9: Cultural, Mathematical or Mystical Enigma?

9: Cultural, Mathematical or Mystical Enigma? Eng. Marco A. Jaubert Vincenzi, M.Sc. May 5th, 2017. (original spanish version “9: ¿Enigma Cultural, Matemático o Místico?”, April 14th, 2017) To break a bit with the traditional of my previous writings, although there is the football world cup and the frequency of the champions 1, in this article I share a "curiosity" of which I noticed when helping my son to study the Multiplication tables and crosses three social spheres: the cultural, the mathematical and the mystical Throughout history, various civilizations have sought to respond to unknown events and phenomena, in some cases quickly, to reduce the risk of anarchy due to the fears of the population created when faced with uncertainty. Some responses have evolved as philosophies and cultural patterns that mark each person from birth, an example are the signs of the zodiac in the West 2, which correspond to the position of the stars during the birth of each individual. These zodiacal signs have parallels in Eastern cultures like China where instead of signs of the zodiac are animals. In addition to the above, in current society and due to the capacity for research and scientific exploration acquired, other currents of thought have been developed, apart from mathematics and physics, such is the case of quantum mechanics that underlies that everything That happens in the cosmos is not a product of coincidences by accident but of causality. The mathematical explanation of the facts is based on the existence of multiple relationships symbolized in equations that have different variables and that are sensitive to the smallest change in a given quantity. As is known for solving the equations numerical symbols are used which represent quantities and for the West they oscillate between the numbers 0 and 9. One of the ways the present civilization has to know if it has evolved is to compare, in a quantitative way, various criteria that according to the numerical reference system that is used thus is valued if it has increased, decreased or remains the same. These terms of measurement are associated qualitatively 3 as they are "excellent", "worse" or "very happy" that go according to the variable to be analyzed. The impacts may be different, in terms of depth, duration and scale, according to the stakeholder and the impacts can also be accumulated. Around the world the use of numerical symbols are present all the time in the life of each person, both personally and work. This is seen in cases such as rising gas prices, reduced rainfall, Increase in the electricity rate, the decline in sales, the rise in inflation, just to mention a few. However, throughout history, from the mystical and cultural point of view, the numbers 1 to 9 have been associated with different meanings 4, , as well as two-digit numbers. As an example of these philosophical currents are Numerology 5 among others 6. Numerology - as one of its practices - seeks to reduce a figure composed of several digits to a single digit, which represents the sum of all of them and tries to understand what it means for each culture. An example of this is mentioned in an earlier article 7 regarding President No. 45 of the US, the sum of 4 and 5 is 9, which means change. These sciences are also used to see the number of a person using their date of birth, for example, the date August 6, 1955 is broken down as: 6 + 8 + 1 + 9 + 5 + 5 = 34 ---- 3 + 4 = 7

1 2

Jaubert, M., 2014, The Pyramid of the World Cup. The Celts instead of Zodiac Signs use different tree species.

3

The qualitative is based on the subjective appreciation according to the interest and criteria of well-being of the actor. 4 According to culture a number can characterize descriptively, in various ways, a fact, event or person. 5 Broadly speaking it is a mystical art that seeks to understand the present and the future using numbers. 6 As another that is present is the Kabbalah of Jewish origin. 7 Jaubert, M., 2017, Adolf, Hugo and Donald now?.

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The person born on this date, according to Numerology and Kabbalah, is characterized by several particularities 8. This same method is used to "qualify" as could be a year, for example in 2016 the sum of its digits is 9 (change) and 2017 is 1, which represents beginnings. Although I knew some of the information previously given I am not a specialist or scholar of the subject, I merely expressed my curiosity about it and yet I had a slight surprise of the "concatenated" and "structured" that are the results of the multiplication tables of the 1 to 9 and something special with this last number. As I said at the beginning this "jumped" to support my son in his math studies. I do not know if there is anything written about it. In the first instance on the scale from 1 to 8 the sum of its ends gives 9 and repeats concentrically 9 with 2 and 7, 3 and 6 and finally with 4 and 5, leaving 9 in solitary, which moves to the center of the scale since it is the result of the sum of said pairs as the sum of all the numbers from 1 to 9. The previous behavior is replicated with the results, each summarized to a digit of multiplication tables 1 to 8, which are basic elements of mathematics, which are taught at the primary school and used the rest of life. life. Applying the Numerology shows examples of how the results of the Tables are reduced to a single digit contained in the scale of 1 to 9, as well as the sum of 4 of the concentric pairs results in the number 9. 1st Table 2nd Table Sum 1st Concentric Pair nd

