spin-gravity-introduction

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ARCHITECTONICS

From Cosmic Theories to Urban Development

Dr. Hossam Aboulfotouh

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Determining Planetary Spin and Musical Gravitation in the Spheres of Cosmic Systems of Perfect Numbers

Hossam M. K. Aboulfotouh, PhD*

* Lecturer, Architectonic Cosmic Theories and Development, Department of Architecture, Faculty of Fine Arts, Minia University, and Director, WPAHR-V, International Union of Architects-UIA. fotouh@mail.com

ABSTRACT.

We attempt to establish the architectonic, but simple, mathematics of three indeterminate cosmic laws: the law of numbers, the law of music of the spheres and the law of spin of the celestial bodies. Pythagoras and Plato discussed morally the first and the second laws. We prove architectonically that they are the three fundamental laws of the evolution of celestial systems and together form the musical theory of gravitation. Our theory is based on that numbers are originally physical systems; we propose the architectonic scenario of the evolution of cosmic-systems of numbers, e.g., atoms, solar systems, etc., using merely the thrust-method of a masonry arch. We attempt to prove that our solar system is architectonically the perfect number-28. Accordingly we formulate its set of architectonic equations concerning its topological transformation, its eleven hidden motions, its load bearing workability, its musical parameters, the spin of its planets, and the gravitation in its musical spheres.

Introduction

Section-1: The Law of Numbers

Section-2: The Law of Music of the Spheres.

Section-3: The Law of the Spinning Motion.

Section-4: Gravitation and the Music of the Spheres.

INTRODUCTION.

Pythagoras proved that musical intervals could be characterized by numerical ratios and proclaimed that there is an analogy between planetary distances and musical intervals1. In Timaeus2, Plato mentioned how God generated the numeric scale of musical intervals upon which he structured the solar system and how its diverse-spheres are interacting with its major sphere-of-the-same for conserving the perpetual motion of planets. However, his brilliant text lake the mathematical ground that supports his ethical scenario and thus the whole concept still trapped as moral paradigm until today. Similarly, the Pythagorean taxonomy and perhaps magnifying of perfect numbers is another intelligent but frozen concept that according to their definition3^,4, and that of Euclid3^,5 too, they disregarded, due to unknown reason, the relation between perfect numbers and the structure of cosmic systems. On the other hand, Einstein, in the General Relativity6, introduced the amazing postulation of curved space-time continuum: a gravitational field through which a planet will be in a continuous free fall around the sun. Besides, according to his theory, if most of the matter in the universe happens to be spinning, all of the space-time will be pulled around it7. However, why planets do spinning, with different cyclic rates, during the free fall still an open question. Until today, there is no architectonic mathematical formula to explain the relation between the order of a celestial body, its radius, its orbit's axes, and the cyclic rate of its spin. Lately, Luke Dones and Secott Tremaine have suggested that, huge Mars-size rocks may have caused Earth's rapid spin, i.e., from 200-hours-cycle into 24-hours-cycle; and, the larger the bodies that hit the Earth, the faster it will spin, Mewhinney said in NASA news8. On the contrary, about 2333 years ago, Plato concluded morally in many parts of his text2, perhaps based on Pythagoras's philosophy, that any thing in the cosmos either mortal or immortal, including the human body, works based on one law_.We may name it as "the harmonic tuning between a diverse and its whole-same." A diverse is any local orbit in a cosmic system and the whole-same is the outermost and the supreme orbit of that system. If that was correct, any motion should be the result of that law.

Establishing the architectonic mathematics that identifies the harmonic tuning between a diverse and its whole-same is, therefore, the major goal and the core contents of this work. Our path for realizing that starts by determining mathematically the basic cosmic laws that were discussed morally by both Pythagoras and Plato, i.e., the law of numbers and the law of music of the spheres. Whereupon, and due to that our primary concern is the motion in, and the stability of, the celestial systems; we attempt to determine a third cosmic law concerning the spin of the planets. Meanwhile, we prove that they are the three tectonic laws of the evolution of cosmic systems and together form the musical theory of gravitation. In short, we attempt to prove that gravitation is the carrying workability of a celestial body, and spin is a load transfer mechanism.

Our methodology is primarily based on merely the architectonic thrust-method of masonry or megalithic arches9^,10, e.g., the arches of Stonehenge in Salisbury, as we think it is likely to be a new gateway to understand the celestial structures and the planetary motions. Although, our methodology differs from that of the realm of modern physics, the reader whose background is within that realm or the scientists who already standing on the modern scientific frontier of physics, will detect that the laws of nature, particularly some of the factual and beautiful principles that were postulated in the Newtonian11 Relativity6^,11, Quantum12, and even Super string11^,13 theories, may be observed differently via merely an architectonic eye. We will not speak about these great theories in relation to the work in hand, since we rather propose an entirely different approach on the structural engineering law(s) of the cosmic-spherical-systems. We neither handle the issue in terms of energy nor in terms of how man observes such comotion. We rather focus on the tectonic laws that establish, stabilize and sustain the cosmic systems, including either the observed or the unobserved motions that take place within their spherical domains due to merely the applied load(s) on the system under consideration, and the corresponding compressive-stresses. We substitute the applied-load(s) with the corresponding travel-length in the periodic time of the system. However, by the end of this text, we will specify, in relation to the escape velocities' application of the Newtonian law of gravitation14^,15_, only the musical-note and its corresponding diverse-thrust in the planet's system that to which the escape velocity belongs. Upon that, we will hint to that anti-gravity may be possible form the architectonic point of view. Despite, our hypotheses may be seen, at the first look, as strange in comparison with the main stream of planetary theories, when testing its corresponding outputs of mathematical formulas based on using the data of the NASA's planetary fact sheets16a-d, and other sources17^,18, it may put our theory in the right perspective. We don't pretend that the proposed approach challenges, or competes with, any of the known great theories; we only attempt to prove that Pythagoras and Plato did not say myths. We hope that the critic reader sees the proposed approach as a sort of possible solution for at least one of the array of the scientific problems that face the scientific community today, adding at least a word in the book of knowledge of man.

