vol VII: Notes

2015

Notes

[Sunday 5 July 2015 - Saturday 11 July 2015]

[Notebook: DB 79 Galileo Wins]

[page 17]

Sunday 5 July 2015

Gravitation is blind to all subsequent developments. Blind to = has insufficient memory to resolve.

[page 18]

If general relativity were quantized, we would expect general relativistic transformations to be restricted to computable functions. On the other hand, if we imagine general relativity as continuous (analogue) we can understand that it is a bit vague, ie weak, as it is.

We need clear foundations for the fixed ponts in our opinions or they will drift under authoritarian and economic pressure.

Symmetry = invariance. In a dynamic Universe, fixed points serve as boundaries, like my skin.

Monday 6 July 2015

Continuum is a mathematical representation of the via negativa, a journey in which nothing happens, ie we change the coordinates but the distance remains the same. In a sense the coordinates do not exist but they are a language we use to talk about process. So we can create a phase space for a computer and watch the computer moving around the space as it executes its process, 'colliding' with other computers and users if our state space is a network.

The fundamental invariant in quantum mechanics is E = hf.

We say that general relativity sees only energy. What if we say that it sees only action and the advent of energy (action per second) introduces time as the fundamental metric. In GR, time is just one dimension. In quantum mechanics it is a countable infinity of different frequencies each represented by a vector in hilbert space. 1D hilbert space related to gravitation.

[page 19]

Fixed points are capital, like a house, factory, machine.

Pais page 275: '. . . in 1930 [Einstein] expressed the opinion that the idea of general relativity "is a purely formal point of view and not a definite hypothesis about nature. . . . Non [generally] relativistic theory contains not only statements about things but [also] statements which refer to things and the coordinate systems which are needed for their description; also from a logical point of view such a theory is less satisfactory that a relativistic one, the content of which is independent of the choice of coordinates".' Pais

Tuesday 7 July 2015

Weinberg Gravitation page 6: 'The usual way to "prove" that a system of mathematical postulates is self consistent is to construct a model that satisfies the postulates out of some other system whose consistency is (for the moment) unquestioned. For both Euclidean and non-Euclidean geometry, the "model" is provided by the system of real numbers. Weinberg

The mapping is via Descartes' notion that points can be identified with numbers or strings of numbers. Cartesian coordinate system - Wikipedia

The good news is not the Church. The good news is the enormous benefit to us that has occurred since the evidence based study of human nature and the rest of the world began in [ancient times]. On the whole the Church has fought tooth and nail against human rights, equality and even the value of evidence throughout this period. Like the Abbott Catholic government, secrecy and violence are the watchwords. It is now a criminal offence to reveal the abuse and torture of refugees in Australia. Australian Government: Border Force Bill 2015, Andrew Hamilton

CONTINUITY - SYMMETRY (Noether) Neuenschwander

[page 20]

Weinberg page 6: We have to give up the idea that a curved surface can be described by embedding it in ordinary three dimensional space.

'the essential inner property of any surface is the metric finction, d(x, X).

page 8: The constraint: locally Euclidean [Lorentzian, computable?]

page 13: Adelard of Bath Adelard of Bath - Wikipedia

Wednesday 8 July 2015

Thursday 9 July 2015

On the assumption that used paths lead somewhere and are not simply dead ends, it is encouraging to see that there are no problems with the next step forward. I can now see my way more clearly to the transfinite oscillator than when I invented it in 1992, 23 years ago. The thing has been cooking in my mind ever since and it may yet turn out to be a useful concept, particularly when coupled to a computational view of quantum mechanics.

From semi-competent tradie to nouveau micro guru.

The book is rather nerdy corresponding somewhat to discussing ourselves and our children in terms of DNA, but insofar as the genotype controls the phenotype, this stuff has to be spoken, The book is a tour of abstraction from the days of Parmenides to the discoveries of Cantor, Gödel, Turing, Shannon and thousands of other who have constructed the theoretical backbone of the civilization we enjoy. With this knowledge in hand, we can make explicit the path that has led us to human equality, universal rights, universal education, universal health care and the other theoretical attributes of ideal society, all summed up in the concept of non-

[page 21]

violence. So what I have here is a call to the software engineers of the world to apply our discoveries to the realities of computation and communication to embody these social ideas. The theory here I call theology. The practice is religion. The foundation of the theory is that the Universe is divine and all our experiences are experiences of God.