1x6= 6

8 x 6 = 48  4 + 8 = 12  1 + 2 = 3

6+3=9

Concentric Pair

2 x 8 = 16  1 + 6 = 7

7 x 8 = 56  5 + 6 = 11  1 + 1 = 2

7+2=9

rd

3 Concentric Pair

3 x 7 = 21  2 + 1 = 3

6 x 7 = 42  4 + 2 = 6

3+6=9

th

4 x 8 = 32  3 + 2 = 5

5 x 8 = 40  4 + 0 = 4

5+4=9

2

4 Concentric Pair

In the case of Table 9 there is a particular behavior that consists of all the results reduced to a digit are the same and corresponds to 9, which is shown below: 9x1= 9 9 x 2 = 18  1 + 8 = 9 9 x 3 = 27  2 + 7 = 9 9 x 4 = 36  3 + 6 = 9 9 x 5 = 45  4 + 5 = 9 9 x 6 = 54  5 + 4 = 9 9 x 7 = 63  6 + 3 = 9 9 x 8 = 72  7 + 2 = 9 9 x 9 = 81  8 + 1 = 9 As noted on 9 It is not necessary to add to the results of the other tables so that in the end the same value is obtained. The only special feature is to decompose the result of each operation into two separate digits, thus identifying two columns whose values are the same as the results of the first concentric pair (18), which can be seen in Table 1. The table presents the results of each multiplication Table (columns) reduced to one digit in the scale of 1 to 9. As previously expressed, the 9 has a different behavior to the rest of the scale and because of this, it is defined that each Table has as the range of operations from 1 to 8 - is shown per row - although in the table the row with the results with 9 appears. In the table the 4 concentric pairs are associated by color of columns and individually in the center are the results of Table 9. The particular behavior of the results shows alternations of the same values in each concentric pair, with respect to the 1-8 already mentioned, about the 2nd pair there is an upward behavior of even numbers in the case of 2 and descending of odd numbers. In the case of 7 and then change to odd ascents in 2 and descendant pairs in 7. 8 9

Independent of the 7, for a person - for example - is characterized by personality traits. A replica of 4 concentric circles, only on this occasion are seen as columns.

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The 3rd pair, 3-6, is even more special as it is reduced to 3 trios with the numbers 3, 6 and 9. In this pair what changes is the order, for the 3 the order is 3-6-9 and In 6 the sequence is 6-3-9. What is striking is that 9 - in both numbers 3 and 6 coincides in the position, so the sum gives 18 and then reduced to 9. In the fourth concentric pair, 4-5, we have 4 pairs, 2 of even numbers and 2 of odd, in 4 are ascending and with increments of 4 units, the same as in 5, only in the latter, is the inverted order of the one that presents the 4. In summary, the values and the sequence of the same ones in the 5 are the same as those of the 4. The ends of both columns are inverted, at 4th it begins in 4 and it finishes in 5 and for the 5 it starts at 5 and ends 4. The previous behavior with 9 is not only with the multiplication Tables but also with the multiplication of any finite number - all its digits are known - in such a way that they can be added of the result of multiplying it by 9. As an example the following cases are shown:

Table 1 – Concentric Pairs

R E S U L T S

T1

T2

T3

T4

T9

T5

T6

T7

T8

1

2

3

4

9

5

6

7

8

2

4

6

8

9

1

3

5

7

3

6

9

3

9

6

9

3

6

4

8

3

7

9

2

6

1

5

5

1

6

2

9

7

3

8

4

6

3

9

6

9

3

9

6

3

7

5

3

1

9

8

6

4

2

8

7

6

5

9

4

3

2

1

9

9

9

9

9

9

9

9

9

 6327 x 9

= 56943

 5 + 6 + 9 + 4 + 3 = 27



2+7

=9

 0.463 x 9

= 4.167

 4 + 1 + 6 + 7 = 18

 1+8

=9

 826 x 9

= 7434

 7 + 4 + 3 + 4 = 18



1+8

=9

 5487925 x 9

= 4939128

 4 + 9 + 3 + 9 + 1 + 2 + 8 = 36



3+6

=9

 28635497 x 9 = 257719473  2 + 5 + 7 + 7 + 1+ 9 + 4 + 7 + 3 = 45



4+5

=9

 9683741250 x 9 = 87153671250  8+7+1+5+3+6+7+1+2+5+0 = 45



4+5

=9

It looks that there is an empirical law and refers that any quantity multiplied by 9 its result reduced to one digit will always be 9. As for the other numbers from 1 to 8, the result reduced to a digit of The respective multiplications do not always give the same number. As shown by multiplying the number 38.927 by 1 the result is reduced to 1, for 2 is 4, with 3 to 6, in case 4 reaches 8, with 5 is reduced to 1, for 6 fall In 3, the use of 7 gives 5 and with 8 it results in 7. Repeating the previous exercise, but now evaluating the number 6.327, we find that all the results are reduced to 9 and this is given because the original amount 6.327 is reduced to 9 and the principle is maintained that any quantity multiplied by the number 9 its result ends up being reduced to 9. The previous behavior is explained in that -independent of the number of digits of the figure- what is done is the multiplication of 9 by one of the numbers of the scale from 0 to 9, which are present in that quantity, located in different Positions and as you have seen the result of each operation is always reduced to 9. The presence of 9 as the final number is also observed in the accumulated sum of the results of the Table 9, as an example we have: Table 9 Results

9

18

27

36

45

54

63

72

81

Accumulated Result

9

27

54

90

135

189

252

324

405

One Digit Reduction

9

9

9

9

9

9

9

9

9

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When replicating the previous operation with the results of Tables 1 to 8, the Table 9 pattern is not repeated. Table 9 maintains a constant (in the case of Table 9 is 9), in all results reduced to one digit but the other Tables do not have any constant numbers they vary. For example in the case of Table 4, that number only appears three times as well as 7 in the accumulated results of its respective Table. For some reason another curiosity appears with the accumulated results of each Table and the number 8 as upper limit of the concentric pairs. The accumulated value for each Table up to the result of the multiplication by the number 8 results in a figure that is reduced to 9 in all Tables as shown below: Table

1

2

3

4

5

6

7

8

Cumulative sum up to 8

36

72

108

144

180

216

252

288

Reduced Result

9

9

9

9

9

9

9

9

Continuing in the field of Numerology the number 9 becomes a neutral value or equivalent to 0 since adding or subtracting it to an amount does not alter the reduction of that figure to a single digit as shown below: 26  2 + 6 = 8 26 + 9 = 35  3 + 5 = 8 26 - 9 = 17  1 + 7 = 8 78  7 + 8 = 15  1 + 5 = 6

78 + 9 = 87  8 + 7 = 15  1 + 5 = 6 78 - 9 = 69  6 + 9 = 15  1 + 5 = 6

The effect of 9 is that nothing else translates a unit of the value from the right to the left so it does not influence the sum of the digits to get one. As shown in the previous cases with the number 26 when adding 9 gives 35, a unit of the initial 6 was passed to 2 and this one was in 3. The same thing happens - but in reverse - when subtracting 9 to 26 the final value is 17 and what happens is that Of the original 2 was highlighted one unit to the right and the 6 step to be 7, which does not alter the reduction to a single digit. The 9 only moves a unit from one space to another but does not change the final calculation. This does not happen with the numbers 1 to 8 but with 3 and 6 there is another curious thing and the effect of each one are similar when are added or subtracted to a multiple of 9, for example: 27  2 + 7 = 9

108  1 + 0 + 8 = 9

27 + 3 = 30  3 + 0 = 3

108 + 3 = 111  1 +1 + 1 = 3

26 - 3 = 24  2 + 4 = 6

108 - 3 = 105  1 +0 + 5 = 6

27 + 6 = 33  3 + 3 = 6

108 + 6 = 114  1 +1 + 4 = 6

27 - 6 = 21  2 + 1 = 3

108 - 6 = 102  1 + 0 + 2 = 3

Adding a 3 the final digit is a 3 and if subtracted it ends in 6. With the number 6, add it, the final digit ends with a 6 and if subtracted the final reduced digit is 3. The above is not only seen in the Tables, but also in the accommodations of the series 1 to 9 as for example it is observed in Table 2 that corresponds to the keyboards of telephones and calculators. The one of the computers inverts the first and third row but it does not alter the product. In said arrangement of numbers each row gives 6 and the sum of 3 is reduced to 9. For the columns the sums give 3, 6 and 9, which is the sequence of Table 3 and the total is reduced to 9 and between both - rows and columns - the final result is reduced back to 9. In conjunction with the above, 9 has a small settlement and is about the number of planets that the solar system has. The answer for decades was

