vol VII: Notes

2016

Notes

Sunday 10 January 2016 - Saturday 16 January 2016

[Notebook: DB 79: Galileo Wins]

[page 190]

Sunday 10 January 2016

Ultimately natural theology will prevail when it is presented as a good story, ie an alternative and convincing fiction with strong coupling to common human experiences, particularly those associated with death and reproduction. Christianity has effectively reduced the dynamic range of reproduction by severely contracting permissible reproductive behaviour and denying the reality of death.

Dumas, Nutcracker Dumas: The Story of a Nutcracker

The control system implemented by the Catholic Church is not complete in a mathematical sense since it simply rejects 'errors' (sins) by attributing them to the Fall without giving much thought to the correction of errors by understanding and debugging the system which generates them.

All the mathematics of civil engineering works in differentiable manifolds, whereas software engineering is bounded only by the limits to deterministic mathematics [delineated by Gödel and Turing]. Kurt Goedel 1, Alan Turing

[page 191]

I'm thinking this project has been a big jigsaw. I did the easy edges when I was in the Dominicans. Then I spent about 45 years trying to fill the picture in. Now I seem to be getting near the end so the pieces fal into place more quickly and the end is in sight.

Maybe the world is ready for scientific theology.

The computer network is s space in which we can answer all the answerable questions that arise in our lives, that is it is both a guide to action and an explanation of the actions we see around us.

Feynman path integral is a selection method that extracts a computable result from a transfinite set of possibilites. Selection operates on phase, ie 2D numbers.

Is the boson / fermion division a product of clocking? Bosons complete an operation in one cycle of phase, Fermions split this one cycle into 2 by performing a not operation for π of phase and not-not for 2π, thus somehow contributing to the construction of space, ie (?) 2 cycles, one quantum of action.

Abdullah Sahin Abdullah Sahin: Let's tap into Islam's heritage of critical education to defeat extremism in schools

Monday 11 January 2016

Tuesday 12 January 2016

One can feel rather inadequate and quite possibly mistaken in opposing an ancient and powerful organization like the Church, but it must be done of a major theological error is to be corrected.

Wednesday 13 January 2016

Is the explanation above too simple (cf boson and fermion)? Traditional explanations seem more complex because they introduce special relativity in 4D space-time and the complexity and continuity of the wave function, If it is true that the boson - fermion distinction predates [underlies] continuous 4-space, the simple explanation might hold and we can consider it an implementation of not We can say that -Ψ is not-Ψ as a particular example of Ψ* is not-Ψ.

My first marriage (ie total commitment) was to the Church in the form of [solemn profession in] the Dominican order, and its breakdown has dominated my life ever since. To a strong degree this breakdown has modulated my commitment to the subsequent relationships that yielded my children. After being single for 18 years, most of this dysfunction has been resolved and I feel whole again after being split in two by the vast gulf between Catholic dogma and reality. I particular I am now happy to publicly defend scientific theology whereas in the past I have kept quiet about my ideas because the scientific community tends to discount theology in the same way that [Catholicism discounts science]. My goal is to make science and theology one again with the hypothesis that god and the universe are the same reality, communication with one is communication with the other.

PERMUTATION = NOT

Insofar as a permutation does not change the probability of an event it is a symmetry, that is a set of states all mutually distinct (Ψ₁ is not Ψ₂) but [are] nevertheless states of a certain type, that is all instances of the same algorithm = symmetry.

[page 195]

One fixed point - God
Two fixed points Father / Son interacting by Spirit fermion - boson = fermion

How do fermions communicate to implement the exclusion principle?

Thursday 14 January 2016

Polishing - rendering a surface observationally continuous by removing granulations larger than the resolution of the observer. Polishing yields smooth surfaces in space-time, so we can see it inducing smooth motion in the time domain as well as space.

Relativistic transformations require that both space and time be either continuous or discrete, and the requirement for discretion places constraints on possible transformations and makes the search for valid transformations a search for diophantine / logical equations. Diophantine equation - Wikipedia, Chaitin: Algorithmic Information Theory

Matiyasevitch theorem [MRDP theorem]. Hilbert's tenth problem - Wikipedia

Diophantine analysis: finding proofs of theorems, since the symbols used in any proof are effectively integers and the burden of the proof is carried by the meanings we attribute to the symbols.

The logical approach to physics adds new degrees of freedom which may be used to more closely model the phenomena, as Kepler did by introducing elliptical rather than circular orbits for planets. Johannes Kepler - Wikipedia

[page 196]

Insight: out of the blue come diophantine equations. Last read Chaitin on algorithmic information theory in about 1988. Now it looks like a means to pick out (select) the countable processes (computable processes) of the universe from the uncountable possibilities.

The fundamental diophantine equation x = integer / symbol / packet / entity orthogonal to all the others.

