ARCHITECTONICS

Dr. Hossam Aboulfotouh

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* 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

In Eq.21, since, V_d is cycles that the angular velocity of each is 360^o, then, V_d may represent the velocity of any point on the thrust P_d in any given time scale. Eq.21 implies that as the radius R_d increases, V_d reduces and when R_d equals R_X, then, V_d² =2p. In our solar system, R_d equals V_d² at nearly the median circle of the asteroid belt, where it is the neutral path of Cs₂₄₊₄. V_d is the product of the load that applies on its thrust due to the four directional motions of Cs₂₄₊₄ and R_d is the altitude or the floor-level of that load. The neutral path differs from the path of the mean orbital moment; the later is due to the ready state of the system, i.e., the system is ready to join with, or to carry other, systems, using its unladed orbiters that may be found near to its P_dM. The radius of the neutral path R_NP of our solar system may be given by R_NP²= R_d*V_d²_. Where R_d and V_d are the mean orbital radius (in million km. that = M_b) and the orbital velocity (per Earth-second) of such planet in our solar system, respectively.

Moreover, sincV_d² times R_d of any P_d in Cs₂₄₊₄ equals 2pR_X, thus the relation between the velocities of two orbiters (V_d1 & V_d2), in any given time-scale, and the mean radii of their diverse thrusts (R_d1 & R_d2) may be given by:

V_d1² * R_d1 = V_d2² * R_d2 (30)

If we substitute the radii in Eq.30 with their quantities from Eq.6 (R_d=24w_d⁴), we get the relation between the velocities of two orbiters and the imaginary cyclic frequencies of the radii of their diverse-thrusts.

V_d1 * w_d1² = V_d2* w_d2² (31)

Eq.31 shows that, in our solar system, the velocity for 0.01 of w_d= La₂#117 c/T_b (at 45 million km from the sun's center) will be 4 times the velocity for its second harmonic: 0.01 of w_d=La₃# 234 c/T_b (at 720 million km. from the sun's center). Increasing w_d by one octave means its quantity is doubled, its corresponding R_d is increased up to 16 times and its corresponding V_d is reduced down to its 1/4. Eq.30 and Eq.31 represent the harmonic law of traveling in a steering ethereal structure-SES, which now we can say it is composed from the thrusts of the rings (the harmonic fibers). We expect that this law should work not only in Cs₂₄₊₄ but also in any Cs or Bs in the cosmic enclosure, no mater what its order or size is.

Since SES is the plane of the equatorial thrusts of any system, and each of these thrusts is an equator of a harmonic orb (sphere) that its surface is built by multiple thrusts parallel to the equatorial plane, like latitudes, Eq.30 and Eq.31 also link these latitude-thrusts. Taking in consideration that the velocity of the latitude thrusts of any orb in Cs₂₄₊₄ in T_X is constant, due to conserving w_x. Moreover, due to that, the orbs and any celestial body are shaped by an array of parallel and semi-elliptic-thrusts; they are not perfect balls.

Linking the laws of traveling in SES of two systems, where one of them carries the other, e.g., SES of Cs₂₄₊₄ and SES of any of its planets, needs the following discussion. Since, the orbiters are running on like imaginary musical strings, they resonate and transfer their orbits' velocities V_d into the initialization or index-thrust of their systems that upon which the velocity of such point on any thrust in the orbiter's own system can be found, by Eq.30. Based on reviewing the published data concerning the observed velocities of satellites of planets16c, we found that the index-thrust for Earth, Mars and Pluto is the P_ZZ (equals 2pP_Z) of the main thrust of such contour level of the steering mechanism. However, for planets of the second octave of Bs₂s' rings, excluding Jupiter, P₃ was their index thrust. Then, for establishing their equations the proposed contour-levels contain the following thrusts:

(P_Z3-P₃-P_M3), (P_ZZ2-P_Z2-P₂-P_M2), (P_ZZ1-P_Z1-P₁-P_M1) and (P_ZZ0-P_Z0-P₀-P_M0). Where P_Z3=S*P_Z2 =S²*P_Z2=S³*P_Z1=S⁴*P_Z0. Besides, P_ZZ2=2pP_Z2, P_ZZ1=2pP_Z1 and P_ZZ0=2pP_Z0. Then, we may put Eq.9 in the following form,

a *P_Z2= (2p)²* P₃ (32)

Similarly,

a *P_Z1 = (2p)²* P₂ (33), and

a *P_Z0 = (2p)²* P₁ (34)

