natural theology

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vol VII: Notes

2014

Notes

[Notebook: DB 77 Discretion]

[Sunday 16 February 2014 - Saturday 22 February 2014]

[page 69]

Sunday 16 February 2014
The task is now to assemble Natural theology out of all the bits and pieces I have collected over the years. Rather like assembling a DNA sequence out of a set of fragments. The important foundation of this work is the fact that the fragments overlap. in other words they fulfill Aristotle's definition of continuity . . . The overlaps make the matching possible. So I want to set up a chain of overlapping propositions that form a continuous circle, ie a consistent formal (symbolic, cultural) structure, which wehere model as the transfinite network open to a bounded but infinite future. The letters of the alphabet are bounded by the set of words which can be made with these letters. If we consider each letter as a unique physical symbol / process / Turing machine this boundary is the set of permutations of the letters.

An adequate discussion of any issue can only take place in a complete basis, that is all possibilities (eigenfunctions, processes) must be considered in the mix. In quantum mechanics superpositions are perfectly linear, but in more complex networked systems the sequence of actions of the various oerators can be very important: non-

[page 70]

commutativity.

You cannot tell other people what to do, only expect to live in a milieu where other people will not hurt you, ie do no harm; all relationships to be negotated on a level field and voluntary.

Monday 17 February 2014

Controlling control. The big task is to get the controlling just right. Too much or too little can lead to trouble. At the two extremes of control we have total control and anarchy. [North Korea is a good modern example of attempted total control] Both lead to failure, anarchy because there is no cooperation in necessarily communal tasks, and total control because [it is] an unstable artificial reduction in entropy which must eventually fall foul of the second law of thermodynamics. Peter Walker

The law of requisite variety says that the system with enough variety to control itself must be controlled by itself, ie must be democratic, all elements working in parallel to achieve comfortable survival.

The notion of self control arising from self equivalence is the natural interpretation of requisite variety by duality in a complex system, the dual spaces being the individuals and the collective. The collective controls the environment for the individuals who direct the collective to implement the controle that best promote [the welfare of the individuals]. [This system goes bad when a small elite gain control, promoting their own welface at the expense of the rest of the population.]

In the physical Universe systems act to keep the action stationary (Euler -Lagrange equation), ie to establish fixed

[page 71]

points in the dynamics.

Neuenschwander: Fundamental lemma of the calculus of variations, page 28. Fundamental lemma of the calculus of variations - Wikipedia

N, page 29 Euler-Lagrange equation. . . . Euler-Lagrange equation - Wikipedia

Time is the independent variable here [in the Lagrangian], ticking along at an assumed constant rate. The xμ [μ = 1, 2, . . . N]represent points in a[n N dimensional] space which are moving in an extremal way, that is we guess executing the most efficient algorithm to move from a to b.

Symmetry, N, page 36-37: J.W.Campbell: 'In applying [Newton's] laws to obtain the equations of motion in any given problem, any system of coordinates may be used that will give expression to them . . . The problem is simplified by the use of generalised coordinates . . . When we use generalized coordinates we do not specify the system. We write the coordinates but do not define what they mean. Thus we write the position of a point as (q1, q2, q3) without specifying how the q's are obtained . . . thus

[page 72]

Lagrange's equations give the equations of motion for all systems, and their explicit form is independent of the meaning of the coordinates. The only restriction is that the coordinates must uniquely determine the point.'

The stationary action integral is the basic fixed point in the Universe and points to discrete digital processes?

Neuenschwander page 37: 'Hamilton's principle and Newton's second law are equivalent—but only for classical mechanics.

