In earlier posts we said our true nature was formless, spaceless love; perfect togetherness. In this reality the “part” and the “whole” are seamlessly integrated in one unified understanding. An earthly symbol of this understanding would be how we perceive the Internet as both individual Web sites integrated into the unified whole of the Internet.
So, too, in our stargazing, we perceive either standalone stars, or we clump them together and mentally project unifying patterns on them called “constellations” as in Fig. 24.1 below.
Also we discussed in Question #20, Assumption #3: The Wheeler Participatory Universe, quantum mechanics discovered the true nature of particles of light called “quanta” was that they were simultaneously like interconnected waves—akin to the interconnected nature of Web sites, and that they were standalone “particles”—akin to individual Web sites. That is their wave nature and their particle nature are inseparably interwoven into the essence of light. This is called the wave-particle complementarity.
We can see in Fig. 24.1 that the “lines” connecting each networked point must really run right through that point, otherwise the flowing network information would stop at each point. So, let’s represent the wave-particle complementarity with Fig. 24.2. Notice how this contrasts with both a “standalone” point and a “standalone” line—which are incorrectly perceived. In truth, every point has a connection to the whole, and the whole is made up of interconnected points.
So, the first thing a master knows about spacetime, is that any time he is looking at a “part,” or “point” that is, any standalone object—a tree, a rock, a pen, a table, a body, the Red Sea—it is really like Fig 24.2 shows; part of an interconnected whole.
It’s odd to think a standalone object like a rock has some kind of wave-like nature, but modern physics shows that’s true. Every particle in the universe has a wave function built right into it.
The brain is not the seat of sentience
Here’s a practical takeway. Ask the next person you encounter who insists the seat of human consciousness exists solely in the brain if they know what a wave function is. Have them Google it.
What quantum mechanics reveals—the most experimentally verified branch of modern physics—is that every particle that exists in the universe has a wave function, and that wave function, while most likely to be in the vicinity of that particle’s observed physical location in spacetime, can, in fact, be spread out over the entire universe.
So this means every particle of matter in your brain has a built-in, irrevocable capacity to be spread out over the entire universe. So even though the brain cells creating consciousness in your brain are free to roam the cosmos, your consciousness is created wholly inside your head? Yow!
The bricks of the prison cell are more free than the prisoner?
So, according to this argument, Einstein’s consciousness was free to roam the cosmos, which it did with stunning scientific result (imagination is more important than knowledge, he said), and the particles of Einstein’s brain cells were free to physically exist across the cosmos, but the source of Einstein’s consciousness was wholly inside his head?
No wonder EInstein said our individual identity was “an optical delusion of our consciousness” and a “kind of prison.” His philosophical view is what the evidence of his field supports.
Maybe you could show me along a probability curve where that impenetrable wall is that limits Einstein’s brain cells to his head, and therefore contains that universe-spanning consciousness of his? You’re arguing from behind the Spam Filter from Hell.
No such wall exists. The wave funciton of any particle is a probability curve, not an absolute—like walls of a prison. The probability curve is like a breeze that can pass right through the prison wall we call the human skull. An irrevocable, unstoppable wave that absolutely can take any particle in our brains on a journey across space and time.
The wave and particle function of anything—including brain cells—are inseparable.
See Brian Greene’s The Fabric of the Cosmos for the scientific fact that there is a teeny, tiny possibility that the particles that make up your brain could pass right through your head. Then where would the seat of your sentience be?
The door to the prison you call your body is open by the laws of quantum mechanics. Anyone who insists your consciousness exists solely as a result of brain processes inside your head is ignorant of modern physics. There is no such thing as a mathematical, absolute certainty that the particles constituting your brain are always inside your head. No such thing.
A master knows the brain is a creation of the mind; not vice-versa.
The ego will do everything it can to convince you the real “you” is nothing but that body of yours and its internal components. Even though modern physics tells us with laboratory evidence that the sub-atomic particles that make up those physical components of yours are free to roam the cosmos. Do you really want your mind to be less free than your body?
