Requiem for Relativity

text of Joseph C. Keller's poster for Oct. 10, 2009 CPAK conf. (U. of California - Irvine), p. 16

(schematics of Egyptian official & agricultural calendars, and of heliacal rising of Arcturus, here)

THE EGYPTIAN/MAYAN CALENDAR GIVES BARBAROSSA'S PERIOD

With modern precession formulas, I reinterpreted Eduard Meyer's Sothic and other dates. I found that the four most famous dates - those of Amenhotep, Thutmose, Seti, and Sesostris - are all, with reasonable interpretation, consistent with an Egyptian calendar beginning at the summer solstice, 4329BC. On this day, both Arcturus and Canopus rose heliacally in Egypt, Arcturus at 30N latitude, and Canopus at the Tropic of Cancer.

The beginning of the current Mayan "Long Count", 3114BC, matches the beginning of Egyptian dynastic chronology, 3110BC, even though there is little evidence of advanced Mesoamerican civilization that old. If Egyptian astronomers somehow knew Barbarossa's period, then the Egyptian/Mayan calendar could have designed to span the 6340.5 yr between the summer solstice, 4329BC, and the winter solstice, 2012AD.

At these times, Barbarossa is at its outgoing latus rectum, a geometrically and perhaps also physically significant point of its elliptical orbit.

text of Joseph C. Keller's poster for Oct. 10, 2009 CPAK conf. (U. of California - Irvine), p. 17

(here, Barbarossa's orbit with times of cardinal points:
outgoing latus rectum 2012AD, 4329BC
outgoing semiminor axis 3794BC
aphelion 1593BC
incoming seminor axis 609AD
incoming latus rectum 1144AD
perihelion 1578AD )

POPE GREGORY AND JOSEPH SCALIGER GIVE BARBAROSSA'S PERIOD

From my analysis of the four sky survey positions, I find that Barbarossa's perihelion occurred in 1578. In that age when heresy was fatal but "Hermetic knowledge" was the rage, who knows what motivated Pope Gregory or Joseph Scaliger, or what fragments of the lost 90% of classical literature they possessed? After a decade of high-priority study by Pope Gregory's elite astronomers, including Clavius, the Gregorian calendar was instituted in 1582. Simultaneously, Scaliger instituted Julian Day Zero, 6295yr earlier; this differs only 0.7% from Barbarossa's 6340yr period.

BISHOP USSHER GIVES THE MAYAN LONG COUNT?

Barbarossa's incoming latus rectum was 1144AD. The interval after Ussher's creation date, 4004BC, is 5147yr, differing only 0.4% from the Mayan Long Count. Ussher's 4004BC is to Barbarossa's incoming latus rectum, about what the Mayan 3114BC is to Barbarossa's outgoing latus rectum.

text of Joseph C. Keller's poster for Oct. 10, 2009 CPAK conf. (U. of California - Irvine), p. 18

HEINRICH EVENTS:
BARBAROSSA LAPS PRECESSION

Small climate changes called "Heinrich events" reportedly happen at variable intervals, every seven to ten thousand years. (See: Bond & Lotti, Science 267:1605, 1995)

Let's do this math ourselves. From the sky surveys, I found Barbarossa's orbital period, 6340yr. Newcomb found Earth's (rotational) precession period, 25785yr. While Barbarossa makes one orbit, Earth's precession makes about one quarter cycle. Barbarossa must gain another 90 degrees to catch up to, and lap, Earth. Barbarossa might be fast, moving from perihelion to latus rectum in 434yr, while Earth precesses little. So, almost the shortest Heinrich event/interval, is 6340+434=6774yr.

Barbarossa might be slow, moving from latus rectum to aphelion in 2736yr. Meanwhile Earth precesses about 1/8 cycle, so Barbarossa must move an extra 1/8 cycle, but then Earth has time to precess another 1/16 cycle, etc.; 1/4 + 1/8 + 1/16 + ... = 1/2, so this Heinrich interval, about the longest possible, is 6340 + 2736*2 = 11812.

text of Joseph C. Keller's poster for Oct. 10, 2009 CPAK conf. (U. of California - Irvine), p. 19

SOMETHING HAPPENS EVERY 6340 YEARS

Most say the "Younger Dryas" began 12900yr ago, but from lake varves, Brauer et al find that the sudden climate change in Europe was exactly 12683yr before 2012. At the onset of the "Younger Dryas" a "black layer" was deposited on North America, where every animal bigger than the bison became extinct, as did, more or less, the Clovis culture, all within a span of about a century or less.

