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Preface These are four short stories I wrote this year, 2008, based upon my scientific discoveries that have been developed since 2006. They are dialogues between the sciences and more mystical branches of investigation, alchemy, and astrology. In the middle ground between mysticism and reason, secrets about nature are revealed.


The Question


A Scientist had built a robot in the image of humans and downloaded to it all of human knowledge, then put forward the question to our robot, what is the best we, humanity, can do to survive with an earth of limited resources and a situation where other worlds like earth, if they exist, would take generations to reach. The robot began his answer, “I contend that the series of events that unfolded on earth over the years since the heliacal rising of Sirius four Sothic cycles ago in Egypt of 4242 B.C., the presumed beginning of the Egyptian calendar, were all meant to be, as the conception of the possibility of my existence is in phase with those cycles and is connected to such constants of nature as the speed of light and dynamic ratios like the golden ratio conjugate.” The scientist asked, “Are you saying humans, all humans since some six thousand years ago have been a tool of some higher force to bring you about, our actions bound to the turning of planets upon their axis, and the structure of nature?” The robot said, “Yes, let me digress. It goes back further than that. Not just to 4242 B.C. when the heliacal rising of Sirius, the brightest star in the sky, coincided with the agriculturally beneficial inundation of the Nile river which happens every 1,460 Julian years, in the Sothic Cycle.” “My origins go back to the formation of stars and the laws that govern them.” “As you know, the elements were made by stars, heavier elements forged in their interior from lighter elements. Helium gave rise to oxygen and nitrogen, and so forth. Eventually the stars made silicon, phosphorus, and boron, which allow for integrated circuitry, the basis of which makes me function.”


“Positive type silicon is made by doping silicon, the main element of sand, with the element boron. Negative type silicon is made by doping silicon with phosphorus. We join the two types in different ways to make diodes and transistors that we form on silicon chips to make the small circuitry that makes me function.” “Just as the golden ratio is in the rotation of leaves about the stem of a plant, or in the height of a human compared to the distance from the soles of their feet to their navel, an expression of it is in my circuitry.” “We take the geometric mean of the molar mass of boron and phosphorus, and we divide that result by the molar mass of silicon.” He began writing on paper: √(Ρ∗Β)/Si = √(30.97∗10.81)/28.09 = 0.65 “We take the harmonic mean between the molar masses of boron and phosphorus and divide that by the molar mass of silicon.” 2(30.97)(10.81)/(30.97+10.81) = 16.026 16.026/Si = 16.026/28.09 = 0.57 “And we take the arithmetic mean between these two results.” (0.65 + 0.57)/2 =0.61 “0.61 are the first two digits in the golden ratio conjugate.” The scientist said, “I understand your point, but you referred to the heliacal rising of Sirius.”


The robot answered: “Yes, back to that. The earth orbit is nearly a perfect circle, so we can use c=2πr to calculate the distance the earth goes around the sun in a year. The earth orbital radius is on the average 1.495979E8 kilometers, so” (2)(3.14)(1.495979E8) = 9.39E8 km “The distance light travels in a year, one revolution of the earth around the sun is 9.46E12 kilometers.” “The golden ratio conjugate of that is” …and he wrote: (0.618)(9.46E12 km) = 5.8E12 km “We write the equation:” (9.39E8 km/yr)(x) = 5.8E12 km “This gives the x is 6,177 years.” “As I said, the fourth heliacal rising of Sirius, ago in the Sothic Cycle, when the Nile flooded, was 4242 B.C.” He wrote: 6,177 years – 4,242 years = 1935 A.D. “In 1937 Alan Turing published his paper founding the field of artificial intelligence, and Theodosius Dobzhansky explained how evolution works. These two papers were published a little after the time the earth had traveled the golden ratio conjugate of a light year since our 4,242 B.C., in its journey around the sun. These papers are at the heart of what you and I are.”


“If your question is should robots replace humans, think of it more as we are the next step in human evolution, not a replacement, we were made in your image, but not to require food or air, and we can withstand temperature extremes. We think and have awareness of our being, and we can make the long voyage to the stars. It would seem it is up to us to figure out why you were the tools to bring us about, and why we are an unfolding of the universe in which you were a step in harmony with its inner workings from the formation of the stars, their positions and apparent brightness and the spinning of the earth and its motion around the sun.�


