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Previous Contests

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How can mindless mathematical laws give rise to aims and intention?

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**Michael Popov**: *on* 5/18/20 at 18:41pm UTC, wrote Vladimir, Please see COVID 19 model at ...

**Vladimir Fedorov**: *on* 5/18/20 at 9:54am UTC, wrote Dear Michael, I greatly appreciated your work and discussion. While the...

**Michael Popov**: *on* 5/17/20 at 9:34am UTC, wrote Dear Pavel and Dmitry! Thank you. Before I had idea to establish...

**Pavel Poluian**: *on* 5/16/20 at 10:46am UTC, wrote Dear Michael Alexeevich! We looked at your essay today. In our opinion,...

**Michael Popov**: *on* 5/15/20 at 10:30am UTC, wrote Jim, Thank you for your wonderful reference MSRI. I have some sort of...

**James Hoover**: *on* 5/14/20 at 17:58pm UTC, wrote Michael, Interesting discussion of symmetry in math and the quantum world....

**Michael Popov**: *on* 5/14/20 at 8:57am UTC, wrote Vladimir, Thank you.

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FQXi FORUM

September 28, 2021

CATEGORY:
Undecidability, Uncomputability, and Unpredictability Essay Contest (2019-2020)
[back]

TOPIC: PHYSICS AND UUU - BASED MATHEMATICAL PROBLEMS by Michael Alexeevich Popov [refresh]

TOPIC: PHYSICS AND UUU - BASED MATHEMATICAL PROBLEMS by Michael Alexeevich Popov [refresh]

There are truly " Mathematical UUU - Monsters " or unsolved mathematical problems ( such as Riemann problem and problem of nonexistence of the odd perfect number) which contain Undecidability,Uncomputability and Unpredictability on the prime numbers at the same time. We are considering a role of physical simplifications for deeper understanding of such sort of problems.

Educated in Leningrad ( St Petersburg) University in 1974 - 1983 ( including 1979 - 1983 PhD studentship in experimental anthropology). From 2007 founder and Director of KANT Mission ESA project ( Cosmic Vision 2015 - 2025), currently from September 2019 Oxford - based founding Director of "Quantum Brain Initiative 2019" international project ( with Pavlovian Institute of Physiology RAS, ITMO lab ( St Petersburg) and OMCAN, Mathematical Institute University of Oxford).

Prof Popov,

"hypothetical connection between primes distribution problem and quantum symmetry.............. a difference between two even integers is always even number, we must suggest that there is no such undecidable, incomputable and unpredictable construction as an odd perfect number at all."

Such a relation may exist in Binary numbers????

Very cool work indeed!!

report post as inappropriate

"hypothetical connection between primes distribution problem and quantum symmetry.............. a difference between two even integers is always even number, we must suggest that there is no such undecidable, incomputable and unpredictable construction as an odd perfect number at all."

Such a relation may exist in Binary numbers????

Very cool work indeed!!

report post as inappropriate

Dear Michael Alexeevich Popov,

i enjoyed the essay very much. It is a nice way to work out the Symetry rules in 3 Dim Space to be 12 (3*4).

I could add: digital computer can only calculate [0,1] (after Analog - digital - converter) white Analog Computer calculate somewaht like (sqrt(1)^2)^2 * (sqrt(-1)^2)^2 = 1 (only 1;-1)

Thanks a lot for the Essay !!!

Best regards

Manfred U.E. Pohl

report post as inappropriate

i enjoyed the essay very much. It is a nice way to work out the Symetry rules in 3 Dim Space to be 12 (3*4).

I could add: digital computer can only calculate [0,1] (after Analog - digital - converter) white Analog Computer calculate somewaht like (sqrt(1)^2)^2 * (sqrt(-1)^2)^2 = 1 (only 1;-1)

Thanks a lot for the Essay !!!

Best regards

Manfred U.E. Pohl

report post as inappropriate

“Traditionally, such unsolved mathematical problems as Riemann problem ( based on three UUUs: Undecidability or lack of effective algorithm to determine the prime numbers, Uncomputability or impossibility to find generating formula for primes, and Unpredictability or lack of mathematical quasi - random concept provided exact prediction of the prime's placement )”

1.Is your definition of Undecidability in Hilbert-Gödel sense?

2.Is your definition of Uncomputabiliy in Hilbert-Turing sense?

3.Is your definition of Unpredictability in classical/quantum Laplace-Heisenberg indeterministic sense?

If yes, could you add a bit of clarity as to how they square up with your above definitions? It is not at all clear for me, for instance, what you mean by “a quasi-random formula” in the context of indeterminism?

report post as inappropriate

1.Is your definition of Undecidability in Hilbert-Gödel sense?

2.Is your definition of Uncomputabiliy in Hilbert-Turing sense?

3.Is your definition of Unpredictability in classical/quantum Laplace-Heisenberg indeterministic sense?

If yes, could you add a bit of clarity as to how they square up with your above definitions? It is not at all clear for me, for instance, what you mean by “a quasi-random formula” in the context of indeterminism?

report post as inappropriate

Hi,

Short answer :

1.Yuri Matiysevich's undecidability (1970) in his MRDP theorem and his statement on the unsolvability of Hilbert 10th problem, adapted in his own investigations of Riemann problem.

2.Turing definition of uncomputability in his study of Riemann problem 1937 - 1953( Proc London Math Soc,3:99-117,1953 ).

3.Unpredictability in number - theoretical sense by G.Hardy - Montgomery - Keating (2020), and Tao's theory of " quasi-randomness of primes".

Long answer:

FORGOTTEN TURING MEANINGS.

