← Caged by Infinities

8.4 The Gaps

And thus, we learned all the theories of physics across centuries, by reading just about 5 pages. It is time for us to see what is really missing. We are trying to explain the objective world through the scientific laws. This world runs on an arena of space and time, well actually, spacetime as we have learned, and matter and energy inside it which evolves with time. We have physical laws that explain how this world evolves. Is that it? Do we have laws which explain everything about how this world evolves accurately? Not really. There are still plenty of unsolved problems.

The Big, the Small and the Beautiful

We have entities like space, time, and fundamental particles that we use to explain the universe. When we try to stretch their limits and push their boundaries, we run into many issues.

The Big

How big is the Universe? Is there a boundary to space or time or spacetime? If there is a boundary, what lies outside of it? Or is it infinite? There is a theory that the universe is finite but unbounded. In this type of universe, if we keep travelling one direction, we will eventually come back to where we started. It is similar to a two dimensional being that walks around the earth in one direction will never reach a boundary and will end up where they started again.

We don’t know the answer to these questions. If you read many articles about the cosmos, you will see that scientists often use the term Observable Universe to make it clear that they are only talking about the universe we can observe irrespective of where its real boundary may be. For all we know, we may be only observing 1% of the entire universe or the universe may just be infinite or even a hypersphere that isn’t bounded but is finite.

The question of how big it is doesn’t just pertain to the spatial view of the universe. It is also a question about the time axis of the universe. Does time go infinitely backward and forwards? For a long time, the answer to this question was thought to be yes, until we started using the theory of relativity and observations in space as we started understanding the universe better.

Our best model says the universe was once extremely hot and dense, and it’s been expanding and cooling ever since - that’s what we call the Big Bang. It’s tempting to picture the very beginning as a tiny point of “infinitely warped spacetime” where time itself switched on, but that’s not quite right.

The word “singularity” sounds like a physical thing, but it’s really a warning sign. It means our equations - Einstein’s general relativity - stop working there and start spitting out infinities. When your calculator says “error,” you don’t conclude the universe is made of errors; you conclude you need a better calculator.

So did time begin at the Big Bang? Maybe. Or maybe there was something before - a previous collapse, an eternal foamy chaos, something quantum gravity will one day describe. Right now, honestly, we don’t know. The Big Bang theory describes the expansion from that hot dense state very well, but what happened at the very first moment - or whether “before” even makes sense - is still an open question.

How about the end of time? As of now, the universe is not just expanding, the speed at which it expands is accelerating. There are many theories around how the universe will evolve far in the future.

In the last two theories, time continues to exist without a boundary whereas in the first two theories, time does have an end at some point.

The Small

The next question we ask ourselves is how small can we divide the things we see in this world?

The beautiful

There are lots of phenomena we observe in the universe which are beautiful because of the mystery and sheer magnificence but not thoroughly understood by us.

Black Holes - You might have heard a lot about this in science fiction. When a really massive star - roughly 20 times heavier than our sun or more - reaches the end of its life, it can explode and then its core collapses under its own weight to form what we call a black hole. The matter gets packed so densely that it bends spacetime so strongly (just as Einstein’s general relativity predicts) that even light cannot escape it. Hence the name black hole.

You might have heard of something called the Chandrasekhar limit - that’s a different threshold (about 1.4 times the sun’s mass) that decides whether a smaller dead star becomes a white dwarf. Black holes come from much heavier stars, where even the forces holding up a neutron star give way.

Black holes were theoretically predicted based on Einstein’s laws of relativity but we now have evidence that they exist. In fact, we have a huge one right in the centre of our galaxy. Interestingly, black holes are also predicted to have singularities in their centre, similar to the singularity we had before the big bang. Maybe each black hole has a universe inside it?

Dark Matter - When we observe far away galaxies, we make some predictions on their behaviour based on our estimates of how much matter is present in those galaxies. But it turns out that, based on the gravitational effect we have measured inside these galaxies, there is a lot more mass in them than we predicted. The additional matter we couldn’t account for is what we call the dark matter. Dark Matter accounts for approximately 26% of mass-energy in the universe.

Dark Energy - As mentioned before, the universe doesn’t just expand. Its expansion is accelerating. In order for this acceleration to happen, there must be some additional energy coming from somewhere and we don’t know where. The name we have given for the energy that is responsible for the acceleration of the expansion is dark energy. Dark energy accounts for approximately 68% of mass-energy in the universe. So away dark matter and dark energy, we only understand about 5% of the mass/energy in the universe.

The Mystery of Life - Many of the parameters of the universe seem to be set exactly right so that it will lead to complex life like ours. How did that happen? The common answer to this is what they call anthropic principle that twists the question back. As we humans are looking at the universe and learning about it, it must have the correct parameters to evolve humans in the first place. If not, we won’t be asking these questions to ourselves. Not everyone agrees with this explanation though.

Problems With Predictions

Science allows us to predict the future and past state of a system from its current state. How accurate are its predictions? We run into two issues.

Mind

In the previous chapter, I mentioned how science explains the world (the object) but not the self/mind (the subject). Well, it doesn’t explain the subject yet. The problem of the Mind is quite a huge one itself that I will tackle in a future chapter. For now, I will point out that scientists and many non-scientists assume that some magic happens in the brain and that results in the mental experience we have. They believe that what is considered magic now can be easily explained through the scientific laws in the future based on neuroscientific research. But we haven’t done it yet. The fact that we haven’t explained it yet through science doesn’t mean that we will never be able to explain. But for now, this is still a gap.

Further Reading