The opposition is strong. There are many who want to break human symmetry for their own benefit. Theory suggests, however, that the most stable arrangement of any system of peer operators gives them all equal power.

We need a trustworthy global model of the human condition. This domain of modelling is called theology. There are many theologies but I was brought up on Catholic theology. This theology has the advantage that it is deeply studied and clearly defined by the Bibe, creeds and Papal directives.

The Church is evil. Bonum ex integro, malum ex quacumque causa[Good requires perfection, evil arises from any defect]. The Church is in error when it consign women to an underclass. QED.

Space is dynamic, and what is dynamic is the metric, which enables it to describe the expansion of the Universe and the contraction of black holes.

Maybe the reason why the pundits want a spin-2 graviton is that they want to digest the whole of 4-space in one mouthful

[page 22]

instead of slicing it up layer by layer, in which case the graviton might be something massless and spin 0, moving in one (closed, circular) dimension.

Butler Lamson: "In a strict sense, the Web doesn't really work. But of course it does not need to work perfectly to be a great success. Kenneth P Bernham et al. Kenneth P. Birnham et al

Friday 10 July 2015

Saturday 11 July 2015

The usual wake-up despair. What use is the beautifully named 'transfinite oscillator? How does it actually work? Does it help us understand the working of the world? How does it fit into cybernetics? Applying the principle of requisite variety, we see that layer n cannot control layer n+1. but layer n+1 can control layer n since knowledge is possible. The original concept that it is an interplay of knowledge and creation seems good, and maybe this is all that needs to be said at the cybernetic level.

Create and criticize.

The future is uncertain, the path is uncertain.

The frequency of the transfinite oscillator varies at different levels. Since every act at a higher level is in the end an act of the hardware and this same act is given different meanings by different layers. A photon that enters the eye of a beholder behaves like any other photon, but is given meaning by the structure of the system that receives it. I seex where x is the classification given to this and other photons by the visual system.

As in uncertain battle, we push ahead determined to overcome

[page 23]

every obstacle in the way or die trying, hoping that others will succeed where we fail.

Back in the groove and writing ahead.

Original sin is the fundamental lie on which the Church is built. Gravitation is recursive, a self fulfilling prophecy. Original sin is too, as are most ideas that are successfully put into practice. Such ideas gain momentum and they are very hard to deflect even when the founding prophecy is debunked.

Copyright:

You may copy this material freely provided only that you quote fairly and provide a link (or reference) to your source.

Further reading

Books

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

Khinchin, A I, 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

Pais, Abraham, 'Subtle is the Lord...': The Science and Life of Albert Einstein, Oxford UP 1982 Jacket: In this . . . major work Abraham Pais, himself an eminent physicist who worked alongside Einstein in the post-war years, traces the development of Einstein's entire ouvre. . . . Running through the book is a completely non-scientific biography . . . including many letters which appear in English for the first time, as well as other information not published before.'  Amazon   back

Steinbeck, John, and Robert DeMott (Editor and Introduction), Sweet Thursday, Penguin Classics 2008 Amazon Product Description 'In Monterey, on the California coast, Sweet Thursday is what they call the day after Lousy Wednesday, which is one of those days that are just naturally bad. Returning to the scene of Cannery Row—the weedy lots and junk heaps and flophouses of Monterey, John Steinbeck once more brings to life the denizens of a netherworld of laughter and tears—from Fauna, new headmistress of the local brothel, to Hazel, a bum whose mother must have wanted a daughter.'  Amazon   back

Weinberg, Steven, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, Wiley 1972 Amazon customer review: 'The Best Exposition on General Relativity: 'Weinberg is a master. His style is efficent. His words not wasted. His insights are inspiring. Behind each statement dwells a reservoir of thought. His selection and organization of the material seems non-improvable. Completion of the book yields general relativity in a comprehensive manner. In addition to his methods, I am wholeheartedly biased towards his approach of basing general relativity on empiricism rather than geometry. Reading this book is almost synonomous with sitting at the feet of a master. The methods utilized are standard tensor analysis, which yields the best results and understanding of the physics in a first exposure. MTW, in contrast, uses different mathematical approaches and moreover does so in an inconsistent manner. Weinberg is the BEST book, existing today, on general relativity period.' A Customer  Amazon   back

