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vol VII: Notes

2014

Notes

[Notebook: DB 77 Discretion]

[Sunday 5 January 2014 - Saturday 11 January 2014]

[page 39]

Sunday 5 January 2014

The key to wrestling is to get a satisfactory grip on the other party. Here I am trying to get a hold on quantum mechanics that shows its digital nature. The task remains frustrating (impossible) but the key lies in the timing of interactions, which n common language we express as constructive and destructive interference.

[page 40]

Restricting eigenvalues to the output of computable functions has the same selection effect on quantum states as the a the mathematical trick of placing a quantum system in a box to digitize its vibrational modes.

The world is full of control freaks who wish to force other people to behave in a way that benefit the controller, by slavery, paid or unpaid, control of police forces, overt and secret, military force and by controlling the nature and flow of information in society. The most [powerful] of these is once again the Roman Catholic Church which uses deliberately and consistently the full spectrum of means to get people to follow a mythical journey in imitation of the Catholic history of salvation. The need to control is fuelled by insecurity and the principal source of insecurity seems to be denial of reality. The Church wants us to conform to an arbitrary divine law of its own creation. The Stalins, Mao Tse Tungs , Kin Jong-uns and other supreme leaders have a similar agenda, in each case making a contribution to their wealth and power. Once a dictator has obtained absolute power by murder and violence it is very hard to let go, because falling from power will expose him to vengeance in memory of all those people subjected to pain to maintain the leader's power.

Monday 6 January 2014
Tuesday 7 January 2014

We discretize the eigenfunctions by requiring that they be computable and integrate over the resulting eigenvalues to get a system of finite energy. But how do we count frequency and therefore energy in an isolated system? We can only speak of relative frequencies and we want the relative frequencies

[page 41]

to be commensurable in order to avoid the infinity problem.

The enactment of a law serves to depoliticize an issue and places it instead in the hands of the judiciary system.

Wednesday 8 January 2014

Action is often not easy. Who ever wants to go to work? Some tasks are attractive fun, but many require some sort of payment or force to make people do them. Fair wages is the ideal thing. Violent enslavement the exact opposite. In between we have various other motivations, mostly promising some future reward like heaven or healthy children. Over its history, the Roman Catholic Church has benefitted from billions of hours of free labour by the clergy and the faithful, and become wealthy and powerful on the basis of this work.

Thursday 9 January 2014
Friday 10 January 2014

Quantum mechanics describes rotating machinery through the mathematical mechanism of complex exponentials. Events are rather like the halting of a poker machine, where a set of basis states ('fruits') line up to yield some sort of payoff (or not).

Insofar as leadership comes from the top we can fairly blame intellectually and morally bankrupt organizations such as the Roman Catholic Church for the poor behaviour of their members. How can we expect a non-violent, open and democratic America when POTUS is a serial extrajudicial killer, a secretive spy, and a person who has bought his position with political donations?

[page 42}

Is the deconstruction of continuous mathematics a bridge too far? But it seems inevitable of we are going to follow Heisenberg to the final fence and only talk about what we can see, all of which is digital or quantized. Then we explain the structure of the Universe through the quantized computer network which has the power of the countable set of Turing machines coupled to the uncertainty of asynchronicity which is a function of the network structure. Our mantra is a network has many clocks, a computer just one.

As the fathers of analysis discovered, the only way to deal with the continuum is to digitize it with something like point set theory.

Saturday 11 January 2014

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Further reading

Books

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Gödel, Kurt, and Solomon Feferman et al (eds), Kurt Gödel: Collected Works Volume 1 Publications 1929-1936, Oxford UP 1986 Jacket: 'Kurt Goedel was the most outstanding logician of the twentieth century, famous for his work on the completeness of logic, the incompleteness of number theory and the consistency of the axiom of choice and the continuum hypotheses. ... The first volume of a comprehensive edition of Goedel's works, this book makes available for the first time in a single source all his publications from 1929 to 1936, including his dissertation. ...' 
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