Our universe began in a state of ultimate
heat and compression in what we call the big bang.
And it will “end” by expanding forever
towards a state of perfect cold and emptiness.
It’s incredible that we could figure this
much out, but we should not get too cocky
- big questions remain open.
Like, what happened before the big bang?
What, if anything, happens after our universe?
I’m about to give you the most outrageous
hypothesis so far that may actually be right.
Conformal Cyclic Cosmology is a story of the
origin and the end of our universe from great
mathematical physicist Sir Roger Penrose.
It’s goes like this: the infinitely far
future, when the universe has expanded exponentially
to to an unthinkably large size, and every
black hole and particle has decayed into faint
radiation .... that infinite stretch of space
and time is identically the SAME THING as
the infinitesimal and instantaneous big bang
of a new universe, and our universe is just
one in an endless chain.
We know this is an outrageous proposal because
Roger Penrose himself called it that.
And as with all outrageous proposals it’s
probably wrong.
But if there’s a faint chance that it’s
right it’s so bizarre that we should definitely
know about it.
OK, so, conformal cyclic cosmology, CCC.
Here, conformal is for the “conformal scaling”
needed to turn your gigantic end of the universe
into a tiny new big bang.
A conformal transformation is just some mathematical
function that you apply to a geometric space
which preserves all of the angles in that
space.
An example would be if you had a sheet of
rubber and drew some lines on it, then expanded
the rubber evenly in all directions - the
lines would get longer and further apart,
but the angles at their intersections would
stay the same.
This is perhaps the simplest conformal transformation
- just multiplying or dividing all dimensions
by the same scaling factor.
We would say that our universe has conformal
invariance under scale changes - so the angles
don’t change if you change the size smoothly.
But other things sure do change.
It makes a big difference whether every atom
in the universe is right next to each other
or a billion light years apart.
But let me try to give you a sense of a situation
where scale might not matter.
A conformal scaling of spacetime means scaling
both space and time.
For example, consider a universe that’s
one light-second across, and it exists for
the span of a single second.
Light has time to travel across it once.
Scale it up by around 30 quintillion times
to describe a second universe that’s a billion
light years across and lasts a billion years.
Again, light crosses it once in that time.
Let’s say these universes contain no matter
- only photons - light.
They both contain the same number of light
rays, which begin traveling in the same direction,
although obviously they’re packed much closely
together in the smaller universe.
Over the life of both universes, those rays
trace out the same pattern - all the angles
between them stay the same, and the rays pass
close to each other the same number of times.
Now these clearly aren’t the same thing.
Light takes 30 quintillion times longer to
cross one than the other.
But who’s to say that?
Remember, the universes contain only light
- no observers and no clocks.
And there’s the key point: light does not
experience the flow of time.
For those photons, the beginning of their
journey is the same as their end, and these
universes are equivalent.
So there’s a crude notion of how a tiny
early universe could be equivalent to a gigantic
late universe.
It was pretty loose compared to the formal
explanation of conformal cyclic cosmology.
More “street” cyclic cosmology.
But let’s get a bit more rigorous - we’ll
call it business casual cyclic cosmology.
To really compare the sizes of two chunks
of spacetime we need to grid them up with
rulers and clocks.
Surely, then, the big universe will have more
length and time ticks.
We’ll simplify things by gridding up an
imaginary universe with only one dimension
of space on the x-axis and one dimension of
time on the y, and we choose our axes so that
light travels at a 45 degree path - the graph
spans either 1 second in time and 1 light
second in distance, or a billion years and
a billion lightyears, depending which universe
we’re talking about.
Either way, light travels a 45 degree path.
This is a spacetime diagram.
Let’s take two instantaneous events in this
universe, separated in both space and time.
The separation between them can
be determined by the number of gridlines of
space and time you pass on your journey.
Now in Einstein’s universe it’s not quite
that simple.
Lines representing constant distance or simultaneous
times shift with the velocity of the observer.
If I draw the line of constant time for all
possible travelers passing by my position,
I get these nested curves - hyperbolas.
They show how time will tick for any constant-velocity
observer passing through this point.
By the way, our episode on the geometry of
causality goes into all of this in more detail.
The best way to define the separation between
two events in spacetime is by the travel time
of something taking the most direct path between
them - a path of constant velocity that reaches
that point in space at the right instant in
time.
This is the so-called spacetime interval,
and it’s equal to the amount of time that
passes on the clock of the traveler - or the
proper time of the traveler.
It’s the number of these hyperbolic intervals
crossed.
So it turns out that we grid up the universe
by the rate of ticking of the clocks of its travelers.
But what if the universe has no clocks?
That would be the case of a universe that
contained only light.
Light follows these tracks in between the
time grid, and never, ever cross contours
that mark even a single tick of a clock.
