vol VII: Notes
2019
Notes
Sunday 14 April 2019 - Saturday 20 April 2019
[Notebook: DB 83: Physical Theology]
[page 195]
Sunday 14 April 2019
In a computer the memory maintains space division multiplexing in the form of spacelike slices and the clock maintains time division multiplexing. A random access memory requires [at least two] dimensions where the memory of the Turing machine has one dimension [which means the processor must step through many locations to get to the one it wants]. The development of the mechanical analogue of four dimensional space-time was essential to the development of a practical computer [basically already provided by local 4D spacetime].
What we are looking for is a layered classical computer network
[page 196]
with the entropy necessary to describe the whole universe beginning with local version which describes inertial space and transformations between inertial spaces in relative motion. The idea that has been with me since the mid 80s is that we can do this with the Cantor Universe, but now we have to put it on a firmer footing. This network will emulate classical physics, and depend for its basic hardware on quantum physics.
A Fitzgerald mot page 258: 'The strongest guard is placed at the gate to nothing . . . maybe because the gateway to emptiness is too shameful to behold.' So the infallible magisterium of the Church protects a vacuum, the contradiction of goodness and perfection. Fitzgerald: Tender is the Night
A lossless codec is a mapping from a set of natural numbers to itself, which may involve algorithmic compression and expansion, the power of meaning exploited by mathematicians (= symmetry) when talking about infinity. Codec - Wikipedia
Good writing: a sequence of little patches of pleasure.
Every event is a computation whose inputs and outputs are particles ie messages er photons which carry phase from one part of the universe to another, that is timing, ie position in phase space.
If the universe is a mind and minds are subject to mental disease we may find similar problems in the universe,
[page 197]
neurosis, schizophrenia etc caused by problems in the communication between neurons caused by defect or excesses in various neurotransmitters and we should think about curing the ills of the world in terms of rebalancing the transmission of information between people Fitszgerald page 214.
Practical consequences of divine mind. Earthquakes, tsunamis, volcanoes, moving up to human deformity caused by genetic and developmental disorders into the realm of parasitic diseases brought on by interspecifc competition for resources. In all these cases science, ie a true understanding of what is happening through the relevant mechanisms is the key to salvation.
Monday 15 April
Classical networks depend upon quantum hardware.
Communication is the basis of real relationships and bonding.
From page 190 Wednesday 10 April: I wrote a confusing paragraph which can now possibly be explicated:
The basic function of a computer in a network is lossless transformation, ie reversible proofs, which is the defining behaviour of isolated quantum systems which is broken by observation, once the invisibility is broken by entropy increases.
Of course most classical computations are not lossless because data is erased but they can be used as lossless codecs insofar as the encoded text has effectively the same entropy as the original so that it can be fully recovered.
Now we are trying to answer Wittgenstein's problem 'Is there order an order in
[page 198]
the world a priori, and if so what does it consist in.' And the short answer I propose is tat from an algorithmic information theoretical perspective order is equivalent to low entropy and the universe began with zero entropy, therefore the world is a priori ordered.
This does not look good at first glance, but let us think in terms of an entropic metric applied to the transfinite numbers where gent.gent = δ something, ie at root the divine world has entropy zero because as fast as it complexifies in the observable domain it decomplexifies in the unobservable domain. Can we make this work with a transfinite complexity metric in the dynamic domain of the transfinite computer network where all the fixed points have duals, since all fixed point theorems are in effect transformations of the hypotheses of the proof into the conclusion of the proof, ie compact, convex etc etc = fixed point and this will work out in the complex domain of the transfinite Hilbert space. Sleep on it. This is the discovery I want as the universe complexifies absolute simplicity is not broken and this is why it is an intelligent mind, the mind of God. Insight is the inverse of complexification. Lonergan was on the track but never got there because the empirical residue rubbed out all the meaning in the 'proportionate universe'.
What I do like about myself is that I am always having brilliant ideas and no-one to tell them to but myself, but these days are coming to an end gcomplex . ginsight = δij
[page 199]
Absolute simplicity is not broken because fixed point theory simply attributes different frequencies to different points. Only one point is eternal, one point where 4-energy-momentum (action) is conserved. All the other fixed points like myself, are temporary, with a lifetime.
