: Set Theory
Slowly getting the thesis together, using theological methods to solve physical problems in the divine body. Augustine and Aquinas only had a two state model potency and act. Now we call potency the vacuum and particles that emerge from it the act. We start with God and then work through the two state Trinity to the observable world described as a finite computable network within an infinite incomputable space. A computation or proof is equivalent t a line joining hypotheses to conclusions.
Such is the power of position significant-notation . . . that we can use a countably infinite decimal string to represent a real number exactly [in the limit. The positions must be created so that they can be occupied and become significant.].
The linear dynamics of the world are represented by quantum
[page 159]
mechanics, which is entirely built around the length and phase of a normalized vector or ray in [complex] Hilbert space. All the data in a Hilbert space is angle data which is the conjugate of the quantum of action.
A development which is receiving much attention these days is devising methods to wring more pleasure and excitement out of sexuality, exploring wider domains of sexual behaviour. The boundary on this is an amalgam of knowledge and consent which is frequently abused by the exploitation of poor people. A large part of internet bandwidth is devoted to sharing sexual media, images, videos, music and so on.
Thursday 14 September 2017
Pais page 361: 'It is the main aim of this chapter to describe how these infinites came to be diagnosed and how theorists responded to what fairly be called a new crisis: how to cope wiht a theory that works well approximately but makes no sense rigorously. As Pauli put it during a seminar given in Princeton: "Success seems to have been on the side of Dirac rather than of logic".'
Heisenberg 1935: 'In regard to quantum electrodynamics we are still at the stage in which we were in 1932 with regard to quantum mechanics. We know that everything is wrong, But in order to find the direction in which we should depart from what prevails we must know the consequences of the prevailing formalism much better than we do [more decoding the formalism].'
We would like quantum field theory to work at all scales, so that it must have such classical elements are are present in ordinary human relations. The hope is that transfinite network theory will be wide enough to embrace this ambition [very complex Feynman diagrams applied to human relations].
Pais page 371: '. . . in all [Einstein's] strivings toward a unified field
[page 160]
theory, the search for stable particle-like solutions of field equations remained forever one of his dominant concerns.'
What is an equation? a proven link, a connection, a substitution.
Every new bond in the structure of the world is a new communication channel, carrying one of the four generic forces in a new application.
Pais 418: 'The neutrino . . . is described by a four component field which satisfies the Dirac equation.'
I was very interested in physics at school but the theological interlude after school carried me off into metaphysical realms. I am now back thinking about physics as God's body, which we might call mathematics (ie logic) made flesh on the guess that the fixed points in the divine dynamics are computably connected to one another. So the computable permutations in the transfinite network form the stable background or skeleton of the universe upon which all its more intelligent, soft, moist and creative tissues are organized.
In quantum mechanics each communication channel is represented by a matrix element [or conjugate pair of elements].
Pais page 428: Heisenberg: "The problem of elementary particles is a mathematical one, it is simply a question of how to construct a non-linear relativistically invariant quantized wave equation without any fundamental constants."
page 463: '. . . the theory of photons and electrons . . . cannot predict the electron's mass regardless of the renormalization issue simply because m is its own mass scale. m is therefore as
[page 161]
uncalculable in the theory as Planck's ℏ constant in quantum theory or the light velocity c in relativity.
Pais page 463: The world of photons and electrons does contain the scale √hc for the electron charge e. Should one therefore assume to predict the dimensionless numbe α2 =e / hc, the current value of which is α−1 = 137.035963(15) ?'
page 464: Beginning with O(α2) one finds in the guts of the radiative corrections contributions from all species of charged particles in the physical world.'
That is a complete network embracing all computable transformations.
Friday 15 September 2017
Pais page 624: Pogo: "We are faced with insurmountable opportunities."
Zee page 3: 'In quantum mechanics the uncertainty principle tells us that the energy can fluctuate wildly over a short period of time.' ΔEΔt ≈ ℏ/2π. Is this a valid interpretation of the formalism? From the formal point of view, the fact that events are measured by an integer nh means that there are gaps between n and (n + 1), just as there are gaps between the natural numbers 0, 1, 2, . . . Is this gap really a dynamical principle? It is made to appear so by the fiction that the world is described by real numbers rather than integers.
'With quantum mechanics and special relativity the wildly fluctuating energy can metamorphose into mass, that is into new particles not previously present.' Or perhaps we have the creation of equal amounts of potential (formal) and kinetic energy which execute a process whose halted state is [fixed point,] a particle.
[page 162]
Zee page 7: '. . . the path integral formalism offers a particularly convenient way of going from quantum mechanics to quantum field theory.'
