June 05, 2017

Rosen did not understand Church's thesis

Dear John,

In neoplatonist terms, physics is the border of the universal mind, which lives in arithmetic, and so do we, assuming explicitly digital mechanism, in the first person sense. But we are widespreadly distributed in a complex, not even entirely arithmetical way in arithmetic. Assuming mechanism, it is a theorem that a tiny part of the arithmetical reality emulates all computations, and thus all dreams (assuming mechanism). Physical reality is an invariant for the observable a mental operation of relative number (digital machine, programs, words) when anticipating its own history.

Being interested in the mind-body problem, and having a reasonable, theory of mind (the mathematics of self-reference and references) it seems easier to explain the physical appearances in terms of "evolving" number's dreams than explaining the mind in terms of peculiar relation between real numbers (physics).

But the machine has an entire "theology", and is interesting per se. By (proper) theology I mean all what is true *about* a machine, or the machine, and that the machine is unable to justify rationally.

Objects are only maps on our most probable computational histories. Below our substitution level, infinitely many histories/computations interfere statitiscally.

I prefer not to assume a *physical* universe. I see it as the border of the universal mind, it is a whole, but it is only the border of something bigger. The physical is a sort of projection seen from inside, and a mode of the self looking at itself.

Mechanism makes us smaller, and so able to access more realities. Rosen did not understand Church's thesis, it prevents the reductionist conception of the natural numbers, it shows that the "computable", which lives in arithmetic, is by itself entailing many non computable element in the accessible realities of the digital machine/number.

The price is that we have to extract physics from the psychology and theology of the machines. Unfortunately this requires knowledge in mathematical logic and theoretical computer science, which are not so commonly shared.

Discrete states loves complex relations, and above the "universal" threshold, it climbs on the degree of unsolvability. 

Before Gödel, Hilbert hoped that we can use the finite to justify the use of the infinite, but after Gödel we know that we cannot justify and control the finite, even by using the infinite. 

Something which should be even more obviously when the only particulars are the natural numbers. It is the relation which counts, both those able to represent themselves, and the relation between them and many others. 

I can argue that Church's thesis rehabilitates Pythagoras, and Gödel rehabilitates Plato. The logicians found an hidden treasure in Arithmetic.

No need to idolize the Numbers with addition and multiplication, we can use the combinators with application and reduction, or the lambda terms with application and abstraction, any first order logical specification of any universal system, in the sense of Post, Church, Turing, Kleene, would do. We could use a quantum reality, but that would be either cheating, or very confusing, with respect of the mind-body problem. 

The physical reality has obviously an important role, including the role of refuting possibly the theology of the machine, but that is an open problem. 

June 4, 2017

My PQM is the Hegelian synthesis of Bergson's thesis and Einstein's anti-thesis on the nature of time, duration and consciousness.

Einstein's time is in the dynamical action base space, Bergson's élan vital, time, duration, consciousness is in the entropic entangled fiber space of the world bundle.

How are fiber bundles used in physics? - Quora
Fiber bundles are widely used in gauge theories. The fibers are various Lie groups. The simplest one is the bundle describing the electromagnetic field. A charged ...

June 5, 2017

With respect, I find the use of accepted language in physics obscure. Its value relates to how the language of physics itself has come to be used. It does not have to relate to the transcending nature of Truth. It allows of many physical interpretations, none of which can find verification in sensory experience.

  • What are probability waves? 
  • What are parallel worlds? 
  • What are infinitesimal strings? 
  • What is dark matter? 
  • What is the Big Bang from nothing? 
  • What are the many fantasy concepts that physics creates? 
  • What do these things consist of in our sensory experience? 
  • If we can never know them how can they be true? 
Universal Truth is an unchanging transcendent value that is true for all people for all time. It is not a physical thing subject to change or a diverse variety of purely speculative interpretations. Einstein objected so strongly that he was ready to discard his life's work along with the whole of physics.

Best regards,
June 5, 2017
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