Quotes & Sayings

We, and creation itself, actualize the possibilities of the God who sustains the world, towards becoming in the world in a fuller, more deeper way. - R.E. Slater

There is urgency in coming to see the world as a web of interrelated processes of which we are integral parts, so that all of our choices and actions have [consequential effects upon] the world around us. - Process Metaphysician Alfred North Whitehead

Kurt Gödel's Incompleteness Theorem says (i) all closed systems are unprovable within themselves and, that (ii) all open systems are rightly understood as incomplete. - R.E. Slater

The most true thing about you is what God has said to you in Christ, "You are My Beloved." - Tripp Fuller

The God among us is the God who refuses to be God without us, so great is God's Love. - Tripp Fuller

According to some Christian outlooks we were made for another world. Perhaps, rather, we were made for this world to recreate, reclaim, redeem, and renew unto God's future aspiration by the power of His Spirit. - R.E. Slater

Our eschatological ethos is to love. To stand with those who are oppressed. To stand against those who are oppressing. It is that simple. Love is our only calling and Christian Hope. - R.E. Slater

Secularization theory has been massively falsified. We don't live in an age of secularity. We live in an age of explosive, pervasive religiosity... an age of religious pluralism. - Peter L. Berger

Exploring the edge of life and faith in a post-everything world. - Todd Littleton

I don't need another reason to believe, your love is all around for me to see. – Anon

Thou art our need; and in giving us more of thyself thou givest us all. - Khalil Gibran, Prayer XXIII

Be careful what you pretend to be. You become what you pretend to be. - Kurt Vonnegut

Religious beliefs, far from being primary, are often shaped and adjusted by our social goals. - Jim Forest

We become who we are by what we believe and can justify. - R.E. Slater

People, even more than things, need to be restored, renewed, revived, reclaimed, and redeemed; never throw out anyone. – Anon

Certainly, God's love has made fools of us all. - R.E. Slater

An apocalyptic Christian faith doesn't wait for Jesus to come, but for Jesus to become in our midst. - R.E. Slater

Christian belief in God begins with the cross and resurrection of Jesus, not with rational apologetics. - Eberhard Jüngel, Jürgen Moltmann

Our knowledge of God is through the 'I-Thou' encounter, not in finding God at the end of a syllogism or argument. There is a grave danger in any Christian treatment of God as an object. The God of Jesus Christ and Scripture is irreducibly subject and never made as an object, a force, a power, or a principle that can be manipulated. - Emil Brunner

“Ehyeh Asher Ehyeh” means "I will be that who I have yet to become." - God (Ex 3.14) or, conversely, “I AM who I AM Becoming.”

Our job is to love others without stopping to inquire whether or not they are worthy. - Thomas Merton

The church is God's world-changing social experiment of bringing unlikes and differents to the Eucharist/Communion table to share life with one another as a new kind of family. When this happens, we show to the world what love, justice, peace, reconciliation, and life together is designed by God to be. The church is God's show-and-tell for the world to see how God wants us to live as a blended, global, polypluralistic family united with one will, by one Lord, and baptized by one Spirit. – Anon

The cross that is planted at the heart of the history of the world cannot be uprooted. - Jacques Ellul

The Unity in whose loving presence the universe unfolds is inside each person as a call to welcome the stranger, protect animals and the earth, respect the dignity of each person, think new thoughts, and help bring about ecological civilizations. - John Cobb & Farhan A. Shah

If you board the wrong train it is of no use running along the corridors of the train in the other direction. - Dietrich Bonhoeffer

God's justice is restorative rather than punitive; His discipline is merciful rather than punishing; His power is made perfect in weakness; and His grace is sufficient for all. – Anon

Our little [biblical] systems have their day; they have their day and cease to be. They are but broken lights of Thee, and Thou, O God art more than they. - Alfred Lord Tennyson

We can’t control God; God is uncontrollable. God can’t control us; God’s love is uncontrolling! - Thomas Jay Oord

Life in perspective but always in process... as we are relational beings in process to one another, so life events are in process in relation to each event... as God is to Self, is to world, is to us... like Father, like sons and daughters, like events... life in process yet always in perspective. - R.E. Slater