There are many human activities like cooking and organizing a trip to the moon which oblige us to follow defined procedures. Insofar as we are following designed procedure, we are acting like automatons. The difference between a human worker and an automaton is that the human is operating in a much larger space, human space, not Turing space. This larger space is the source of human creativity as it is the source of cosmic creativity. So we want to explain the information theoretic side of harnessing creativity in a way that connects us all to the divine reality, on the principle that if we are feeding from the same nipple we have something in common whose exploitation can be maximized by a judicious mix of competition and cooperation, something to be optimized by the action of the evolutionary paradigm, countable resources constructing an uncountable space.
The world is psychological, made of distinct events which can best be understood by modelling them as a computer network. The actual network is invisible, but we see its inputs and outputs, the observable world. We kick the ball, it flies toward the goal, but the keeper interrupts it. An enormously complex yet infinitesimally small part of the overall functioning of the cosmos. Everything is done by [quantum] jumps which can be represented by truth tables. Some organizations of logical jumps come to exist in preference to others depending o their reproduction and resistance to noise. The only things we can observe are logical jumps, is discrete events [modelled as mathematical symbols]. There is nothing to be seen between events, but we can speculate. So far the dominant method of speculation has been continuous mathematics. Here we go a bit deeper and consider the logical foundation of this apparently continuous motion and realize that the continuity we see is the law of large
[page 163]
numbers reflecting on a large set of discrete logical operations tht make the system go, driven by action, energy and entropy.
Evolution breaks the symmetries of the completely symmetric group of completely symmetries groups of . . .. They are all linked by computability. Computable processes can outperform random ones. How do we prove this, which is the evolutionary foundation of complexification [computables can reproduce themselves, a formal structure like a Platonic form, computable function, eigenvector].
What quantum mechanics means is a model of the universe conceived as a network whose links carry various symbols at various rates [which obey certain symmetries].
A computational interpretation of Feynman's path integral formulation. Feynman & Hibbs: Quantum Mechanics and Path Integrals
Saturday 16 September 2017
Consistency requires that one fermion annihilates before another takes its place. Bosons, on the other hand, can occupy the same place. What is place? An Aristotelian question. For us an address in space-time, which is a relationship established by a communication link. Henry Mendell (Stanford Encyclopedia of Philosophy): Place and continuity of Magnitudes in Physics iv and v
In a way the wave function is itself a boson, able to superpose linearly, but the elements of the superposition are distinguished by different phases and frequencies, adding like a Fourier integral. Fourier analysis - Wikipedia
The purpose of theology is to generate a consistent view of the world to serve as a fixed skeleton, rooted in God, to guide us toward peace and survival. This requires that we understand the boundaries on imagination made flesh, which boundaries are defined by computability which is a word for do-ability, which means playing our cards as a species so that we do not lose the layers that support us, in effect curating the planets and controlling activities that compromise our lives [or any life].
[page 164]
le Carré: Panama There is truth and there is falsehood. The truth is self consistent, the falsehood is not. le Carré: The Tailor of Panama
What we are lacking, I think, is a clear mathematical model of the advantages of cooperation (entanglement) over solipsism, fascism, monarchy and all other manifestations of thought control which tend to reduce the entropy and adaptability of the community. We seek the adoption of a church broad enough to represent the full symmetry of humanity, which is reduced by every act of violence, every error in the application of human rights. And I think I am looking for clues to this theological statement by observing the behaviour of the simple layers of the embodied algorithm which have evolved very early in the emergence of the World from God.The beauty of writing, like imagination, is that we can go beyond the bounds of current practicality to explore the possibilties that arise when we revise our views of what we can do or not do, when we decide between cooperation and 'me first'. The aim (impossible but worth a try) is to produce a mathematical picture that can describe everything from elementary particles to the Universe as a whole. What I see at the moment follows from two axioms:
(1) All the permutations of the Cantor universe are possible; and
(2) The definite correlations in the world are maintainted by computers, that is algorithms that logically connect questions and answers.
We implement these algorithms with the transfinite network. We imagine a network of possibilities, each modelled by a permutation, some of the permutations being computable. We can to some degree control the incomputable permutations by computable means, subject to the principle of requisite variety [so quantum mechanics goes to the computable limit what is beyond the computable limit is a distribution].
Quantum field theory sees the uncertainty principle [implemented in the vacuum] as a source of particles, ie messages. Really, however, it is simply the property of deterministic formalism, that is [symbolic] computability.
le Carre 434: 'Otherwise is had been an uneventful journey that gave him time to fine-tune his plan because, as Osnard had drummed into him in the training sessions, time spent on preparation is never time wasted, the great trick being to look at a clandestine operation from the point of view of everybody who was going to take part in it and ask yourself what does he do? what does she do? where does everyone go when it is over? and so on.'
