whole-numbers

WHOLE NUMBERS.

The Solar System is full of close-to-perfect WHOLE NUMBERS that are inexplicable in terms of Newtonian physics. They cannot be dismissed as chance occurrence. The only possible explanation is that an Intelligent Agency has (very cleverly) assigned orbital and rotation periods to precise values that would deliberately configure these close-to-perfect WHOLE NUMBERS. The only possible “motivation” for the creation of these very precise configurations (apart from a love of beautiful mathematical configurations purely for their own sake – for the “aesthetic” appeal – for the “artistry” involved) is that they are intended to constitute a “message” for OUR attention – the “message” being – “This is MY WORK!” To anyone prepared to study these configurations, they are of breathtakingly transcendent beauty. For Humankind to ignore or dismiss these beautiful configurations (or to permit the atheists to intimidate or “brainwash” them) is to be a species unworthy of the Cosmos into which we are born.

Here are some examples:-

EXAMPLE 1. The (Directed Number) SUM of the orbital periods of The Primary Satellites of The Four Giant Planets = 25.99998857 Earth sidereal days.

EXAMPLE 2. There are just Three Inner Solar System Satellites. The PRODUCT of their orbital periods = 10.99984427

EXAMPLE 3. The SUM of the (sidereal and synodic) rotation periods of The INNERMOST Satellites of The Inner Solar System = 186.000078 Earth days.

I can provide a profusion of similar examples. No academic astronomer would suggest that natural physical laws could configure these close-to-perfect WHOLE NUMBERS. In that case, the only available explanations are – chance occurrence or Intelligent Design.

I will now provide two separate rigorous mathematical demonstrations showing conclusively that chance occurrence cannot possibly be the explanation for the profusion of close-to-perfect WHOLE NUMBERS in The Solar System.

DEMONSTRATION 1.

(A). The SUM of the (sidereal and synodic) rotation periods of The INNERMOST Satellites of The Inner Solar System = 186.000078 Earth days.

(B). The (Directed Number) SUM of the orbital periods of The Primary Satellites of The Four Giant Planets = 25.99998857 Earth sidereal days.

(C). The Earth (sidereal) Year exceeds The SUM of the synodic revolution periods of Uranus’ Five LARGE Satellites by 335.0000047 Earth days.

(D). Uranus has Five LARGE Satellites. Arranged in ascending orbit order, they are:- Miranda, Ariel, Umbriel, Titania, and Oberon. On this basis, Ariel, Umbriel, and Titania form a “consecutive series” of satellites. The SUM of the orbital and rotation periods of these three satellites = 30.74085224 Earth days. The SQUARE of this number = 944.9999964

(E). Earth and Mars are neighbor planets. The Moon is Earth’s Primary Satellite, and Phobos is Mars’ Primary Satellite. The SUM of the rotation periods of Earth and The Moon exceeds Phobos’ rotation period by 28.00002043 Earth days.

(F). Mars and Jupiter are neighbor planets. Mars’ Primary Satellite is Phobos, and Jupiter’s Primary Satellite is Ganymede. The SUM of the synodic rotation periods of all the bodies of The Jupiter System out as far as (and including) Ganymede is equal to 46.00002 Phobos orbital periods.

(G). Ganymede is Jupiter’s Primary (ie:- largest) Satellite. During TWO Sun oscillation periods, the bodies of The Jupiter System that are inferior to (ie:- more “central” than) Ganymede rotate altogether a total of 2.999988882 rotations.

(H). During FOUR Sun oscillation periods, The INNERMOST Satellites of The Superior Planets, out as far as (and including) Uranus revolve synodically altogether a total of 4.9999901 revolutions.

I will now provide a mathematical demonstration showing that these eight close-to-perfect WHOLE NUMBERS in The Solar System cannot be explained as chance occurrence.

We will assume that there cannot be in excess of twenty thousand possible relationships between various Solar System bodies. (This is an over-estimate!)

On this basis, we have a list of 20,000 supposedly randomly generated numbers, all with six or more digits following the decimal point. There exists a suspicion that not all these numbers are randomly generated. The reason for this suspicion is that EIGHT of these numbers are very (very, very!) close to perfect WHOLE NUMBERS. It is suspected that these eight numbers have been deliberately added to the list, and are NOT RANDOMLY GENERATED.