To promote societal transition to sustainable ways of living and a global society founded on a shared ethical framework which includes respect and care for the community of life, ecological integrity, universal human rights, respect for diversity, economic justice, democracy, and a culture of peace. - The Earth Charter Mission Statement

Christian humanism is the belief that human freedom, individual conscience, and unencumbered rational inquiry are compatible with the practice of Christianity or even intrinsic in its doctrine. It represents a philosophical union of Christian faith and classical humanist principles. - Scott Postma

It is never wise to have a self-appointed religious institution determine a nation's moral code. The opportunities for moral compromise and failure are high; the moral codes and creeds assuredly racist, discriminatory, or subjectively and religiously defined; and the pronouncement of inhumanitarian political objectives quite predictable. - R.E. Slater

God's love must both center and define the Christian faith and all religious or human faiths seeking human and ecological balance in worlds of subtraction, harm, tragedy, and evil. - R.E. Slater

In Whitehead’s process ontology, we can think of the experiential ground of reality as an eternal pulse whereby what is objectively public in one moment becomes subjectively prehended in the next, and whereby the subject that emerges from its feelings then perishes into public expression as an object (or “superject”) aiming for novelty. There is a rhythm of Being between object and subject, not an ontological division. This rhythm powers the creative growth of the universe from one occasion of experience to the next. This is the Whiteheadian mantra: “The many become one and are increased by one.” - Matthew Segall

Without Love there is no Truth. And True Truth is always Loving. There is no dichotomy between these terms but only seamless integration. This is the premier centering focus of a Processual Theology of Love. - R.E. Slater


Note: Generally I do not respond to commentary. I may read the comments but wish to reserve my time to write (or write from the comments I read). Instead, I'd like to see our community help one another and in the helping encourage and exhort each of us towards Christian love in Christ Jesus our Lord and Savior. - re slater

Wednesday, December 14, 2011

Alan Guth on Inflationary Cosmology

Genesis 1.1-5: The First Day

1In the beginning, God created the heavens and the earth. 2The earth was without form and void, and darkness was over the face of the deep. And the Spirit of God was hovering over the face of the waters.

3And God said, "Let there be light," and there was light. 4And God saw that the light was good. And God separated the light from the darkness. 5God called the light Day, and the darkness he called Night. And there was evening and there was morning, the first day.

* * * * * * * * * * * * * *

I. An Inflationary Universe, String Theory & Cern's Latest Preliminary Discovery

About This Video

On the morning of December 13th, the European Organization for Nuclear Research (CERN) announced that its Large Hadron Collider had found evidence which leads them to believe that the elusive Higgs Boson may reside at the 126 gigaelectron volts(GeV) of energy with a confidence level of 2.8 sigma. A sigma of greater than 5 is required to announce the discovery of a new particle. World Science Festival co-founder Brian Greene was at Arizona State University at the time, and he met with theoretical physicist and WSF alum Lawrence Krauss in order to field some questions sent in about the Higgs Boson and the future of physics as we know it.

II. The Eternal Inflation of the Cosmic Landscape


About This Video

The search for a unified theory of physics has led theorists far and wide for answers. String theory is a major contender in the race to find the unified theory, but there are things that it doesn’t explain. Surprisingly, the answers have been coming from cosmologists. Stanford University physicist Leonard Susskind explains how a vast energy landscape becomes populated with bubbles, each with their own complex landscapes.

"Bubbles within bubbles within bubbles in an infinite but discrete array of possibilities" - res

 * * * * * * * * * * * * * * *

Start of Article

* * * * * * * * * * * * * * *

The Man Who Put the “Big” in “Big Bang”: Alan Guth on Inflation

December 6, 2011

alan guth
Alan Guth in his early days at Standford
On the night of December 6, 1979–32 years ago today–Alan Guth had the “spectacular realization” that would soon turn cosmology on its head. He imagined a mind-bogglingly brief event, at the very beginning of the big bang, during which the entire universe expanded exponentially, going from microscopic to cosmic size. That night was the birth of the concept of cosmic inflation.