Political philosophy is not just the formal philosophy of politics, but also a exploration of the powers and possibilities of politics by introducing new protocols for human interaction like learned societies, the nucleus of human development. People who explain and defend various actions based on their best efforts to understand how the world works, drug designers and the designers of our energy economy. So let us look at the energy economy of the Universe.
1. Conseration of energy. What coupling does this? Gravitation [the flattest possible 4-D space?].
We develop the model and apply it to gravitation, a la Dirac . . . PAM Dirac: The Quantum Theory of the Emission and Absorption of Radiation
An interpretation of the Dirac equation, the skeleton of 4-space.
A perception of sin has encouraged me to think about my intellectual career from the rime i learnt that auto-eroticism is a sin that can condemn you to an eternity of excruciating pain in hell, the pain of being burned without being consumed, the pain modelled by the Holy Inquisition. Digging into my microcosm
[page 166]
I am always interested in the nature and motions of my creative intelligence, a trait which I share with every other image of God in my universe, the divine light if intellect revealed on a psychological model of the world where we tend to ignore geometric continuity. My writing gets shakier as I get more excited by the possibility of modelling intellect by the transfinite computer network [if that is not big enough, what is?]. Our phase space is this structure. The Cantor universe is a phase space which can be represented by a Hilbert space. The big ask is the transformation between Hilbert space and 4-space and we would like the network could model it. Veltman; Ie there is a layer where they are identical and in the next layer they are split into two applications, 4-space and quantum mechanics. The link between 4-space and Hilbert space, ie between relativity and quantum mechanics lies in this bifurcation (one would like to think). Veltman: Diagrammatica: The Path to the Feynman Rules, page 21
. . .
The philosophy become political when I become convinced that it is worth examination to see if it has good and bad points and suggests ideas for the peaceful self management of human communities, since anything other than self management is management for profit by some sort of oligarchy. I take myself seriously which I why I press on. The root of faith is self and the branches are connections to others. I want to climb out of the depths of accusation (I am an original sinner) to the plain of self-respect, no longer an intellectual scammer pushing an impossible dream but now with glimpses of how to make the dream come true by learning to fly.
[page 167]
. . .
Deception takes place in the noosphere with false assertions.
The simplest quantum jumps are from 0 to +1 or −1, from n to n±1, which we call number states, the states of bosons in the quantum harmonic oscillator (Feynman). Feynman, Leighton & Sands FLP III:04: Identical Particles
Building theology on reality rather than acient books.
We imagine the transfinite network as a forma mathematical system and then study the constraints placed upon it by space-time computability,
Veltman page 15: '. . . we do not postulate commutation rules but we postulate the a particle of well defined momentum and energy is described by a plane wave.' a complex exponential.
'The additional quantum mechanical concept is superposition. It is borrowed from the wave theory of light. If we say that light is made up from photons, then we must identify the intensity of light (which is proportional to the square of the amplitude) at some point with the probability to detect a photon at that point.'
Veltman page 21: 'To every Lorentz transformation, or more generally, a poincare transformation corresponds a transformation in Hilbert space. Since we want physics to be unique we will insist that this is a one-one correspondence.
We identify survivability and computability, an effective plan.
page 33: A vector in Hilbert space represents a physical state. What is a physical state? A physical state is a possible physical situation
[page 168]
with particles moving here and there, with collisions, dogs chasing cats, with people living and dying. With all sorts of things happening. Often people make the mistake of identifying a physical state with the situation at a given moment, one picture fro a movie. The situation at some moment may be seen as a boundary condition: if one knows the whole situation at some moment, and one knows the laws of nature, then in principle we can deduce the rest.
How long does it take a measured system to conform to the language of the measurer, ie find the same basis s that they can communicate in the same basis?
An idea is looking good and I get excited. Feynman talks about particles sniffing out favourable transitions by integrating the phases along all possible paths, getting hints along the way by finding stretches f the route where the phases are in synch and the probability of being near or on the optimum path begins to rise. Like many other non-deterministic processes, like horse racing, we can study the form and lower the entropy of the race by assigning different probabilities to the participants. Then the excitment does down if the trip does not come off.
Survival, food, security and reproduction.
Bohr calculating the Rydeberg constant. We can establish numerical dependencies between charge, distance, acceleration, angular momentum, orbital energy etc and arrive at a first estimate of many atomic properties, as Bohr did, and the old quantum mechanics set the scene for the new quantum mechanics [Bohr's big breakthrough was the stationary non-radiating electronic state, contradicting classical electrodynamics]. Rydberg constant - Wikipedia
Cantor universe is my phase space
All interactions are managed by computers (computation)
Noise protection: a ship must be capable of weathering the maximum
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storm it is likely to meet on its trip. A constitution must be able to protect itself against being upset by autocrats. How much of a beating can the Trumpists give the world before it succumbs? He has no hope really, but there are plenty of dictators about energized by a corrupt monetary system. Perhaps we should model the [financial] network on the flows of value using the general theory of relativity.