Then, from Eqs.32, 33 and 34 we get,

a³*R_ZZ1= (2p)⁵* R_d (35), and

a ⁴*R_ZZ0 = (2p)⁶* R_d (36)

Then, Eq.9 identifies the index radius R₃ for Saturn, Uranus, and Neptune. Eq.35 identifies the radius R_ZZ1 of the index-thrust of Pluto. Eq.36 identifies the radius R_ZZ0 of the index-thrust of both Earth and Mars. However, we found that the radius of Jupiter's index-thrust R_3- equals to R₃ times the fourth root of 2p(1.5832); i.e., it equals about 10 times of its R_M3. It seems that there may exist some intervals between P₃ and P_Z3, having the factors: (2p)^2/3 , (2p)^1/2, (2p)^1/3 and (2p)^1/4_. Thus, the equation of Jupiter's index thrust is,

a *R_3-= (2p)^5/4 * R_d (37)

Based on Eq.36, R_ZZ0 for Earth equals 517 km., then if we put in Eq.30 the velocity of R_ZZ0 equal to the V_d of the Earth (29.78 Km/second), the velocity of the Moon's orbiting thrust that its mean radius equals 384,400 km would be equal to 1.06 km/second. By Eq.30, V_d for Jupiter (at R_d equals 778.56*10⁶ km), in relation to V_d of the Earth, equals 13.054 km./second. It is also the veloof the index thrust of Jupiter that has a mean radius R_3- equals 739,003 km, according to Eq.37. Then, by Eq.30, the velocity of Callisto's thrust that has a mean radius equals 1830,000 km. is 8.29 km./second. For Mars, by Eq.36, its R_ZZ0 is equal to 68.49 km and according to NASA16b its V_d=24.13 km./second, then, by Eq.30, the velocity of the thrust of Phopos is 2.06 km./second and the velocity of the thrust of Deimos is 1.30 km./second. Further, we expect that, as V_d of the planet changes during its orbiting motion due to the change in the load vectors between the perihelion and the aphelion of its P_d, the velocity of any point of the index-thrust of the planet should also change. Accordingly, the velocities of the thrusts of the planet's system will also change during its T_d. Thus, a satellite will have different orbiting time for each cycle of it during the T_d of its planet.

Now, the stirring motions in Cs₂₄₊₄, are the motions of the main X-thrusts of each contour level of both the harmonization and the steering mechanisms of such system-carrier-orbiter that namely are: P_o , P₁ , P₂ , P₃ , P_d , P_E , P_F , and P_Zc. As thrusts, they represent seven motions plus the four hidden motions of P_Zc Thus the stirring motions for each planet are 11 at most; we observe only two of them.

Further, for the system-carrier orbiters, we assume that their M_b equals 100 km., i.e., it equals 10^-4 of M_b of Cs₂₄₊₄; we use 10^-4 as a reduction interval between M_b of the mother system and M_b of its sub-systems, since the mother system is of the fourth order. Accordingly, Eq.6 may be used to get the imaginary cyclic frequency of any radius in the planets' system, as they take place within the jurisdiction of Cs₂₄₊₄. Besides, according to the Newtonian law of gravitation, the escape velocities from the planets have been identified14^,15. Then, by Eq.30, we may identify, for each planet, to which thrust of its system the escape velocity belongs. We found that the escape velocity is related to a thrust in the planets' systems that the imaginary frequency w_d of its mean radius is 1/100 of the musical note La₂=110 c/T_b or its first harmonic La₁=55 c/T_b, as M_b=100 km. The former is w_d for the radius 3,514 km and the later is w_d for the radius 219.6 km.

For Earth, by Eq.30, in relation to its index thrust, the velocity of that La-110-thrust is 11.42 km/second. For Mars, the velocity of the thrust that its radius equals 2p the radius of La-55-thrust, at 1,379 km, is equal to 5.37 km/second. For Jupiter, the velocity of the thrust that its radius equal to (2p)^5/4 of La-110-thrust, at 34,956 km, is about 60 km/second. For Saturn, the velocity of the thrust that its radius equal 2p of La-110-thrust, at 22,079 km, is about 39.78 km/second. For Uranus and Neptune, if their data is correct, the velocity of the thrust that its radius equal (2p)^2/3 of La-110-thrust, at 11,819 km, is about 22 and 24 km/second, respectively; however, if they have the same case as Saturn, their escape velocities at 2p of La-110-thrust will be 16.11 and 17.61 km/second, respectively. For Pluto, the velocity of the thrust that its radius equal to (2p)^1/2 of La-55-thrust, at 559 km, is 0.91 km/second.