Tuesday 18 February 2014
Theorems guarantee the existence of fixed points where nothing happens. We assume, however, that fixed points are the result of some sort of communication and control, so we investigate them using cybernetics.
Wednesday 19 February 2014

Writers such as Dawkins ('G0od Delusion') are inclined to throw out the baby with the bathwater. We do not discredit ancient astronomy because their models of the heavens were a long way from current belief. We recognise their work as early efforts to explain the magnificent phenomena we observe in the heavens. Over the ast two millennia astronomy has been built on this foundation by the gradual steps we associate with Tycho Brahe, Johannes Kepler, Nicholas Copernicus, Galileo Galilei, Isaac Newton and Albert Einstein. The history of Western theology is not so rich because the political power of the Churches has kept it in its infancy, but we must nevertheless see the work of ancient

[page 73]

theologians as a foundation we can build on.

Now, 350 years after Galileo's inspiration, science still plays second fiddle to many entrenched beliefs like eternal life and female genital mutilation. The revision of theology is a big job, but we must start somewhere,

As we may conclude from its promotion of the vows of poverty, chastity and obedience, the Catholic Church is an specifically and deliberately inhuman organization rooted in the conviction that humanity is defective.

Evolution - intelligent design

Cybernetics: feedback

Thursday 20 February 2014

By deprecating women and reproduction the church bypasses the unifying power of the fact that we are all one species, and opens the way for self interested theologians to provoke conflict around the world for their own benefit.

Always struggling to make progress. The idea now seems to be to write a book length version of natural theology without trying so much for precision as a rough outline that can be sculpted in detail and then coupled to a detailed reference space (perhaps predominantly Wikipedia) to help the reader through the forest of detail. This plan calls for a strong and straightforward statement of my position in my own terms without worrying too much about the sensibilities of the potential audience. If they find the general idea

[page 74]

exciting enough they will put in the effort necessary to understand it as a whole. My tendency seems to be always to get bogged down in detail, contributing to my own education but often seeing more trees than forest.

It is time for Christianity, that went through its warring phase during the reformation . . . to step out of its parochial and ancient view of the world to the high ground of science so that it can leas the less developed religions to peace. This high ground we call scientific, natural or secular religion.

Friday 21 February 2014

Let us drop the reference to God in unreasonable effectiveness and concentrate of the vacuum - pure energy = initial singularity, thereby removing an obstacle to acceptance ßwhile formally representing the same ideas.

Christopher Hitchins 'That which can be asserted without evidence can be dismissed without evidence'. Christopher Hitchens

Fiddling with the book. Maybe the quickest way forward is a rewrite of the Synopsis volume f the natural theology website. Rename to A Divine World.

Beane et al Constraints on the Universe as a Numerical Simulation archiv.org/pdf/1210.1847v2.pdf. Silas R Beane et al

Neuenschwander page 47: 'Hamilton's principle is equivalent to requiring that the time averages of

[page 75]

the kinetic energy and the potential energy be as nearly equal as possible.' And maybe integrated over the whole Universe, exactly equal. [Feynman Feynman: On Gravitation]

Saturday 22 February 2014

The emergence of a fixed point in the vacuum establishes a duality of fixed point - not fixed point which corresponds to the notion of father and son. One then imagines the emergence of further fixed points [by a recursive process, like turbukence] which can be represented by the transfinite numbers / halted communications.

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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!)