We might take 'orthogonal' as the most generally appropriate term for formal and practical independence, eg North is orthogonal to East etc. Orthogonality is a sine qua non for error free communication.

Can we say that fundamentally the world works by voting, that is entropy, the count of states which revolves around the simple arithmetic of adding 1.

Quanta of action are units which are controlled by the simple arithmetic of addition and subtraction.

Quantum mechanics predicts the frequencies of discrete events which are themselves products of discrete events So while the evernts themselves may be represented by integers, frequencies, being ratios of integers, may be rational or (in the limit) real [numbers].

Arthur Schopenhauer: 'All truth passes through three stages. First, it is ridiculed. Second, it is violently opposed. Third it is accepted as being self-evident. (false attribution?) Shallit Jeffrey Shallit: Science, Pseudoscience and The Three Stages of Truth

[page 197]

A few more drops of blood out of the old stone.

Friday 15 January 2016

Saturday 16 January 2016

Gödel numbering shows that all computable strings can be mapped to the integers, so coupling computation and diophantine mathematics. Chaiting again. Must read Algorithmic IT again.

My power comes from my communication of ideas, to things, animals (mainly dogs) and people.

I think my interaction with the Roman Catholic Church has had the effect of making me somewhat 'inauthentic'', because how can a mere child meaningfully challenge a 2000 year old organization with a billion members. Now I recognize that such a challenge is possible and carries a growing probability of success as I add to my apparent momentum by coupling myself to reality. This is the power of scientific theology in the face of politically motivated fiction.

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!)

Chaitin, Gregory J, Algorithmic Information Theory, Cambridge UP 1987 Foreword: 'The crucial fact here is that there exist symbolic objects (i.e., texts) which are "algorithmically inexplicable", i.e., cannot be specified by any text shorter than themselves. Since texts of this sort have the properties associated with random sequences of classical probability theory, the theory of describability developed . . . in the present work yields a very interesting new view of the notion of randomness.' J T Schwartz  Amazon   back

Dumas, Alexandre, and Sarah Ardizzone (translator), The Story of a Nutcracker, Vintage Classics 2015 ' "For all its darkness, [The Nutcracker] appeals to parents and their children because it's like one of those glowing glass globes that you can shake and see the snow swirl. It's a dream bubble, a vision of middle-class happiness and fantasy that precedes the Russian Revolution and all the horrors of the last century and this one. That world may have faded, but it is still our sweetest dream." (New York Times) '  Amazon   back

Grandin, Temple, Emergence: Labeled Autistic, Warner Books 1996 Amazon Product Description 'A true story that is both uniquely moving and exceptionally inspiring, Emergence is the first-hand account of a courageous autistic woman who beat the odds and cured herself. As a child, Temple Grandin was forced to leave her "normal" school and enroll in a school for autistic children. This searingly honest account captures the isolation and fears suffered by autistics and their families and the quiet strength of one woman who insisted on a miracle.'  Amazon   back

Grandin, Temple, Thinking in Pictures, Expanded Edition: My Life with Autism , Vintage 2006   Amazon   back

Khinchin, Aleksandr Yakovlevich, Mathematical Foundations of Information Theory (translated by P A Silvermann and M D Friedman), Dover 1957 Jacket: 'The first comprehensive introduction to information theory, this book places the work begun by Shannon and continued by McMillan, Feinstein and Khinchin on a rigorous mathematical basis. For the first time, mathematicians, statisticians, physicists, cyberneticists and communications engineers are offered a lucid, comprehensive introduction to this rapidly growing field.'  Amazon   back

Papers

Yus, Eva, et al, "Impact of Genome Reduction on Bacterial Metabolism and its Regulation", Science, 326, 5957, 27 November 2009, page 1263-1268. 'To understand basic principles of bacterial metabolism organization and regulation, but also the impact of genome size, we systematically studied one of the smallest bacteria, Mycoplasma pneumoniae. A manually curated metabolic network of 189 reactions catalyzed by 129 enzymes allowed the design of a defined, minimal medium with 19 essential nutrients. More than 1300 growth curves were recorded in the presence of various nutrient concentrations. Measurements of biomass indicators, metabolites, and 13C-glucose experiments provided information on directionality, fluxes, and energetics; integration with transcription profiling enabled the global analysis of metabolic regulation. Compared with more complex bacteria, the M. pneumoniae metabolic network has a more linear topology and contains a higher fraction of multifunctional enzymes; general features such as metabolite concentrations, cellular energetics, adaptability, and global gene expression responses are similar, however.'. back

Links

Abdullah Sahin, Let's tap into Islam's heritage of critical education to defeat extremism in schools, 'The heart of the problem is the predominance of an indoctrinatory approach to learning and teaching about Islam. This confines Islamic education to uncritical transmission of a revered set of texts. This form of Islamic education is exploited by extremist recruiters in both majority and minority Muslim societies. Islam has a rich heritage of critical education and shares with Abrahamic faiths the prophetic educational teachings that call for continuous self-examination, so that the faithful remain balanced in their religious observance.' back

