vol VII: Notes

2015

Notes

[Sunday 12 April 2015 - Saturday 18 April 2015]

[Notebook: DB 78: Catholicism 2.0]

[page 129]

Sunday 12 April 2015

The secrets of a sensuous child: a strong desire for naked contact, forbidden by the Church, but finding an outlet anyway every night in bed. Inhibited potential: sovereign control of the reproductive potential of the subjects. [its property, ie flock]

[page 130]

Catholic: sex is only for making babies.
Real: from the point of view of sexual bliss the babies are icing on the cake,

N and M are representing my childhood conception of bliss which ran up against a wall of mortal sin, a shock that took a long time to get over, but which has spawned some interesting philosophical [meditations].

Two dimensional spacetime operated by four dimensional wave function, two qubits.

The old approach is to disguise sensuality with violence, ie associating it with pain to offset the pleasure so that the net effect is neutral. The new heavenly approach is to accept that there can be pleasure without pain, that is pleasure without error, ie pleasure consistent with divinity, the pleasure that Aristotle atributes to the first mover [in Catholic terms the beatific vision]. Aristotle Metaphysics

The pleasures of Divinity (Eureka Street)

Aristotle Met XII: 'Our inquiry is concerned with substance: what is.

Aristotle distinguishes substance and accidents. We distinguish underlying process and measurement [observation].

Putting two qubits together has transfinite consequences.

Aristotle '[minds] thinking is a thinking of thinking. 1074 b 35.

Posner page 435: Benedict's papacy marked by victim mentality in the

[page 131]

Church. It will only be abe to hold up its head when it becomes an honest citizen, and to do this it has to drop all its pretensions to exclusive divine right and join the rest of us realists in science and democracy. Posner: God's Bankers

'The war with the media was proof that the secular powers were intent on waging a campaign of vilification against the Church . . . Instead of making Benedict angry with those who let him down, the public farces made him bitter and turned him away from what he saw as a hostile world. It reinforced his suspicious and conspiratorial view that there was no such thing as balanced reporting and that the news served a hidden agenda to somehow shake the faith of loyal catholics.

Monday 13 April 2015

Natural theology: 'magnum opus': 12 houses 3 hotels.

Moving from entropy (signature (1)) to 2 d spacetime (1, -1) introduces momentum and is analogous to the Holy Spirit in the Trinity. [a space (orbit) is a closed sequence of quanta of angular momentum]

Invariants (fixed points) in higher layers are inherited from lower layers, ie the initial singularity is the first parent and all the other layers are its children and its children's children.

We imagine Lorentz invariance to be the essence of our (1, -1) space where everything moves at c so there is no time and no spatial extension. Lorentz invariance is based on the invariance of the velocity of light which is a classical consequence of Maxwell's equations. [Maxwell's equations predict that the velocity of light in a vacuum is c = 1 / √ (μ₀ ε₀), where μ₀ is the permeability of the vacuum and ε₀ is its permittivity.] Maxwell's equations - Wikipedia

[page 132]

Somehow we want to fit together h, c,spin, Lorentz transformation, spin matrices, Dirac equation etc etc. If only I understood a word of it. Also gravitation, standard model, etc [the network model is my attempt to understand all this]

Lorentz invariance is a consequence of (-1, 1, 1, 1) metric and universal velocity of light c.What invariance is based on ℏ? c connects time and distance, also energy and momentum which transform is the same way as space and time.

Energy = mv² = ML²T^-2
Angular momentum = mc.r = ML²T^-1, ie energy.time, ML²T^-2.T.

We are trying to take the view that space-time, through its relationship to momentum-energy is dynamic, part of reality, not just the field on which reality is played. It is our interface with the invisible divine dynamics.

The only constraint on God is not-being, ie local contradiction. In a spatially extended world we can have local contradiction without global contradiction, what amounts to a hole in the global process, an error leading to an annihilation.

What we are doing is adding stationary points layer by layer. Here I rattle all the bits around until they fall into place creating a new consistent (and so potentially existent) formalism, Can the (1, -1) space exist? Yes, it is consistent. Does it exist? Yes, if it is consistent with observation.