How you “left” Heaven by creating dimension and space
Is this Web site you are reading right now on the left side of the Internet or the right? How about the top or the bottom of the Internet? Front or back? As we explored earlier, the Internet is a spaceless, dimensionless experience, like true reality in the absolute universe we call Heaven.
So how fast is this Web site going, in miles per hour? Zero, of course.
Any time you enter its Web address you’re there. It’s not a moving target. You don’t need a really fast Internet connection to catch up to it.
So, think about Web sites on the Internet for a moment. They exist, at least in your experience of them, as spaceless, dimensionless “points.”
So, if the entire, non-spatial, non-dimensional universe is the Internet, and it has these things called Web sites, which we’ve already discussed aren’t moving, and these Web sites has an unbreakable connection to this Internet, how would a Web site move?
Being spaceless, it would have to invent space itself! It would have to invent this place “outside” the Internet (which in our metaphor we defined as the entire universe). So this Web site with the itch to move would have to pretend it occupied space and that it could somehow detach itself from its true, interconnected whole, and then move “outside” that spaceless whole.
It would have to imagine that there really was a left and a right. A top and a bottom. A front and a back. Even though its whole existence it has lived inside a universe of the Internet where those ideas are completely nonsensical. As is the idea of a Web site physically moving in space. A Web site may change Web addresses, but we don’t perceive that it is now “farther away” or “more distant” from our computer, right?
So when the mystics say God is closer to us than our jugular veins, what they mean is, our true reality is like the spaceless, dimensionless, motionless Internet. We are like a Web site in that Internet with immediate and total access to every scrap of information it contains. Truth is perfect togetherness, as we have explored.
How far is a Web site from the Internet? Zero distance. How far are we from God? Zero distance. Yet the real “us” the real “we” is some imaginary distance from our jugular veins, which are imaginary protections laid over our true, spaceless reality. So the true us is closer to God than those jugular veins.
So now you know the basic idea about how you, Mr. or Ms. Pretend Singularity left a spaceless, dimensionless, formless, absolute universe of love and pretended to enter this thing called space, where you could “move.”
Bouncing off formless, spaceless wholeness
The Internet, while certainly not infinite, appears that it will keep on extending forever. I use the word “extend” because while one could argue it is certainly expanding, when I use it I know there is certainly more information there, and more Web sites, but I don’t feel like the Internet is getting taller. Or fatter. Or thicker front to back.
From any Web site on the ‘Net, I can leap to any other Web site by typing in an address and making a single click. So this “infinitely extending” Internet is also amazingly intimate as well. People from around the world can share their interests, their knowledge, their family life. Everything.
That’s cool! Ever-expanding information—extending to infinity, not spatially, but experientially—plus this really cool, intimate connection. An infinite plus intimate experience wound inextricably together is a characteristic of a true networked phenomena—like Heaven. It is the true nature of your real home.
You can extend forever in Heaven and still be intimately connected to the details of everyone’s existence. The party is infinite, and you know everyone there like a best friend.
But spacetime doesn’t give us that infinite/intimate experience. We are clueless about what’s happening on planets trillions of miles from here. We can’t dial up their Web sites and check them out. Spacetime severs our connection between infinite and intimate perceptually. We can grasp how big the universe is—we can even measure it’s seemingly “infinite” nature, but we can’t experience it directly, like we can with people’s lives around us. And as we said true, or absolute knowledge is experiential knowledge. Perception is observational knowledge you can know without becoming intimately connected to it.
I can know about Mars without feeling like I am Mars.
A master knows that that separation between infinite and intimate experiential knowledge is only an illusion.
There is scientific evidence that we really are connected to the whole universe, at least physically. Modern quantum mechanics reveals that all information in the universe is entangled, or intertwined. Just like every Web site can be entangled or intertwined with links to each other, etc. Read up on quantum entanglement and see how your true physical reality here in spacetime is a fully interconnected reality. In fact, scientists are busily working on quantum computers that take advantage of this universal connectivity. Google it and see!)