These eight numbers are as follows:-

335.0000047

944.9999964

186.0000178

25.99998857

28.00002043

46.00002

2.999988882

4.9999935

Of these eight numbers, the number 28.00002043 is the furthest from a perfect whole number.

The probability (p) that any single specific randomly generated number will be this close to a perfect whole number is calculated in the following manner:-

p = (0.00002043 x 2) = 0.00004086

The number of “successful outcomes” (ie:- very close to perfect whole numbers) = r = 8.

The probability that 20,000 randomly generated numbers will include eight numbers as close to perfect whole numbers (as the eight numbers listed above) is calculated in the following manner:-

p(r ≥ 8) = ^20,000C₈ x (1 minus 0.00004086)^19,994 x 0.00004086⁸ = 0.000002176

This is odds against chance occurrence of 1 chance in (1 ÷ 0.000002176) = 1 chance in 459,523 – that is one chance in four hundred thousand!

In that case, these 20,000 supposedly randomly generated numbers are NOT all randomly generated. The eight close-to-perfect whole numbers (or some or most of them) must have been deliberately added to the list.

I will now provide the numerical data and calculations to substantiate items A to H above.

(A). The SUM of the (sidereal and synodic) rotation periods of The INNERMOST Satellites of The Inner Solar System = 186.000078 Earth days.

The Sun’s INNERMOST Satellite (planet) is Mercury.

Mercury and Venus have no satellites.

The Earth’s INNERMOST Satellite is The Moon.

Mars’ INNERMOST Satellite is Phobos.

Mercury sidereal rotation period = 58.6462 Earth days.

Mercury synodic rotation period = 69.8636 Earth days.

The Moon’s sidereal rotation period = 27.321661 Earth days.

The Moon’s synodic rotation period = 29.5305882 Earth days.

Phobos’ sidereal rotation period = 0.31891023 Earth days.

Phobos’ synodic rotation period = 0.319058343 Earth days.

The SUM of these six periods = 186.0000178 Earth days.

Data sources:- For Mercury sidereal and synodic rotation periods – Appendix 2, Section 13. For The Moon and Phobos sidereal rotation periods – Appendix 2, Section 22. For The Moon’s synodic rotation period – Appendix 2, Section 3 For Phobos’ synodic rotation period – Appendix 2, Section 19. Note:- The orbital and rotation periods of the Moon and Phobos are the same, due to “tidal locking”, and likewise their synodic revolution periods and synodic rotation periods are the same.

(B). The (Directed Number) SUM of the orbital periods of The Primary Satellites of The Four Giant Planets = 25.99998857 Earth sidereal days.

The Four Giant Planets are:- Jupiter, Saturn, Uranus, and Neptune.

Jupiter’s Primary (ie:- LARGEST) Satellite is Ganymede.

Saturn’s Primary Satellite is Titan.

Uranus’ Primary Satellite is Titania.

Neptune’s Primary Satellite is Triton.

The orbital periods of these four satellites are as follows:-

Ganymede (which has prograde revolution) PLUS 7.15455296 Earth days.

Titan (which has prograde revolution) PLUS 15.94542068 Earth days.

Titania (which has prograde revolution) PLUS 8.7058703 Earth days.

Triton (which has RETROGRADE revolution) MINUS 5.8768441 Earth days.

The Directed Number SUM of these four periods = 25.92899984 Earth (solar) days, which is equal to (25.92899984 ÷ 0.997269663) = 25.99998857 Earth sidereal days. (The Earth sidereal day = 0.997269663 Earth solar days).

Data sources:- To confirm the orbital periods of Ganymede, Titan, Titania, and Triton – Appendix 2, Section 22. (You will see the letter R directly following Triton’s orbital period in the table, indicating that it has retrograde revolution.) To confirm that the four mentioned satellites really are the Primary (ie:- LARGEST) Satellites of their relevant planets, and to confirm which are The four Giant Planets – The Planetary Scientist’s Companion, by Lodders and Fegley, published by Oxford University Press, 1998, Table 2.4

(C). The Earth (sidereal) Year exceeds The SUM of the synodic revolution periods of Uranus’ Five LARGE Satellites by 335.0000047 Earth days.

