EJAS-11792.pdf

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European Journal of Applied Sciences – Vol. 10, No. 1

Publication Date: February 25, 2022

DOI:10.14738/aivp.101.11792. Elnaschie, M. S. (2022). Complimenting the Deep Ideas of Deutsch-Marletto Constructor Theory with the Computational Power of

the Pythagorean-Plato Number System. European Journal of Applied Sciences, 10(1). 520-524.

Services for Science and Education – United Kingdom

Complimenting the Deep Ideas of Deutsch-Marletto Constructor

Theory with the Computational Power of the Pythagorean-Plato

Number System

M. S. Elnaschie

Distinguished Professor, Department of Physics Faculty of Science

University of Alexandria Alexandria, Egypt

ABSTRACT

Starting from the realization that constructor theory is an extension of David

Deutsch's quantum Turing machine while E-Infinity Cantorian space time is

essentially a transfinite golden mean computer which is nearest to Alan Turing’s

work, it follows inevitably that merging the deep ideas of Deutsch-Marletto with the

computational power of E-Infinity theory would mean that the Pythagorean

Platonic golden mean number system lies at the very root of physical science, art,

philosophy and even consciousness. This has led to a truly great synthetic a priori

as anticipated by the remarkable relatively recent constructor theory as well as the

centuries old teachings of the acclaimed school of Alexandria. All these momentous

conclusions were experimentally confirmed by the recent astounding discovery

that gravity is of a quantum origin.

Keywords: Constructor theory, E-infinity theory, Cantorian spacetime, Golden mean

number system, Unification of science art and consciousness.

IN LIEU OF INTRODUCTION, ANALYSIS AND CONCLUSION

The present short note was initially motivated by two remarkable scientific revelations. The

first is essentially mathematical and philosophical namely, constructor theory which was

recently advanced by some of the most influential figures in theoretical and mathematical

physics [1-3]. The second is an experimental, truly earth shattering finding namely that gravity

is basically quantum mechanical by its very nature [4]. Putting these two novel discoveries

together we are led to the unsuspected yet unavoidable conclusions that we may have

overlooked something simple but fundamental for almost half a century. This obvious and

almost trivial oversight means simply that at the root of all the deep questions of physics there

lies the number system we use [ 5-16]. That way the difference between classical and quantum

physics disappears or at a minimum is blurred and all what is left is the centuries old Platonic

golden mean number system developed long ago in the famous shrine of science and

philosophy of the Greek-Italian-Egyptian city of Alexandria [8-11] which was established by the

legendary Macedonian Alexander the Great.

It is inescapable to conclude joyfully that all what we need is the golden mean quasi Turing

computer which is fully realized by the said Golden mean number system of Alexandria as we

hope to show shortly in the rest of the present mini paper [1-5].

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Elnaschie, M. S. (2022). Complimenting the Deep Ideas of Deutsch-Marletto Constructor Theory with the Computational Power of the Pythagorean- Plato Number System. European Journal of Applied Sciences, 10(1). 520-524.

URL: http://dx.doi.org/10.14738/aivp.101.11792

In fact, even a fleeting look at Refs. [1] to [7] it becomes obvious that we have been missing a

very obvious fact which is far deeper and far simpler than what we could have ever imagined.

Let us start by a quick analysis of the content of the above said references in the light of our

own voluminous publications cited in Refs. [5-11]. This task is best performed and more easily

achieved if the reader has a good look at the following sections namely A to D as well as the

attached notes.

CONSTRUCTOR THEORY

In [3] the question was posed : Will the constructor theory rewrite physics? This theory was

developed by David Deutsch and Chiara Marletto. It basically examines if a task is possible or

not and relates information to quantum computation. von Neumann's contra factual is among

many other related facts and subjects [1-8]. The best and simplest example for that is Newton’s

falling apple i.e., classical gravity.

A new gravity experiment

In [4] an unexpected experiment posed an earth-shuttering question namely: Has a new

experiment just proved the quantum nature of gravity [Big Think]. (See the journal "Science"

2022) [4].

Inter Cantorian E-Infinity theory and its underpinning golden mean number system.