The size of the group is governed by the power of the computer that drives it, so we an start at the bottom with the circle group and energy and build the Universe u from there, coming to transfinite groups like me, insofar as all my actions are part of me, there is no going outside myself. The circle group is a complex clock cycling between complex potential and real positive definite kinetic energy. Why is potential complex? Someone has to be if we are going to have a duality. All we need to define a duality is the equation not-p not equal to p.
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So we are all gods, but what do gods do? 1. treat each other as equals, unlike Yahweh, who demanded to be top dog. Yahweh - Wikipedia
The initial singularity had no structure yet it had the nous to become the world and we assumes that at some scale the world still has no structure locally, in other words every point in the world is inside the initial singularity bounded only by inconsistency and free to do anything consistent with that bound. The Cantor Universe defined non-constructively gives a measure of the possibilities within the bound of consistency.
When we fit the transfinite network with computers it behaves like quantum mechanics ?
Theological consultancy. The Universe is a product of the symmetry
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of the initial singularity. Peaceful society derives from the symmetry of humanity, which is expressed somewhere in the transfinite network. All sounds a bit metaphysical, but many thousands of years of theology show that digging down to perfect simplicity and perfect consistency is the only way to get to the root of the matter. Love that word root. My logical dream, the first element of the file / algorithm structure of the universal computer.
How can the vacuum be so deterministic if it is the product of pure fluctuation when we take to mean random permutation of coupled processes. The universe is a non-stop foolproof machine because it can always use its inherent symmetries to detect and correct errors: that one does not fit.
For uncertain processes the algorithm has nevertheless to be right so that when it runs error free it will do what it was designed to do. It does not matter is is takes my five goes to strike a match as long as I get the fire in the end. Many activities take at least a few and often very many tries to get them right and execute the algorithm without error.
Politics is basically money vs science, insofar as the money sees the science as curbing its freedom and the science sees the money destroying our life support system [they are also closely coupled because every product needs at least some science to actually work].
We compute the energy levels of particles trapped in potential wells to a first order with quantum mechanics at low energy. Another form of potential well is logical potential, the sort of force generated by a codec which establishes communication between states, so we can imagine the logical confinement within the initial singularity would generate complexity levels consistent with Cantor's proof that every set generates a bigger set. This is consistent with fixed point theory which I presume yields a new fixed point for every mapping, and there are ℵ1 mappings of a set of ℵ0 to itself.
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Where does the coupling constant of gravitation come from, mapping between information transfer and energy transfer. Electromagnetic force is about 40 orders of magnitude stronger and perhaps the first force to come into existence after gravitation - all energy, no information, no modulation. But what about gravity waves? Gravitational-wave observatory - Wikipedia
Göel and Turing tells us that logical confinement is broken There us a limit to how far computers can o, As we keep saying, there are only ℵ0 of them and ℵ1 mappings of the natural numbers to themselves, so almost all of these mappings are not computable, yet the computable systems have brought s to his magnificently complex structure. Is the advantage of computable functions over non-computable functions responsible for the difference between gravitational and electromagnetic coupling constants?
I was a computer for a while at Geosurveys, and a very poor draftsperson, rather impasto in my contour colouring because I let things get too dark too soon
Creation: the escape from logical confinement; tunnelling. We look for logic behind the numbers.
We can map a transfinite hierarchy of Hilbert spaces onto the transfinite network as long as we choose an upper bound. So in a way we start each layer of physics / psychology with a permutation group and then explore why and how only certain subgroups of the symmetric group are chosen for implementation.
Map quantum mechanics onto a network in a way that it computes the traffic between nodes (solutions to the wave equation) across a possibly infinite spectrum. Think physically to give meaning to the mathematics.
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A bifurcation: time → space-time, the generation of fixed points, stationary points, outside time ie formal, eternal, zero energy. We couple clock to processes to keep them in synch, like deliveries to a building site.
We like the fundamental trinity of communication, the atom of the network, two fermions and a stream of bosons between them.How do we go from logic to numbers? Count the acts of logic at one quantum of action each.
Electron annihilates photon, absorbs action and energy and jumps to a new energy level with another quantum of angular momentum. Angular momentum is the rate of rotation of phase in the Hilbert space.
We need philosophical assistance to decode the mathematics of quantum theory [the foundation of which there is no information in a real continuum, no marks].
