Welcome from Jim Adams
This section has morphed to contain mainly contributions from B&H Transition Energy Group members. It also contains my writings (usually in collaboration with others, for example, members of the Omega Institute, the Labour Party or Transition Brighton and Hove, particularly its Energy and EDRAP Groups) on eco energy issues, peak fuel and other resources, and on climate change. Also it includes files downloadable on the internet by authors we are particularly interested in.
1. CHP/DH Shoreham Power Station This is the initiating document on combined heat and power and district heating from Shoreham power station.
2. Manifesto for a New World Order Ed Miliband said at a meeting at the Labour Party Conference, that Martin Luther King could not have started his famous speech with 'I have a nightmare', and that we need to talk about 'climate prosperity'. I have taken this up as a challenge!
3. The Energy and Climate Emergencies This is an unfinished draft of a visual work on problems and solutions to peak oil and climate change. Work will recommence in November.
4. B&H Energy Descent and Resilience Action Plan (EDRAP) Version 1.0 This is the April 2010 draft of the EDRAP (Energy Descent & Resilience Action Plan) for Brighton & Hove.
5. B&H Energy Descent and Resilience Action Plan (EDRAP) Outline This was the original draft outline of the EDRAP Group's Energy Descent plan for Brighton & Hove.
6. Bioregional One Planet Plan This is the almost completed version of Bioregional's One Planet Plan for Brighton & Hove. A series of workshops took place, concerning Food, Happiness, Local Economy and Fair Trade, Materials, Transport, Waste, Water and Zero Carbon. Here are some of the other key associated documents for the EDRAP: Transition Town Lewes Energy Descent Plan, Preparing for Peak Oil, Brighton University Sustainability Master Plan, consisting of: 1 Front Cover, 2 Introduction, 3 Demographic Chapter, 4 Transport Chapter, 5 Food Chapter, 6 Power Chapter, 7 Water Chapter, 8 Waste Chapter, 9 Materials Chapter, 10 Conclusion, Thurstan Crockett's observations on the status of local government sustainability in Brighton & Hove, a Carbon Footprint Reduction Programme, a document on Clean Energy 2030, Climate Change Adaptation by Design - A Guide for Sustainable Living, a European Sustainable Cities document, Portland Peak Oil Task Force Recommendations, a study on Pragmatic Energy Policy, The Economics of Renewable Energy and the Total Energy Strategy Summary.
7. Gas Security in the UK This contains three articles on Gas Security, or the lack of it, fronted by e-mail exchanges on this topic during December 2008.
8. The Oil Crunch: Securing the UK's Energy Future. On 29th October 2008 at The London Stock Exchange, eight leading UK companies launched this report, warning that a peak in cheap, easily available oil production is likely to hit by 2013, posing a grave risk to the UK and world economy. The warning comes from a broad spectrum of industry (Arup, FirstGroup, Foster + Partners, Scottish and Southern Energy, Solarcentury, Stagecoach Group, Virgin Group, Yahoo).
9. European CHP This contains a company (COGEN Europe) notification on European Combined Heat and Power, combined with e-mail discussions on this during November/December 2008. The discussion refers to this report: American CHP
10. Smart Grids This contains e-mail exchanges on Smart Grids. The following two sites are referenced in these discussions, on: European Smart Grids and American Smart Grids
11. Standy Costs/Smart Electricity Meters Warning Professor Alan Turner shows the amount of waste in the home due to leaving appliances on standby rather than switching them off at the wall socket. It represents about a third of the quarterly electricity bill. He has added an important note saying that many of the cheap 'energy meters' on the Internet give false readings.
12. The Omega Report on Incinerators, Version 1 and Version 2 This is the oldest of the reports, on the Veolia Incinerator at Newhaven, produced almost entirely by my colleague Graham Ennis. It contains a note on the Thermal Depolymerisation alternative to incinerators. We now know of other alternatives.
13. The Omega Note on LED Traffic Lights This note, to Brighton & Hove City Council, points out the energy efficiency savings of LED Traffic Lights.
14. US Environmental Protection Agency Decision on CO2 The EPA decision on CO2 stimulated the e-mail discussion which follows in this document.
15. Reducing Energy Is it possible to halve energy consumption and retain our present style of life? e-mail discussion.
16. Recession and Energy Projects. e-mail exchanges during December 2008 on the impact of the recession on energy infrastructure projects.
17. Email exchanges on Carbon Currency This was an email exchange between myself, Doly Garcia and David Greenop, assembled in October 2008.