Tuesday 14 April 2015

Spacelike separation introduces independence which

[page 133]

means operators which commute, enabling two parameters to be observed independently.

How do we build up from a hydrogen atom to World War II?

Why are there fermions and bosons? Because a) it is possible and b) they are a stable spanning set of the operations necessary to construct a stable network, The system needs no more, no less than attraction and repulsion as reflected in the statistics.

We observe the world through a set of discrete events and the relative rate of occurrence of these events. How do we connect ℏ and c? On the assumption that ℏ is more primitive (but it has the most complex dimension (ML²T^-1) of the fundamenta constants (gravitation?). Faith: stick to the digital/frequncy methodology.

In a complete space nothing takes you outside, like a group. There is an endpoint in the space for every operation: very interaction leads to a result within the space.

Pauli explained spin in terms of relativity. We can also explain relativity in terms of spin. Spin in 2D - the spatial dimension is topologically closed, ie a circle with not way out (because at this point it is the only spatial dimension and space and time are coupled by c).

Frequency and identity (binning, form) are all that we observe in quantum theory.

A particle is fundamental when it cannot interact without annihilation, like a photon.

[page 134]

The inputs to a two input device must be simultaneously observable, ie their observables commute, they are at a spacelike distance. The origin of space is the origin of spaclike distance, inflation.

SPACELIKE SEPARATION = INDEPENDENCE (a degree of freedom)

Complexification: addition of new degrees of freedom.

There is no outside constraint so all possibilities are equiprobable at each cardinal level [until they start communicating with one another then some are chosen, the E-property Khinchin].

An image of heaven: women in the throes of bliss; hell childbirth (pains of)

Relaxation, the path toward equilibrium, where love and strife are balanced back to unity [potential: love vs strife: tension, excitement].

We have two paths: unity to duality; duality to unity [creation and annihilation] (a two input one output device. One input two outputs, an amplifier for the input state T [true] —> TT.

Oscillation between kinetic and potential, moving and stationary, non-observable and observable, hidden processes and observable result [ie particle, message] all miraculously represented by the imaginary and real axes of the complex plane. Next step energy to momentum we work in the tensor product of two complex planes and find an interpretation of what is going on in the Hilbert space as a space of angular momentum, something rotating in space with a clock [orbit, circuit, circulation, a closed dimension].

[page 135]

The most profitable critique is to build a better one.

Tapsell page 99: 'The success of the de facto revival of the 'privilege of clergy' depended on secular society not knowing about it. Tapsell: Potiphar's Wife

Tapsell page 136: 'The wheels have really fallen off a legal system when it needs the consent of criminals to strike them off the rolls of their profession and to deprive them of the income paid by the very institutions they betrayed.

Absurd as it sounds, I need to carry this project through to completion to see if it is consistent with itself, We allow no outside creator, so our heuristic principle is to imagine the least constrained system we can imagine for each cardinal number of dimensions, ie each layer number.

A big question from a while ago is does the Lorentz transformation work inside the Hilbert space as Veltmann seems to be saying, or do Lorentz transformations only apply to observables [in 4D space-time], fixed points that are the outputs of invisible computations in the Hilbert space, which we interpret to be the invisible element of the network.So we want out (1, -1) space to model Maxwell's equations? Veltman: Diagrammatica, the Path to the Feynman Rules, Chapter 2: Model, page 6: Invisibility

Algebra of physical space maybe needs 3 qubits?

We cannot apply Lorentz transformation to Hilbert space in quantum mechanics because it operates prior to real space [there is no delay. no memory].

Wednesday 15 April 2015

[page 136]

A closed dimension defines a fixed point. One cannot move forever in a closed space without doing a circuit. Depend son the entropy of the space. Poincare recurrence theorem - Wikipedia

Thursday 16 April 2015

Streater and Wightman 1980 Introduction: In the beginning, when Dirac, Jordan and Pauli created the quantum theory of fields, it was not expected that it could provide a consistent description of nature . . . ' Streater & Wightman

'The first chapter contains a summary of the transformation properties of physical states in relativistic quantum mechanics.

Does the Lorentz transformation see unobservable state vectors or [only] observable particles?