How to lose your connection between intimate and infinite
But you, Mr. or Ms. Singularity, are busily maintaining a reality “outside” of your true home of Heaven. So one thing you’re doing is continuously pretending to lose that characteristic of a networked reality—your experiential connection to the infinite and intimate nature of true knowledge.
You devised a simple mind trick. You won’t let yourself get too close to anything—too intimate—and you won’t let yourself get too far from anything—too infinite. As long as you avoid the totally intimate, you can avoid accidentally melting back into the absolute intimacy of Heaven. Like avoiding getting too close to a friend at a party. And as long as you don’t let yourself get too expansive, then you won’t accidentally run into the absolutely infinite nature of Heaven, like finding out that the party never ends.
So you set some boundaries. And you say, “Nothing too close and nothing too far.” No absolute intimacy, nor absolute infinity.”
Wisdom for future generations from Richard Feynman
And that’s exactly what physicist and Nobelist Richard Feynman wanted to pass along to future generations. He didn’t say “avoiding infinite and intimate”, he used physics terms. He said when objects get too far apart they attract each other, and when they get too close, they repel each other (can someone help me with the reference for this? I read it somewhere but can’t find it…)
Why would this distinguished physicist with a long, innovative career, involving all kinds of complex physics in many different areas, want to leave us with this one simple observation? I would surmise because it has something fundamental to do with the way our universe is constructed at the deepest levels.
I would interpret it as the way we separated ourselves from our true home in Heaven. You may want to investigate ideas like gravity, anti-gravity, dark matter and dark energy to see how this “pull together” and “push apart” forces are wired into the basic fabric of spacetime.
We get too infinite, and we pull back; we pull together. We get too intimate, and we push apart; we repel each other.
Our Universe oscillates between intimate and infinite; never reaching either absolute
We can observe this process at work in our own physical universe. In the beginning it was really, really close—really intimate—formed into a tiny singularity no bigger than a grain of sand. Before the Big Bang all the planets, stars, dust, energy—everything in spacetime—was crammed inside that unimaginably dense, ultra-tiny singularity.
But it didn’t maintain that sense of intimacy. It blew apart. And with that rapid expansion, blew out a bubble, or “skin” of spacetime on which everything we see in the universe is riding. Every planet, star, galaxy, and human are like ants riding on the surface of that expanding “balloon”—as astronomers Charles Lineweaver and Tamara Davis explore in Scientific American, March, 2005).
So one could speculate, that maybe that singularity got too close? Too intimate? So it blew apart? Again, I will freely intermingle physics and psychological ideas in our exploration, per the Pauli-Jung Assumption in Question #20.
But this universe of ours won’t go on expanding forever. It won’t allow itself to approach infinity. Some physicists believe it will reach a limit of expansion and then begin contracting again, like a kid sucking in a bubblegum bubble that got too big. This theory says everything in the contracting universe will then wind up in a Big Crunch—back at that tiny singularity again.
The Hindu’s believed that the gods breathed the cosmos in and out in regular cycles—like a child blowing a series of bubblegum bubbles and sucking them back in again. An idea not too far off from the scientific evidence of a Big Bang and its theoretical Big Crunch.
So imagine now that at the heart of that singularity, that tiny, impossibly dense speck of universe-building stuff is the simple idea of “Don’t get too close, or you’ll run into Heaven.” And that at the farthest reaches of that expanding universe of ours is the simple idea, “Don’t get too infinite. Don’t expand too far or you’ll run into Heaven.”
(Students of chaos theory (non-linear dynamics) may wish to explore the circulation pattern of a single particle moving through the Lozenz’ attractor (the butterfly attractor). See how it approaches the center point, but never hits it, and then heads out towards infinity, but it is drawn back again to that center point. You may find some online animations of this phenomena by Googling “Lorenz attractor animation.”)
And of course, what is an orbit, but an object not getting too close or too far from what it’s circling? It neither becomes perfectly intimate and actually joins that object, nor does it go sailing off away from it and become perfectly free, or infinite.