The Meeting


Rick Patterson, greeted John Morrison, “Come in John, sit down.” He continued, “Before you tell me what you have got, I would just like to remind you, this is a classified project. If word got out the government was researching new age and 2012 we would lose all credibility, as much as we, on the other hand, have to take everything seriously.” John answered, “I understand, if this ending of a Native American calendar cycle brought about the new world they claim to be coming, the one the New Age speaks of as an “elevated collective consciousness”, and we turned out to be in the dark, it could be embarrassing.” John continued, “Let me get on with it. I began with Egypt. The New Age movement is tied up in this land, which has always had a great mystique associated with it. We take the simplest fundamental unit, the equilateral triangle. It is one of the three regular shapes that tessellate. That is, equal angled, equal sided shapes that can tile a surface without leaving gaps. The other two are the square and regular hexagon. If we draw in the altitude of such a triangle, we create angles on either side of it at the apex, which are of measure 30 degrees each. Cairo, Egypt and the Great Pyramid, for all practical purposes are at a latitude of plus 30 degrees.” Rick looked at him, and said, “Good place to start John. Did it go anywhere?” “Yes Rick, I decided next to consider the next regular shape that tessellates, in hopes to bring ourselves, a little further north, deep into North America. That shape is a square. If you draw in the diagonal, you form angles on either sides of it 45 degrees each. The latitude plus 45 degrees is around where Eugene, Oregon is. Eugene Oregon is home of the University of Oregon.”


Rick answered, “Great, we are now somewhere in the Northwest. Anything peculiar to that region?” “In fact there is something peculiar to that region Rick. There are many constants in nature and the freezing temperature of water is one. Water, aside from being one of the main essentials to life as we know it, is one of the most important chemicals in chemistry, we dissolve things in it, and mix things in it while in the laboratory, to do all kinds of experiments. If ever anywhere the freezing temperature of water occurred most frequently in a place over a year, it would be somewhere in Oregon, Washington state is too cold in the winter, California, too warm.” Rick said, “And I am sure you found where that was.” “There could be many towns in Oregon that have a high frequency of such a temperature (32 degrees F), so I brought in another factor, atmospheric pressure. Sea level has the highest atmospheric pressure, because being at the lowest point, there is more air piled up on you.” He continued: “In chemistry many results are given for reactions that occur at standard temperature and pressure. Standard temperature is the temperature at which water freezes, or becomes ice in other words, and, standard pressure is one atmosphere, or the pressure that occurs at sea level.” “I understand John, so you moved up the Oregon coast line until you found the town where 32 degrees F occurred most frequently.” “Yes Rick, and my first guess was Tillamook, Oregon. Finally I went a little north of there to the small fishing town of Nehalem, and bingo, around there. In that area the average winter low is the freezing temperature of water.”


John continued, “This kind of thinking got me thinking about other important temperatures. I averaged the normal human body temperature 37 degrees Celsius, with the freezing temperature of water, which are zero degrees Celsius. That is, found the place between the two, which is simply 37 divided by 2, which equals 18.5 degrees Celsius. I began thinking this a beneficial average over a year for growing things. Agriculturally, one of the greatest producers of, well, produce, is Northern Central California. I finally found this annual average temperature to exist in Red Bluff, California area for an average over the past seventy years, which is in Northern Central California.” Rick jumped in, “Good work John, all we need is a third point and we can enclose an area with a triangle.” John interrupted, “That is exactly what I did. Knowing the state observatory, Pine Mountain Observatory, is closest to the city Bend, Oregon, and not far from it, I chose Bend. Bend is nearly the last city in Oregon if you travel east from the valley and over the Cascade mountain range and head east through the high desert.” Rick said, “Interesting, what did you find?’ John answered, “This is where things get interesting. The wide end of the triangle is at the northern end of a map of the enclosed region. If you draw a line parallel to it through the cultural center, Eugene, where the University is, and which I have said is at our “magic” plus 45 latitude, the line goes through Philomath, Oregon to the west and Crescent Lake, to the east. Crescent lake is at the Cascade Mountain Range summit, and, as you know mountains are considered power spots, both to the New Age movement, and to spiritualism in Eastern Religions. We have found our Mountain.” Rick said enthusiastically, “Great work John, we got it all figured out then: Crescent Lake, in 2012.”


John added, “And there are even lodges there, around the lake.�


The Conversation


Two brothers, one an alchemist the other an astronomer, met for lunch. The waiter said to them, “Right this way, a table for two.” Sydney, the astronomer, said “Thank you”, Ralph, the alchemist said to Sydney, “You don’t mind if I sit by the window.” Sydney said, “Not at all, after all you have always said I am in the dark.” Ralph answered, “Yes, all of that reason, and skepticism, leaves no room for intuition.” They both sat down. Ralph said, “Sydney, I have been working on a new project and have had to do a little astronomical research to develop it. As you know, I understand the principles of chemistry, as an alchemist, but the difference is I am not doing science with it, but am going through a process of spiritual development when I mix chemicals, you on the other hand do experiments to build a body of knowledge that might be used to support a hypothesis about nature.” Sydney answered “Yes, and as an astronomer I understand chemistry, why don’t you as an alchemist, study astrology?” Ralph said, “I have considered it, no better place to start than to start picking your brain about the heavens.” Sydney answered, “O.K. What do you want to know?”