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Table 2 – The Keyboard 1

2

3

6

4

5

6

6

7

8

9

6

3

6

9

9

9

9, with time and according to scientific observations began to appear the doubts that if Pluto was or not a planet or that another appeared there. Apart from this at sport level there is a game based on that number and it is baseball. The one who invented the game of hitting a ball with a bat and running away with a round of a square was based on the 9, the reason I do not know it. The game consists of doing the most quantity of runs around the square, this after hitting the ball without being caught, by any player of the opponent team, before touching the ground or that the ball goes out of the game fields, a hit called "foul". it. The 9 and its multiples appear in the duration of the game since it is not by time -, as the teams alternate to hit the ball. The game consists of 9 opportunities - per team - to hit the ball and they are called innings and divided into the top and bottom - 2 turns per inning - according to which team is at the bat, in total are 18 turns. To finish each turn, the team that is throwing the ball has to make 3 "outs" and to achieve one of them the player at bat has to fail 3 times and each failure is known as strike or hit the ball and is captured in the air by one of the 9 players located on the field. Also capture it on the ground and throw the ball to the first base (or corner) before the batter arrived. Summarizing to finish, in an entry are occupied 3 outs that can be composed 63/5000 Can be 9 consecutive strikes or 3 shots caught in the air, in a simple way they occupy 27 strikeouts per team - amount that reduces to 9 and besides is multiple of the same number - which suman 54 in total, which adds up to 9. To conclude, a question arises: How does it benefit me to know this particularity of 9? Does it change my life right now? Well the answer is no and I'm still singing the memorable Spanish song La Vida Sigue Igual 10 (Life goes on), unless I play lottery based on that number and I won a good prize or the jackpot. However it helps me to understand a little more about the cycles of life and the reality in which we live and evolve our civilization. The scale from 1 to 9 starts - in the first instance - at 0 or the void, there is nothing, there is no quantity, then a unit appears and thereafter it begins to add more units, which is identified with other symbols and is reached to 9, which is then passed to two digits with 10, but that in Numerology becomes 1 again, a cycle has been completed and another one begins again. The theme of the beginning of the scale and its arrival at 9 is similar to the theory of the origin of the cosmos, nothing from nothing, a great void, there was an explosion and from there began to form part of the subatomic particles to form matter which according to their particularities gave rise to stars and planets. By science it is known that stars expand, consume, extinguish and then absorb what is around them being a black hole who by its gravity force nothing can escape from there or even the photons (light). Not so impressive as above but at earth we have many natural cycles as the water cycle and the circulation of tectonic plates. The above also applies to civilizations and empires, are born, grow, hold and then fall. Clear for the scale of the duration of a human life such natural cycles and their phases may seem eternal phases. To this is added the cycle of life, in the latter is born, grows and dies what is summed up in the popular saying "from dust I come and dust back." At a human level, new or unknown events can be sources of anxiety, fear and uncertainty, to reduce them answers are being sought, some are quickly achieved, but unsustainable, others appear over time, but they begin to generate even more questions. They had, for example what is developed with quantum mechanics, scientific research and find the so-called "particle of God". The same applies to the subject of electromagnetic frequencies and their effects. The dynamics of the cycles could explain a little the meaning of 9 in Numerology and that represents changes, end and beginning. Another example of this is the shift from 2016 to 2017 in terms of world leaders and their paths. To conclude, we are within multiple cycles and the theme for each is the "meanwhile" between the beginning and the end of each. Part of the process is to become aware of the cycle and the stage in which one is, try to understand and thus seek the balance between mind, spirit and reality that we live as individuals, as a group, as humanity in Mother Gaia being a part of the Cosmos and in this applies the principle "Energy is not created or destroyed but only transformed." At the level of the Cosmos as well as the subatomic particles is present the Energy which is transformed from various states, as from the potential to the mechanical and from there to the electric, to mention some, which is a function of the cyclical dynamics of the nature as well as the human intervention.

10

Iglesias, J., 1968, La Vida Sigue Igual.

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