Such an explosive growth, supposedly fueled by a mysterious repulsive force, could solve in one stroke several of the problems that had plagued the young theory of the big bang. It would explain why space is so close to being spatially flat (the “flatness problem”) and why the energy distribution in the early universe was so uniform even though it would not have had the time to level out uniformly (the “horizon problem”), as well as solve a riddle in particle physics: why there seems to be no magnetic monopoles, or in other words why no one has ever isolated “N” and “S” poles the way we can isolate “+” and “-” electrostatic charges; theory suggested that magnetic monopoles should be pretty common.

In fact, as he himself narrates in his highly recommendable book, The Inflationary Universe, at the time Guth was a particle physicist (on a stint at the Stanford Linear Accelerator Center, and struggling to find a permanent job) and his idea came to him while he was trying to solve the monopole problem. Twenty-five years later, in the summer of 2004, I asked Guth–by then a full professor at MIT and a leading figure of cosmology– for his thoughts on his legacy and how it fit with the discovery of dark energy and the most recent ideas coming out of string theory.

The interview was part of my reporting for a feature on inflation that appeared in the December 2004 issue of Symmetry magazine. (It was my first feature article, other than the ones I had written as a student, and it’s still one of my favorites.)

To celebrate “inflation day,” I am reposting, in a sligthly edited form, the transcript of that interview.

Twenty-five Years of Cosmic Inflation: A Q&A With Alan Guth

Davide Castelvecchi: What is cosmology?

Alan Guth: Cosmology is the study of the history and large-scale structure of the universe, and my own niche in cosmology is the very early universe—the first small fraction of a second of the history of the universe.

DC: How is it possible that people can understand the universe itself, as opposed to studying things the universe contains?

AG: We do have a number of pieces of information that we can put together to try use as a basis for constructing theories. Observations about the distributions of galaxies within the visible part of the universe, and the motions of galaxies. Also now very important are observations of the cosmic background radiation—radiation that we believe is the afterglow of the big bang’s explosion itself. And now we have very precise measurements, both of the spectrum of this radiation and also of the small ripples that exist in its intensity pattern. The radiation is almost perfectly uniform. In all different directions in the sky, the intensity we observe is the same to about one part in 100,000. But nonetheless, one does see minute differences from one direction to another. This pattern of ripples is tied directly to two things: theories about how the ripples were formed—which is where inflation comes in—and also to theories that calculate how the structures in the universe have formed from the ripples. Another important ingredient in terms of the observational basis for cosmology is the chemical abundances that we observe in the universe. Those are measured from the spectral characteristics of gas clouds and stars, and can be compared with theories about how the chemical elements were formed in the first few minutes of the history of the universe. And wonderfully, the calculations agree very, very well with the observed abundances of the lightest elements.

DC: When you first had the idea of inflation, did you anticipate that it would turn out to be so influential?

AG: I guess the answer is no. But by the time I realized that it was a plausible solution to the monopole problem and to the flatness problem, I became very excited about the fact that, if it was correct, it would be a very important change in cosmology. But at that point, it was still a big "if" in my mind. Then there was a gradual process of coming to actually believe that it was right.

DC: What’s the situation 25 years later?

AG: I would say that inflation is the conventional working model of cosmology. There’s still more data to be obtained, and it’s very hard to really confirm inflation in detail. For one thing, it’s not really a detailed theory, it’s a class of theories. Certainly the details of inflation we don’t know yet. I think that it’s very convincing that the basic mechanism of inflation is correct. But I don’t think people necessarily regard it as proven.

DC: You recently wrote that “the case for inflation is compelling,” which sounds like a cautious statement.

AG: It’s certainly not as well confirmed as the big bang theory itself. But I guess I’d find it hard to believe that there could be any alternatives for solving the basic problems inflation solves, like the horizon and flatness problems.

DC: Do you have your favorite version of inflation among the many that have been proposed?

AG: Not really, except that I could say that I think cosmology is moving toward describing things in terms of string theory. And there have been a number of attempts to describe inflation in that context. I think that is the future.

DC: So you think that string theory will ultimately prove to be right?

AG: Yes, I do. I think it may evolve a fair amount from the way people think of it now, but I do think string theory definitely has a lot going for it.

DC: Is string theory physics or is it just fancy mathematics so far?