I have been thinking in terms of the classical world as a mundane, businesslike predictable thing but now we must introduce the spiritual, ethereal, diaphanous, divine beauty an capture the foundations in words which point to the sparkling beauty above. How do we deal with the entropy question? the requisite variety question? the reversibility question? the eternity question? All these things are one side of a duality. Whenever we make a mark we make a space, and the ark and the space add up to nothing, they sink back into the continuum. So the fixed point theorem couples marks to bounded spaces. Something has got to come of this, a new theology, a new vision of God which I have always wanted to cap off my life so to speak to pay for all the evil I have done.
Can we sort out the problems of quantum field theory by somehow building special relativity into Hilbert space before we put in the quantum theory (or vice versa) so as to avoid all the difficulties pointed out by Veltman, and having done that, can we build in general relativity and then introduce a transfinite dimensional Cantor space so as to create a space capable of representing all possible network computations in which we can let a process of natural selection loose to get the universe we now inhabit. Veltman: Diagrammatica: The Path to the Feynman Rules
They (Landauer) say erasure costs energy. But if we erase a mark we
[page 200]
erase the corresponding space and we are left with nothing, waiting to recreate the mark, so energy is conserved, entropy is increased and decreased. How do we get round this? By the reversibility of quantum mechanics. Marks are created by observation, what we are saying in effect is that the wave function does not collapse because all that superposited complexity represented by the putative infinity of solutions never existed [simultaneously] in the first place [but the solutions were time division multiplexed (orthogonalized) as the quantum wheel spun. Back to entanglement. Landauer: Irreversibility and Heat Generation in the Computing Process
'Nicole had been designed for change, for flight, with money for fins and wings.' Fitzgerald page 299
The mental grip. The physical grip. So what does physical mean? What does it mean to say that information is physical entity? Information can be erased. Physical entities can be erased. Potentials can be erased.
Another bridge too far, but cross it and you might get there, wherever 'there' is.
Tuesday 16 April 2019
When we replace Aristotle's axiom that no potential can actualize itself with the modern idea that potential being and actual being are exactly equivalent, we open a path to the idea that the expansion of the universe is reversible to that we can have a sequence initial singularity / fully expanded universe / initial singularity . . . which is consistent with Einstein's model and also quantum mechanics if we ignore the loss of unitarity involved in observation (apparently).
[page 201]
We are trying to reconcile 5 major spaces, cantor space, computer network space, brainspace, Riemann's space and Hilbert space. We must start with a definition of space in which time is also space.
General relativity addresses every event on the history of the universe as s generic event measured by energy. Now we need to address the meaning of every event, using Cantor's transfinite numbers [the meaning coming from the history of the event stretching back to the initial event].
We take the defining characteristic space as a region in which p and not-p can exist simultaneously. We can devise a transfinite Hilbert space through the recognition thatℵm is in fact orthogonal to ℵm, m ≠ n, so we can work from 2D Hilbert space to infinite and transfinite dimensional and understand the complexity of space to mean that it is dynamic, layer after layer of interacting circle groups, beginning with the circle on the complex plane and working up to the total universe. How does observation work in this system? We use the principle of finitism and begin with the EPR paradox as applied to electrons and photons, entanglement which reveals itself when we observe things, that is when we interact with them. Entanglement and the invisibility theorem.
I am gradually becoming more aware of the consequences of my assumptions, so now I have come to a purely dynamic universe, actus purus with transfinite fixed points and a range of frequencies running from zero to a machine infinity. Local fixed pointlike charged particles create local potentials which lead to more fixed points, all built, as Democritus would like to see, from atoms, but not atoms of matter but atoms of action.
[page 202]
Its a bit like singing or praying, saying the same thing over and over again. God maintains its absolute simplicity through its omniscience, seeing everything one one picture, rather like the manfold in which general relativity lives.
For the Greeks the search for truth is the search for how to live and my keystone is that we must see ourselves as gods living in a divine world that we we create ourselves - life is what you make it.
The same information is carried by the field and the particles. Measurement transforms the field information into particle information (creation). Annihilation transforms the particle information into field information each transformation being one energy-momentum conserving [quantum of] action.