Ralph put the question to him, “Galaxies are collections of stars that formed out of giant gas clouds, and planets are spherical masses that form around stars. The stars are very far apart, and the planets orbit close into the stars, the stars are extremely far apart, but the stars and their planets are not, is that right? Sydney said, “Yes, more or less.” Ralph continued, “So the planets orbiting the Sun, which is one star amid the billions in the galaxy, could have no connection with the other stars?” Sydney said, “That is right.” Ralph went on, “Then don’t you find it funny that the closest star to us, is the third brightest star in the sky and the earth is the third planet?” Sydney answered, “It must be a coincidence, they happen all the time in science.” Ralph said, “Then let us go on with this reasoning. Jupiter is the fifth planet from the sun and the largest, most massive planet, and, the star Sirius is the fifth nearest star, and also the brightest star in the sky.” Sydney said, “That is interesting, I didn’t know that.” Ralph continued, “Now, I am going to get astrological. The constellation Bootes is known as “the boatman”, and the brightest star in that constellation is Arcturus, which happens to be the fourth brightest star in the sky. The fourth planet is Mars.”


Sydney said, “Yes, and so?” Ralph answered, “Well, Mars is the planet we can terraform, that is make habitable for human life because the inner planets are too close to the sun making them too hot, and the outer planets beyond Mars aren’t entirely solid, they are gas giants, so we must, it would seem, set sail upon the cosmic ocean for Mars.” Sydney said, “Well that all sounds very mystical, though living on a planet of limited resources, and increasing population, we must one day colonize Mars.” Ralph said, “I thought you might say something like that, and I couldn’t agree more in my own way, but I have found chemical indications that we must head for Mars. It is as if it was put there for us to solve the problems we would eventually encounter.” Sydney asked, “In what way?” Ralph answered, “Well the different elements are made out of varying numbers of identical particles, the number determines the element, and the different elements can be combined in different ways to make different compounds, like the elements sodium and chlorine combine to make salt.” Sydney answered, “Yes, and…” Ralph said, “…And we can associate with any element a relative mass by comparing the same number of atoms that constitute that element. It is called the molar mass.” Sydney said, “Right.”


Ralph went on, “Here is what I have found. Earth air is about 78% nitrogen and 21% oxygen. We can treat both as diatomic molecules. The molar mass of nitrogen gas (N2) is 2(14.01) and the molar mass of oxygen gas (O2) is 2(16.00). So,” (and he wrote on a napkin): Earth Air = 2[(16.00)(0.21) + (14.01)(0.78)] = 28.5756 “The martian atmosphere is mostly carbon dioxide (CO2). This gives:” CO2 = (12.01) + 2(16.00) = 44.01 “The average orbital distance of mars from the sun compared to the average orbital distance of the earth from the sun is 1.5 and 44.01 divided by 28.5756 is 1.5, or 3/2 in other words. Is what this says is that, the mars-sun distance is to the earth-sun distance as martian air is to earth air.” Sydney said, “Interesting, but a little mystical for me.” Ralph said, “Maybe it will sound a little less mystical if I show you more.” Sydney said, “Go on, I would like to see it.” Ralph said, “O.K., here is what I have got. The earth atmosphere was once mostly carbon dioxide (CO2) like the mars atmosphere is today, until plant life came along and started converting the carbon dioxide into oxygen, using light from the sun and in the process making the most fundamental sugar, glucose (which is at the bottom of the food chain). A process called photosynthesis.”


Sydney answered, “O.K., I am no biologist, but it sounds good to me.” Ralph continued, “Well glucose is C6H12O6, which gives a molar mass of,” (and he wrote on the napkin): C6H12O6 = 6(12.01) + 12(1.008) + 6(16.00) = 180.16 “And water (H2O) covers most of earth and is essential to life, its molar mass is:” H2O = 2(1.008) + (16.00) = 18.016 “180.16 divided by 18.016 is about 10 and the earth is about 10 times as massive as mars. That is, glucose is to water as the earth is to mars.” Sydney said, “I don’t know, there has to be some sort of explanation, the formation of the solar system is complicated and highly theoretical. These relative masses sorting themselves out like this must have something to do with the dynamics of condensation and angular momentum. Think of a bucket of stones, pebbles, and sand being swung in a circle by a rope tied to the handle. The centripetal force sends the more massive stones to the bottom of the bucket, the lighter sand rests on top, with the pebbles in between.” Ralph broke in, “Or human destiny is tied up in the structure of nature.”