Space does provide an invariant background to motion , so we assume that it is the realization of a fixed algorithm that must have something to do with relativity, special and general. The general theory revolves around the metric as a fixed point. According to Mach, the metric is a fixed point given a value by the overall structure of the Universe. Mach's principle - Wikipedia

God, a mystical creature totally in love with itself. Jerome Gellman: Mysticism

But the church is afraid of the orgasm, the constitutional experience of the species. Perhaps because it is finite. Can the beatific vision be a permanent orgasm? Probably bit, since it would get boring.

[page 137]

Feynman and Weinberg page 78: '. . . it is widely believed that it is impossible to reconcile quantum mechanics and relativity except in the context of a quantum field theory. A quantum field theory is a theory in which the fundamental ingredients are fields rather than particles. [In our model the fundamental ingredients are turing machines.] Feynman

I am getting a bit senile and deluded, still hoping to achieve a significant theological breakthrough although it may be a forlorn hope Nevertheless my faith in the fundamenta proposition remains unbreakable, the Universe is divine. Now we are following the course worked out by the Trinity to a transfinitely complex kinematic structure of fixed points embedded in the divine dynamics.

Feynman page 2: '. . . the crucial idea to wed quantum mechanics and relativity together was the existence af antiparticles.

page 4: 'I am going to go back further to Maxwell's 'gear wheels' and try to tell you as best I can a way of looking at these things so that they appear not so mysterious.' Which is what the network model is meant to do to take advantage if our intuitive understanding of networks, particularly gossip networks.

Friday 17 April 2015

Weinberg page 72: 'Quantum mechanics is not itself a dynamical theory. it is an empty stage.

Page 73: 'I would like to suggest something here that I am not really certain about but which is at least a possibility: that specifying the symmetry group of nature may be all that we need to say about the world beyond the principles of quantum mechanics.

[page 138]

Weinberg page 72: 'A symmetry principle is a statement that there are various ways you can change the way you look at nature which actually change the direction of the state vector is pointing, but do not change the rules about how the state vector rotates with time,' So since the action of a measurement depends on the relative angle of the state vectors a symmetry transformation does nothing.

I always have the fear that I will not be abe to pull my life's work off. Have no choice but to keep going. [Another fool with a theory of everything. It is an exciting trip, but so far from anything else that it is a bit scary.] Ambrose Bierce: Fool

Given our heuristic position vis a vis addressing we assume that every particle in the observational tree can be addressed by the sequence of branchings between it and the root. There are trees standing before my very eyes, a root system and a leaf system (material system and energy system) coupled through the trunk with its two way flows.

Feynman page 12: Spin-zero particles and Bose statistics: 'The centrla idea is that we start with any state and act on it with any set of disturbances, then the probabilities of ending up in all possible states must add up so 1.' (Σ_i p_i = 1, a source). Ie the disturbances / observations must be represented by unitary operators.

What we think we are trying to do is to give a digital realization of [a quantum field theory]. [We are supported in this by Boltzmann's entropy calculation in which every possible ordering of all the particles in a gas are individually counted to arrive at the entropy, a very high degree of resolution].

Complex numbers may help to solve problems like finding the roots of cubic equations, but while they are useful in the

[page 139]

process, they do not appear in the answer [like invisible processing]. Complex numbers represent potentials whch determine the probability of events, so a irresistible potential is realized with probability 1, a dictator gets its way = Turing machine and determinism. Complex number - Wikipedia

Saturday 18 April 2015

There is one open process in the Universe, complexification [creation, the attribute of God]. All others are cyclic, describable at their most abstract by the circle group and in more complex spaces by the groups of Hilbert spaces.

Non-relativistic quantum mechanics predates the emergence of [metric] space [since there is no distance t give velocity]

Each layer of the transfinite network is a [permutation] group, starting with the binary circle group {0, 1} and moving up through the transfinite universe. . . .

Things come easily in the abstract. The devil is in the detail, but the detail comes from combinations of the alphabet The core of theology is to couple everything to the ineffable one which is so dimple even a child could understand it. In ordinary life, it is the passage of time without awareness, when we are invisible to ourselves because all our perceptions are occupied elsewhere.