All of our [written] knowledge comes in propositional form and any discipline may be summarized as a network of propositions. In the physical sciences our propositions are formulated as relationships between physical objects and frames of reference [also related to physical objects]. Newton worked out the dynamics of the solar system in the ancient frame of reference built from the axis of rotation of the Earth, the projection of the equator into the heavens and the intersection of this projection with the orbit of the Earth around the Sun. Due to the precession of the
[page 203]
Earth's axis, this 'first point of Aries' moves through a complete circle n some 26 000 years. Einstein faced the problem of devising a reference frame in which to describe the large scale structure of the Universe [with no obvious universal frame of reference] and came up with Riemann's geometry [and the relative motion of nearby geodesics, ie paths of freely falling particles] . . .. Ecliptic coordinate system - Wikipedia, Celestial coordinate system - Wikipedia
A quantum of action is a computation and so we might identify it with a Turing machine. The simplest such machine, which creates energy [from action] is the not operation, and not not is a digital representation of a full rotation of the circle group.
Wednesday 17 April 2019
What is the point of my thesis? Many ancient Greek philosophers were concerned to break the hold that the traditional Gods had over their contemporaries and so were concerned to produce models, like atomism, that showed that the working of the world was independent of the Gods. Here I am taking the opposite tack, identifying God with the observable world so that we can get a scientific grip on the nature of God through our study of the world. In the past the invisibility of the Gods has made it possible for writers of fiction to dream up all sorts of stories about who the gods are and what they want. These fictions have gained enormous political power over the past millennia and act as an enormous burden of falsehood on the collective human psyche, Here I am concerned to argue that the world revealed to us by science plays all the roles attributed to the gods and fulfills the whole space of possible being, thus making this the only possible world and neutralizing the idea that some god could have created another [perhaps] better world.
[page 204]
The world runs on transfinite dimensional music.
We have a number of spaces to unite and we want to unite them which means that we want something big enough to fit them all so we see if we can conceive of the transfinite computer network in terms of a Hilbert space, a differential manifold, a computer network and a mind. Said this before, see page 201.
Energy and momentum rotate in the same way as time and space. In music different frequencies are superposed by the structure of the instrument but down in the world of quantum mechanics there is no instrument to superpose the different frequencies but instead they are time division multiplexed, like the faces of a spinning die [seen from one point of view] and the frequency we see depends on the moment of observation as does the face of the die that we see [when it comes to rest]. Is this true, or just a plan to avoid the collapse of the wave function, but it does explain why we get the same result if we observe the system again immediately, like looking at a sitting die again.
Thursday 18 April 2019
In reality every symmetry is broken and so, as Brian says, we are all individuals. Nevertheless the symmetries are also real, and are the lower layers of the species / symmetry Homo sapiens. The fundamental symmetry is action, which extends from the actus purus traditionally called God to the individual actions or events which are elements of the divine life.
[page 205]
Actus purus undifferentiated action.
Feynman: Six Not So Easy Pieces Feynman
Back to the ancient view that circles are perfect: action, with the dimensions of angular momentum, is the basic conserved quantity in the universe. We can interpret both quantum mechanics, Lorentz transformation and general relativity in terms of rotation, and see it in the fundamental equation of quantum mechanics, E = ℏω, where ℏ comes in units of action and ω in units of angular velocity, ie inverse time. Time, energy and action are central to the divinity, eternity merely tells us that there are fundamental symmetries of action and energy. Space and momentum are the third layer, after action and energy - God - actus purus.
Feyman: Vectors exist independently of coordinate systems page 11.
Feynman page 12: Vectors work where we have linear transformations.
Berger page 13: 'God is dead". Yes, the old God is dead, but the new god is bursting with cosmic life, a creature of stars, supernovas and boundless energy. Peter Berger: A Rumor of Angels: Modern Society and the Rediscovery of the Supernatural
Epicurus and his scientific contemporaries worked to reduce the power of the old gods, but they made little progress and the boundless human taste for saviours, superheroes and shortcuts to bliss and prosperity guarantees the success of fictions like Christianity which offer an infinite reward (and infinite punishment) for a minimal program of beliefs and observances (or failure to adhere thereto). All this is so much easier
[page 206]
than actually working for a living and is a perennial implementation of the ruling class philosophy of using promises to gain the allegiance of large numbers of people to do all the work and peacefully pay taxes in the hope that the words of the ruler will guarantee peace and prosperity.