18. The Transition B&H Energy Group Submission on Renewables, the condensed version and the Executive Summary of this. This is the newest of the main reports (September 2008), a submission by five authors from Brighton & Hove Transition Energy Group to the Government consultation on Renewable Energy.
19. Proposals for B&H Wind Turbines This preliminary note deals with two suggestions for wind turbines, including at Shoreham Harbour, plus email exchanges in October 2008.
20. Consultation with Scottish Power, Thistle Hotel, Brighton, December 2008.
21. Hansen's Comments to Obama, and reactions to it from Transition Energy Group members. Here is a link to a further letter, dated 2nd January 2009.
22. James Hansen's Kingsnorth Inquiry report, describes the Earth's climate history, sea level rise, species extinction and the human responsibility to curb fossil fuels - oil, gas and particularly coal.
23. Note to Hilary Benn This was a note (part of it was questions) given to Hilary Benn at the Brighthelm Centre in Brighton on 23rd October 2008.
24. Letter to Ed Miliband, Secretary of State for Energy and Climate Change, January 2009. Note to Ed Miliband, on his visit to Brighton & Hove in February 2009 and comments on the above.
25. The Labour Party Working Group minority report on Climate Change, November 2007, by one of the group, Jim Adams.
26. The Sustainability Submission to the Labour Party Local Election Manifesto This submission was the result of a manifesto forum dealing with sustainability issues.
27. The Omega Submission on the Government's "Green Paper" This note was our first submission on a UK government consultation process.
28. The Omega Note on a suggested Queen's Speech This slightly tongue-in-cheek note arose out of the non-existent leadership elections.
29. The Green New Deal downloadable pdf file by the Green New Deal Group.
30. The David Wasdell scientific report on Climate Change Catastrophe, revised and expanded December 2008.
31. The Baer and Mastrandrea report, one of the first to undermine the Climate Change assumptions of the Stern Review.
32. The UK Energy Mix Fact Sheet, this contains data for 2007.
33. IPCC AR4 WG1, link to the IPCC Fourth Assessment Report on the Scientific Basis of Climate Change.
34. The Stern Review, a report on the Economics of Climate Change.
35. The Game of Crisis, download a cooperative board game for self-assembly.
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This section, put in so a group of Politics students at Brighton University can access it, contains some of my writings on politics and political philosophy to various people in the Labour Party, starting from when I left and continuing when I rejoined.
1. The first two items were written when I resigned over the attack on Fallujah in Iraq, the third being on the same subject to Party Chairman Ian McCartney.
War Party 1, War Party 2, Letter to Ian McCartney
2. Second letter to Ian McCartney. This was the letter to Ian McCartney, on rejoining.
3. Letter to David Lepper. Correspondence with David Lepper MP on Palestine.
4. Correspondence with Simone La Corbiniere. Correspondence with Simone La Corbiniere, of Our World Our Say.
5. These two items were part of correspondence with David Lepper on ID cards.
6. These two items were part of correspondence with Bob Glaberson, a Labour Party member, on the Middle East and the 'War on Terror'.
7. The Enlightenment Correspondence with Madeleine Bunting, Guardian journalist, on the Enlightenment.
8. Submission to SIAC on 'U', an Asylum Seeker SIAC is a special court set up to detain Asylum Seekers in the British Gulag. Its procedures are Kafkaesque.
9. My beliefs Sometimes I find myself in a public role. This details my thinking on what motivates me and the nature of the world, so people can see what I think.
This mainly matrix mathematics section is under construction and contains what is planned to be twenty three of my mathematical papers and a letter to Doly Garcia. Papers that are ready are so marked, and papers which are far from completion are indicated as not ready. The order is by topic, logical sequence and what I think are the most interesting first. Papers suitable for a general readership are 1B, 1Ca, 1Cb, 2A, 5A, 6A, 6B, 8 and 9. A brief history is given here and the research schedule.
If you wish to pass on the text of a whole article, where I indicate this is work in progress, please can I suggest that you forward the website or file address, and not a downloaded copy?
An invitation for you to get involved in these research areas.
I have a number of papers and ideas, and the most significant are posted here. Would you like to develop some of these conceptions further? If you wish to email me, the email address is right at the end of the website.
Some of the background to research topic areas is given later.
1A. Research programme. This limits itself to studies of hyperintricate numbers. For instance, I believe hyperintricate representations are interesting in terms of Diophantine sets and the theory of schemes, and there is a whole area of mathematics open to investigation for hyperintricate L-series.