The synodic revolution periods of The Five LARGE Uranus Satellites (expressed in Earth days) are as follows:-

Miranda 1.413549045 and Ariel 2.520586134 and Umbriel 4.144735674 and Titania 8.708338379 and Oberon 13.46914569

The SUM of these five periods = 30.25635533 Earth days.

The Earth (sidereal) Year = 365.25636 Earth days.

The Earth (sidereal) Year exceeds The SUM of the synodic revolution periods of Uranus’ Five LARGE Satellites by 335.0000047 Earth days.

Data sources:- For the Earth (sidereal) year – Appendix 2, Section 1. For The LARGE Uranus Satellite synodic revolution periods – Appendix 2, Section 22. For The Earth sidereal year – Appendix 2, Section 1.

The orbital periods of these three satellites (expressed in Earth days) are:- Ariel 2.52037932 and Umbriel 4.1441765 and Titania 8.7058703 The rotation periods of these three satellites (expressed in Earth days) are:- Ariel 2.52037932 and Umbriel 4.1441765 and Titania 8.7058703 (exactly the same as their orbital periods, due to “tidal locking”) The SUM of these six periods = 30.74085224 Earth days. The SQUARE of this number = 944.9999964

Data source:- For the orbital periods of Uranus’ Five LARGE Satellites, and to confirm their order of distance from the parent planet – Appendix 2, Section 22.

Earth rotation period = 0.997269663 Earth (solar) days.

The Moon’s rotation period (which is the same as its orbital period, due to “tidal locking”) = 27.321661 Earth days.

Phobos’s rotation period (which is the same as its orbital period, due to “tidal locking”) = 0.31891023 Earth days.

(0.997269663 + 27.321661) minus 0.31891023 = 28.00002043 Earth days.

Data sources:- For Earth’s (sidereal) rotation period (ie:- The Earth sidereal day) – Appendix 2, Section 1. For the orbital periods of The Moon and Phobos – Appendix 2, Section 22. To confirm that Earth and Mars are neighbor planets – The Planetary Scientist’s Companion, by Lodders and Fegley, published by Oxford University Press, 1998, Table 2.4

The bodies of the Jupiter System out as far as Ganymede are:- Jupiter, Metis, Adrastea, Amalthea, Thebe, Io, Europa, and Ganymede. Their synodic rotation periods (expressed in Earth days) are as follows:- Jupiter 0.41357779 and Metis 0.294800 and Adrastea 0.298281 and Amalthea 0.498236 and Thebe 0.674641 and Io 1.769860 and Europa 3.5540942 and Ganymede 7.1663872

The SUM of these eight periods = 14.66987719 Earth days.

Phobos orbital period = 0.31891023 Earth days.

14.66987719 ÷ 0.31891023 = 46.00002 Phobos orbital periods.

Data sources:- For Jupiter’s synodic rotation period – Appendix 2, Section 11. For the synodic revolution periods (which are the same as their synodic rotation periods, due to “tidal locking”) of Jupiter’s Four Small “Inner” Satellites – Appendix 2, Section 15. For the synodic revolution periods (which are the same as their synodic rotation periods, due to “tidal locking”) of Jupiter’s Four Large Satellites – Appendix 2, Section 22. For Phobos’ orbital period Appendix 2, Section 22.To confirm that Ganymede is Jupiter’s Primary (ie:- largest) Satellite, and to confirm that Mars and Jupiter are neighbor planets – The Planetary Scientist’s Companion, by Lodders and Fegley, published by Oxford University Press, 1998, Table 2.4

(G). The Sun’s oscillation period = 0.111111111 Earth days. (See Appendix 2, Section 4.) Jupiter rotation period = 0.41353831 Earth days. (See Appendix 2, Section 11.) The rotation periods of the following satellites are the same as their orbital periods, due to “tidal locking”. Jupiter’s Four Small “Inner” Satellites are Metis, Adrastea, Amalthea, and Thebe. Their orbital periods (expressed in Earth days) are – respectively – 0.294780 and 0.298260 and 0.498179 and 0.674536 (See Appendix 2, Section 15.) Then moving outwards, we have Jupiter’s Four Large “Galilean” Satellites. Arranged in ascending orbit order, they are Io, Europa, Ganymede, and Callisto. The orbital periods of Io and Europa (expressed in Earth days) are – respectively – 1.769137786 and 3.551181041 (See Appendix 2, Section 22. To confirm that Ganymede is Jupiter’s largest satellite, and the sizes of Jupiter’s Four Large Satellites – The Planetary Scientist’s Companion, by Lodders and Fegley, published by Oxford University Press, 1998, Table 2.4

