Sunday, January 08, 2012

Our Place in the Cosmos



Sermon by Dr. Forrest Hall, guest speaker:


Pick a number!  No, not just any number, the largest number you’ve ever heard of.  How about the U.S. national debt. This morning a bit over 15 trillion dollars and climbing! 15 trillion followed to the right by12 zeros, then a decimal place.  In scientific language we say, 10 to the twelfth. How big is 15 trillion? Well, if you counted out 15 trillion dollars counting 5 one-dollar bills per second, it would take you 3 trillion seconds or about 35 million years to finish.

Have you heard anyone use the number one quadrillion? That’s a 1 followed by fifteen zeros or 10 to the fifteenth.  I’d be willing to bet you have never heard the number one googol. That’s a one followed by one hundred zeros or 10100!  So what? Who would ever need a number like that?

When NASA used the space telescope HUBBLE to count the number of galaxies in the visible universe, we first counted one hundred and fifty billion galaxies! When later astronauts flew to HUBBLE and installed a higher resolution camera we then counted 20 times that number or 3,000 billion, or 3 trillion galaxies.  The Milky Way galaxy contains about 2 billion stars. So a rough estimates of the total star count in all 3000 billion galaxies within our visible universe is roughly 6 billion trillion stars, or 6 quadrillion stars– give or take a few.   If we assume that each of those six quadrillion stars has roughly the same number of atoms as our sun, we get a very rough estimate of 10100  atoms in the universe. Not a gaggle of geese but a googol of atoms.  Ok, now there is a practical use for the number, one googol. At your next party, you can liven up a conversation saying, “Did you know there is a googol of atoms in our universe?”

How our view of our place in the cosmos has changed in just three centuries ago. Galileo didn’t even know about atoms, and thought the universe consisted of just the sun, a few planets that orbited about the sun and a few stars he could see with his new telescope.  In the next couple of centuries the human imagination was stretched -- almost to the breaking point – we are now forced to comprehend a universe containing a googol of atoms constituting six quadrillion stars.

The next shocker is that only 4% of the matter and energy in the universe is observable.  The other 96% that we can’t observe we call “Dark”, meaning that we can’t see it.

Ok.  Now get ready to flex your mind in the other direction – from the unimaginably large to the unimaginably small.

We also know that the galaxies we can see -- all those six trillion stars, their hydrogen and helium, were once all contained in a volume much smaller than the period at the end of a sentence.  How much smaller?  A billion, billion, billion, billion times smaller.  To be exact, a dot with a diameter less than 10-35meters. 10-35 is math shorthand for a number starting with a zero, then a decimal place, followed by thirty four zeros to the RIGHT ending in the numeral one. 

That’s small!!!! But, in the beginning, everything in the universe was squeezed into that dot!  Whoa, wait a minute you are probably thinking.  He’d better explain how we know that

How do we know?  No matter in which direction we point our powerful telescope, whether it’s in the southern or the northern hemisphere, or out from the equator, or the north or south poles, we see every one of those one billion galaxies moving directly away from us. And fast! And the further away from us a galaxy is, the faster it moves away. And they have been moving away. Why? And how do we know why?

We know from Einstein’s theory of General Relativity -- you know, the guy with frizzy hair and mustache who brought you the famous formula E=MC2 -- that all the galaxies and their stars are racing directly away from us because the space in which they are embedded is itself expanding. 

 We normally think of space as the absence of something – totally empty. But that is an illusion.  We just can’t see what is there. Dark matter & dark energy.  Einstein’s theory of General Relativity says that energy, mass, space and time are really one thing, and that mass can cause mass to contract, and energy can cause it to expand. The dark energy filling the universe is causing space to expand.

The best analogy is raisin bread baking in the oven.  Space is the dough, and the galaxies are the raisins.  When we bake bread, we begin with a ball of dough say the size of a golf ball. But when the bread is finished baking, it’s much larger. In an oven, heat energy causes the yeast in the dough to create bubbles, expanding or rising the dough.  In the universe, the energy causing the expansion of space is dark energy. Like yeast in the dough, dark energy fills all the space in the universe. Every grain of it! Dark energy is in other words,  the yeast of the cosmos.  Anyway, from our galactic raisin and our tiny planet Earth located in the Milky Way raisin, we look outward and in no matter which direction we look, all the other raisins, all the other galaxies are rushing away from us as space expands. This is the aftermath of the Big Bang when someone or something turned on the cosmic oven. 