Moreover, we think that each system-carrier-orbiter in Cs₂₄₊₄, as a sub-system, has its own protecting rings that form its equatorial disk, and similarly the corresponding array of orbs. We assume that the planets' rings have the following order from the planets surface: 4 rings correspond to Bs₄ of Cs₂₄₊₄, one ring gap, 12 rings correspond to Bs₃s of Cs₂₄₊₄, and 3 rings as a cover for the planet's system. The cover of each is one level below the cover of Cs₂₄₊₄. Accordingly, the radius of the planet's perimeter of the same is about 100 times its R_W. Further, we found that the observed rings of some planets take place within the limits of HMT of the combined ring of the planet's system. Since the outer ring's radius of the planet is 100 times its R_W, by Eq.6 and Eq.4, the radius of the perihelion R_PH of HMT of the combined ring for any planet is (1/3)^-1/4 or 1.234567901 of its R_W. In addition, some observed rings start close to the neutral path of the planets' system, similar to the asteroid belt of Cs₂₄₊₄, i.e., at the thrust that its mean radius R_NP equals to square the velocity of that radius, R_NP=V_NP². Thus,

R_I* V_d²= R_NP² (38)

Where, V_d is the orbiting velocity of the planet in second, and R_i is the radius of the index thrust of the planet (R₃, R_3-, R_ZZ1 or R_ZZ0) in 100 km that = M_b of the planets; and R_NP will be in 100 km. By Eq.38, R_NP for Jupiter is equal to 1,122.18 hundred km (112,218 km), however, its R_PH equals 88,148 km. R_NP for Saturn is 59,110 km. But its R_PH equals 74,404 km. R_NP for Uranus is 23,937 and its R_PH equals 31,554 km. R_NP for Neptune is 26,166 and its R_PH equals 30,572 km.

Furthermore, since satellites are orbiters in the sleeping mood, they do not spin. However, based on reviewing the data of the satellites in our solar system, due to that, they have different working and orbiting radii for the same planet (like the case of Jubiter16c), we think they are orbiting the nuclei (plants) of their systems based on a mutual zero-load-relation. Imagine that the satellite is a nucleus of such Bs, where its equatorial perimeter P_WS is the module M_b of that Bs. Besides, the thrust X of that Bs has an imaginary cyclic frequency w_La that always being the note La of any musical octave, e.g., La₂#110, La₃#220, La₄#440, or La₅#880 cycles/s, or a above. If we imagined, the satellite carries its planet that is located on P_Z of the satellite's system, the load of the orbiting moment that is represented in travel distance by that P_Z would be equal to the load of the orbiting thrust of the satellite. Therefore, a natural satellite does not carry any load and accordingly it becomes in the sleeping mood. Then, the load vector R_Z of the satellite's system equals to the mean orbiting radius of the satellite. Thus,

R_WS * w_La = R_dS (39)

Where, R_WS is the mean equatorial radius of the satellite, R_dS is its mean orbiting radius, and w_La is the frequency of such La note, or close to it. For Earth, the corresponding frequency of X of the moon's system is La₃#220 c/T_b. For Jupiter, w_La for Callisto, Ganymede, Europa and Io are about La₄#440, La₃#220, La₃#220 and La₂#110 c/T_b, respectively. The rest of the satellites in our solar system have similar cases, even, those that are only Cs₂₄₊₄'s derbies like Phopos and Deimos of Mars. In most cases, w_La of X of the satellite is 100 times w_d of the La-thrust that is below w_d of the mean radius of the satellite's orbiting-thrust. For Earth, w_d of the Moon's orbiting-thrust is 3.55 c/T_b; and 0.01 of the frequency of the La note below it, is 2.2 c/T_b.