At the circle group level, there is nothing t define frequency, so we imagine all countable frequencies are represented (or uncountable??) in a linear fashion. This, considered uncountable, is the space of probability theory. Kolmogorov: Foundations of the Theory of Probability

It is my lustful nature that is driving this project. I want t have sex with God, the beatific vision, carnal knowledge. Information is physical. The ancient monotheists dephysicalized God by

[page 140]

inventing spiritual beings. In other words they hypostatized formalism and so escaped from the physical reality of reality into an abstract fairyland.

We are motivated by excitement, just like quantum field theory.

Feynman page 22: '. . . the field mode harmonic oscillators, when quantized, automatically imply a representation of Bose particles.

Field is not a mysterious influence pervading space, but locally embodied algorithms.

We represent a network as a group.

Phase factor Feynman 57-59.

First few layers of the Universe correspond to the groups SU(1) to SU(3). Special unitary group - Wikipedia

Copyright:

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Further reading

Books

Click on the "Amazon" link below each book entry to see details of a book (and possibly buy it!)

Aristotle, and P H Wickstead and F M Cornford, translators, Physics books V-VIII, Harvard University Press,William Heinemann 1980 Introduction: 'Simplicius tells us that Books I - IV of the Physics were referred to as the books Concerning the Principles, while Books V - VIII were called On Movement. The earlier books have, in fact, defined the things which are subject to movement (the contents of the physical world) and analyzed certain concepts - Time, Place and so forth - which are involved in the occurrence of movement.' Book V is a further introduction to the detailed analysis in Books VI - VIII. Book VI deals with continuity, Book VII is an introductory study for Book VIII, which brings us to the conclusion that all change and motion in the universe are ultimately caused by a Prime Mover which is itself unchanging and unmoved and which has neither magnitude nor parts, but is spiritual and not in space.'  Amazon   back

Aristotle, and (translated by P H Wickstead and F M Cornford), Physics books I-IV, Harvard University Press, William Heinemann 1980 Introduction: 'The title "Physics" is misleading. .. "Lectures on Nature" the alternative title found in editions of the Greek text, is more enlightening. ... The realm of Nature, for Aristotle, includes all things that move and change ... . Thus the ultimate "matter" which, according to Aristotle, underlies all the elementary substances must be studied, in its changes at least, by the Natural Philosopher. And so must the eternal heavenly spheres of the Aristotelean philosophy, insofar as they themselves move of are the cause of motion in the sublunary world.'  Amazon   back

Feynman, Richard P, and Steven Weinberg, Elementary Particles and the Laws of Physics: The 1986 Dirac Memorial Lectures, Cambridge University Press Jacket: Perhaps the two most important conceptual breakthroughs in twentith century physics are relativity and quantum mechanics. Developing a theory that combines the two seamlessly is a difficult and ongoing challenge. This accessible book contains intriguing explorations of this theme by the distinguished physicists Richard Feynman and Steven Weinberg. Richard Feynman's contribution examines the nature of antiparticles, and in particular the relationship between quantum spin and statistics. In his essay, Steven Weinberg speculates on how Einstein's theory of gravitarion might be reconciled with quantum theory and the final laws of physics.'  Amazon   back

Huang, Kerson, Statistical Mechanics, John Wiley 1987 'Preface: ... The purpose of this book is to teach statistical mechanics as an integral part of theoretical phyiscs, a discipline that aims to describe all natural phenomena on the basis of a single unifying theory. This theory, at present, is quantum mechanics. ... Before the subject of statistical mechanics proper is presented, a brief but self contained discussion of thermodynamics and the classical kinetic theory of gases is given. The order of this devlopment is imperative, from a pedagogical point of view, for two reasons. First, thermodynamics has successfully described a large part of macroscopic experience, which is the concern of statistical mechanics. It has done so not on the basis of molecular dynamics but on the basis of a few simple and intuitive postulates stated in everyday terms. If we first falimiarize ourselves with thermodynamics, the task of statistical mechanics reduces to the explanation of thermodynamics. Second, the classical kinetic theory of gases is the only known special case in which thermodynics can be derived nearly from first principles, ie, molecular dynamics. A study of this special case will help us to understand why statstical mecahnics sorks.'  Amazon   back