Your right mind (see Question #23) knows that Heaven is absolute intimacy and absolute infinity together as one. Endless extension. The inversion of this idea, translated into spatial symbols, creates the observable phenomena Feynman described: never too close or too far.
My interpretation is that Feynman was leaving future generations knowledge of how they created the fantasy of separation from their true reality.
The sine wave bounces between a maximum and minimum as well
Now let’s check out another common oscillation between minimum and maximum—the sine wave we see in Fig. 24.3. Imagine with me that the fear of absolute intimacy is the minimum at the bottom—keeping the wave from getting too close to intimate togetherness, and the fear of our absolutely infinite nature is the maximum at the top. Bouncing from one extreme to the other, the line never meets either its intimate or infinite Self.
This would cause Fenynman’s observation: when objects get too far apart (i.e. they reach the maximum in Fig. 24.3) they appear to attract each other, and are thus drawn back down to the minimum. And when they get too close, they appear to repel each other, thus leaving the minimum and heading back to the maximum. This “repel-attract” energy forms the continuously moving sine wave in 24.3(c).
That construction of oscillating between a minimum and a maximum forms the basis for all of space and time. (We’ll examine this structure in Dante’s two-sphere universe (Riemann’s hypersphere) in our next question.) When viewed as moving through time, it is the sine wave, the shape of moving light.
In quantum mechanics, this endless oscillation is called quantum fluctuation energy, or zero point energy, or vaccum energy—because this energy is built right into the fabric of empty space itself (known as the vacuum).
What quantum mechanics has discovered about our universe, is that no matter how rock-solid, unmoving, never-budged-an-inch an object appears to be, the sub-atomic particles that make it up are a wiggly, oscillating, jittery mess. For example, no matter how much a boulder looks like it hasn’t budged in a billion years, it is made up of particles that are continuously in motion—without ceasing. This is proven science.
Is the snake in the Garden of Eden a wiggly sine wave?
It this sine-wave, universe-creating oscillation the origin of the slithering snake story in the Garden of Eden—see Fig. 24.3(c). Yep. It’s an archetype buried in our collective unconscious. That symbolic, sine-wave snake was a liar because in truth, formless, spaceless, dimensionless beings don’t oscillate. They don’t wiggle from side-to-side like sidewinders do.
Oscillation is a spatial idea, and space is a mentally projected fantasy laid over the truth of your non-spatial reality in Heaven. Einstein’s relativity showed us that geometry—lines, points, angles, shapes, curves, sine waves—are not absolute constructions unchanging in time and space, but in fact change with our observation of a physical system in motion.
In his book The Tao of Physics, physicist Fritjof Capra observes:
It took an Einstein to make scientists and philosophers realize that geometry is not inherent in nature, but is imposed upon it by the mind. In the words of Henry Margenau,
‘The central recognition of the theory of relativity is that geometry…is a construct of the intellect. Only when this discovery is accepted can the mind feel free to tamper with the time-honoured notions of space and time…’
Sorry Elvis. Heaven doesn’t wiggle.
Heaven, like the Internet, doesn’t move. So here’s your first clue you’re not in Heaven; the universe around you is built on oscillation, all the way down to the fabric of spacetime itself—vacuum energy as its called.
The master knows Heaven doesn’t wiggle. And that his true power comes from the “unmoved mover” we call God, not spacetime and its wiggly, sine-wave snakes.
Energy is change by force; it is not love and it is not Spirit
Energy is the capacity to cause change; i.e. for the little singularity in 24.3(a) to change its position back and forth from top to bottom, or to move through space and time, like in 24.3(b) or (c).
Change in the form of motion is the illusion of disappearing from one spot and appearing in another.
How can a non-spatial, infinite being disappear if you’re everywhere at once? You can’t. You’re non-local (Google this physics term if you’re not familiar with it.) Non-local means you’re both here and there at the same time.