Links

Adelard of Bath - Wikipedia, Adelard of Bath - Wikipedia, the free encyclopedia, 'Adelard of Bath (Latin: Adelardus Bathensis) (c. 1080 – c. 1152) was a 12th-century English natural philosopher. He is known both for his original works and for translating many important Greek and Arab scientific works of astrology, astronomy, philosophy and mathematics into Latin from Arabic versions, which were then introduced to Western Europe. He is known as one of the first to introduce the Hindu–Arabic numeral system to Europe. He stands at the convergence of three intellectual schools: the traditional learning of French schools, the Greek culture of Southern Italy, and the Arabic science of the East.' back

Amino acid - Wikipedia, Amino acid - Wikipedia, the free encyclopedia, 'In chemistry, an amino acid is a molecule containing both amine and carboxyl functional groups. These molecules are particularly important in biochemistry, where this term refers to alpha-amino acids with the general formula H2NCHRCOOH, where R is an organic substituent.' back

Andrew Hamilton, The Border Force Act's disquieting parallels, 'On July 1 the Australian Border Force Act 2015 became law. Detention centre staff are now forbidden to speak about human rights abuses, with a two year jail penalty applying. It is perhaps appropriate to recall the secrecy of the security apparatus of Stalinist Russia, Apartheid South Africa, and Chile and Argentina under the Generals, where victims were denigrated and information prevented from leaking out.' back

Australian Government, Australian Border Force Bill 2015, 'Type Government Portfolio Immigration and Border Protection Originating house House of Representatives Status Act Parliament no 44 Summary Introduced with the Customs and Other Legislation Amendment (Australian Border Force) Bill 2015, the bill: establishes the statutory office and role of the Australian Border Force (ABF) Commissioner; provides for the exercise of powers of the commissioner and the ABF employees; provides for the issue of binding written directions in relation to the administration and control of the ABF and the department respectively, and the performance of functions or exercise of powers; provides the ability to require immigration and border protection workers to undergo alcohol and prohibited drug screening tests; establishes secrecy and disclosure provisions; and provides for the management of serious misconduct by employees. back

Cantor's theorem - Wikipedia, Cantor's theorem - Wikipedia, the free encyclopedia, 'In elementary set theory, Cantor's theorem states that, for any set A, the set of all subsets of A (the power set of A) has a strictly greater cardinality than A itself. For finite sets, Cantor's theorem can be seen to be true by a much simpler proof than that given below, since in addition to subsets of A with just one member, there are others as well, and since n < 2n for all natural numbers n. But the theorem is true of infinite sets as well. In particular, the power set of a countably infinite set is uncountably infinite. The theorem is named for German mathematician Georg Cantor, who first stated and proved it.' back

Carnot heat engine - Wikipedia, Carnot heat engine - Wikipedia, the free encyclopedia, 'A Carnot heat engine is a hypothetical engine that operates on the reversible Carnot cycle. The basic model for this engine was developed by Nicolas Léonard Sadi Carnot in 1824. The Carnot engine model was graphically expanded upon by Benoît Paul Émile Clapeyron in 1834 and mathematically elaborated upon by Rudolf Clausius in the 1850s and 60s from which the concept of entropy emerged.' back

Cartesian coordinate system - Wikipedia, Cartesian coordinate system - Wikipedia, the free encyclopedia, 'A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin, usually at ordered pair (0, 0).' back

Dianna Theodora Kennedy, God, religion and fundamentalismL an unholy trinity, 'Who falls prey to fundamentalist messages? I have developed an algorithm: Fundamentalism = fear + magical thinking + social and political forces that create psychological vulnerability, rage, hate, envy, alienation and marginalisation + cognitive narrowing (for example, indoctrination). As a result, the disenfranchised, embattled, denigrated and rejected, deprived and needy, traumatised and dispossessed, envious, hateful and rageful members of society are all fair game for the message of fundamentalist religious and politico-religious ideologies.' back

Differential form - Wikipedia, Differential form - Wikipedia, the free encylopedia, 'In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a unified approach to defining integrands over curves, surfaces, volumes, and higher dimensional manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, especially in geometry, topology and physics.' back

