Theory of digital logic.

A logical version of the quantum harmonic oscillator, creating and annihilating photons of various frequencies. Not so much a logical version as a logical interpretation.

From metaphysics to mathematics. The world is a nest of bits of logical continuity communicating with one another at the ends ('string theory'), ie the inputs and outputs of computations.

CPU instructs memory to read out certain data and transforms this data into an output and determines where to write it in memory for future use.

All this writing is in some sense digital logic (even

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though it is semi 'running writing'. Each sentence exists in a space which is the tensor product of the spaces of each word, each word a product of the spaces of the letters and so on down to atoms and beyond.

Identical particles: indistinguishable events interfere. -- this has got something to do with symmetry - indistinguishability. Feynman 3-9.

Simple ==<> complex = linear to non-linear.

Linear means the output is linearly related to input. [continuity]
Non-linear

So we have linear and non-linear functions. Are the logical functions linear? They are completely defined by their truth tables, which are expressed in terms of discrete variables. In physics the 0 and the 1 are things, eg lights on / lights off, high / low voltage, current, pressure, temperature etc,. Things are conserved. The principle of conservation of of stuff. I lost my glasses in a few square metres of long grass. I know they are thee but I have not found them yet (partly because I do not like having to use them). I am moving to high intensity led light.

So the logic must be built on the conservation laws and symmetries of physics, using discrete states et spin up / down etc. It is the existence of discrete states that makes the whole thing possible, ie error free communication. A structure is a network. A stable structure is an error free network. Loneliness drives me on. I have to become visible enough to attract like minded people, but do

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not yet have the story distilled pure enough.

DISCRETENESS and LOGICAL CONTINUITY not
CONTINUITY and PHYSICAL CONTINUITY

On continuity. AJPhilosophy. John L Bell

Philosophical discussion is all about the logical continuioty of our concepts of the world. Nevertheless philosophers are inclined to attribute mere physical continuity to the physical world, even though it made us with our wonderful intelligence (quite often not).

Our society is founded on a set of denials: The World is not Divine, humanity ids not affecting geophysiology, we are not like the other animals, the world is not discrete, giving everyone guns and too much food does not lead to a nation of murderously obese people -- self destruction (apoptosis) in the face of existential despair: I am not fit to live. The fit to live are those who see themselves truly as fit to live.

How is a network linear = when it is pipework carrying a conserved current. Higher layers add meaning,. All the gates in a machine are fundamentally identical, distinguished by their place in the computational process.

The generally covariant processor can be loaded anywhere in memory and will offset all its address pointers accordingly. Motorola 6809. Motorola 6809 - Wikipedia

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General covariance depends upon the identity [universality] of all the processors, there is only one role and they can all play it. This is where thing are linear and simply add together as units. Quantum mechanics employs two orthogonal sets of units, the real and the complex. Additively they are identical, but multiplicatively they differ, since 1 × 1 = 1, i × i = −1.

What is the physical interpretation of multiplication? One way to look at it is that it is serial addition, but how can this account for i × i = −1? There is magic here which we cover up to some extent by seeing complex functions as two real functions, although the Cauchy-Riemann thing is a strong constraint, perhaps the fundamental constraint in the Universe (since it seems meaningless to speak of constraint when the Universe has only one degree of freedom, the march of time which is still with us behind all the complexity, the fundamental hardware, pure act. So we experience pure act as time. Do I mean this?

One can build a philosophy around the complex exponentials and the gamma function [continuous permutation].

We build analysis by building numbersm, first integralm, then rational, real, complex, vector, tensor . . . ? . . . Turing machine [a 'living' (immanent action) number]

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The magical quality of mathematics. The complex domain is perhaps the realm of possibility -- infinitely larger than the world of reality and so continuous with respect to this quantized model of actual messages and it is the possibilities encoded as complex exponentials that give structure to the world by establishing the probabilities of various events on the scale 0 (never) to 1 (always).

Mentally, I am about 2500 years old, born with Parmenides.

Feeling a bit decrepit half an hour ago, but much better now that I have written a few paragraphs that seem to help the general drift. Which is that the complex imaginaries serve to join the reals into a real Aristotelian continuum rather than the Cantor continuum of many points.

Complex numbers provide solutions where real numbers cannot, imaginary solutions, a bit like magic. Their widespread utility suggests that they truly tell us something about the Universe.

The reals are not continuous but they are plentiful.

Continuity requires duality like an overlapping chain.