That means you can’t “leave” point A and “arrive” at point B, because you’re already at point B before you left. And you can’t disappear from point A in order to get to point B because you’re everywhere, which means you’re still there at point A.
They say you can’t steal second base with your foot on first, but a master knows you’re already on second and first—and third and home.
Want to walk on water? Skip the energy drinks. And the charka-massages.
So much of modern New Age thought is built on the idea of energy. Energy, like motion in spacetime, is built on the fantasy of change (see Question #4 for an in-depth look at why change is an illusion.) Energy is everywhere in New Age thought. Manipulating energy to heal. Becoming one with the energy of cosmic consciousness. Studying the energy flow of ki, and auras and charkras.
My sacred brothers and sisters, energy is no more spiritual than the Easter Bunny. Energy and Spirit are wholly unrelated. They occupy two universes that combine only in the mind of the one holding them both together as real. (Search for Reality Stapler in this blog for more info).
A master knows that energy and Spirit do not exchange effects whatsover because they lack a common background context to do so. A Course in Miracles says all expressions of love i true reality are maximal. This means turned up all the way all the time.
All expressions of energy are not maximal. It increases, it decreases. We can experience a little heat energy and roast a marshmallow, or a lot of heat energy from a forest fire.
That maximal expression of love is Heaven is Spirit is you! Your true Self is maximal love all the time! No ups and downs. No yin-yang cycles. That symbol may be popular, but it has nothing to do with Spirit. God has no opposites, does not cycle through opposites, does not trade places or take turns with opposites.
God has no opposite. Period. And if God doesn’t you don’t either! As Baruch Spinoza said, God can only create like Himself. And as C.S. Lewis said, God has no opposites. First you take the Crazy Step, then you start believing in opposites.
The Buddha said, “The truth is one. There is no second.” Perfect togetherness does not cycle, go up and down, oscillate, vibrate or ebb and flow. Your perfect, sacred, God-given love is always at a max; like an eternal sun that shines at is maximum potential continuously. Only turning away from that sun—or putting clouds in front of it—appears to make it diminish.
Energy can cause suffering. God can’t.
The Buddha said his Self did not suffer or change. Energy is the capacity to cause change—and ask the people of Hiroshima and Nagasaki—it can unleash a whole mess of suffering.
Want to learn how to walk on water? Lose your fascination with energy. It’s dreamstuff.
In Assumption #2 in Question #20 we explored the idea that all true power comes from God, and God is outside of spacetime. Energy is in spacetime and is part of the illusion. Even empty space has energy, as we’ve explored. A master does not summon the energy of the cosmos to overcome matter—or gravity—that would be using the illusion to manipulate an illusion.
Spirit is formless. It has no shape. Energy travels in waves and packets and bundles. Energy can harm. Spirit cannot. Energy blows things up; your Self does not.
Energy kills. Jesus said God is the God of the living, not the dead.
A master knows the difference between energy—which is based on nature’s force—and true power, which comes only from the love of God (see Dr. David Hawkins Power vs. Force). God’s power—flawless love—has never harmed, does not harm now and will not harm in the future.
Energy: Not a big fan of free will
Energy does not consider the free will of what it destroys—including humans—which means it is not of God. When the energy of the atomic bomb was released on the people of Hiroshima and Nagasaki, it didn’t politely knock on the door and ask them if it would be okay to destory them. “Hi, this is energy. I was just wondering if it would be O.K. to incinerate you folks this morning?”
Energy, my brothers and sisters, violates the free will of everything it encounters. When the sun shines on me, it doesn’t ask first if it’s O.K. to give me a sunburn, or even if I wanted to be warmer. Maybe I like being nice and cool.
When the energy of a sonic boom from a fighter jet hits a window, it doesn’t ask permission if it’s O.K. to shatter that window. Maybe a child was sitting right inside that window looking out.
Remember, we are exploring that the structure of spacetime mirrors structures in your mind (the Pauli-Jung Assumption in Question #20). Energy never extends a voluntary definition to join in union with it, which means it is absolutely not of God, whose very definition of existence is voluntary union—which is what love is.