Feynman, Richard, Feynman Lectures on Gravitation, Westview Press 2002 Amazon Editorial Reviews Book Description 'The Feynman Lectures on Gravitation are based on notes prepared during a course on gravitational physics that Richard Feynman taught at Caltech during the 1962-63 academic year. For several years prior to these lectures, Feynman thought long and hard about the fundamental problems in gravitational physics, yet he published very little. These lectures represent a useful record of his viewpoints and some of his insights into gravity and its application to cosmology, superstars, wormholes, and gravitational waves at that particular time. The lectures also contain a number of fascinating digressions and asides on the foundations of physics and other issues. Characteristically, Feynman took an untraditional non-geometric approach to gravitation and general relativity based on the underlying quantum aspects of gravity. Hence, these lectures contain a unique pedagogical account of the development of Einstein's general theory of relativity as the inevitable result of the demand for a self-consistent theory of a massless spin-2 field (the graviton) coupled to the energy-momentum tensor of matter. This approach also demonstrates the intimate and fundamental connection between gauge invariance and the principle of equivalence.' 
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Links
Christopher Hitchens, 'That which can be asserted without evidence can also be dismissed without evidence', 'Forgotten were the elementary rules of logic, that extraordinary claims require extraordinary evidence and that what can be asserted without evidence can also be dismissed without evidence. "Mommie Dearest", Slate, 20 October 2003' back
Euler-Lagrange equation - Wikipedia, Euler-Lagrange equation - Wikipedia, the free encyclopedia, 'In calculus of variations, the Euler–Lagrange equation, Euler's equation,[1] or Lagrange's equation although the latter name is ambiguous (see disambiguation page), is a differential equation whose solutions are the functions for which a given functional is stationary. It was developed by Swiss mathematician Leonhard Euler and Italian mathematician Joseph Louis Lagrange in the 1750s' back
Evelyn Waugh - Wikipedia, Evelyn Waugh - Wikipedia, the free encyclopedia, 'Arthur Evelyn St. John Waugh (28 October 1903 – 10 April 1966), known as Evelyn Waugh, was an English writer of novels, biographies and travel books. He was also a prolific journalist and reviewer. His best-known works include his early satires Decline and Fall (1928) and A Handful of Dust (1934), his novel Brideshead Revisited (1945) and his trilogy of Second World War novels collectively known as Sword of Honour (1952–61). Waugh is widely recognised as one of the great prose stylists of the 20th century.' back
Fundamental lemma of the calculus of variations - Wikipedia, Fundamental lemma of the calculus of variations - Wikipedia, the free encyclopedia, I'n mathematics, specifically in the calculus of variations, the fundamental lemma of the calculus of variations states that if the definite integral of the product of a continuous function f(x) and h(x) is zero, for all continuous functions h(x) that vanish at the endpoints of the domain of integration and have their first two derivatives continuous, then f(x)=0.' back
J P Leahey, The Robertson-Walker Metric, The Robertson-Walker Metric: 'The simplest universe consistent with [special relativity] is one which appears isotropic (the same in all directions) to a set of privileged observers, called co-moving observers because each observer sees the others as moving along with the overall cosmic expansion. ... The existence of three or more such observers places very strong constraints on the possible structure of space-time. ... In such a universe, the interval (space-time separation) between events ("points" in space-time) can be described by the Robertson-Walker metric. By fixing the distances between all points, the metric also defines the geometry of space-time, and, because there is a meaningful cosmic time, the geometry of space at a given time. ...' back
NASA, Wilkinson Microwave Anisotropy Probe (WMAP), 'The Wilkinson Microwave Anisotropy Probe is a NASA explorer mission measuring the temperature of the cosmic background radiation with unprecedented accuracy. This map of the remnant heat from the Big Bang provides answers to fundamental questions about the origin and fate of our universe.' back
Peter Walker, North Korean human rights abuses recall Nazis, says UN inquiry chair, 'North Korea's leadership is committing systematic and appalling human rights abuses against its own citizens on a scale unparalleled in the modern world, crimes against humanity with strong resemblances to those committed by the Nazis, a United Nations inquiry has concluded. back
Silas R Beane et al, Constaints on the Universe as a Numerican Simulation, 'Abstract Observable consequences of the hypothesis that the observed universe is a numerical simulation performed on a cubic space-time lattice or grid are explored. The simulation scenario is first motivated by extrapolating current trends in computational resource requirements for lattice QCD into the future. Using the historical development of lattice gauge theory technology as a guide, we assume that our universe is an early numerical simulation with unimproved Wilson fermion discretization and investigate potentially-observable consequences. Among the observables that are considered are the muon g − 2 and the current differences between determinations of α, but the most stringent bound on the inverse lattice spacing of the universe, b−1>∼ 1011 GeV, is derived from the high-energy cut off of the cosmic ray spectrum. The numerical simulation scenario could reveal itself in the distributions of the highest energy cosmic rays exhibiting a degree of rotational symmetry breaking that reflects the structure of the underlying lattice.' back

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