Alan Turing exploits in code theory,AI and foundations of computer sciences are well-known for many. Less well known is that Turing was also interested in the search of alternative and counterexample for Riemann Hypothesis (RH).These interests culminated in 2 computer programs that he implemented on the " Manchester Mark 1"(MM1) in 1949 - 1950. Turing's 2 programs on MM1 fall squarely within Euclid - Eratosphenes styles of thinking on primes. Turing developed UUU adaptations for RH and he worked on the improvement to Skews's theorem (1933) hoping to remove RH. He had hoped that the MM1 would find a counterexample for Riemann Hypothesis. My essay demonstrates similar trend by justification of an existence of Quantum or Nonclassical number theory.

Short answer :

1.Yuri Matiysevich's undecidability (1970) in his MRDP theorem and his statement on the unsolvability of Hilbert 10th problem, adapted in his own investigations of Riemann problem.

2.Turing definition of uncomputability in his study of Riemann problem 1937 - 1953( Proc London Math Soc,3:99-117,1953 ).

3.Unpredictability in number - theoretical sense by G.Hardy - Montgomery - Keating (2020), and Tao's theory of " quasi-randomness of primes".

Long answer:

FORGOTTEN TURING MEANINGS.

Alan Turing exploits in code theory,AI and foundations of computer sciences are well-known for many. Less well known is that Turing was also interested in the search of alternative and counterexample for Riemann Hypothesis (RH).These interests culminated in 2 computer programs that he implemented on the " Manchester Mark 1"(MM1) in 1949 - 1950. Turing's 2 programs on MM1 fall squarely within Euclid - Eratosphenes styles of thinking on primes. Turing developed UUU adaptations for RH and he worked on the improvement to Skews's theorem (1933) hoping to remove RH. He had hoped that the MM1 would find a counterexample for Riemann Hypothesis. My essay demonstrates similar trend by justification of an existence of Quantum or Nonclassical number theory.

Dear Mikhail Alekseevich,

Very deep research and important ideas for building the ontological basis of Nonclassical number theory.

Best regards, Vladimir

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Very deep research and important ideas for building the ontological basis of Nonclassical number theory.

Best regards, Vladimir

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Michael,

Interesting discussion of symmetry in math and the quantum world. Have you seen the workshop of the Mathematical Sciences Research Institute on Quantum Symmetries (MSRI) that ends this month. Are discussion many of the issues you deal with. Considering that symmetry seems to be ubiquitous across math and science, your examples of single-handedness in biological molecules is fascinating. My rating is your 5th. Watch out for rate bombers who give 1s w/o comments. Thanks for your comments on my essay.

Jim Hoover

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Interesting discussion of symmetry in math and the quantum world. Have you seen the workshop of the Mathematical Sciences Research Institute on Quantum Symmetries (MSRI) that ends this month. Are discussion many of the issues you deal with. Considering that symmetry seems to be ubiquitous across math and science, your examples of single-handedness in biological molecules is fascinating. My rating is your 5th. Watch out for rate bombers who give 1s w/o comments. Thanks for your comments on my essay.

Jim Hoover

report post as inappropriate

Jim,

Thank you for your wonderful reference MSRI. I have some sort of collection of such ideas ( Homochirality and ABC, prime number theorems, Riemann zeros, etc ,please,see: www.oxford.academia.edu/MichaelPopov).

Thank you for rating. I am awaiting to receive my lost rating code number to rank your idea as well.

with the best wishes

Michael

Thank you for your wonderful reference MSRI. I have some sort of collection of such ideas ( Homochirality and ABC, prime number theorems, Riemann zeros, etc ,please,see: www.oxford.academia.edu/MichaelPopov).

Thank you for rating. I am awaiting to receive my lost rating code number to rank your idea as well.

with the best wishes

Michael

Dear Michael Alexeevich!

We looked at your essay today. In our opinion, the rating of your work should be high. We like your approach when the properties of numbers are related to quantum properties. This is a promising attempt, in our opinion. We ourselves acted as well. Once we formulated the hypothesis that the continuum of space corresponds to many real numbers, and many instants of time are rational numbers, a countable set.

Truly yours,

Pavel Poluian and Dmitry Lichargin,

Siberian Federal University.

report post as inappropriate

We looked at your essay today. In our opinion, the rating of your work should be high. We like your approach when the properties of numbers are related to quantum properties. This is a promising attempt, in our opinion. We ourselves acted as well. Once we formulated the hypothesis that the continuum of space corresponds to many real numbers, and many instants of time are rational numbers, a countable set.

Truly yours,

Pavel Poluian and Dmitry Lichargin,

Siberian Federal University.

report post as inappropriate

Dear Michael,

I greatly appreciated your work and discussion.

While the discussion lasted, I wrote an article: “Practical guidance on calculating resonant frequencies at four levels of diagnosis and inactivation of COVID-19 coronavirus”, due to the high relevance of this topic. The work is based on the practical solution of problems in quantum mechanics, presented in the essay FQXi 2019-2020 “Universal quantum laws of the universe to solve the problems of unsolvability, computability and unpredictability”.

I hope that my modest results of work will provide you with information for thought.

Warm Regards, `

Vladimir

report post as inappropriate

I greatly appreciated your work and discussion.

While the discussion lasted, I wrote an article: “Practical guidance on calculating resonant frequencies at four levels of diagnosis and inactivation of COVID-19 coronavirus”, due to the high relevance of this topic. The work is based on the practical solution of problems in quantum mechanics, presented in the essay FQXi 2019-2020 “Universal quantum laws of the universe to solve the problems of unsolvability, computability and unpredictability”.

I hope that my modest results of work will provide you with information for thought.

Warm Regards, `

Vladimir

report post as inappropriate

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