Energy just does what it does without consideration for what’s around it. Energy released in the form of a tsunami doesn’t stop before the beach and make sure all the little kids have their life vests on.
Energy changes by force, without compassion, without benevolence without consideration.
Energy is the foundation of hell istelf; it absolutely is not of Heaven. Is the belief that one can be changed without their permission in order for another to experience an altered version of that one. That’s the mechanism of Dorothy’s nightmare in the Wizard of Oz. She alters her family members without their permission in her dream and it gets away from her.
It is the very mechanism of mental projection itself. It is the mechanism of perceptual alteration. When you look at a star and clump it into the Big Dipper, did you ask those stars if they wanted to be arranged that way, or did you just go ahead and perceive them that way?
What is a stereotype but the same process of mental projection on another.
The bottom line is that the master knows energy is projected thought—as author Gary Renard says in The Disappearance of the Universe. Mental projection and energy are synonymous.
Ask a scientist to show you a picture of energy. They can’t do it. Ask them to hold energy in their hand. They can’t. Ask them what energy really is, and they will tell you—if they are honest—that they don’t know.
Let’s define energy as a master would:
Energy is projected thought. It is one believing they can change the essence of another without that other’s free-will participation. It negates the invitation to join in union (love) and replaces that invitation with a mentally projected forced relationship. Energy is natural force. Love is never forced. Love is Divine power and comes from God and God alone.
There is no energy in Heaven. A master knows this. What are constellations but a mentally projected forced relationship?
Oscillation. Vibration. Motion. Light waves. Energy. Change. It’s all based on the idea of space and time; which is not your true reality. It’s all part of the fantasy island we call spacetime (see Question #1).
A master knows his true home—and the true source of his power and ability to perform miracles—is not a single inch away from where he is, no matter where he is, or how fast he’s moving or what he’s doing in spacetime. A master knows that whatever contains vibration is not his true Self.
And that means spacetime all the way down to its very fabric.




Einstein’s Nemesis: DI Her Eclipsing Binary Stars Solution
The problem that the 100,000 PHD Physicists could not solve
This is the solution to the “Quarter of a century” Smithsonian-NASA Posted motion puzzle that Einstein and the 100,000 space-time physicists including 109 years of Nobel prize winner physics and physicists and 400 years of astronomy and Astrophysicists could not solve and solved here and dedicated to Drs Edward Guinan and Frank Maloney
Of Villanova University Pennsylvania who posted this motion puzzle and started the search collections of stars with motion that can not be explained by any published physics