[See the work of the school of Cantorian spacetime theory][6-18].

A new synthetic a priori leading to a fundamental unification at the root of

theoretical physics (see the work of Emanuel Kant. Wikipedia).

IMPORTANT NOTES FOR THE PROSPECTIVE READERS

David Deutsch is a physicist who became a pioneer in the field of quantum computation by

formulating a quantum Turing machine and giving an algorithm design to run a quantum

computer. Born to a Jewish family in Haifa, Israel on 18 May 1953 (ten years younger than the

Author). He is a student of Dennis Sciama and a fellow of the Royal Society. His acclaimed book

is: The fabric of relativity. He is nearest to E-Infinity via Alan Turing's machine [1-3].

Constructor theory is Deutsch's Theory of Everything and may be replacing A. Turing’s

machine. Our transfinite golden Turing machine can in turn replace Cantorian spacetime theory

and consequently we have the fastest computer in the universe, namely the golden mean

number system quasi computer [1-3], [5-8].

Dr. Chiara Marletto. Theoretical physicist at Wolfson College, Oxford. She is a pioneer in the

field of constructor theory which is a generalization of the quantum theory. She is the co- author

of the great David Deutsch [1-3].

Relation between geometry and numbers by Kevin Hartnett [9]

Quest to build space time out of quantum particles (Quanta Magazine) by Adam Becker [2021].

Has a new experiment just proved the quantum nature of gravity? Starts with a Bang. January

18 (2022). https:// jgthjnj.com [4].

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European Journal of Applied Sciences (EJAS) Vol. 10, Issue 1, February-2022

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How infinite series reveal the unity of Mathematics. See article in Quantum Magazine [2022] by

Steven Strogatt.

LITERATURE FOR FURTHER RELEVANT GENERAL READING

The work of Garnet Ord, Laurent Nottale and M. S. Elnaschie, Prof. Ji H. He and L. Crnjac [5-11].

The books and papers of Prof. Scott Olsen [8], [19, 20], [23].

E-Infinity communications [see for instance Google. https://e-inifinity- energy.blogspot.com

[24].

The work of G. 'tHooft, D. Gross, M. Feigenbaum, I. Prigogine, Prof. M. Habeeb, Prof. P. Auffrey,

Prof. Herman Otto, and the great Prof. Otto Rössler.

[9-21].

Non linear dynamics and Fractals [5-21] 3.6. One sentence conclusion:

The golden mean number system is the only number system which includes all integers,

rational and irrational numbers in addition to zero and countable as well as uncountable

infinities in a natural way and does not break down anywhere. It is the mathematics of the

constructor theory and the lingua franca of nature and consequently it is the foundation and

unification of rational existence [1-21]. To put it succinctly, the golden mean number system is

the perfect mathematic required by the perfect philosophical constructor theory of David

Deutsch [1-3]which unified the ununifiable and this may be shown via the topology of Mauldin- William's golden mean Cantor set [5-23].

ACKNOWLEDGEMENT

The Author is deeply and truly indebted to Professors Ji Huan He and L. Marek-Crnjac without

their hard and dedicated work, he would not have been able to achieve much. On a very broad

and "grass root" level, the discussions and support which the Author received from H. E. Prof.

S. Al Athel could not be overestimated.

Similar impulses and encouragement through numerous ways came to the Author from his

dearest friends: Otto Rössler and A.M. Helal who have also contributed many fundamental ideas

to the Author's work. Last but not least, the Author has benefited greatly from the work of

imminent and great scientists such as G. 'tHooft, R. Penrose, D. Gross, M. Feigenbaum, I.

Procaccia, Herman Otto and Shokri Nada. The Author would like to apologize for

unintentionally omitted names of many colleagues, friends and students due to space limitation

and the usual fading memory of the unavoidable old age.

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URL: http://dx.doi.org/10.14738/aivp.101.11792

References

[1] David Deutsch. Constructor theory. Synthese 19. pp. 4311-4359. 11 April [2013]. Springer.

[2] D. Deutsch and C. Marletto. Constructor theory of Information proceedings of the Royal Society 4.