Using physics and observations, we can run the universe backward in time to see how it all must have begun. When we look at a distant galaxy we are in effect looking back in time because the further away a galaxy is, the longer it takes for its light to reach us here. By looking our far enough with powerful telescopes, we can see almost to the beginning of time, 13.75 billion years ago. And what we find is that all that we now see was then contained in a dot no larger than 10-35 meters in diameter. In other words, when we run the cosmic movie backward, the rising bread shrinks to the size of a nearly infinitesimal dot with an unimaginably high temperature -- a billion, trillion degrees. Now there is one hot oven!!!  Before that physics doesn’t really apply so we don’t and cannot know what happened before the Big Bang.
That is the stuff of true mystery, the unknowable.

The physics of cosmology tells us that in the beginning, 10-43 seconds to be exact, just after somehow the heat was turned on by the Big Bang, the size of the cosmic dough ball was not the size of a golf ball, not the size of a period at the end of a sentence, but no larger than a dot 10-35 m in diameter. 

 Like every raisin in the rising loaf of raisin bread, our raisin, the Milky Way appears to be at the very center of the visible universe. Everywhere we look every galaxy are rushing away from us.  Every raisin, every galaxy is also at the center of this expansion because space is expanding uniformly everywhere.  Another Whew!!!

How big is the visible universe? Simply put, it’s the size that we can see – and that is not limited by the power of our telescope. The size of the visible universe is determined by the basic laws of physics.  And that is, how far light can travel since the first stars were created.  We cannot see any galaxy further away than that no matter how powerful the telescope.  Their light has not had time to reach Earth. And that distance is roughly 1028 meters – The number 10 followed by 28 zeros.  
In other words, we have reached our scientific horizons, limited, not by the power of our tools, but by the laws of physics. And those horizons range from 10-35 meters, the smallest thing physics allows us to observe, to 10 28 meters the largest thing physics allows us to see – We have reached the end of our rope so to speak when it comes to our ability to observe the universe. Our horizons begin and end at scales spanning the smallest thing observable to the largest -- roughly 70 orders of magnitude.
Now, if you thought you were beginning to feel your mind warping under the strain of all those huge numbers, consider this.  Not only can we see only 4% of what makes up our universe, many cosmologists, those who spend their lives studying such things, think now that our universe is just one slice of bread within an infinitely large cosmic loaf. This theory is known as the Multi-verse theory.  Cosmologists think that there may be uncountably many, that is infinitely many universes, slices of bread in the giant infinitely large cosmic loaf.

Rev. Gabi:
Enough already! J
That’s quite a lot to come to terms with, to visualize! I can relate to the example of the cosmic bread dough, but beyond that I am unable to comprehend the size and sheer number of what you are talking about. But I must say: I am deeply awed by it! It is proof, at least for me, of how great God is.

Since the beginnings of time, humans have experienced awe - as well as fear - when confronted with the phenomena of nature. And humans have felt the need to explain what they could see and observe. Just look at the many creation myths that you can find in all cultures.  They are an attempt to explain how the world was formed, and where humanity came from. Whereas you scientists investigate the cosmos with the tools of empiricism and rationality, and you come up with some answers and many theories,   creation myths try to explain humanity’s meaning with symbolic narratives. The beings referred to in the myth -- gods, animals, plants -- are forms of power grasped existentially.  However, they are not an attempt to work out a rational explanation of a deity. Explaining God has always been impossible.

And that’s similar to what physicists are finding out:  they can not explain everything. Let me tell you an anecdote about Richard Feynman, the famous quantum physicist,   who was awarded the Nobel Prize for his work in quantum electrodynamics:

He was contemplating the Theory of Everything one night. As the story goes, Feynman was visited by a   “divine revelation” that laid it all out for him.  The next morning, in his Physics class at Cal Tech, he excitedly announced  his discovery to his class. 

“Last evening”, he said, “I stumbled upon the entire general and comprehensive Theory of Everything.” Feynman then turned toward the classroom’s giant blackboard  and selected a chalk from its tray. 
A pin drop could have been heard as he raised the chalk toward its clean blank space.   “Unfortunately”, he said, returning the chalk to the blackboard’s tray, “I cannot write it down for you,   for to do so would detract from its Generality.”