AG: I consider it physics. It’s certainly speculative physics so far — unfortunately, it’s working in a regime where there’s no direct experimental test. But there are nonetheless consistency tests. If the goal of string theory is to build a quantum theory that’s consistent with general relativity, that’s a very strong constraint, and so far string theory is the only theory that seems to have convinced a lot of people that it satisfies that criterion. Just from a sociological point of view, theoretical physicists have been looking for a consistent quantum theory of gravity for at least 50 years now, and so far there’s really only one theory that has reached the mainstream — string theory.

DC: Has string theory really reached the physics mainstream?

AG: Yes. I would say that nowadays, a theoretical particle physicist cannot ignore string theory.

DC: Speaking of sociology, in your book you describe your first attempts as a young particle theorist to describe your idea of inflation to cosmologists, and how communication would break down because people used different lexicons. Is the situation any different now?

AG: I think the situation has improved tremendously between particle physics and cosmology. Now I think that almost everybody in cosmology is reasonably fluent in the vocabulary of both fields, and I think everybody recognizes that there is a strong interface between these two fields. At the same time, now there are also important implications going the other way, with the discovery of dark energy.

DC: Is dark energy more relevant to particle physics than dark matter?

AG: I would say yes. I am not sure if everybody will agree — it depends on what your perspective is. I think dark matter is more relevant to the next age of particle physics experiments — hopefully supersymmetry and perhaps other interesting things that we may discover. On the other hand, there’s at least a good chance that dark energy is energy of the vacuum, so it seems to be telling us something about the fundamental structure of physical law, which is a big surprise. The vacuum energy has been a haunting question for particle theorists since the advent of quantum field theory in the 1930’s. As soon as we had quantum field theory we knew that the vacuum was not a simple state: It was a very complicated state with all kinds of quantum fluctuations going on. And there was no reason at all why the energy of the vacuum should turn out to be zero or small. In fact, nobody knows how to calculate the energy of the vacuum, but if particle physicists were to try to estimate it, the natural answer would be something like 120 orders of magnitude larger than the experimental bound. So it was always a big mystery, but until the advent of dark energy, the belief was that the real number was zero, because of some kind of symmetry that we didn’t understand yet — an exact cancellation between the positive and negative contributions.

If dark energy is the energy of the vacuum, now you need that symmetry to make it almost zero, and then some small breaking of that symmetry to make it a small number that’s not zero. And it all gets very complicated and baroque. Nobody has the faintest idea of how it might actually work. There is also the possibility that the vacuum energy is not determined at all by the fundamental laws of physics, but instead it’s determined anthropically, using the idea of a multiverse. It’s quite possible in the context of string theory that there are many vacuum-like states, and all of them are stable enough that they could provide the underpinnings of a universe. And the one that we happen to find ourselves in is determined by random choice. One would imagine that the universe would inflate eternally through all the different possible vacua of string theory, with infinite amounts of space of every type of vacuum produced — eventually.

DC: Is this the so-called string theory landscape idea?

AG: Yes, that’s the catchword. If this is right, it would mean that in most regions of space the cosmological constant is enormous, and there are some rare regions of space where the cosmological constant happens to be very small. But life can only form if the cosmological constant is very small. So it’s not a surprise that we find ourselves living in one of those regions. An idea like this five years ago would have been completely anathema to particle physicists. It is still anathema to many, but people pay much more attention to this kind of idea now.

DC: Does this connect to the idea of eternal inflation, with multiple universes bubbling off from a primodial vacuum?

AG: Yes, there are two ideas coming together here. One is the idea from string theory, that there’s a huge number of possible vacuum states. And the other is the idea of eternal inflation, that once inflation starts, it never ends, and it explores all possible vacua.

andrei linde
Andrei Linde
DC: Recently Stanford University cosmologist Andrei Linde, who also made seminal contributions to inflation theory, teamed up with string theorists to try to reconcile the two fields.

AG: Yes. I regard that as probably the most interesting approach. I’m a big fan of that work, though I’m not one of the authors. I think it’s the starting point towards what will become a solid embedding of inflation within the context of string theory. Before them, nobody had any good idea for describing within string theory a state that would have a positive cosmological constant.

DC: Does the existence of dark energy suggest a possible connection between the “false vacuum” state that produces inflation and the “true vacuum” state of the cosmological constant?