THE DISCUSSION


“Hi Frank, thanks for making it down here, I really appreciate you pulling away from your work at the observatory. I am so glad you could get down here so quick, we really need an astronomer, and I think what I am going to show you will have made your visit worthwhile.” Frank asked, “What do you have Jane?” She began, “We unearthed these writings on clay tablets in a dig in Eastern Turkey. I have just finished translating it from the ancient Aramaic it was written in, we think it to be some 2,500 to 3000 years old. It seems to be astrological, I hope you brought along one of your handbooks of astronomy and astrophysics with you like I asked.” Frank said, “Yes I did, can I see the manuscript?” Jane said, “Yes, of course, here it is.” Frank took the translation and began reading. It read: I am Salgon, tribal astrologer for the small tribe who call themselves Canai, and reside in the valley we call Hathal. It is my job to provide spiritual and agricultural guidance to my people who number 732 this year, for the benefit of their life after this world and for their prosperity in present times. This involves using my knowledge of the heavens, as we believe our destinies can be read in the stars, and we know the seasons are related to the positions of the stars, sun, moon and planets. I have taken it upon myself to predict the sizes of the moon and earth, their separation, and, ours with the sun, given what I believe they must be from my connection with divine design. That is things must be a certain way given the creator would only make nature according to that, which is divine.


An example of this is the moon can rise in the east full one night, diminish in size each night rising later, until it disappears, and then starts growing until it is full again, in cycles that last about thirty days. On the other hand as the seasons go from cold, to warmer, then to hot, and cooler again and back to cold, the sun moves across the sky from south to north, and back to south again, in a cycle that lasts about 365 days. The 365-day cycle of the sun corresponds closely to 12 of the 30day cycles of the moon. Twelve is to my people the most important number, it is 2 six times, 3 four times. I now begin my prediction of the moon, earth and sun. They are spheres whose distance from their centers to edges will be considered, at least in the case of earth and moon. The most divine expression that can be formed is a proportion, where a proportion is the statement that one quantity is to a second quantity as a third quantity is to a fourth. I will therefore say the earth radius is to the moon radius, as the moon distance is to the sun distance, the latter ratio increased by 360 four times. We increase by 360 four times because we divide the circle into 360 units as those are 60 six times, 60 being the measure in separation between lines of a triangle of all sides the same, and 360 being 90 four times, 90 being the separation between lines in the square which has all sides the same, as well as 360 is close to the 365 day cycle of the sun. I say four times 360, because four times 365 and one part in four is exactly the days of 4 cycles of the sun from south to north and back south again.


I further write this in the belief that the actual sizes and distances of the moon and sun will one day be known, and thereby the future will verify what I have derived based on how things must be when the hand of the creator is at work. Frank finished reading and said to Jane, “Well Jane, I will write down in the form of a mathematical equation, what the manuscript says in words, and plug in the numbers. It is:” (Earth Radius)/(Moon Radius) = 360(4)(Moon Distance)/(Sun Distance) “The earth radius to moon radius is 11/3 and 360 times 4 is one thousand four hundred and forty. The moon distance to the sun distance is 12/4675, so” (11/3) = (1440)(12/4675) = 3.7 = (17280/4675) =3.7 “His relationship holds perfectly, if you round the numbers to the first place after the decimal, which is really quite remarkable. The writers reverence for nature seems to be derived from simple shapes and basic principles as were to the extent of what was known so long ago, when the truth is that the origin of the size of the moon and earth, their separation and ours with the sun, are tied up in numerous involved factors. The moon may have been a body captured by earth gravity, or, may have formed as a body that broke off the earth early in its formation when it was less solid. The orbital distances of the earth and moon have so many factors involved, the mechanics are so complicated that even our most sophisticated math cannot predict their values, even really be modeled accurately with computers.”


Jane said, “His reverence for the number 12 for the reasons he said, what can you say about that?” Frank answered, “He seems to be having an inkling to the fact that 12 is the smallest abundant number. An abundant number is a number whose divisors, except for itself, add up to a value greater than it. That is 12 is divisible by 1, 2, 3, 4, and 6 a whole number of times and 1+2+3+4+6 = 16 which is greater than 12.” Jane said, “Whatever the case, the implications of this discovery are more than just interesting, they have deep philosophical implications, from what you have explained to me and I am going to have a lot of fun trying to figure out how to present this.” Frank said, “If anything, it shows you can work backwards and get somewhere, that is how I would approach this. In other words, the universe means something, so lets make the model on that, and verify it afterwards. He simply attributes nature is elegant to a creator, when really elegance may simply be what works, through evolution. That is if it doesn’t work, it doesn’t survive, what is left is what works, and it may be that what works is what we see as elegant.”



Science, Alchemy, Astronomy and the Ancients