Fluctuation of the pupil.

So we start with the fluctuation density field, the relative fluctuation delta that we introduced earlier.

There's a fluctuation in their power grid.

Cortical fluctuation. It could trigger a seizure.

And scientists, amidst complexity, amidst fluctuation and uniqueness.

I'm reading a fluctuation in the warp field.

Waves of electromagnetic fluctuation in a vacuum seem unreal.

There's always a little fluctuation from sample to sample.

We therefore conclude the universe is not a fluctuation.

This scenario predicts that we should be a minimal fluctuation.

You could be a random fluctuation out of the nothingness.

I took it for wireless fluctuation adjusting accelerometer for the laparoscopic surgeries.

large scale structure today. This is a treatment of single idealized density fluctuation.

And then the fluctuation itself, which is overdense, acts like a little closed universe.

So, to bring this point again. As a density fluctuation collapses, 2 things can happen.

less fluctuation in those sample means. So then, if I plotted all my sample means.

And that's about as large density fluctuation that can cause peculiar unknown as you expect.

But if my samples were large, 100, then we'd only have a little bit of fluctuation.

If the universe is not a fluctuation, why did the early universe have a low entropy?

In order for density fluctuation to achieve higher density contrasts, energy must be dissipated in some way.

And there'd be a lot of fluctuation if my samples only had ten wine experts in them.

But the important point is that fluctuation growth by itself does not change the shape of the spectrum.

The simple virialization, dissipationless collapse of a fluctuation in an expanding universe, can reach a density contrast of 200.

However, stars are units and they're randomly distributed in their fluctuation and fluctuations of infinite gravitational forces are also infinite.

The curvature of space time around the black hole brings to life the quantum mechanical fluctuation, and the black hole radiates.

If our order were due to a fluctuation, we would not expect order anywhere but where we have just noticed it.

So when, microwave background is released, the decoupling stops, and, whatever pattern of fluctuation was there will remain frozen and observable today.

Note, that this is a different process from fluctuation growth by slow accretion. Nevertheless, it results in ever larger clumps being made.

And so the key points about the growth and fluctuation is that always the horizon scale determines the characteristic length of the fluctuations.

The physical reason for this is the speed of sound drops, because it's dominated by matter, not radiation, and fluctuation can start to grow.

Now the key point here, is as you recall, the transition from simply gravitationally bound fluctuation to the one that's fully virialized, meaning matter is just rearanged due to the gravity.

If I took small samples of ten, then the distribution of sample means, would be Y. There could be lot of fluctuation, so it'd have a wide distribution of sample means.

So how do go from fluctuation, that there a part in a million, to large scale structure, that is factor of 100 overdense to galaxy that are, factor million overdense and that is the job.

Andrew Lange and Paolo de Bernardis, and they were the first ones to have convincing measurement of this fluctuation at the scales that are relevant here, and the first ones to actually infer cosmological parameters from that.

Zurich, it's the middle of the night there, so why don't you guys get some sleep, and, new york, why don't you run the currency fluctuation models in time for zurich when the commission wakes up, okay?

So, if we take the point of the outermost shell and ask how long before a point collapses to the middle, that is basically the time for the collapse of the fluctuation, that's called a free fall time.

Feynman says, From the hypothesis that the world is a fluctuation, all the predictions are that if we look at a part of the world we've never seen before, we will find it mixed up, and not like the piece we've just looked at high entropy.