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    Fingerprints of the Gods

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    Maya had preserved most perfectly from the past. With it they inherited

      memories of a terrible, earth-destroying flood and an idiosyncratic legacy

      of empirical knowledge, knowledge of a high order which they shouldn’t

      really have possessed, knowledge that we have only reacquired very

      recently ...

      157

      Graham Hancock – FINGERPRINTS OF THE GODS

      Chapter 21

      A Computer for Calculating the End of the World

      The Maya knew where their advanced learning originated. It was handed

      down to them, they said, from the First Men, the creatures of

      Quetzalcoatl, whose names had been Balam-Quitze (Jaguar with the Sweet

      Smile), Balam-Acab (Jaguar of the Night), Mahucutah (The Distinguished

      Name) and Iqui-Balam (Jaguar of the Moon).1 According to the Popol Vuh,

      these forefathers:

      were endowed with intelligence; they saw and instantly they could see far; they

      succeeded in seeing; they succeeded in knowing all that there is in the world. The

      things hidden in the distance they saw without first having to move ... Great was

      their wisdom; their sight reached to the forests, the rocks, the lakes, the seas, the

      mountains, and the valleys. In truth, they were admirable men ... They were able

      to know all, and they examined the four corners, the four points of the arch of the

      sky, and the round face of the earth.2

      The achievements of this race aroused the envy of several of the most

      powerful deities. ‘It is not well that our creatures should know all,’ opined

      these gods, ‘Must they perchance be the equals of ourselves, their

      Makers, who can see afar, who know all and see all? ... Must they also be

      gods?’3

      Obviously such a state of affairs could not be allowed to continue. After

      some deliberation an order was given and appropriate action taken:

      Let their sight reach only to that which is near; let them see only a little of the face

      of the earth ... Then the Heart of Heaven blew mist into their eyes which clouded

      their sight as when a mirror is breathed upon. Their eyes were covered and they

      could only see what was close, only that was clear to them ... In this way the

      wisdom and all the knowledge of the First Men were destroyed.4

      Anyone familiar with the Old Testament will remember that the reason for

      the expulsion of Adam and Eve from the Garden of Eden had to do with

      similar divine concerns. After the First Man had eaten of the fruit of the

      tree of the knowledge of good and evil,

      The Lord God said, ‘Behold, the man has become as one of us, to know good and

      evil. Now, lest he put forth his hand and take also of the tree of life and eat and

      live for ever, [let us] send him forth from the Garden of Eden ...’5

      The Popol Vuh is accepted by scholars as a great reservoir of

      1 Popol Vuh, p. 167.

      2 Ibid., pp. 168-9.

      3 Ibid., p. 169.

      4 Ibid.

      5 Genesis, 4:22-4

      158

      Graham Hancock – FINGERPRINTS OF THE GODS

      uncontaminated, pre-Colombian tradition.6 It is therefore puzzling to find

      such similarities between these traditions and those recorded in the

      Genesis story. Moreover, like so many of the other Old World/New World

      links we have identified, the character of the similarities is not suggestive

      of any kind of direct influence of one region on the other but of two

      different interpretations of the same set of events. Thus, for example:

      • The biblical Garden of Eden looks like a metaphor for the state of

      blissful, almost ‘godlike’, knowledge that the ‘First Men’ of the Popol

      Vuh enjoyed.

      • The essence of this knowledge was the ability to ‘see all’ and to ‘know

      all’. Was this not precisely the ability Adam and Eve acquired after

      eating the forbidden fruit, which grew on the branches of the tree of

      the knowledge of good and evil’?

      • Finally, just as Adam and Eve were driven out of the Garden, so were

      the four First Men of the Popol Vuh deprived of their ability to ‘see far’.

      Thereafter ‘their eyes were covered and they could only see what was

      close ...’

      Both the Popol Vuh and Genesis therefore tell the story of mankind’s fall

      from grace. In both cases, this state of grace was closely associated with

      knowledge, and the reader is left in no doubt that the knowledge in

      question was so remarkable that it conferred godlike powers on those

      who possessed it.

      The Bible, adopting a dark and muttering tone of voice, calls it ‘the

      knowledge of good and evil’ and has nothing further to add. The Popol

      Vuh is much more informative. It tells us that the knowledge of the First

      Men consisted of the ability to see ‘things hidden in the distance’, that

      they were astronomers who ‘examined the four corners, the four points

      of the arch of the sky’, and that they were geographers who succeeded in

      measuring ‘the round face of the earth’.7

      Geography is about maps. In Part I we saw evidence suggesting that the

      cartographers of an as yet unidentified civilization might have mapped

      the planet with great thoroughness at an early date. Could the Popol Vuh

      be transmitting some garbled memory of that same civilization when it

      speaks nostalgically of the First Men and of the miraculous geographical

      knowledge they possessed?

      Geography is about maps, and astronomy is about stars. Very often the

      two disciplines go hand in hand because stars are essential for navigation

      on long sea-going voyages of discovery (and long sea-going voyages of

      discovery are essential for the production of accurate maps).