1B. Intricate and Hyperintricate Numbers This work is ready and is the introductory article. These numbers are generalisations of complex numbers, and are general representations of 2n X 2n matrices.
1Ca. Division Algebras This contains a proof that the only standard associative division algebras are the reals, complex numbers and quaternions. In the case where there is more than one axis with square 1, in a sense standard results break down. A set of counterexamples is given.
1Cb. Fermat's Little Theorem for Matrices An extended version is being prepared. It uses the hyperintricate representation of matrices.
1Cc. Hyperintricate Number Theory This is an assortment of number theoretic results.
1Da. Email to Doly Garcia on Galois Theory This detailed further possibilities for research into Galois Theory. An outcome is now known; there are no general hyperintricate solutions by radicals for polynomials with real coefficients beyond the quartic provided the solutions are not multifunctions.
1Db. Polynomial Equations for Non Commutative Algebras This work demonstrates that Galois theory carries over to matrix variables, and that for non-commutative algebras new solutions may be found when they are available in the classical cases (degree less than 5). Scheduled completion is July 2012.
1Dc. Hyperintricate Rings This work will be extended to deal with the module structure dealt with in 1Db. Scheduled completion is by August 2012.
2A. Hyperintricate Exponentiation I This work is an introductory paper on hyperintricate exponentiation.
2B. Hyperintricate Exponentiation II This paper is extended to hyperintricate exponentiation and modifies complex exponentiation, which addresses in detail a problem perplexing me for forty years. Although roots do branch, the algebra suggested does not involve branched real values, other than plus or minus a real root, unlike the conventional allocation.
2C. Hyperanalysis Work has started on hyperintricate analytic and non-analytic functors. Completion is scheduled for September 2012. It will use the algebra of 2B to investigate implications for the Riemann hypothesis.
3A. Quadratic Residues I This work is ready and is the first stage of a solution of a problem unproved by elementary methods in 2004, that for p prime = 4k - 1 there are more quadratic residues in the interval [1, 2k - 1] than in [2k, 4k - 2]. A formula is proved.
3B. Quadratic Residues II This work is not ready. We describe contours and relate this and further aspects to the 10th discriminant problem. Scheduled completion is by October 2012.
4. Rescaling Polynomial Probabilities A write-up of work on probability done many years ago. An extension on probability toposes has been inserted.
5A. Branched Spaces I This work is ready - a topology popularisation that describes branched spaces and their Euler characteristics.
5B. Branched Spaces II This work is not ready. Its topology research will describe homotopy for branched spaces. We investigate the Euler characteristic and reconnected branched homotopy. Scheduled completion is by September 2012.
6A. Infinitesimals Phase one of this work is ready, and will be upgraded to put all reasoning on an axiomatic basis. It introduces the topic of uncountable analysis.
6B. Reflections on Zero and Infinity This is a new paper. We imagine a mathematics in which the set R of real numbers is zero divided by zero.
7A. Braids An investigation into braids, prompted by Paul Hammond.
7B. Partitions A little note on partitions, originally an email, again prompted by Paul Hammond.
8. Vector Calculus A note to a colleague, describing mathematical ideas on vector calculus.
9. Fermat numbers and two prime number theorems This interrelates the idea of Fermat numbers and their relations to two prime number theorems.
10A. Exponentiation Over 100 theorems covering generalised Fermat and Mersenne numbers, prime number theorems also related to differences and sums of powers and reciprocity theorems.
10B. Quadronacci This describes a formula for a sequence of complex numbers, each of which is a sum of factors of the previous four.
10C. Superexponentiation Since some of these ideas had leaked out, this uncompleted work gave a description of work then in progress on higher order exponentiation, involving the study of 'intricate numbers' - a particular representation of GL(n). These were around in July 2008.
Background to the papers.
The most significant of these ideas is that of hyperintricate numbers, a representation of 2n x 2n matrices that is simpler and clearer than that of Lie groups (which exist!), and provides an alternative methodology.
Paper number 1B on Intricate and Hyperintricate Numbers is an introduction to the essentials of the subject.
The genesis of this idea is based on many fruitless hours investigating Galois theory. Part of the work on Galois theory is included, using these methods: Polynomial Equations for Non-commutative Algebras. This paper is being corrected and is in update mode.
We show unique factorisation breaks down for matrix polynomials and give alternative matrix solutions of the quadratic and cubic. Solution by hyperintricate parts is an additional constraint which can be removed. Previously we had speculated that on group theoretic grounds higher-order hyperintricate solutions might be found for the quintic. This was discussed in a memo to Doly Garcia.