AG: In principle, yes, although the vacuum states in string theory are really quite complicated states, with a number of degrees of freedom that describe them. Certainly, the state which drove inflation in the early part of our universe had a large, positive cosmological constant. In the end, they would all be described in the same language of string theory, and they would have many similarities. But there also are many significant differences. They are very different energy scales. So I think it’s somewhat a question in the mind of the beholder to decide whether or not there is a close relationship or a distant relationship.

DC: Could there be two different kinds of “repulsive gravity” then, one which acted during inflation, the other one which is acting now?

AG: What I believe, and what is the conventional belief, is that the repulsive gravity is really a feature of general relativity itself — and in fact Einstein made use of it himself in 1917 when he introduced the cosmological constant and tried to use it to describe how the universe could be static, with ordinary gravity pulling everything together and repulsive gravity — the cosmological constant — pushing everything apart. So from the very beginning general relativity incorporated the possibility of repulsive gravity. What creates repulsive gravity is negative pressures. That’s the feature of the cosmological constant and also of states of scalar fields dominated by their potential energy, which is the way conventional inflation works.

Certainly the most plausible explanation for acceleration today, and for inflation early in the universe, was that the universe contains materials that have negative pressures. So at that level of description it’s the same mechanism — because it’s the only mechanism we know. But what the material is that creates the negative pressure is a more detailed question. Whether or not we believe that the KKLMT papers are on the right track, I think we don’t really know how closely related the actual state that drove inflation in the early universe was to the state the universe is in now, with this slow inflation that we attribute to dark energy.

DC: Could there ever be a particle physics experiment to probe dark energy?

AG: I guess I do not see the dark energy influencing or being influenced by particle physics experiments in the foreseeable future. It certainly is highly relevant for astrophysical observations. One important thing we’d love to know about dark energy is whether or not the energy density is constant over time, as it would be if it were a cosmological constant. Or, it could vary with time — in which case, our best explanation would be that it’s energy of a slowly evolving scalar field that fills all of space. That’s usually called the quintessence. There is some hope of answering that question by more detailed astronomical observations. And the best handle of that is probably still the distant supernovae, with experiments such as SNAP [the proposed space observatory Supernova Acceleration Probe].

DC: So is dark energy relevant to particle physics not so much on the experimental side, but because it points to an open problem in its theoretical foundations, i.e., the prediction that the vacuum of quantum field theory should create a much stronger repulsive force?

AG: Yes, in terms of trying to understand the foundations of theoretical particle physics, I think it’s very important. In particular, it seems to be suggesting that there may be no physical principles that determine what the vacuum of string theory is. Maybe it is just all possible vacua happening in all different places [*an infinite state of dimensionality? - res]. Now, I really hope that that turns out not to be the case, because I like to think that physics is more predictive than that. But that is certainly the direction that the dark energy is pointing towards — and it may turn out to be the right direction.

DC: In either case, will a better understanding of dark energy shed light on inflationary cosmology?

AG: Yes, I think so. If it turns out that the only explanation for the dark energy is this landscape idea, that says that if we want to understand how inflation really works, we have to understand it in the context of the landscape of string theory.

chicago CMB
The skyline of Chicago as it might look if our eyes could see the cosmic microwave background. I thought of this while I was visiting the Adler Planetarium, where an exhibt showcased the original notebook in which Alan Guth wrote the words "SPECTACULAR REALIZATION" the night he had the idea of inflation. This is the view of Chicago as seen from the Adler itself.

DC: Inflation predicts that the universe is spatially flat, a fact which is in accordance with our best cosmological observations, in particular of the cosmic microwave background. Does inflation rule out the possibility that the universe might be spatially closed — what mathematicians call topologically compact? Before inflation and dark energy were talked about, the idea was that a universe that’s spatially flat would expand forever, whereas one that curves onto itself would recollapse.

AG: Not completely. The statement that the universe is flat is only an approximation. Inflation drives the universe towards flatness — in fact, if enough inflation happens, it drives it incredibly close to being flat. But you could still imagine a universe that started out closed, and at the end it would be very large, but still closed. It would look flat, because the radius of curvature would be huge. On the other hand, it does all become much more complicated, because remember that we’re talking about spacetime, and not just space. And inflation tends to make the spacetime structure of the universe very complicated, with inflation continuing in some regions and stopping in others. Imagining the kind of complicated things that can evolve, I think the right conclusion is that the words open and closed don’t really apply anymore. On a very large scale, the universe is really neither of those.