(H). The Sun’s oscillation period = 0.111111111 Earth days. (See Appendix 2, Section 4.) The Superior Planets (ie:- with orbits that are “outside” Earth’s orbit), as far out as (and including) Uranus are:- Mars, Jupiter, Saturn, and Uranus. The INNERMOST Satellites of these planets are as follows:- Mars’ INNERMOST Satellite is Phobos, and Jupiter’s INNERMOST Satellite is Metis, and Saturn’s INNERMOST Satellite is Pan, and Uranus’ INNERMOST Satellite is Cordelia. Phobos’ synodic revolution period = 0.319058343 Earth days. (See Appendix 2, Section 19.) Metis’ synodic revolution period = 0.294800 Earth days. (See Appendix 2, Section 15.) Pan’s synodic revolution period = 0.57508 Earth days. (See Appendix 2, Section 16.) Cordelia’s synodic revolution period = 0.335038 Earth days. (See Appendix 2, Section 17.)

DEMONSTRATION 2.

THE SUN AND THE FIVE LARGE INNER SOLAR SYSTEM REVOLVING BODIES.

The next four examples involve the relationships between The Five LARGE Inner Solar System Revolving Bodies and THE SUN.

(1). The Three Inner Solar System Planets, apart from Earth, are:- Mercury, Venus, and Mars. Their synodic revolution periods (expressed in Earth days) are listed as follows:- Mercury 115.8774 and Venus 583.9205 and Mars 779.9382

The Sun’s rotation period = 24.66225 Earth days.

(115.8774 + 583.9205 + 779.9382) ÷ 24.66225 = 60.00004

Data sources:- For The Sun’s rotation period – Appendix 2, Section 4. For The synodic revolution periods of Mercury, Venus, and Mars – Appendix 2, Section 3.

(2). Here are the names of The Four Inner Solar System Planets, together with their rotation periods (expressed in Earth days):- Mercury 58.6462 and Venus 243.0187 and Earth 0.997269663 and Mars 1.025957 The Sun rotation period = 24.66225 Earth days.

With these periods in mind, now look at this:-

The SUM of these four ratios = 60.999898

Data sources:- For The Sun’s rotation period – Appendix 2, Section 4. For The rotation periods of Mercury and Venus – Appendix 2, Section 13. For the rotation period of Earth (ie:- The Earth sidereal day) – Appendix 2, Section 1. For the rotation period of Mars – Appendix 2, Section 5.

(3). Earth’s Three neighbors are:- Venus, The Moon, and Mars. Here are the rotation periods of these three bodies, expressed in Earth days:- Venus 243.0187 and The Moon (whose rotation period is the same as its orbital period, due to “tidal locking”) 27.321661 and Mars 1.025957 The Sun rotation period = 24.66225 Earth days.

With these periods in mind, now look at this:-

The SUM of these three ratios = 34.9999

Data sources:- For The Sun’s rotation period – Appendix 2, Section 4. For The rotation period of Venus – Appendix 2, Section 13. For the rotation period of Mars – Appendix 2, Section 5. For the orbital period of the Moon (which is the same as its rotation period, due to “tidal locking”) – Appendix 2, Section 22.

(4). Earth’s Three neighbours are:- Venus, The Moon, and Mars. Here are the rotation periods of these three bodies, expressed in Earth days:-

Venus 243.0187 and The Moon 27.321661 and Mars 1.025957 Also, The Sun synodic rotation period = 26.44803 Earth days.

With these periods in mind, now look at this:-

The SUM of these three ratios = 36.0004

Data sources:- For The Sun’s synodic rotation period – Appendix 2, Section 4. For The rotation period of Venus – Appendix 2, Section 13. For the rotation period of Mars – Appendix 2, Section 5. For the orbital period of the Moon (which is the same as its rotation period, due to “tidal locking”) – Appendix 2, Section 22.

We have here four sums of ratios that are very close to perfect WHOLE NUMBERS. The question is:- could this happen purely by chance? I will now address this question.