Insofar as time is the Universal parameter, all physical equations are differentiated and integrated with respect to time. This is what we like about the Lagrangian.

So how do complex numbers embody continuity?

So what we are saying (as so many times before) is that

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we can understand the Universe correctly if we understand out own thought processes, and insofar as we misunderstand our own thought processes, we are liable to misunderstand the Universe.

I've been complex for a long time but now is the time to start getting real. How, p = φφ*, project the complex amplitude onto the real line.

Cartesian visualization, we give all the points coordinates thd then deal with the coordinate representations arithmetically / algebraically.

My life has followed a pretty constant trajectory. Apparently I was quite good at looking holy when I was a child, no matter what I was actually thinking, and the time is nearing when i might be able to project a similar image for my own enrichment and the good of the world as well.

We reinterpret physics as God's body.

How does the network distinguish bosons from fermions? Bosons are the messages, fermions the nodes, electron talks to electron via the photons which 'deform' the dynamics of the electrons, gauge theory.

Wednesday 25 July 2012

Thursday 26 July 2012

Time, eternity and pure act. Life is 'self motion'

motion is a sequence of states and the only way we can manage a sequence of states is in a time ordered series of fixed points. What is eternal about the Universe is that t is totally self contained, existing independently of anything 'outside' and has a fixed creative nature which accounts for its visible structure.

We go through Aquinas' treatise on God reinterpreting it in light of the hypothesis that the Universe is divine, beginning from the proof that the Universe is not divine (I, q2). Aquinas 13

We work on the assumption that we and the world exist, and that this existence is an attribute of God, whether the Universe is divne or not.

Each quantum mechanical matrix (eg Hamiltonian) represents a set of linear simultaneous equations whose solutions are a set of orthogonal eigenfunctions (eigenvectors) with which are associated eigenvalues of observable quantities. These eigenvalues are essentially signals that convey a real (and perhaps integral) number.

Eigenvectors are the vectors for which the operator is linear, ie Ax = ax, and these and these alone are selected for transmission from one quantum system to another. There are ℵ₀ eigenvectors, each representing one of the ℵ₀ Turing machines ie physically feasible computations (deterministic systems) are linear. Creativity and unpredictability come with indeterminism. Quantum mechanical systems are preconscious insofar as they do not have any memory in which to model themselves.

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Fixed points are linear, dynamic points non-linear (complex).

So two constraints on quantum mechanics, linearity and duality (complexity).

The Universe began as an idolated quantum system and will always be so, a linear superposition of time intervals ranging from 0 to ℵ₀. The only bounds are logical confinement.

Another axiom: a stable system must be error free. QWe live as long as we do not encounter a fatal error.

Layered strategy: fall back and reboot.

There is an atom, the quantum of action, and it manifests as energy, φ = e^iH

Friday 27 July 2012

Back to another old question: does spacetime apply to quantum amplitudes or is quantum theory prior to spacetime, spacetime being built on a quantum mechanical foundation? The latter approach would greatly simplify matters, since then we do not have to take special relativity 'inside' Hilbert space, with, as Veltman says, huge transformation in Hilbert space corresponding to the lorentz transformations outside it. I am motivated to the latter view, since Lorentz theory applies to all classical objects, no matter how big they may be, and quantum theory is self sufficient in the time / energy domain, without reference to space. When we bring

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mathematically continuous space inside quantum mechanics, we often end up taking the limit to zero spatial distances and the problem of infinities sets in. These are heuristic speculations and the proof of the idea must be in actual calculations based on applying the Lorentz transformation after the reduction of the wave packed. So off to Peskin and Schroeder in order to lean how to do such a calculation and come up with a definitive result which agrees with the observed data. Here lies the fundamental physical result that seems to be forced upon me every time I begin to argue that the Universe is divine. Somehow i am bound to my initial perception that a parallel reinterpretation of both physics and theology are required to produce a consistent model of God uniting both God's 'body'. studied by physics, with God's 'soul' studied by theology.

It is clear to me now that we can base the transfinite network model on a quantized signalling process such as we observe in the Universe at every scale, and which is capable of explaining everything we observe from the atomic scale on up. The task is to take this picture down to the initial singularity, so that it provides an explanation for all that we observe, given simply that the Universe exists as a quantum of action.. Dimensional analysis suggests that action and the velocity of light are the things we must talk about, and that the natural starting point must be spin , the simplest manifestation of action nicely closed and representable by periodic functions of time we call phase, e^it

h = ML²T⁻¹

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'Actus purus', now demoythologized to the quantum of action. The fundamental symmetry of the Universe,. Every event is a quantum of action. The ancients already know that the heart of the divinity is inherently dynamic, but they were puzzled by the presence of static structure in the dynamics. This puzzle is solved by fixed point theorems. Fixed point theorem - Wikipedia

CONTINUOUS - COMPLETE

What we would like to prove is that applying the Lorentz transformation after the collapse of the wave packet gives the same results as applying the Lorentz transformation to the amplitude.