Kolmogorov, A N, and Nathan Morrison (Translator) (With an added bibliography by A T Bharucha-Reid), Foundations of the Theory of Probability, Chelsea 1956 Preface: 'The purpose of this monograph is to give an axiomatic foundation for the theory of probability. . . . This task would have been a rather hopeless one before the introduction of Lebesgue's theories of measure and integration. However, after Lebesgue's publication of his investigations, the analogies between measure of a set and mathematical expectation of a random variable became apparent. These analogies allowed of further extensions; thus, for example, various properties of independent random variables were seen to be in complete analogy with the corresponding properties of orthogonal functions ... '  Amazon   back

Peskin, Michael E, and Dan V Schroeder, An Introduction to Quantum Field Theory, Westview Press 1995 Amazon Product Description 'This book is a clear and comprehensive introduction to quantum field theory, one that develops the subject systematically from its beginnings. The book builds on calculation techniques toward an explanation of the physics of renormalization.'   Amazon   back

Posner, Gerald, God's Bankers: A History of Money and Power at the Vatican, Simon & Schuster 2015 'From a master chronicler of legal and financial misconduct, a magnificent investigation nine years in the making, this book traces the political intrigue and inner workings of the Catholic Church. Decidedly not about faith, belief in God, or religious doctrine, this book is about the church’s accumulation of wealth and its byzantine entanglements with financial markets across the world. Told through 200 years of prelates, bishops, cardinals, and the Popes who oversee it all, Gerald Posner uncovers an eyebrow-raising account of money and power in perhaps the most influential organization in the history of the world.'  Amazon   back

Streater, Raymond F, and Arthur S Wightman, PCT, Spin, Statistics and All That, Princeton University Press 2000 Amazon product description: 'PCT, Spin and Statistics, and All That is the classic summary of and introduction to the achievements of Axiomatic Quantum Field Theory. This theory gives precise mathematical responses to questions like: What is a quantized field? What are the physically indispensable attributes of a quantized field? Furthermore, Axiomatic Field Theory shows that a number of physically important predictions of quantum field theory are mathematical consequences of the axioms. Here Raymond Streater and Arthur Wightman treat only results that can be rigorously proved, and these are presented in an elegant style that makes them available to a broad range of physics and theoretical mathematics.'  Amazon   back

Tapsell, Kieran, Potihar's Wife: The Vatican's Secret and Child Sexual Abuse, ATF Press 2014 Back cover: 'For 1500 years the Cathilic Church acepted that clergy who sexually abused children deserved to be stripped of theur status as priests and then imprisoned. . . . That all changed in 1922 when Pope Pius XI issues his decree Crimen Sollicitationi that created a de facto 'privilege of clergy' b imposing the 'secret of the Holy Ofice' on all infomration obtained through the Church'd canonincal investigations. If the State did not knw abut these crimes, then there would be n State trials, and the matter could be treated as a ourely canonical crime to be dealt with in secret in the Church courts..  Amazon   back

Veltman, Martinus, Diagrammatica: The Path to the Feynman Rules, Cambridge University Press 1994 Jacket: 'This book provides an easily accessible introduction to quantum field theory via Feynman rules and calculations in particle physics. The aim is to make clear what the physical foundations of present-day field theory are, to clarify the physical content of Feynman rules, and to outline their domain of applicability. ... The book includes valuable appendices that review some essential mathematics, including complex spaces, matrices, the CBH equation, traces and dimensional regularization. ...'  Amazon   back

Links

Ambrose Bierce, Devil's Dictionary sv Fool, 'FOOL, n. A person who pervades the domain of intellectual speculation and diffuses himself through the channels of moral activity. He is omnific, omniform, omnipercipient, omniscience, omnipotent. He it was who invented letters, printing, the railroad, the steamboat, the telegraph, the platitude and the circle of the sciences. He created patriotism and taught the nations war— founded theology, philosophy, law, medicine and Chicago. He established monarchical and republican government. He is from everlasting to everlasting— such as creation's dawn beheld he fooleth now. In the morning of time he sang upon primitive hills, and in the noonday of existence headed the procession of being. His grandmotherly hand was warmly tucked-in the set sun of civilization, and in the twilight he prepares Man's evening meal of milk-and-morality and turns down the covers of the universal grave. And after the rest of us shall have retired for the night of eternal oblivion he will sit up to write a history of human civilization.' back

