Ephemeris Time and Ancient Numbers

Charles William Johnson

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Ever since 1972, our world of time travels according to atomic clocks based upon the nine billion plus oscillations of the cesium atom in a second. Legally, we are on the cesium clock. Before that time was measured by ephemeris time, which essentially counted the number of seconds in a year; that is, in one of Earth's years. And, there are four such kinds of years according to the astronomers.

Earth's different years are:

-the tropical years (about 365.24 days)

-the calendar year (365.24 days)

-the sidereal year (about 365.26 days);

the anomalistic year (365.26 days)

The variations from one kind of year to another are slight variations in the number of seconds between their length. For example, based upon the times offered for each year, we have computed them as follows:

Tropical Year 365. 2421875 days times 86400 seconds equals 31556925 seconds

Calendar Year 365.2425 days times 86400 seconds equals 31556952 seconds

Sidereal Year 365.2563657 days times 86400 seconds equals 31558150 seconds

Anomalistic Year 365.2596412 times days 86400 seconds equals 31558433 sec

These latter expressions represent the expression of Earth's years in ephemeris time, and were used previously in order to present a more precise image of the numbers relating to the different types of years regarding Earth's orbital time. The use of ephemeris time represented an enormous advancement in reckoning time in our modern-day societies and academic establishments. We are forever searching for my precise and exact renderings of the scientific data produced in our studies of Nature and matter-energy. The expression of the year in ephemeris time represented just such a case; much like the more recent effort of representing time in terms of an atomic clock with the "clicking" of the cesium atom. Obviously from the beat of one second per second in one year and the obtaining of numerical expressions such as 31558150 seconds in one year represented a considerable advancement of the idea of 365.256 days; more numbers, more precision. Or, so one would think, as we consider over nine billion oscillations of the cesium atom per second: 31558150 seconds times 9,000,000,000:

9,000,000,000+ x 31558150 = 2.8402335^E17 cesium beats/year [scientific notation]

Obviously, one could not expect the ancients to improve upon such a system of beats for the Universe. Even if we consider the possibility that the previous number is actually ±2.8402338, or, twice 1.4201168999572 (since the square of the maya companion number 1366560 is 1168.999572).

2.8402338¹⁷ / 9,000,000,000+ = 31558153.333 seconds [adjusted to maya number]

31558153.333 / 86400 = 365.2564043

And, by the way, an historically significant ancient number is that of 567c (suggestive of the 284,568c above)

However, the case may be a bit more complex than we realize when we consider the relationships among the different times of the years of Earth. Generally, scholars are amazed at the ancient Maya for having developed a system of time reckoning that had among its achievements the use of a synodic count for the planet Venus of what is employed today as its average revolution: 583.92 days. Even the day-count of the ancient Aztec system is cited to having been close to the 365.2422 count for Earth's revolution around the Sun.

But, as we gaze upon the historically significant numbers, we realize that some of the ancient numbers may have served as computational factors in reckoning time. We have been examining some of the historically significant numbers in the Earth/matriX series of essays and extracts. Some of those ancient numbers involve those of: 378, 1296, 3888, 4536, among many others. Some of the ancient numbers are easily identifiable in specific cases like those of the Maya companion numbers:

1385540 / 1366560 = 1.013888889

It is said that the ancients disliked and avoided the fractional expressions of numbers. Yet, in this particular case, we are observing a relationship of proportion that may have a significant meaning in other aspects of the ancient reckoning system. For example, the ancient reckoning system of the Maya employed the long-count period of 1872000 days, as most of the counts that we are citing refer to day-counts, year-counts and distinct cycle counts. So, when we view the reciprocal of the day-counts for Earth's year, we are not surprised that even the reciprocal expression reflects some kind of relationship here. Consider the reciprocals of Earth's day-counts.

Consider then:

1368900 - 1366560 = 2340, 4680, 9360, 18720… We do not find such relationships of differences to be improbable in having been relational in the ancient reckoning system. Or, 1368900 - 1385540 = 16640, 8320, 4160, 2080, 1040, 520 [52c representing the ancient Meso-American calendar round of 52 years or 18980 days). Also, consider the relationship of the differences: 1872000 / 52 = 36000, where it is important to remember the 360c day-count calendar of the ancient Maya. We do not find it improbable either that the chosen measurement of the side measurement of the Great Pyramid is cited as being around 756 feet, thus reflected in those same figures, albeit in a more symbolic manner:

1³ + 3³ + 6³ + 8³ = 756

The possible symbolic nature of the numbers in the ancient reckoning system reflect a cognitive aspect of ancient computations, just as they represent essential design elements in the artwork.

All of the previously cited relationships may simply be probable alternatives in the computations of the ancient reckoning systems, something that the ancient may or may not have seen. In our view, the ancients most certainly knew of these relationships and designed their entire system of reckoning around such alternatives.

However, there are other relationships that we may explore, which irrespective of the ancient reckoning system concern only the day-counts themselves of the four different kinds of years for Earth's orbital timing. In other words, we may find cases where the relationships among the day-counts imply similarities with the ancient reckoning numbers; and not vice versa. In other words, if we are able to discern relationships of proportion among the examples of Earth's year counts (as cited in today's figures), which suggest ancient numbers, then that may suggest that the ancient numbers were based on science as well.

Consider two updated (2001) versions of the ephemeris times:

(tropical year) 31556925.2 seconds / 86400 seconds = 365.2421898 (tropical)

(sidereal year) 31558149.8 seconds / 86400 seconds = 365.2563634 (sidereal)

365.2563634 / 365.2421898 = 1.000038806

In other words, if one employed the ancient reckoning number, 3888, as the mantissa for this proportional factor, the difference would be slight:

But, the comparisons become even more intriguing as we employ other year-counts:

Now, this particular factor (1.000037957) reminds us of half of the side measurement of the Great Pyramid of Giza (756c), which would be approximately 378 feet.