For light, or any light-speed particle, the
beginning and end of every journey is the same.
Both space and time lose meaning for a photon.
As Roger Penrose puts it: in order for time,
and hence space to be meaningful, a universe
must be able to build a clock.
A clock must see the spacetime grid - and
to do that it must travel at sub-light speed.
And in order to do that, the clock must have
mass.
So if you have even a single electron in the
universe you can build a clock and can tell
the difference between the one light-second
and the billion light-year sized universes.
But with only light or other light-speed radiation
there’s nothing internal to those universes
that can tell them apart.
They’re identical under the conformal transformation
of rescaling.
So how does this apply to our universe?
Well, it may be that in the extreme far future
our universe will contain only radiation.
Eventually all stars will die and their remnants
will decay - black holes will evaporate by
Hawking radiation, and particles of matter
will decay into their lightest possible components.
In the case of the proton that’s speculative,
but it may be the case that we’re left with only
a universe of photons, electrons and positrons,
and neutrinos, as well as gravitons - the
quantum particles of gravity.
The photons and gravitons are massless - you
can’t build clocks with them.
But the others do have mass, so presumably
there’s still a way for the universe to
tell that it’s gigantic.
Penrose speculates that mass itself may not
be a fundamental property, and may eventually
decay to leave massless electrons, etc.
The standard model of particle physics predicts
eternal electrons.
But it’s not absurd to imagine their mass
decaying.
The masses of the elementary particles are
not some fundamental property of those particles
- they come from the interactions of those
particles with quantum fields - the Higgs
field in the case of the electron.
I’ll come back to why we might expect the
mass granted by the Higgs field to change
over time.
So that’s the late universe.
Filled with only timeless radiation, it would
possess no spacetime grid, so perhaps could
be considered sizeless.
But what about the early universe?
Surely it was full of particles.
Well yeah, but those particles were effectively
massless also.
Two ways to think about this: A particle's
energy is a combination of its kinetic energy
and rest mass energy.
Kinetic energies were so high at the big bang
that rest mass energy was completely negligible
- all particles behaved like light-speed particles.
And that’s precisely true for things like
quarks and electrons, which gain their masses
from interactions with the Higgs field.
But that only works below a certain temperature
- in the extreme temperatures of the Big Bang,
the Higgs field could not grant mass.
There’s a previous episode, obviously.
By the way, a change in the nature of the
Higgs field - if it decayed to a lower energy
- could eliminate elementary particle masses
in the late universe also.
In the first tiny fraction of a second
we can think of the universe as being full
of effectively or actually massless particles.
Hence the concept of time is as meaningless
as in the late universe.
But does that really mean we can equate the
two?
For the black-tie formal answer we’d need
to delve into the math of the conformal equivalence
of the beginning and end of time.
But we’ll just do it semi-formally without
the math.
Maybe cocktail cyclic cosmology?
One of the other things Roger Penrose is famous
for is his Penrose diagrams - these are ways
of mathematically transforming our grid of
spacetime to fit infinite distance and time
into the one map, while at the same time preserving
the 45 degree path of light.
The edges of this map represent “conformal
infinity” - where infinite space and time
are compressed onto an edge.
That’s for one dimension of space and one
dimension of time.
For the full 4-D spacetime the edge becomes
a 3-D “hypersurface” in which infinite
distance and time are compressed or “conformally
rescaled” into a finite space.
Similarly, the infinitesimal or “zero-sized”
point of the Big Bang can be rescaled into
a finite space.
This was actually a discovery by one of Penrose’
colleagues, Paul Tod, and Tod’s work inspired
Penrose to follow this idea in the first place.
So you stitch these rescaled “conformal
hypersurfaces” together and you get this
endless chain of universes.
Penrose calls each universe in the chain an
“aeon”.
By the way, one important aspect of all of
this is that in order for the ends of time
to be stitched together by this sort of conformal
rescaling, the universe needs a positive cosmological
constant.
That means it needs dark energy.
Which our universe has, so no problem, but
it’s interesting that it worked out so neatly.
Penrose also says that CCC naturally gives
you dark matter - but we’ll skip that for now.
Only radiation - light and other massless
particles - can cross over this conformal
boundary from one aeon into the next.
Because radiation can pass between universes,
conformal cyclic cosmology gives a natural
explanation for the extreme smoothness that
we observe in the early universe.
This was actually Penrose’s motivation in
the first place: to explain the apparent smoothness
of the early universe.
In particular, to explain its extremely low
entropy.
If entropy can only rise over time, per the second law
of thermodynamics, how did it get so low at
the start?
There is a standard explanation for the smoothness
of the early universe - its cosmic inflation - a
period of extreme exponential expansion that
smoothed things out in the first fraction
of a second.
But Penrose insists that this does not explain
the low entropy of the big bang.