Dominic Kelly, Conservatives' collective tantrum over the pope has been a wonder to behold. , 'These discoveries played out in the Australian’s coverage, which was kicked off by its environment editor, Graham Lloyd. Amid a collection of key points from the encyclical, Lloyd quotes a media release from James Grant, Catholic priest and adjunct fellow at the Institute of Public Affairs, reassuring Catholics that they “can feel safe in being sceptical about the pope’s opinion”. Yes, a Catholic priest working for a climate denialist thinktank issued a media release telling Catholics how they should react to the pope’s views about climate change. back

E J Dionne Jr, Liberated by Grace: The African-American Christian Tradition, 'And the scholar Jonathan Rieder noted in his book about Martin Luther King Jr.’s ministry, The Word of the Lord Is Upon Me, that the Resurrection and the Exodus stories were rich sources of hope, especially in the movement’s darkest moments. “God will make a way out of no way” was King’s answer to those whose spirits were flagging. No shootings, no bombings, no fires can destroy this faith.' back

George Monbiot, Greece is the latest battleground in the financial elite's war on democracy, 'The Maastricht treaty, establishing the European Union and the euro, was built on a lethal delusion: a belief that the ECB could provide the only common economic governance that monetary union required. It arose from an extreme version of market fundamentalism: if inflation were kept low, its authors imagined, the magic of the markets would resolve all other social and economic problems, making politics redundant. Those sober, suited, serious people, who now pronounce themselves the only adults in the room, turn out to be demented utopian fantasists, votaries of a fanatical economic cult.' back

Good news (Christianity) - Wikipedia, Good news (Christianity) - Wikipedia, the free encyclopedia, 'In Christianity, the good news or evangelium (from Koine evengelion– also translated as "gospel", "glad tidings" and variants) is the message of Jesus, the Christ (the Messiah), specifically his atoning death on the cross and resurrection, the descent of the Holy Spirit at Pentecost as "helper" (paraclete), and the resulting promise and hope of salvation for the faithful.' back

Google search - Wikipedia, Google search - Wikipedia, the free encyclopedia, 'Google search is a web search engine owned by Google Inc. and is the most-used search engine on the Web [3]. Google receives several hundred million queries each day through its various services.[4] Google search was originally developed by Larry Page and Sergey Brin in 1997.' back

Gregory Melluish, Australia's Constitution works because it doesn't define national identity, 'It is very important to realise that the Australian Constitution has nothing to do with identity politics. It does not deal with substantive issues, as do other constitutions, such as the Irish Constitution – which was why the Irish people needed to hold a referendum on same-sex marriage. The Australian Constitution’s focus is procedural. The one concession to identity was the inclusion of God in the preamble. It was something that many ordinary Australians desired but was not particularly favoured by convention delegates. Edmund Barton, in particular, spoke against it. Section 116, forbidding government support of any religion, ensured that it would have no legal implications.' back

Jessica Burkett, What the Dog-Fish and Camel-Bird can tells us about how our brains work, 'One implication that arises from this research by Google is that simulating intelligence requires an additional organisational component beyond just consolidated feature detection. Yet it’s still unclear how to successfully replicate this function within deep learning models.' back

Jim Yardley and William Neuman, In Bolivia. Pope Francis Apologizes for Curch's 'Grave Sins', 'SANTA CRUZ, Bolivia — Pope Francis offered a direct apology on Thursday for the complicity of the Roman Catholic Church in the oppression of Latin America during the colonial era, even as he called for a global social movement to shatter a “new colonialism” that has fostered inequality, materialism and the exploitation of the poor. Speaking to a hall filled with social activists, farmers, garbage workers and Bolivian indigenous people, Francis offered the most ambitious, and biting, address of his South American tour.' back

John Keane, Julian Assange on Google, surveillance and predatory capitalism, '“Three years ago, Google finally joined the ranks of top-spending Washington lobbyists,” Assange tells me. “It’s a list usually stalked by such giants as the US Chamber of Commerce, military contractors, and the petro-carbon leviathans. Google is now at the top of the company list.” It annually spends more on lobbying than such military aerospace giants Lockheed Martin, Raytheon and Boeing.' back

Kenneth P. Birnham et al, Overcoming Communications Challenges in Software for Monitoring and Controlling Power Systems, 'The restructuring of the electric power grid has created new control and monitoring requirements for which classical technologies may be inadequate. The most obvious way of buiding such systems, using TCP connections to link monitoring systems with data sources, gives poor scalability and exhibits instability precisely when information is most urgently required. Astrolabe, Bimodal Multicast and Gravitational Gossip, technologies of our own design, seek to overcome these problems using what are called “epidemic” communication protocols. This paper evaluates a hypothetical power monitoring scenario involving the New York State grid, and conclude s that the technology is well matched to the need.' back