For 350 years Physicists Astrophysicists and Mathematicians and all others including Newton and Kepler themselves missed the time-dependent Newton’s equation and time dependent Kepler’s equation that accounts for Quantum – relativistic effects and it explains these effects as visual effects. Here it is
Universal- Mechanics
All there is in the Universe is objects of mass m moving in space (x, y, z) at a location
r = r (x, y, z). The state of any object in the Universe can be expressed as the product
S = m r; State = mass x location
P = d S/d t = m (d r/dt) + (dm/dt) r = Total moment
= change of location + change of mass
= m v + m’ r; v = velocity = d r/d t; m’ = mass change rate
F = d P/d t = d²S/dt² = Force = m (d²r/dt²) +2(dm/d t) (d r/d t) + (d²m/dt²) r
= m γ + 2m’v +m”r; γ = acceleration; m” = mass acceleration rate
In polar coordinates system
r = r r(1) ;v = r’ r(1) + r θ’ θ(1) ; γ = (r” – rθ’²)r(1) + (2r’θ’ + rθ”)θ(1)
F = m[(r"-rθ'²)r(1) + (2r'θ' + rθ")θ(1)] + 2m’[r'r(1) + rθ'θ(1)] + (m”r) r(1)
F = [d²(m r)/dt² - (m r)θ'²]r(1) + (1/mr)[d(m²r²θ')/d t]θ(1) = [-GmM/r²]r(1)
d² (m r)/dt² – (m r) θ’² = -GmM/r²; d (m²r²θ’)/d t = 0
Let m =constant: M=constant
d²r/dt² – r θ’²=-GM/r² —— I
d(r²θ’)/d t = 0 —————–II
r²θ’=h = constant ————– II
r = 1/u; r’ = -u’/u² = – r²u’ = – r²θ’(d u/d θ) = -h (d u/d θ)
d (r²θ’)/d t = 2rr’θ’ + r²θ” = 0 r” = – h d/d t (du/d θ) = – h θ’(d²u/d θ²) = – (h²/r²)(d²u/dθ²)
[- (h²/r²) (d²u/dθ²)] – r [(h/r²)²] = -GM/r²
2(r’/r) = – (θ”/θ’) = 2[λ + ỉ ω (t)] – h²u² (d²u/dθ²) – h²u³ = -GMu²
d²u/dθ² + u = GM/h²
r(θ, t) = r (θ, 0) Exp [λ + ỉ ω (t)] u(θ,0) = GM/h² + Acosθ; r (θ, 0) = 1/(GM/h² + Acosθ)
r ( θ, 0) = h²/GM/[1 + (Ah²/Gm)cosθ]
r(θ,0) = a(1-ε²)/(1+εcosθ) ; h²/GM = a(1-ε²); ε = Ah²/GM
r(0,t)= Exp[λ(r) + ỉ ω (r)]t; Exp = Exponential
r = r(θ , t)=r(θ,0)r(0,t)=[a(1-ε²)/(1+εcosθ)]{Exp[λ(r) + ì ω(r)]t} Nahhas’ Solution
If λ(r) ≈ 0; then:
r (θ, t) = [(1-ε²)/(1+εcosθ)]{Exp[ỉ ω(r)t]
θ’(r, t) = θ’[r(θ,0), 0] Exp{-2ỉ[ω(r)t]}
h = 2π a b/T; b=a√ (1-ε²); a = mean distance value; ε = eccentricity
h = 2πa²√ (1-ε²); r (0, 0) = a (1-ε)
θ’ (0,0) = h/r²(0,0) = 2π[√(1-ε²)]/T(1-ε)²
θ’ (0,t) = θ’(0,0)Exp(-2ỉwt)={2π[√(1-ε²)]/T(1-ε)²} Exp (-2iwt)
θ’(0,t) = θ’(0,0) [cosine 2(wt) - ỉ sine 2(wt)] = θ’(0,0) [1- 2sine² (wt) - ỉ sin 2(wt)]
θ’(0,t) = θ’(0,t)(x) + θ’(0,t)(y); θ’(0,t)(x) = θ’(0,0)[ 1- 2sine² (wt)]
θ’(0,t)(x) – θ’(0,0) = – 2θ’(0,0)sine²(wt) = – 2θ’(0,0)(v/c)² v/c=sine wt; c=light speed
Δ θ’ = [θ'(0, t) - θ'(0, 0)] = -4π {[√ (1-ε) ²]/T (1-ε) ²} (v/c) ²} radians/second
{(180/π=degrees) x (36526=century)
Δ θ’ = [-720x36526/ T (days)] {[√ (1-ε) ²]/ (1-ε) ²}(v/c) = 1.04°/century
This is the T-Rex equation that is going to demolished Einstein’s space-jail of time
The circumference of an ellipse: 2πa (1 – ε²/4 + 3/16(ε²)²—) ≈ 2πa (1-ε²/4); R =a (1-ε²/4)
v (m) = √ [GM²/ (m + M) a (1-ε²/4)] ≈ √ [GM/a (1-ε²/4)]; m<<M; Solar system
v = v (center of mass); v is the sum of orbital/rotational velocities = v(cm) for DI Her
Let m = mass of primary; M = mass of secondary
v (m) = primary speed; v(M) = secondary speed = √[Gm²/(m+M)a(1-ε²/4)]
v (cm) = [m v(m) + M v(M)]/(m + M) All rights reserved. joenahhas1958@yahoo.com