Based on the postulation behind Eq.39, we may attempt to answer "what is the escape velocity?" It is the state at which, the travel length of any point on the equatorial thrusts P_Z, X and P_M of a body standing on a planet's surface becomes perpetually equal to the travel length of 2p the thrust that to which the escape velocity belongs, in T_d of that thrust. If a body reaches this state, we expect it will be able to propel itself up to the perimeter of zero-load of that thrust in order to become in the sleeping mood while orbiting the planet at that level. For Earth, 2p the radius of its La-110-thrust is 22,079 km. Thus, as an example, any point on the thrusts P_Z, X and P_M of a body that its R_Z=1.0 meter, should perform 255,1,605 and10, 088 c/second respectively, in order to be able to propel it self up to that zero-load orbiting thrust. This body has a radius equal to R_M (2.53 cm) and will perform a spin equal to 1,605 c/second, while its three thrusts are performing the mentioned cycles until it reaches the sleeping mood level. Taking in consideration that, the motions of the contour thrusts of the body generate its spin and not the opposite.

The other possible scenario is that the body in the above example will be like an orbiter in the ready state. As mentioned in the previous sections, each thrust represan X of a separate system while it still part of the mother-system that to which it belongs and both the thrust and its P_Z have the same angular velocity. Then, that body will be free to go to the P_Z of La-110-thrust. Like an orbiter in the ready state, the body will, imaginary, go to that P_Z in order to carry other system and return back to a lower thrust that its load equals the load of the system that the body has carried. However, due to that, the body has been sent to that P_Z in the wrong time, it will find nothing to carry, because the body is not a real orbiter of such Bs₁ or above. Besides, as said earlier, if it was so, the orbiter(s) of a Bs that was hosted within Cs₂₄₊₄, via the hooking process of carrying will be no longer in the ready state as our Moon. Thus, the body will go for a long sleeping mood on that P_Z. Further, if that body was a real orbiter of such Cs, and takes place on its P_dM, and due to any external factor has been sent to P_Zc (or P_X) of its system in the wrong time, we expect it will do the same as above. If that process has happened again to send it in a wrong time to the system's P_ZZc (or P_ZX) or far beyond it, we may say as known the system has become in the state of ionization.

If we imagine that our solar system is like a Bs (Bs₂₄), that its P_dM and P_ZX are like X and P_Z of that Bs, then the rest of the 24 of orbiters of our solar system will be standing near to its P_dM; the center of their thrust drivers is moving on the P_dM. They are in the ready state for hooking and carrying any Bs passing near to P_Zc, adding a new planet to the system. The orbiters in the ready state, therefore, represent the future of their complex systems because they bring new worlds into them. We may also observe a black hole as a very giant Cs. Its multi orbiters in the ready state are hooking every passing by system. Using the image of Einstein, if our solar system has been hooked by a black hole, our world will be then the future of that black hole. However, if two Cs of the same order and size, e.g., two of Cs₂₄₊₄, have approached each other, they will hook each other based on the mutual zero-load relation; each will then stand on the P_Zc of the other system, like may be the binary stars.

Now, we come to the most famous question: why bodies fall down, towards the center of the planet? Based on what we have postulated so far, and following the postulation of Plato, all bodies in the cosmic enclosure, including animals, should have at least one contour level of the steering mechanism like a Bs: the main diverse-thrust X, the minor diverse-thrust P_M and the whole-same P_Z. If such body is standing on a planet's surface and cannot escape from it, it is neither in the ready state nor in the complete sleeping mood. Any body, according to its process of evolution and location, if it is not in the ready state it will prefer to be in the complete sleeping mood like satellites. However, if this body is in a location that its contour-thrusts do not perform the needed cycles that enable it to go up to the P_Z of the La-110-thrust, it will then prefer to go down one octave to P_Z of the La-55-thrust at a radius equals 1,376 km. Logically, it will prefer to go down to the thrust that its travel length is equal to the travel length of the three-contour-thrusts of it steering mechanism, per T_d of X (or 1/(2p)) of that thrust, in order to be in the sleeping mood.

Based on that postulation, an asteroid will not hit our earth if the travel length of its contour thrusts where more than the travel length of P_Z of the La-220-thrust of the Earth. It will orbit the Earth instead, similar to the case Deimos and Phopos of Mars. Since, the La-110-thrust of Mars is about 117 km above its surface, Phopos stands on nearly the P_Z of the La-110-thrust and Deimos stands nearly on the P_ZZ of the La-55-thrust of Mars.

With this end, we comeback to where we have started. As Plato has postulated in deep2, any motion in the cosmic enclosure should be the output of one law "the harmonic tuning between a diverse and its whole same"; i.e., conserving the musical note of the whole-same that to which a diverse belongs or within which a diverse is temporally hosted.

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).

Introduction

Section-1: The law of Numbers

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

Section-3: The law of the Spinning Motion.

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