Open Notebook Science - Wikipedia, Open Notebook Science - Wikipedia, the free encyclopedia, 'Open Notebook Science is the practice of making the entire primary record of a research project publicly available online as it is recorded. This involves placing the personal, or laboratory, notebook of the researcher online along with all raw and processed data, and any associated material, as this material is generated. The approach may be summed up by the slogan 'no insider information'. It is the logical extreme of transparent approaches to research and explicitly includes the making available of failed, less significant, and otherwise unpublished experiments; so called 'Dark Data'.' back

Peano axioms - Wikipedia, Peano axioms - Wikipedia - the free encyclopedia, 'In mathematical logic, the Peano axioms, also known as the Dedekind-Peano axioms or the Peano postulates, are a set of axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano. These axioms have been used nearly unchanged in a number of metamathematical investigations, including research into fundamental questions of consistency and completeness of number theory.' back

Peter Hannam, Abbott government's 'blue tape' costs consumers billions, report finds, 'Businesses taking part in the federal Energy Efficiency Opportunities (EEO) were on track to save $786 million a year from implemented or intended investments to curb energy use, the report notes, citing Industry Ministry figures. However, the 2014 axing of the EEO by the Abbott government – for an annual saving in regulatory burden worth just $17.7 million – and other moves to cull efficiency efforts mean future energy savings are likely to fizzle out.' back

Protein - Wikipedia, Protein - Wikipedia, the free encyclopedia, 'Proteins (also known as polypeptides) are organic compounds made of amino acids arranged in a linear chain. The amino acids in a polymer chain are joined together by the peptide bonds between the carboxyl and amino groups of adjacent amino acid residues. The sequence of amino acids in a protein is defined by the sequence of a gene, which is encoded in the genetic code.' back

Roger Waters: Pink Floyd, The Wall, back

Spencer Ackerman, US torture doctors could face charges after report alleges post 9/11 'colllusion', 'The largest association of psychologists in the United States is on the brink of a crisis, the Guardian has learned, after an independent review revealed that medical professionals lied and covered up their extensive involvement in post-9/11 torture. The revelation, puncturing years of denials, has already led to at least one leadership firing and creates the potential for loss of licenses and even prosecutions.' back

Suzanne Goldberg, Exxon knew of climate change in 1981, email says - but it funded deniers for 27 more years, '“Exxon first got interested in climate change in 1981 because it was seeking to develop the Natuna gas field off Indonesia,” Lenny Bernstein, a 30-year industry veteran and Exxon’s former in-house climate expert, wrote in the email. “This is an immense reserve of natural gas, but it is 70% CO2”, or carbon dioxide, the main driver of climate change.' back

User Datagram Protocol - Wikipedia, User Datagram Protocol - Wikipedia, the free encyclopedia, 'The User Datagram Protocol (UDP) is one of the core members of the Internet protocol suite. The protocol was designed by David P. Reed in 1980 and formally defined in RFC 768. UDP uses a simple connectionless transmission model with a minimum of protocol mechanism. It has no handshaking dialogues, and thus exposes any unreliability of the underlying network protocol to the user's program. There is no guarantee of delivery, ordering, or duplicate protection. UDP provides checksums for data integrity, and port numbers for addressing different functions at the source and destination of the datagram.' back

Wojciech Hubert Zurek, Quantum origin of quantum jumps: breaking of unitary symmetry induced by information transfer and the transition from quantum to classical, 'Submitted on 17 Mar 2007 (v1), last revised 18 Mar 2008 (this version, v3)) "Measurements transfer information about a system to the apparatus, and then further on -- to observers and (often inadvertently) to the environment. I show that even imperfect copying essential in such situations restricts possible unperturbed outcomes to an orthogonal subset of all possible states of the system, thus breaking the unitary symmetry of its Hilbert space implied by the quantum superposition principle. Preferred outcome states emerge as a result. They provide framework for the ``wavepacket collapse'', designating terminal points of quantum jumps, and defining the measured observable by specifying its eigenstates. In quantum Darwinism, they are the progenitors of multiple copies spread throughout the environment -- the fittest quantum states that not only survive decoherence, but subvert it into carrying information about them -- into becoming a witness.' back