Act like a peer of the Pope? Why not? Because authority in natural religion flows from divine nature, not Papal fiat

The physical continuity model of determinism (used in most calculus based calculations) is but a small fraction of the total number of logically deterministic processes. (?)

Like the special theory of relativity, i want my explanation of whatever to be so precise and accurate that no one can fault it, a sort of proof in other words. Can I do that? My experience so far has been rather discouraging, but I put that down to the distance between my idea and tradition rather than defects in the exposition, or maybe I am trying to get into the wrong genre.

All actions are observable insofar as action is an observation, that is, an act of communication, that is a coupled change of state in communicating entities.

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Feynman III, 4-3: 'Why is it that particles with half integral spin are Fermi articles whose amplitudes ass with a minus sign, whereas particles with integral spin are Bose particles whose amplitudes add with a positive sign? . . . An explanation has been worked out by Pauli from complicated arguments of quantum field theory and relativity. He has shown that the two must necessarily go together, but we have not been able to find a way of reproducing his arguments on an elementary level. It appears to be one of the few places in physics where there is a rule that can be stated very simply, but for which no one has a simple and easy explanation. . . . This probably means that we do not have a complete understanding of the fundamental principle involved.

Long title: Are quantum ampliotudes subject to Lorentz transformation or do such transformations only apply to observations? amplitude_lorentz

The standard assumption is that quantum field theories are functions whose domains are a continuous spacetime with a fixed maximum velocity and a signature 1, −1, −1, −1.

As i sit here, more or less immobile, time goes by. Any velocity may be substituted for c in Lorentz transformations. Time is real and you are always in it. Any space other than here is imaginary, reached by communication.

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Since a long time ago I have wanted to produce work that would be worth a Nobel Prize both for Physics and Peace (theology). Like J Caesar, I am ambitious, but unlike, pretty powerless to achieve my ambition. My only talent is steady persistence which might win out in a stochastic world.

Tomonaga's translator (Takeshi Oka) Preface: 'The existence of spin and the statistics associated with it, is the most subtle and ingenious design of Nature—without it the whole Universe would collapse.' (? gravitation)

Maybe the splitting of spin 1 (the whole quantum of action) into spin ±½ is a manifestation of the split into potential and kinetic energy, the opposite spin being the potential associated with the actual (kinetic) spin.

Tomonaga page 2: 'space quantization of angular momentum [a set of signals]. From this space quantization the Zeeman effect arises and a single energy level will split into 2k+1 levels in the presence of an external magnetic field. (However this notion will be gradually modified later).'

'In a transition, k changes only by ±1, and m changes by ±1 or 0.'

'radiant elelctron', 'core electrons'

page 3: Spectral terms are combinations of n, k, j and m.

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Every transition is both a changed of 1 qwuntum of a yion associated with a certain energy or momentum, the frequency or wave number of the line.

Digital philosophyDigital philosophy - Wikipedia

As I feel more secure in my belief, I feel more mellow. I do not hate the clergy who brought me up or the Church they worked for. I think they were wrong, but they acted on their beliefs and on the whole their hearts were probably in the right place. My trouble was more doctrinal than emotional, it seems that the good emotions were being evaded by false doctrine, the sort of thing governments use to keep their people docile, since it is cheaper than overt violence, although [some] may prefer violence because it is quite easy to understand. Kill the dissidents to keep the faith intact.

So my plan is to rebuild the doctrinal foundations of the Church in a way that will nudge its perception of doing good in the right direction, evidence based, free, democratic charity rather than the peculiar understanding of love and violence that inhabits a Church which prizes above all celibacy and martyrdom.

Most of the problems in the world come down to a lack of consistency between human institutions and human nature engendered, ultimately, but he potential to increase population, the creative potential which manifests as the Cantor force, the gradient toward increased entropy. Human groups have had to fight for the space in the human niche, some have succeeded better than other, the ones we have come to call the ruling class that enslave the rest for their own

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The flavour of what I am up against: Vatican Malachi Martin Martin

Saturday 28 July 2012