Alan Turing, On Computable Numbers, with an application to the Entscheidungsproblem, 'The "computable" numbers may be described briefly as the real numbers whose expressions as a decimal are calculable by some finite means. Although the subject of this paper is ostensibly the computable numbers, it is almost equally easy to define and investigate computable functions of an integral variable of a real or computable variable, computable predicates and so forth. . . . ' back

Anthony Lane, David Bowie in the Movies, 'What David Bowie knows now, and what Narnia awaits him in the wardrobe, none can tell. But his life, unlike most lives, had the shape and the refulgence of a movie, and we can watch it again and again.' back

Bevan Shields, Spin doctors and marketing gurus cleap up with taxpayer-funded advertising, 'Spin doctors, market researchers and advertising gurus are cleaning up from taxpayer-funded government advertising, reaping tens of millions of dollars before an ad even appears on televisions or in newspapers. In some cases, three-quarters of the total bill for "public information campaigns" has gone towards the creative process.' back

David Brooks, The Brutalism of Ted Cruz, 'The case reveals something interesting about Cruz’s character. Ted Cruz is now running strongly among evangelical voters, especially in Iowa. But in his career and public presentation Cruz is a stranger to most of what would generally be considered the Christian virtues: humility, mercy, compassion and grace. Cruz’s behavior in the Haley case is almost the dictionary definition of pharisaism: an overzealous application of the letter of the law in a way that violates the spirit of the law, as well as fairness and mercy.' back

Diophantine equation - Wikipedia, Diophantine equation - Wikipedia, the free encyclopedia, 'In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied (an integer solution is a solution such that all the unknowns take integer values). A linear Diophantine equation is an equation between two sums of monomials of degree zero or one. An exponential Diophantine equation is one in which exponents on terms can be unknowns. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all equations. In more technical language, they define an algebraic curve, algebraic surface, or more general object, and ask about the lattice points on it.' back

Erik P Verlinde, The Origins of gravity and the Laws of Newton, 'Starting from first principles and general assumptions Newton's law of gravitation is shown to arise naturally and unavoidably in a theory in which space is emergent through a holographic scenario. Gravity is explained as an entropic force caused by changes in the information associated with the positions of material bodies. A relativistic generalization of the presented arguments directly leads to the Einstein equations. When space is emergent even Newton's law of inertia needs to be explained. The equivalence principle leads us to conclude that it is actually this law of inertia whose origin is entropic.' back

Hilbert's tenth problem - Wikipedia, Hilbert's tenth problem - Wikipedia, the free encyclopedia, 'Hilbert's tenth problem is the tenth on the list of Hilbert's problems of 1900. Its statement is as follows: Given a Diophantine equation with any number of unknown quantities and with rational integral numerical coefficients: To devise a process according to which it can be determined in a finite number of operations whether the equation is solvable in rational integers. It took many years for the problem to be solved with a negative answer. Today, it is known that no such algorithm exists in the general case because of the Matiyasevich/MDRP theorem that states that recursively enumerable sets are equivalent to diophantine sets. This result is the combined work of Martin Davis, Yuri Matiyasevich, Hilary Putnam and Julia Robinson[1] which spans 21 years, with Yuri Matiyasevich completing the theorem in 1970 back

James Clerk Maxwell, Maxwell, 'Molecules', 'But though in the course of ages catastrophes have occurred and may yet occur in the heavens, though ancient systems may be dissolved and new systems evolved out of their ruins, the molecules out of which these systems are built — the foundation stones of the material universe — remain unbroken and unworn. They continue this day as they were created, perfect in number and measure and weight, and from the ineffaceable characters impressed on them we may learn that those aspirations after accuracy in measurement, truth in statement, and justice in action, which we reckon among our noblest attributes as men, are ours because they are essential constituents of the image of Him Who in the beginning created, not only the heaven and the earth, but the materials of which heaven and earth consist.' back

Jeffrey Shallit, Science, Pseudoscience and The Three Stages of Truth, The oldest quote which I have been able to find that suggests truth goes through several stages is due to the German philosopher Arthur Schopenhauer (1788–1860), who wrote in 1818 Der Wahrheit ist allerzeit nur ein kurzes Siegesfest beschieden, zwischen den beiden langen Zeitra ̈umen, wo sie als Paradox verdammt und als Trivial gering gescha ̈tzt wird. which is translated as follows: To truth only a brief celebration of victory is allowed between the two long periods during which it is condemned as paradoxical, or disparaged as trivial.' back