There is a form of Fermat's little theorem (not identical to its non-matrix cousin) for intricate numbers which is extended to hyperintricate numbers - i.e. general 2n x 2n matrices.
Non-associative systems are of great interest to me. Exponentiation is the first non-inverse operation which is non-associative and it is not in some other ways a group structure. I think it is appropriate to investigate also the properties of superexponential systems. Once again, hyperintricate exponentiation is fascinating. I note the defect of category theory (an intended "universal" for mathematics) that morphisms are associative.
On my paper on an elementary methods proof of a formula on quadratic residues, at the end of the second paper I look at a "shifted disparity" formula for q. I would be interested to know whether there is any relationship with the class number here, as there is for p = 4k - 1.
On the paper on Polynomial probability logics, this is part of research which I undertook 30 years ago on probability logics. I generalise to a non-linear polynomial for the NOT operation. There are corresponding polynomials fitting the "certain" (true) and "impossible" (false) edges of a truth table in more than one variable and polynomials fitting edges with values in probabilities. The logic of these operations in the interior is generally non-commutative. The reason I investigated these was that I was interested in dependent probabilities of events which might happen in nuclear power stations, where I thought the mathematical basis of calculations was invalid, being based on independent probabilities.
The work on Branched spaces I have updated to add clarity to the idea. I would like to thank James Hirschfeld for getting a research student to look at the homolgy and cohomology here. Part I is essentially complete. I have added paragraphs on indications for branched intricate homology for part II. The relationships between these and the Euler characteristic used in the paper still need to be fully mapped out. There is a further part now indicated briefly in this paper, which will become part III, and is the connection with lattice gauge theory and quark confinement. It is clear that a quark branched space is incompatible with an exterior "familiar space" topology, which humans inhabit.
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This section contains work on physics.
I adopt a non logical-positivist philosophy, so I take a point of view that there are things "there" irrespective of whether they are being observed or not. This means my view of relativity is that suggested as a possibility by John Bell, and is essentially the position of Lorentz rather than Einstein. To make the point clearer, in General Relativity, since there is no inherent simultaneity, there is the possibility of the manifold splitting into mutually inconsistent worlds. However, if there is a "cross product" that globalises the manifold, this only makes sense if there is an inherently "simultaneous" globalisation.
My point of view of quantum mechanics is similar: In particular, the ground state, being the empty set, is not equivalent to a transformation to itself. I take the point of view of de Broglie Bohm, which have the same quantum equations but a "thinkable" theory. Rather than talk of a "pilot wave", however, I deal with a "pilot sheaf". This is interesting because sheaves are contravariant and physical laws (actually the "potential") are covariant. So we are looking at toposes, in particular the functors C -> Cop, which is equivalent to a contravariant functor C -> C (the sheaf) and Cop -> Cop (the covariant tensor potential).
1. Theory I This will contain the octonionic theory of everything for electroweak interactions, including why there are three families of leptons. Essential reading are sections 1B and 1Ca of the maths section on intricate and hyperintricate numbers.
2. Theory II This will contain the theory of everything for strong interactions. Essential reading is section 5A of the maths section on branched spaces.
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This new music downloadable section contains seven of my compositions. I am hopeful Xena can be re-performed, and the last three will be performed. Nightfall and my Sonata No. 2 were performed at the University of Sussex on 26th February 2009. The penultimate, Jug on the Table, in memory of Sydney Vale, is under construction. The text, and also that of Seek Now The Truth, are available here. These works (with me on the piano if there is one, unless otherwise indicated) are
1. Sonata No. 2, comprising: Humoresque - this seems to be the most popular of my works, Shipwreck of Dreams (composed subsequently) and Kaos.
2. Sonata for Four Hands, performed by Glen Capra and Kevin Allen, in four movements:
Jar of Moonbeams, Dance of the Robots, Rondetto and Cave of Echoes.
3. All my Love for You One of my earliest pieces (played Capra/Allen).
4. Guitar Duet My first work to be performed, by David Jenner and Jon Rattenbury.
5. Death Poem Words by Guantanamo prisoner Jumah Al Dossari.
6. I Anoint my Flesh Words by Wole Soyinka, sung by Jane Richards.
7. The Asylum Seeker spoken by Jane Richards and me.
8. Xena.
9. Nightfall (c) Copyright 2008, Composition: Terence Deadman, words Jim Adams (this was played by Mark Richey, tenor Kevin Starns).
10. A Cobweb's Touch in the Dark.
11. Jug on the Table. text
12. Seek Now the Truth. text
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