An important step forward is to reject a fundamental principle of traditional theology: that god is so far beyond us that we are completely unable to understand it. We can say nothing positive about it, only deny it incompatible features. We can see here an echo of the ancient (and modern) principle that it is a crime, treason, to question the absolute monarch. Kevin Corrigan and L. Michael Harrington (Stanford Encyclopedia of Philosophy): Pseudo-Dionysius the Areopagite
Friday 19 April 2019
It is very difficult to distill the political elements out of [religious] epistemology and vice versa. Political agents generally act with a purpose in mind and strive to convince their constituency that this purpose will be beneficial to them by controlling the information communicated to the constituency. This control has two phases. First, they need to control the sources of information by determining, for instance, which data the scientific departments of the government may collect. Second, they wish to control the dissemination of such dat as is collected by controlling the content and dissemination of such reports as are prepared on the basis of the data collected. We see this process taken to the extreme in the Catholic Church which has a history of silencing and even executing individuals who collect adverse data, and a history ofclaiming absolute control over what is regarded as true by claiming an infallible magisterium over all elements of its History of Salvation.
Saturday 20 April 2019
Feynman page 64: '. . . we see that events that occur in two separated places at the same time, as seen by M in S' do not happen at the same time as seen by J in S. ' This is universal phenomenon which depends on the speed of travel of the signal that informs 'as seen by', which in physics is the velocity of light
page 65: Lorentz transformation analogous to rotation, which conserves space-time intervals. This is the fundamental symmetry in space-time expressed by the rotation of 4-vectors.
The Lorentz transformation nullifies, in effect, the differences in relative velocities between inertial frames. We may think of space and time as formal and kinematic, and then we find that the 'underlying' energy and momentum are real and dynamic. This points to the fact that (in this case) words and meaning transform in the same way, so in a general way when I change the words in a sentence the meaning also changes. In the transfinite world of human communication this isomorphism is quite weak but in the simple world of space-time / momentum-energy it is precise.
[page 208]
Exponentiation is the key to reality. Complex exponents give is periodicity. Real exponents give us growth and decay.
So we ask: what is the theological frame of reference? Like Newton, many propose an arbitrary God outside the universe as the reference frame, but what if we take the Einstein view that the universe is divine and so its own reference frame? Vectors are frame independent as are their children, tensors, and this is where Einstein found himself when his friend Grossman gave him a hand. (Pais page 208 sqq). So what is the theological equivalent? In mathematics we saw that Turing anfdGödel had to go transfinite to get their results, building on Cantor's diagonal, subset and permutation arguments [so we think the answer to this question is a dynamic version of the Cantor universe, the transfinite quantum computer network built in a transfinitely layered Hilbert space]. Pais: Subtle is the Lord
Fixed point theory at the zeroth level: the whole space [of just one point] maps onto itself so f(x) = x trivially. This is the case with the procession of the Son from the Father.
How do electrons have children? By mapping onto themselves at zero distance there is zero phase change since zero delay so we get another electron, not infinite energy, as in the classical picture.
Network elimination of contradiction: I cannot talk to them, we simply do not relate.
The current $100 question is how does electromagnetism relate to phase and U(1) gauge symmetry [no-one seems to know, a good question to answer].
[page 209]
What I really need to know is how we get from gauge symmetry to electric force. One would think I should know this by now, but no. I want to understand it well enough to put it in a maths free way in my philosophical thesis to explain the electric world.
Symmetry in any layer points to an underlying structure which is the same in all manifestations of that layer, eg in all physical events energy is conserved points to a [mechanical] structure which explains the conservation of energy, which suggests that it is the result of a bifurcation which creates precisely equal amounts of positive and negative energy, just as the creation of charge creates precisely equal amounts of positive and negative charge [action underlies the energy bifurcation, what underlies the charge bifurcation? The photon?] But how do we understand positive and negative energy in the light of E = hf? When we add positive and negative energy we get 0, when we add phases shifted by π radians, ie eiθ + ei(θ + π) = 0. So we think potential energy is π out of phase with actual energy. Or maybe we have ±ℏ, ±ω [reversed frequency looks most likely].
Zero momentum means identical particles moving in opposite directions [with same velocity]. which is possible because space enables the existence of p and not-p, which space-time does as well, but is there a route to negative energy here? [energy is positive because it is a function of v2. Why? Demanded by dimensions?].
Elastic collision = reversible collision.
We might try moving the origin from which we measure energy so that given a certain E we can move the origin up E/2 so that half of it is negative and half positive, but this has no effect on E = hf [which is linear in frequency].
Very moody this evening. No wonder the ancients placed the mind in the chest/belly region.