The Inner Solar System contains Five LARGE Revolving Bodies, ie:- Mercury, Venus, Earth, Mars, and The Moon. The number of possible ratios with The Sun involving these five bodies is calculated in the following manner:-

⁵C_{1 +}⁵C_{2 +}⁵C_{3 +}⁵C_{4 +}⁵C₅= 5 + 10 + 10 + 5 + 1 = 31

(Note:- This means the number of possible combinations of five items taken one at a time, two at a time etc- - - )

Each of these five bodies has four periods (ie:- orbital period, rotation period, synodic revolution period, and synodic rotation period).

This gives 31 x 4 = 124 possible ratios with The Sun.

The ratios can be either with the Sun’s sidereal rotation period or with The Sun’s synodic rotation period.

124 x 2 = 248

In that case, there are 248 possible ratios or ratio sums between The Five LARGE Inner Solar System Revolving Bodies and The Sun. Each of these ratios will be a number.

We have, effectively, a list of 248 supposedly randomly generated numbers, all with six or more digits following the decimal point. There exists a suspicion that not all these numbers are randomly generated. The reason for this suspicion is that FOUR of these numbers are very (very, very!) close to perfect WHOLE NUMBERS. It is suspected that these four numbers have been deliberately added to the list, and are NOT RANDOMLY GENERATED.

These four numbers are as follows:-

60.00004

60.999898

34.9999

36.0004

Of these four numbers, the number 36.0004 is the furthest from a perfect whole number.

The probability (p) that any single specific randomly generated number will be this close to a perfect whole number is calculated in the following manner:-

p = (0.0004 x 2) = 0.0008

The number of “successful outcomes” (ie:- very close to perfect whole numbers) = r = 4.

The probability that 248 randomly generated numbers will include four numbers as close to perfect whole numbers (as the four numbers listed above) is calculated in the following manner:-

p(r ≥ 4) = ²⁴⁸C₄ x (1 minus 0.0008)²⁴⁴ x 0.0008⁴ = 0.00005183

+ ²⁴⁸C₄ x (1 minus 0.0008)²⁴³ x 0.0008⁵ = 0.000002025

0.00005183 + 0.000002025 = 0.00005386

That is:- odds against chance occurrence of 1 chance in (1 ÷ 0.00005386) = odds of 1 chance in 18,500

In that case, these 248 supposedly randomly generated numbers cannot all be randomly generated. Some (or all) of the four close-to=-perfect WHOLE NUMBERS must have been added to the list deliberately.

I realized that most astronomers (and most members of the public) do not understand binomial probability theory. Therefore, I wrote the following “paper”, and employed a qualified mathematician to certify the calculations. Here is the short paper, entitled “A Method For Detecting Non-Randomness.

A METHOD OF DETECTING NON-RANDOMNESS by Roger Elliott.

There is a list of 248 supposedly randomly generated numbers, all with six or more digits following the decimal point. There exists a suspicion that not all these numbers are randomly generated. The reason for this suspicion is that FOUR of these numbers are very close to perfect WHOLE NUMBERS. It is suspected that these four numbers have been deliberately added to the list, and are NOT RANDOMLY GENERATED.

These four numbers are as follows:-

60.00004

60.999898

34.9999

36.0004

Of these four numbers, the number 36.0004 is the furthest from a perfect whole number.

The probability (p) that any single specific randomly generated number will be this close to a perfect whole number is calculated in the following manner:-

p = (0.0004 x 2) = 0.0008

The number of “successful outcomes” (ie:- very close to perfect whole numbers) = r = 4.

The probability that 248 randomly generated numbers will include four numbers as close to perfect whole numbers (as the four numbers listed above) is calculated in the following manner:-

p(r ≥ 4) = ²⁴⁸C₄ x (1 minus 0.0008)²⁴⁴ x 0.0008⁴ = 0.00005183

+ ²⁴⁸C₅ x (1 minus 0.0008)²⁴³ x 0.0008⁵ = 0.000002025

0.00005183 + 0.000002025 = 0.00005386

That is:- odds against chance occurrence of 1 chance in (1 ÷ 0.00005386) = odds of 1 chance in 18,500

In that case, the 248 supposedly randomly generated numbers cannot all be randomly generated. Some or all of these close-to-perfect WHOLE NUMBERS must have been deliberately added to the list.