Aristotle Metaphysics, Metaphysics XII, vii, 9: 1072 b 25sqq, 'If, then, the happiness which God always enjoys is as great as that which we enjoy sometimes, it is marvellous; and if it is greater, this is still more marvellous. Nevertheless it is so. Moreover, life belongs to God. For the actuality of thought is life, and God is that actuality; and the essential actuality of God is life most good and eternal. We hold, then, that God is a living being, eternal, most good; and therefore life and a continuous eternal existence belong to God; for that is what God is.' back

Complex number - Wikipedia, Complex number - Wikipedia, the free encyclopedia, 'IA complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, which satisfies the equation i2 = −1. In this expression, a is the real part and b is the imaginary part of the complex number. Complex numbers extend the concept of the one-dimensional number line to the two-dimensional complex plane (also called Argand plane) by using the horizontal axis for the real part and the vertical axis for the imaginary part.' back

Jerome Gellman, Mysticism (Stanford Encyclopedia of Philosohy), 'The term ‘mysticism,’ comes from the Greek μυω, meaning “to conceal.” In the Hellenistic world, ‘mystical’ referred to “secret” religious rituals. In early Christianity the term came to refer to “hidden” allegorical interpretations of Scriptures and to hidden presences, such as that of Jesus at the Eucharist. . . . Typically, mystics, theistic or not, see their mystical experience as part of a larger undertaking aimed at human transformation . . . and not as the terminus of their efforts. Thus, in general, ‘mysticism’ would best be thought of as a constellation of distinctive practices, discourses, texts, institutions, traditions, and experiences aimed at human transformation, variously defined in different traditions. back

Mach's principle - Wikipedia, Mach's principle - Wikipedia, the free encyclopedia, 'In theoretical physics, particularly in discussions of gravitation theories, Mach's principle (or Mach's conjecture[1]) is the name given by Einstein to an imprecise hypothesis often credited to the physicist and philosopher Ernst Mach. The idea is that the local motion of a rotating reference frame is determined by the large scale distribution of matter, as exemplified by this anecdote: You are standing in a field looking at the stars. Your arms are resting freely at your side, and you see that the distant stars are not moving. Now start spinning. The stars are whirling around you and your arms are pulled away from your body. Why should your arms be pulled away when the stars are whirling? Why should they be dangling freely when the stars don't move?' back

Maxwell's equations - Wikipedia, Maxwell's equations - Wikipedia, the free encyclopedia, 'In classical electromagnetism, Maxwell's equations are a set of four equations that describe the properties of the electric and magnetic fields and relate them to their sources, charge density and current density. Maxwell used the equations to show that light is an electromagnetic wave.' back

Poincare recurrence theorem - Wikipedia, Poincare recurrence theorem - Wikipedia, the free encyclopedia, 'In mathematics, the Poincaré recurrence theorem states that certain systems will, after a sufficiently long but finite time, return to a state very close to the initial state. The Poincaré recurrence time is the length of time elapsed until the recurrence (this time may vary greatly depending on the exact initial state and required degree of closeness). The result applies to isolated mechanical systems subject to some constraints, e.g., all particles must be bound to a finite volume. The theorem is commonly discussed in the context of ergodic theory, dynamical systems and statistical mechanics.' back

Special unitary group - Wikipedia, Special unitary group - Wikipedia, the free encyclopedia, 'In mathematics, the special unitary group of degree n, denoted SU(n), is the group of n×n unitary matrices with determinant 1. The group operation is that of matrix multiplication. The special unitary group is a subgroup of the unitary group U(n), consisting of all n×n unitary matrices, which is itself a subgroup of the general linear group GL(n, C). The SU(n) groups find wide application in the standard model of physics, especially SU(2) in the electroweak interaction and SU(3) in QCD.' back