Paul Tod’s conformal transformation of the
Big Bang singularity helped Penrose to demonstrate
that the smallness of the entropy at the Big
Bang is due to the tiny entropy in the gravitational
field at the time.
That then inspired this daisy-chaining of
universes, which eliminated the need for inflation.
In CCC, all of the energy - and, importantly,
the gravitational field - is smoothed out
over infinite time between aeons.
Inflation isn’t needed because the inflationary
period is equivalent to the rescaled late-time
forever of the previous universe, where exponential
expansion was fueled by dark energy.
For the daisy-chain-verse to give you low
entropy big bangs, you need to actually clean
the entropy slate between aeons.
To do that, black holes must swallow entropy
- and destroy information.
This is another issue with the CCC model - most
physicists think quantum information can’t
be destroyed.
But Penrose isn’t so sure.
OK, so how do you test an idea like this?
Wait infinite time and see if you find yourself
in a big bang?
Well actually, Penrose has proposed a test - and in fact conducted it and claimed convincing
evidence.
If radiation can travel between universes,
and if the end of the previous universe was
not completely smooth that could lead to features
in the cosmic microwave background radiation.
Penroses proposes that the collisions of super
massive black holes in the previous universe
may leave rings on the sky in the next.
And in a paper with Vahe Gurzadyan he claims
detection of just such features.
Others have questioned the statistical methods
of that study, which were non-standard, and
they say there are no statistically significant
features.
Penrose and Gurzadyan have one more somewhat
awesome speculation.
They wonder if civilizations might be able
to communicate between universes.
It turns out that, as well as photons, gravitational
waves should be able to pass between aeons.
If a super-duper-ridiculously advanced civilization
could manipulate the dances of gigantic black
holes, they could potentially send information
between universes.
So far no evidence of that.
But wouldn’t it be cool if we found a message
scrawled on the sky?
Like, hey guys, try not to mess up your aeon,
remember to eat your greens, and try to have
fun in this infinite chain of conformally
rescaled spacetime.
Before we get to comments, I just want to
take a moment to thank everyone who supports
us on Patreon.
Every little contribution is incredibly helpful.
Now we normally list some of the Patreons supporters in the credits and the description, but we’ve just added
a new perk.
All patreon supporters will have their names
encoded in the orbital frequencies of colliding
suppermassive black holes at the end of time
to be propogated across the conformal infinity
into the next Aeon.
As a special huge thank you to Caed Aldwych
who supports us at the Big Bang level, Caed
we’re inscribing your name on the Cosmic
Microwave Background of the next Universe
to continue your glory and to seriously confuse
the astronomers of the next aeon.
In our recent episode we looked at the possibility
that viruses can travel between planets.
TLDR: it would be very very difficult for them to survive, and definitely the current virus didn’t come
from space ... but it’s not totally ruled
out that maybe it once happened.
Let’s see what you had to say.
Drakenkorin27, who is a bona fide virologist,
gave us even more reason to doubt that any
viruses from space have ever infected earth life.
I had pointed out that alien viruses would
need to be DNA-based in order to infect DNA-based
life.
Drakenkorin27 points out that the DNA of all life that evolved on earth uses the same code
for instructing the molecular machinery to translate the DNA.
These codes are made up of specific combinations of three DNA based pairs like ATG
Which everyone knows this is the beginning of a gene sequence.
There’s no reason to believe that alien
DNA would have evolved exactly the same code
Alien viruses would have no way to deliver
their demands - for example replicate me or to
take me to your leader.
MC’s creates notes that if the RNA world
hypothesis is correct, then viruses were the
first "life" to appear on Earth.
Right - and that’s really what scientists
mean when they say viruses may have predated
cells.
They mean that some virus-like entity - an
RNA strand that could execute various simple
functions - may have been in operation before
cells evolved into modern viruses, rather
than having sort of de-evolved from cells
later on.
Devin Smith asks what protocols exist for
protecting earth from alien microbes, should
they be discovered on a mission - say, to
Mars.
So those protocols do exist - and basically
involve extreme quarantine.
The outer space treaty demands all space samples
be quarantined in a biosafe level 3 facility.
Samples from somewhere like Mars that has
the potential for past habitability demand
a biosafe level 4 facility with additional
safeguards that haven’t actually been built
yet.
And if it was actually alien life?
Biosafe infinity seems prudent.
Not that it matters, we know one of the critters
is going to sneak in by infecting one of the
astronauts and, like, controlling their mind.
Aurora Stark realizes we can have an asteroid
impact and alien virus wrapped up in one convenient
single apocalypse, and asks that we stop giving
2020 any more ideas.
Well sorry Aurora, but if 2020 watches spacetime
then in we’re trouble.
I wonder, is it possible to be devoured by
a black hole while being blasted by a supernova,
and frozen by the heat death of the universe
all at the same time?