DC: Correct me if I’m wrong: The onset of inflation being a very local phenomenon, the universe to which our physical laws apply isn’t likely to have interesting topology, because it arose from a local fluctuation.

AG: That’s right. On scales much larger than we can observe there might be an interesting topology. But inflation would suggest that in the scales that we can observe, the topology would be locally R^3 [three-dimensional Euclidean space]. But this has not stopped cosmologists from exploring other possibilities. One of the anomalies that people are concerned about currently is the observation by WMAP [NASA's Wilkinson Microwave Anisotropy Probe] of the very low values of L — the low multiples. Those fluctuations are significantly smaller than what was expected from inflationary models. It could just be a fluke, but people have suggested other possibilities, such as a universe that is periodic in space, with periodicity of the order of the current horizon distance. But so far people have not found anything along those lines that’s consistent with the data that’s observed.

DC: A mathematician called Jeffrey Weeks, together with a group of physicists, have published a controversial paper in Nature last fall. They searched the WMAP data and claimed it revealed a “house of mirrors” pattern, and thus that the universe was spatially finite and with the topology of a Poincaré dodecahedral space. [This was described in the media as the so-called "soccer-ball universe"; Weeks and his coauthors had described his method for testing whether the universe is spatially finite in the April 1999 issue of Scientific American.] If that evidence were to be confirmed, would it pose a problem for inflation?

AG: Yes, I think it would be very hard to reconcile with inflation.

DC: Virtually all the cosmologists and astronomers I have talked to seem to think that the next big thing in inflation studies will be to look for traces of primordial gravitational waves in the polarization of the cosmic microwave background. In particular, a pattern called the B-mode, if found, would carry information about the first instants of the universe, and thus about the mechanism of inflation. [See the article "Echoes from the Big Bang" by Robert Caldwell and Marc Kamionkowski in the January 2001 issue of Scientific American.]

AG: Yes, that is very exciting. The B-mode, if present, would be the sign that we have found the effect of gravity waves, and not just of density perturbations. Gravity waves would give us a handle on the energy scale at which inflation occurred. One of the big uncertainties in the wide class of inflation theories is that inflation may have at happened at any of a tremendously broad range of possible energies. The kind of physics that you want to think about, to understand how it happened, depend very much on that. So it would be very important to get some observational information.

DC: Is this going to be an exciting time for you, to see how things evolve?

AG: Certainly, yes. It’s been incredibly exciting, ever since COBE [NASA's Cosmic Background Explorer, whose results earned its scientists the Physics Nobel Prize in 2006]. In the early days of inflation, when I and a number of other people tried to calculate the density perturbations that would arise from inflationary models, I really never thought that anybody would ever actually measure these things. I thought we were just calculating for the fun of it. So I was kind of shocked when the COBE people made the first measurements of the non-uniformities of the CMB. And now they’re measuring them with such high precision — it really is just fantastic.

DC: And that could happen again — experiments that were considered beyond the realm of possibility will become reality?

AG: Yes, that seems to happen almost every year now.

For Further Reading:
  • The Growh of Inflation, by Davide Castelvecchi. Symmetry, December 2004.
  • Alan Guth’s Notebook, as described by Davide Castelvecchi in Symmetry.
  • Echoes from the Big Bang, by Robert R. Caldwell and Marc Kamionkowski. Scientific American 284, 38-43, January 2001.
  • Is Space Finite? By Jean-Pierre Luminet, Glenn D. Starkman and Jeffrey R. Weeks. Scientific American 280, 90-97, April 1999.
  • The String Theory Landscape, by Raphael Bousso and Joseph Polchinski. Scientific American 291, 78-87, September 2004.
Sphere and skyline illustrations courtesy of Symmetry magazine.

About the Author: Davide Castelvecchi is a freelance science writer based in Rome and a contributing editor for Scientific American magazine. Follow on Twitter @dcastelvecchi.

*res - R.E. Slater