Mathematical, physical and engineering sciences 471. no. 2174 [2015]. February p 2014054 (18 pages).

[3] YouTube video. http://www.youtube.com/watch?v=hyc97J2MZlo. Will Constructor theory rewrite physics?

[4] Key Takeaways. Has a new experiment just proven the quantum nature of gravity?

https://bigthink.com/starts-with-a-bang/quantum gravity. January 18 [2022].

[5] Mohamed S. El Naschie. High energy physics and cosmology as computation. American Journal of

computational Mathematics. vol.6 No. 3. January 2-16. pp. 165-199 (See also the reference therein).

[6] L. Marek-Crnjac and J. Huan He. An invitation to El Naschie's theory of Cantorian spacetime and dark energy.

International Journal of Astronomy and Astrophysics [2013] vol. 3 no.4. December 2013. pp. 464-471.

[7] M.A. Helal, L. Marek-Crnjac and J.H. He. The three page guide to the most important results of M. S. Elnaschie's

research in E-Infinity quantum physics and cosmology. Open Journal of Microphysics [2013]. Vol. 3 No. 4 pp.

141-145. November 21 [2013].

[8] Scott Olsen, Leila Marek-Crnjac, Ji-Huan He and M. S. El Naschie. A Grand Unification of Sciences, Arts and

Consciousness: Rediscovering the Pythagorean Plato's Golden mean number system. Published by Scott Olsen.

P.O. Box 3612. Ocala, Florida 34478. First published 2021. ISBN: 978-1-7923-7683-7.

[9] Kevin Harnett. Mathematicians explore Mirror Link between two geometric worlds. Published

2018.www.quantamagazine.org. Quanta Magazine.

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S & F. volume 30. issue 5. December 2006, pp. 1025=1033.

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simulation science and technology. Vol. 2 (January-December 2018). pp. 23-33.

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issue 4 [2007]. pp. 787-793.

[13] Ji Huan He and M. S. El Naschie. Transfinite Physics. A collection of publications on E- Infinity Cantorian

spacetime theory. Shanghai-China [2005]. ISNN 988-98846-5-8.

[14] Edward Witten (Editor). Einstein in Alexandria. Publisher Bibliotheca Alexandrina. Alexandria - Egypt

[2006]. 179 pages.

[15] Peter Weibel, Garnet Ord, Otto E. Rossler (Editors). Spacetime physics and Fractality. Festschrift in honor of

Mohamed El Naschie on the occasion of his 60th birthday. Springer - Vienna - New York [2005].

[16] M. S. El Naschie. On a class of general theories for high energy particle physics. C, S & F 14(2005) pp. 649-

668.

[17] M. S. El Naschie. On a Fuzzy Kahler-like Manifold which is consistent with the two slit experiment. Invited

article for World year of Physics in 2005.International Journal of Nonlinear Science and Numerical Simulations. 6

(2) pp. 94-97 [2005].

[18] M. S. El Naschie. Ji-Huan He's ten dimensional polytop and high energy particle physics. International

Journal of Nonlinear Sciences and Numerical simulations. 8 (4) pp. 475-476 [2007].

[19] M. S. El Naschie. Towards a quantum Golden field Theory. International Journal of Nonlinear Sciences and

Numerical Simulation. 8(4) pp. 477-482 [2007].

[20] Scott Olsen. A Grand unification of the Sciences, Art and Consciousness: Rediscovering the Pythagorean

Plato's Golden Mean Number system. Kindle Edition. https://www.amazon.com/Grand-unification-Sciences- Arts-Consciousness- ebook/dp/Bogcck888F. (195 pages $19.95) (August 10, 2021).

[21] Scott Olsen, L. Marek-Crnjac, Ji-Huan He and M. S. El Naschie. A Grand Unification of Sciences, Arts and

Consciousness. Rediscovering the Pythagorean Plato's Golden Mean number system. Journal of Progressive

Research in Mathematics. ISSN: 2395-0218. vol. 16, issue 2. Published online. May 13 [2020]. pp. 2888-2931.

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[2011]. pp. 25-38.

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