      Is it accidental that the First Men of the Popol Vuh were remembered

      not only for studying ‘the round face of the earth’ but for their

      contemplation of ‘the arch of heaven’?8 And is it a coincidence that the

      6 Popol Vuh, Introduction, p. 16. See also The Magic and Mysteries of Mexico, p. 250ff.

      7 Popol Vuh, pp. 168-9.

      8 Ibid.

      159

      Graham Hancock – FINGERPRINTS OF THE GODS

      outstanding achievement of Mayan society was its observational

      astronomy, upon which, through the medium of advanced mathematical

      calculations, was based a clever, complex, sophisticated and very

      accurate calendar?

      Knowledge out of place

      In 1954 J. Eric Thompson, a leading authority on the archaeology of

      Central America, confessed to a deep sense of puzzlement at a number

      of glaring disparities he had identified between the generally

      unremarkable achievements of the Mayas, as a whole and the advanced

      state of their astro-calendrical knowledge, ‘What mental quirks,’ he

      asked, ‘led the Maya intelligentsia to chart the heavens, yet fail to grasp

      the principle of the wheel; to visualize eternity, as no other semi-civilized

      people has ever done, yet ignore the short step from corbelled to true

      arch; to count in millions, yet never to learn to weigh a sack of corn?’9

      Perhaps the answer to these questions is much simpler than Thompson

      realized. Perhaps the astronomy, the deep understanding of time, and the

      long-term mathematical calculations, were not ‘quirks’ at all. Perhaps

    />   they were the constituent parts of a coherent but very specific body of

      knowledge that the Maya had inherited, more or less intact, from an older

      and wiser civilization. Such an inheritance would explain the

      contradictions observed by Thompson, and there is no need for any

      dispute on the point. We already know that the Maya received their

      calendar as a legacy from the Olmecs (a thousand years earlier, the

      Olmecs were using exactly the same system). The real question, should

      be, where did the Olmecs get it? What kind of level of technological and

      scientific development was required for a civilization to devise a calendar

      as good as this?

      Take the case of the solar year. In modern Western society we still make

      use of a solar calendar which was introduced in Europe in 1582 and is

      based on the best scientific knowledge then available: the famous

      Gregorian calendar. The Julian calendar, which it replaced, computed the

      period of the earth’s orbit around the sun at 365.25 days. Pope Gregory

      XIII’s reform substituted a finer and more accurate calculation: 365.2425

      days. Thanks to scientific advances since 1582 we now know that the

      exact length of the solar year is 365.2422 days. The Gregorian calendar

      therefore incorporates a very small plus error, just 0.0003 of a day—

      pretty impressive accuracy for the sixteenth century.

      Strangely enough, though its origins are wrapped in the mists of

      antiquity far deeper than the sixteenth century, the Mayan calendar

      achieved even greater accuracy. It calculated the solar year at 365.2420

      9 J. Eric Thompson, The Rise and Fall of Maya Civilization, Pimlico, London, 1993, p. 13.

      160

      Graham Hancock – FINGERPRINTS OF THE GODS

      days, a minus error of only 0.0002 of a day.10

      Similarly, the Maya knew the time taken by the moon to orbit the earth.

      Their estimate of this period was 29.528395 days—extremely close to the

      true figure of 29.530588 days computed by the finest modern methods.11

      The Mayan priests also had in their possession very accurate tables for

      the prediction of solar and lunar eclipses and were aware that these could

      occur only within plus or minus eighteen days of the node (when the

      moon’s path crosses the apparent path of the sun).12 Finally, the Maya

      were remarkably accomplished mathematicians. They possessed an

      advanced technique of metrical calculation by means of a chequerboard

      device we ourselves have only discovered (or rediscovered?) in the last

      century.13 They also understood perfectly and used the abstract concept

      of zero14 and were acquainted with place numerations.

      These are esoteric fields. As Thompson observed,

      The cipher (nought) and place numerations are so much parts of our cultural

      heritage and seem such obvious conveniences that it is difficult to comprehend

      how their invention could have been long delayed. Yet neither ancient Greece with

      its great mathematicians, nor ancient Rome, had any inkling of either nought or

      place numeration. To write 1848 in Roman numerals requires eleven letters:

      MDCCCXLVIII. Yet the Maya had a system of place-value notation very much like

      our own at a time when the Romans were still using their clumsy method.15

      Isn’t it a bit odd that this otherwise unremarkable Central American tribe

      should, at such an early date, have stumbled upon an innovation which

      Otto Neugebauer, the historian of science, has described as ‘one of the

      most fertile inventions of humanity’.16

      Someone else’s science?

      Let us now consider the question of Venus, a planet that was of immense

      symbolic importance to all the ancient peoples of Central America, who

      identified it strongly with Quetzalcoatl (or Gucumatz or Kukulkan, as the

      Plumed Serpent was known in the Maya dialects).17

      Unlike the Ancient Greeks, but like the Ancient Egyptians, the Maya

      understood that Venus was both ‘the morning star’ and ‘the evening

      10 William Gates’s notes (p. 81) to Diego de Landa’s Yucatan before and after the

      Conquest.