Dr. Feynman got the point across that the moment we attempt to describe reality   with symbols or words, we automatically oversimplify and detract from its native grandeur and inherent complexity.

Dr. Forrest Hall:

In our attempt to describe the universe in mathematical terms, we see that its grandeur stretches even the limits of mathematics, the ruler we use to quantify the smallest to the largest things we can measure, a range extending 70 orders of magnitude.

We have discovered hard limits to what humans can know about the universe and have been able to quantify the physical extent of those boundaries.  And I am not talking about limitations of our measuring instruments.  I am talking about the ultimate limits of what we can actually observe and analyze.  

If you look at the emblem that Reverend Gabi has included in your order of worship, the cosmic Uroboros, you will also find another amazing thing.  Not only are we at the center of our visible universe with galaxies flying away from us in every direction, the scale of our body at about 1 meter or so, is located almost exactly in the center of the cosmic scale. In other words, we humans after all do occupy a unique place in the universe, the exact center of its observable scales and the exact center of its observable horizon. 

So where do we go from here? We have seen far, and deep into reality.  Our equations are elegant, profound, powerful. Yet there seems to be no symbol for God in them. If God is anywhere, God must lie beyond our vast sensual horizons, beyond our physics and beyond our science.

Rev. Gabi:

In other words, God can not be measured by science!

But, you see, theologians don’t feel the need to measure God. They know that God is unbelievably great! True, we can not see, hear, smell, or feel God. And yet we have no doubt that there is something else “out there:” call it the Transcendent, the Ineffable, the Force, the Ultimate, or God. We can’t observe it, we can’t measure it, but we can experience it. Of course, there are as many experiences of God as there are human beings -- and, possibly other sentient beings.

Throughout the ages, countless people have experienced the Divine in one form another, and have tried to describe this experience. It seldom works; or it only works for some of their listeners. And this is where theologians and other religious folk are limited:  we have no common language to share experiences of a spiritual nature.  We are limited by the lack of words and symbols that evoke the same image in all listeners or readers. As the philosopher and Rabbi Abraham Joshua Heschel puts it: “To become aware of God is to part company with words. Nevertheless, we will never sneer at the stars, mock the dawn, or scoff at the totality of being. Sublime grandeur evokes unhesitating, unflinching awe. Away from the immense, cloistered in our own concepts, we may scorn and revile everything. But standing between earth and sky, we are silenced by the sight.”

Dr. Forrest Hall:

So there is that boundary, as Gabi has just said between the known, the knowable and the unknowable  - Rabbi Heschel calls it the ineffable - that which cannot be observed or analyzed. The realm of true mystery.  That which in not only not yet known, but that which we know now is forever unknowable – at least by the tools of science. 

But the more we learn about the physical universe, the more of what we know, in my mind, points to the nature of a transcendent intelligence that goes beyond the that which we measure with the tools of science, no matter how powerful.

To be sure, we have been amazed by what we have learned using those tools.   We have learned that we are cosmic dust that in 13.75 billion years, was made flesh. A process beyond our understanding and power of observation breathed life into that cosmic dust, life able to stare out onto the twinkling necklaces draped over the night sky and wonder in awe at the great drama, the miraculous process of cosmic creation, like an illusion or dream, being sustained by laws whose source we can never know.  

 Each night, when we look into the sky, or at an ant, or flower, that wonder can be ours.

Rev. Gabi:  

But it depends on your level of awareness! As Heschel also reminds us “. . . we need to be aware of the tangent of the Beyond at the whirling wheel of experience.”  Because, in our passion for knowledge, our minds prey upon the wealth of an unresisting world. We quickly lose ourselves in the whirlwind of our knowledge. But, you see, the horizon of knowledge is lost in the mist   produced by fads and phrases.
In order to change this, we have to take notice of what is beyond our sight. We should not be content with converting realities into opinions, mysteries into dogma, and ideas into a multitude of words. Let us not be blinded to the point that what is extraordinary appears to us as a habit, and the dawn becomes a daily routine of nature.

I’d like to conclude with one more quote by Rabbi Heschel: “In the confinement of our study rooms, our knowledge seems to be a pillar of light. But when we stand at the door which opens out to the infinite, we realize that all concepts are but glittering motes that populate a sunbeam.”