The hidden message of this work is that the laws that govern the structure of the celestial systems may be primarily architectonic, which may concern only the harmonic property and carrying workability of these systems. The array of observed natural phenomena might be the outcomes of the architectonic design-and-build laws of the Geometer (the supreme architect) that we intended to highlight in this work. Besides, by the end of this text, the reader may detect that time may be only an idea in the observers' mortal minds that are hosted in, may be one of, the cosmic enclosure(s) of the Geometer. Thus, and then, time may be observed as the product of motions that take place only within that enclosure due to its compressive status. Without compression, i.e., outside the cosmic enclosure, the motions stop and the idea about time dismantles.

REFERENCES.

1. Peder, Olaf, Early Physics and Astronomy, A Historical Introduction, Cambridge University press, p53 & p120 (1993).

2. Plato, Timaeus, (330 BC.). part1-paragraph-6 http://psychclassics.yorku.ca/Plato/Timaeus

3. O'connor, J J & Ropertson, E F, Perfect numbers, (2001).

Http://www-history.mcs.st-andrews.ac.uk/history/HistTopics/Perfect_numbers.html

4. McLeish, John, Numbers: From Ancient Civilizations to the Computer, Flamingo, HarperCollins, London, chapter 6, 1992.

5. Euclid, Elements, Book IX, Proposition 36, (150 AD.).

http://www.educa.fmf.uni-lj.si/java/pck/ELEMENTS/bookIX.html

6. Einstein, Albert, Relativity: The Special and General Theory, Methuen & Co. Ltd., (1924). Http://www.marxists.org/reference/archive/einstein/index.htm

7. Samuel, Eugenie, If the Universe is Spinning, Here's How to Feel it, New Scientist, p17, (July 13, 2002).

8. Mewhinney, Mike, Huge Mars-size Rocks May Have Caused Earth's Rapid Spin, News release 93-03ar, NASA Ames Research Center (Jan. 15, 1993) http://amesnews.arc.nasa.gov/pages/releasearchive.html

9. Brick Industry Association, Technical Notes on Brick Construction, Structural Design of Brick Masonry Arches. (Oct. 1967) http://www.brickinfo.org/BIN/technotes/t31a.htm

10. Leontovich, Valerian, Frames and Arches, M.S., McGraw hill, (1959).

11. Hawking, Stephen, The Universe in a Nutshell, Bantam Books, New York (2001)

12. Davies, Paul, About Time, Simon & Schuster, New York, chapters 1, 2 &4 (1995)

13. Schwarz, Patricia, the official "Super String " web site http://superstringtheory.com

14. Yavorsky, B & Detlaf, A, Handbook of Physics, Mir Publications, Moscow, p996, p680,& p101 (1997)

15. Rogers, Melissa J.B, Vogt, G L & Vargo, M, The Mathematics of Micro Gravity, NASA, p11-12 (1997). http://www.hq.nasa.gov/education

16. Williams, David R., Planetary fact Sheets, NASA Goddard Space Flight Center, (June 2002)

a. http://nssdc.gsfc.nasa.gov/planetary/factsheet/sunfact.html ,

b. http://nssdc.gsfc.nasa.gov/planetary/factsheet/index.html ,

c. http://nssdc.gsfc.nasa.gov/planetary/factsheet/galileanfact_table.html , and

d. http://nssdc.gsfc.nasa.gov/planetary/factsheet/asteroidfact.html

17. Jewitt, David, Kuiper Belt, http://www.ifa.hawaii.edu/faculty/jewitt/kb.html

18. Martin, David, Kuiper Belt, NASA, (2003) http://solarsystem.nasa.gov/planets/profile.cfm?Object=KBOs

19. Vygodsky, M., Mathematical Handbook: Higher Mathematics, Mir Publications, Moscow, p810, (1971).

20. Gioia, A. Anthony, The Theory of Numbers: An Introduction, Markham Publication Company, Chicago, p25, (1970).

21. Serway, R.A., Physics for Scientists and Engineers: With Modern Physics, fourth edition, Saunders, p1367, (2002).

22. Frequencies of Musical Notes,

a. http://www.phy.mtu.edu/~suits/notefreqs.html

b. http://www.techlib.com/references/musical_notes_frequincies.htm

23. Oulsnam S R & Brothers, B G, Mechanics of Materials and Engineers, B I Publications, Bombay, p99-106, (1962).