      11 This is evident from the Dresden Codex. See, for example, An Introduction to the

      Study of Maya Hieroglyphs, p. 32.

      12 The Maya, p. 176; Mysteries of the Mexican Pyramids, p. 291; The Rise and Fall of

      Maya Civilization, p. 173.

      13 Mysteries of the Mexican Pyramids, p. 287.

      14 The Maya, p. 173.

      15 The Rise and Fall of Maya Civilization, pp. 178-9.

      16 Cited in The Maya, p. 173.

      17 World Mythology, p. 241.

      161

      Graham Hancock – FINGERPRINTS OF THE GODS

      star’.18 They understood other things about it as well. The ‘synodical

      revolution’ of a planet is the period of time it takes to return to any given

      point in the sky—as viewed from earth. Venus revolves around the sun

      every 224.7 days, while the earth follows its own slightly wider orbit. The

      composite result of these two motions is that Venus rises in exactly the

      same place in the earth’s sky approximately every 584 days.

      Whoever invented the sophisticated calendrical system inherited by the

      Maya had been aware of this and had found ingenious ways to integrate it

      with other interlocking cycles. Moreover, it is clear from the mathematics

      which brought these cycles together that the ancient calendar masters

      had understood that 584 days was only an approximation and that the

      movements of Venus are by no means regular. They had therefore

      worked out the exact figure established by today’s science for the

      average synodical revolution of Venus over very long periods of time.19

      That figure is 583.92 days and it was knitted into the fabric of the Mayan

      calendar in numerous intricate and complex ways.20 For example, to

      reconcile it with the so-called ‘sacred year’ (the tzolkin of 260 days, which

      was divided into 13 months of 20 days each) the calendar called for a

      correction of four days to be made every 61 Venus years. In addition,

      during every fifth cycle, a correction of eight days was made at the end of

      the 57th revolution. Once these steps were taken, the tzolkin and the

      synodical revolution of Venus were intermeshed so tightly that the degree

      of error to which the equation was subject was staggeringly small—one

      day in 6000 years.21 And what made this all the more remarkable was that

      a further series of precisely calculated adjustments kept the Venus cycle

      and the tzolkin not only in harmony with each other but in exact

      relationship with the solar year. Again this was achieved in a manner

      which ensured that the calendar was capable of doing its job, virtually

      error-free, over vast expanses of time.22

      Why did the ‘semi-civilized’ Maya need this kind of high-tech precision?

      Or did they inherit, in good working order, a calendar engineered to fit

      the needs of a much earlier and far more advanced civilization?

      Consider the crowning jewel of Maya calendrics, the so-called ‘Long

      Count’. This system of calculating dates also expressed beliefs about the

      past—notably, the widely held belief that time operated in Great Cycles

      which witnessed recurrent creations and destructions of the world.


      According to the Maya, the current Great Cycle began in darkness on 4

      Ahau 8 Cumku, a date corresponding to 13 August 3114 BC in our own

      calendar.23 As we have seen, it was also believed that the cycle will come

      18 The Maya, p. 176.

      19 The Rise and Fall of Maya Civilization, p. 170; Mysteries of the Mexican Pyramids, p.

      290.

      20 The Rise and Fall of Maya Civilization, p. 170.

      21 Ibid., 170-1.

      22 Ibid., 169.

      23 Breaking The Maya Code, p. 275.

      162

      Graham Hancock – FINGERPRINTS OF THE GODS

      to an end, amid global destruction, on 4 Ahau 3 Kankin: 23 December AD

      2012 in our calendar. The function of the Long Count was to record the

      elapse of time since the beginning of the current Great Cycle, literally to

      count off, one by one, the 5125 years allotted to our present creation.24

      The Long Count is perhaps best envisaged as a sort of celestial adding

      machine, constantly calculating and recalculating the scale of our

      growing debt to the universe. Every last penny of that debt is going to be

      called in when the figure on the meter reads 5125.

      So, at any rate, thought the Maya.

      Calculations on the Long Count computer were not, of course, done in

      our numbers. The Maya used their own notation, which they had derived

      from the Olmecs, who had derived it from ... nobody knows. This

      notation was a combination of dots (signifying ones or units or multiples

      of twenty), bars (signifying fives or multiples of five times twenty), and a

      shell glyph signifying zero. Spans of time were counted by days ( kin),

      periods of twenty days ( uinat), ‘computing years’ of 360 days ( tun),

      periods of 20 tuns (known as katun), and periods of 20 katuns (known as

      bactun). There were also 8000- tun periods ( pictun) and 160,000- tun

      periods ( calabtun) to mop up even larger calculations.25

      All this should make clear that although the Maya believed themselves

      to be living in one Great Cycle that would surely come to a violent end

      they also knew that time was infinite and that it proceeded with its

      mysterious revolutions regardless of individual lives or civilizations. As

      Thompson summed up in his great study on the subject:

      In the Maya scheme the road over which time had marched stretched into a past

      so distant that the mind of man cannot comprehend its remoteness. Yet the Maya

     
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