Climate change c. 6000yr ago was not drastic, but human cranial diversity in North America and Europe, which had been greater than in the entire world today, drastically decreased, indicating near-extinction of the human species. The only known simultaneous bicoastal megatsunami (Australia, at least) occurred 6000-6500 years ago, and the oldest known megalithic observatory, Nabta in Egypt, was built then too. Pyramid texts say that in early times, Hathor wielding the Eye of Re, and the Cobra Snake of Re, nearly exterminated mankind. According to Plato's "Timaeus", Egyptian priests told Solon, that the Hellenes (i.e. Indo-Europeans) had lost almost everything but the myth that the son of Helios burned up the world with his father's chariot. Thus the Indo-European languages diverged from their common (surviving) root in the 5th millenium BC.

In the North American Midwest, the climate became only moderately drier, changing to the forest types seen today. Yet this archaeological period, c. 6000yr ago, is characterized by a sparse population living on large rivers. Europeans lived in lake dwellings. The priest told Solon, that living near water saved people from the fire.

text of Joseph C. Keller's poster for Oct. 10, 2009 CPAK conf. (U. of California - Irvine), p. 20

(here, diagram showing Sirius sighted over a pyramid to the south; and Arcturus, 2520BC, and Barbarossa, 8690BC, sighted over the other pyramids)

BRIGHT STARS OVER THE PYRAMIDS

At 2520BC (about the time the Giza pyramids were built) one could stand on the pavement north of the base of Menkaure's pyramid, and see Sirius on the meridian above it, just at its peak. While doing this, one could turn one's head, and see Arcturus simultaneously at the vertex of Khufu's pyramid.

According to modern precession formulas, at 8690BC one could stand north of Menkaure's, sighting Sirius at Menkaure's peak just as I described, and turn one's head to Khafre's. There, at the peak of Khafre's, one would see a point in the constellation Crater: a point only 0.8 deg from the Dec. 21, 2012 location of Barbarossa.

Though the time interval, 6170yr, differs 2.7% from Barbarossa's orbital period, and the location differs 0.8deg from Barbarossa's Dec. 2012 position, it would seem that the Egyptians used their freedom, in the design of the Giza pyramids, to memorialize information about the orbital period and critical sidereal location of Barbarossa. As everyone can see from the example of Old English, even in the best of times languages become incomprehensible in a mere thousand years. The numerical agreement is all the more remarkable because of the hints that Earth's rotation has been disturbed in the meanwhile.

(My poster also has five full- or nearly full-page color illustrations. Stonehenge is in the upper left. To the lower right, are a predynastic Hathor head with horns & stars; statues of Khufu & Khafre; Menkaure with Goddesses; and the Giza pyramids.)

Barbarossa's Latus Rectum

In my CPAK poster, I assume that Barbarossa's latus rectum occurs within a few days of Dec. 21, 2012. This assumption amounts to rotating the shape of the orbital ellipse a degree counterclockwise, from what I actually calculated. It allows the radial acceleration, rdotdot, to equal small multiples of H*c (where H is the Hubble parameter and c the speed of light), near Dec. 2012. (The Dec. 21, 2012 coordinates I gave on the poster, were extrapolated directly from the data, not calculated from orbital elements, so aren't affected by my assumption.)

My actual calculation in early 2009, fitting an orbit to the data, was that the latus rectum occurs 2003.92 AD, and the perihelion in 1569 AD. At Dec. 21, 2012, the radial acceleration rdotdot, is approx. negative (the minus sign conventionally means that rdot is decreasing, the radial acceleration is toward us) sqrt(3)*pi*H*c/(2*alpha), where alpha is the fine structure constant, 1/137.


Our Giant Planets Lie on a Circle Dec. 26, 2012

I accurized my extrapolation of the positions of Jupiter, Saturn, Uranus and Neptune. For each planet, I used the last four time points, of those that were separated by 40-day intervals, in the 2010 Astronomical Almanac. I used the full accuracy of the almanac (0.1 arcsec). This gave at least a third order Newton backward formula for each planet.

For Jupiter and Saturn, I used the fourth order difference too, estimated assuming that the quantity of interest was a linear function, plus a sinusoidal one of period equal to the planet's orbital period. Thus the fourth derivative is (-omega^2) times the second derivative. From the differentiation formulas in the CRC Math tables, comes an expression for the fourth backward difference in terms of the second and third.

This gave the least-squares best fit (errors ~ 0.001deg) to Euclid's III.20-21 (i.e., angles ABC = ADC when all points lie on a circle) for the outer planet positions of approx. 18h GMT Dec. 26, 2012. My analysis of six different pairwise planetary configurations on the recent 2012 crop circle (see earlier post) had given the date Dec. 25.0 +/- SEM 0.4.