Now, let us suppose that the ancients employed what we have perceived to be the exact measurement of the side of the base of the Great Pyramid of Giza, that is, 755.7909764 feet, half of which would be 377.8954882 feet.

Many scholars claim that the ancient Egyptians (Kemi) employed the 365.256c sidereal year; thus, consider:

[where the tropical year of today has been cited as being 365.2421875, among other values]

Many more variables in the computations are possible as of the day-counts and the ancient numbers.

In this case, we are reminded of the ancient number 1872c, 936, 468…, whereby when employed as a factor of proportion would yield:

There is another case of proportion within the different day-counts of Earth that reminds us of the ancient reckoning numbers that may be found in the historical record. The next case refers to the 18980c of the 52c year calendar round of ancient Meso-America.

In this case, we must remember that the calendar round 18980c doubles to 37960c. Therefore, consider such an option for the proportional factor in suh terms:

Were we to employ the 2001-figure for the sidereal year, that of 365.2563634, then the relationship would be equally relevant:

We may also consider the following case between the calendar year and the tropical year:

This particular case involves the earlier 1368c, the reciprocal of the day-counts of Earth as we analyzed above and the ancient reckoning number series: 855, 171, 342, 684, 1368c.

Consider further, 1368000 - 1366560 = 1440 [maya long-count fractal]

The last case that we shall consider concerns the proportion between the anomalistic year and the sidereal year of Earth's orbital times.

In this case, one may consider the 896c of the ancient reckoning system, which is a multiple of the 7c series: 7, 14, 28, 56, 112, 224, 448, 896c...

Many relationships exist, but we have listed on a few for the sake of examples. The main ones cited are the use of certain factors of proportion between the different day-counts of the Earth which use as their mantissa some of the historically significant numbers. And, the point that is significant in our mind, is not so much that the proportional factors contain historically significant numbers, but rather that the different day-counts (as cited in today's literature) actually reflect in Nature relationships of proportion that suggest almost exactly some of the ancient reckoning numbers.

Therefore, to translate between different kinds of year-counts, one may consider the following relationships of proportion and their factors based on the ancient reckoning counts:

Earth's Year-Counts and Ancient Reckoning Numbers

From the previous analysis, one may consider the ancient reckoning numbers and their relevancy to the reckoning of time in relation to the distinct day-counts and year-counts of Earth. Some of these numbers concern those of 378c, 37960c, 3888c, and 486000c, which may be viewed and computer in terms of their fractal expressions, with a floating decimal place to achieve their distinct meanings. From the above, it is difficult to imagine that the ancients just happened to have chosen all of these reckoning numbers based on luck or randomness alone. The possibility that they just happened to have chosen many of the factors and terms that are significant for translating between one day-count and another of Earth's orbital time would appear to be highly improbable.

One cannot help but notice the exactness of the computations, when we consider the possibility of half the baseline measurement (377.8954882 feet) of the side of the Great Pyramid:

In our view, the ancient reckoning numbers were chosen by design with a definite cognitive basis that goes beyond today's general limited view of our ancestor's ability to know reality. The difference in the computations based on the ancient figures and those of the relationships between the different day-counts occur in the fifth decimal place and beyond. Such approximations represent exact apprehensions of the different day-counts in our view. And, just suppose for a moment that the ancient reckoning numbers had nothing to do with the day-counts ---even though the historical record shows that they were dedicated to knowing the day-counts and had elaborate calendrical systems for such purposes. Then, one would have to ask how is it that all of the Earth's day-counts coincide with such random numbers. That coincidence in itself would be even more intriguing to this author than the obvious fact that the ancient numbers reflected the day-counts in a most precise manner.

One may wonder whether the relationship in the Maya system of reckoning,

1385540 / 1366560 = 1.013888889

might not also be a symbolic representation, then, of the key factor in one of the translation counts: 1.00003888. The first may be telling of the second. Let us see it again: according to today's ephemeris time in seconds, Earth's orbital times are proportional as follows (data for 2001):

31558149.8 / 31556925.2 = 1.000038806

As an isolated event in measurement of reckoning time, one may not wish to see such a possibility between the ancient reckoning systems and today's numbers. But, as we compare the various combinations of proportion between the distinct years for Earth's orbital times, the possibility of a relevancy between the ancient reckoning numbers and events in the solar system appear to be more by design than by happenstance.

As we explore more ancient numbers, the coincidences only become more obvious. The ancient Maya precession cycle number is that of 25956 years, instead of the generally accepted Platonic Year value of 25920 years.

25956 x 365. 2563634 = 9480594.168 days (for precession period)

9480594.168 x 86400 seconds = 8.191233362¹¹ the number of seconds in such a period of precession. And, once again, one cannot but recall the ancient Maya k'awil count of 819c.

We need to move on to other themes for now. But, for the moment, we have laid down a few of the comparisons that have caught our eye during the past few weeks of work. There are many other relationships, but for now we may consider further a possible relationship between the ancient reckoning numbers and ephemeris time.

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Jefferson, Louisiana
5 July 2002

Charles William Johnson: email: johnson@earthmatrix.com

©2002-2013 Copyrighted by Charles William Johnson. All rights reserved.
Reproduction prohibited without the express written consent of the author.

Ephemeris Time and Ancient Numbers
ISBN 1-58616-311-6.
All inquiries may be addressed to: Earth/matriX:
Science in Ancient Artwork and Science Today,