Johannes Kepler - Wikipedia, Johannes Kepler - Wikipedia, the free encyclopedia, 'Johannes Kepler (. . . December 27, 1571 – November 15, 1630) was a German mathematician, astronomer and astrologer. A key figure in the 17th century scientific revolution, he is best known for his eponymous laws of planetary motion, codified by later astronomers, based on his works Astronomia nova, Harmonices Mundi, and Epitome of Copernican Astronomy. These works also provided one of the foundations for Isaac Newton's theory of universal gravitation.' back

Kurt Goedel 1, On formally undecidable propositions of Principia Mathematica and related systems, I, The classic paper, part I. back

Laurie Goodsteinand Kimika de Freytas-Kimura, Anglican Church Disciplines U.S. EpiscopalsOver Gay Marriage, 'After 13 years of rancor over conflicting views on homosexuality, the archbishops of the Anglican Communion have voted to impose sanctions for three years on the Episcopal Church, the American branch of the Communion, for its decision last summer to allow clergy to perform same-sex marriages, church officials said Thursday.' back

Leonard Susskind, The World as a Hologram, 'According to 't Hooft the combination of quantum mechanics and gravity requires the three dimensional world to be an image of data that can be stored on a two dimensional projection much like a holographic image. The two dimensional description only requires one discrete degree of freedom per Planck area and yet it is rich enough to describe all three dimensional phenomena. After outlining 't Hooft's proposal I give a preliminary informal description of how it may be implemented. One finds a basic requirement that particles must grow in size as their momenta are increased far above the Planck scale. The consequences for high energy particle collisions are described. The phenomena of particle growth with momentum was previously discussed in the context of string theory and was related to information spreading near black hole horizons. The considerations of this paper indicate that the effect is much more rapid at all but the earliest times. In fact the rate of spreading is found to saturate the bound from causality. Finally we consider string theory as a possible realization of 't Hooft's idea. The light front lattice string model of Klebanov and Susskind is reviewed and its similarities with the holographic theory are demonstrated. The agreement between the two requires unproven but plausible assumptions about the nonperturbative behavior of string theory. Very similar ideas to those in this paper have been long held by Charles Thorn.' back

Lisa Murkowski nd Jay Faison, Stop Wasting America's Hydropower Potential, 'Hydropower harnesses the force of flowing water to generate electricity. It already produces about 6 percent of the nation’s electricity and nearly half of its renewable energy, more than wind and solar combined. This is enough electricity to power 30 million homes and, according to the Department of Energy, avoids some 200 million metric tons of carbon dioxide emissions each year. That amounts to taking about 40 million cars off the road for one year.' back

Lorna Knowles, Child abuse survivor Gina Swannell wins compensation after speaking out against Catholic Church, 'When Ms Swannell spoke out publicly last year she said people needed to know how the Church was treating sexual abuse victims. "People need to know that what is happening behind closed doors is not what they are saying to the public," she said at the time. "They are saying all the right things but they're not doing it. Behind closed doors, they've changed nothing. "They're doing exactly the same — deny then crucify." ' back

Mohammad Javad Zarif, Saudi Arabia's Reckless Extremism, Mohammad Javad Zarif is the foreign minister of the Islamic Republic of Iran. 'Iran has no desire to escalate tension in the region. We need unity to confront the threats posed by extremists. Ever since the first days after his election, the president and I have indicated publicly and privately our readiness to engage in dialogue, promote stability and combat destabilizing extremism. This has fallen on deaf ears in Saudi Arabia. The Saudi leadership must now make a choice: They can continue supporting extremists and promoting sectarian hatred; or they can opt to play a constructive role in promoting regional stability. We hope that reason will prevail.' back

Philip Soos, How Australian households Became the most indebted in the world, 'Australia has around $2 trillion in unconsolidated household debt relative to $1.6 trillion in GDP. Australia’s ratio is 123.08%, while Denmark’s fell slightly to 122.99% in the third quarter of 2015, a marginal difference of 9 basis points. Although Denmark holds the record in terms of peak debt of 140.14% in the last quarter of 2009, as Australia continues to leverage and Denmark deleverages the current gap between the two will widen. Apart from Switzerland (which alongside Denmark has a negative interest rate), no other country is close in terms of having such extreme household sector debts. The UK ratio is 85.9% while in the US it is 79.1%.' back

Robert Frodeman and Adam Briggle, When Philosophy Lost Its Way, 'Yet despite the richness and variety of these accounts, all of them pass over a momentous turning point: the locating of philosophy within a modern institution (the research university) in the late 19th century. This institutionalization of philosophy made it into a discipline that could be seriously pursued only in an academic setting. This fact represents one of the enduring failures of contemporary philosophy.' back

SadyDoyle, Orgasmic design: how vibrators have become ambitious tech products, 'The vibrator’s long, slow march from taboo to mainstream (and maybe even cool) has been all about figuring out what exactly women want' back