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80 picograms

(about the mass of a single red blood cell 🩸) is all it would take to destroy 5% of the observable universe.

Don't panic. That energy must be squeezed into a tiny bubble in just the right way. Humans certainly can't do it and nature probably won't, but the physics behind it is real.

Start reading

That's a real number. Here's the catch.

A picogram is a trillionth of a gram. Eighty of them wouldn't even register on the most sensitive ordinary lab balance. Yet if our best theory of particles is right, that tiny amount, placed in exactly the right way, could start a chain reaction that swallows galaxies.

First, a clarification. We're not talking about 80 picograms of some doomsday material. We're talking about 80 picograms' worth of energy. Einstein showed that mass and energy are two forms of the same thing, so every bit of energy has a weight. Here's the maths. It's the only equation you really need tonight:

E = m × c²

0.00000000000008 kg (80 picograms) × 90,000,000,000,000,000 (the speed of light, squared)

≈ 7,200 joules

7,200 joules is about the energy of five burning matches. 🔥 That's it. That's the whole budget.

So how could a few matches' worth of energy threaten the universe? Because it isn't a bomb. It's a trigger.

Drop a single match in a dry forest and it can set off a wildfire that releases a hundred trillion times more energy than the match ever held. The match didn't contain the fire. It unlocked it.

The 80 picograms are a handful of matches. The forest is empty space itself.

To see how empty space could "burn", we need to start with a surprising fact: empty space isn't empty.

Chapter 1

Empty space is hiding something

Take a box, remove every atom, every speck of light, everything. What's left isn't nothing. Space is filled with invisible fields. Think of a field as a setting that exists at every point in the universe, a bit like the temperature in a room, except it's built into space itself.

One of them is the Higgs field. Its setting is what gives electrons, quarks and other basic particles their mass. Without it, atoms couldn't hold together, and neither could you.

Everywhere in the universe, the Higgs field has settled into one calm, steady setting. Physicists call that resting state the vacuum. It's the ground floor of reality.

🧩 What's the "Standard Model"?

It's physics' rulebook for every known particle and force except gravity. It has been tested for 50 years to astonishing precision, and it predicted the Higgs boson decades before CERN's Large Hadron Collider found it in 2012. The vacuum numbers on this page come from that rulebook. The distances come from cosmology's standard picture of the expanding universe, which adds gravity and dark energy.

Here's the unsettling part. The rulebook can tell us whether our ground floor is really the bottom. The answer depends mostly on two measured numbers: the mass of the Higgs boson (125 GeV) and the mass of the top quark (about 173 GeV), the heaviest elementary particle we know of, nearly as heavy as an entire gold atom.

GeV is the energy unit particle physicists use. One GeV is roughly the energy locked inside the mass of a single proton.

Plug those two numbers in, and the answer comes out: probably not. Imagine every possible setting of the Higgs field laid out as a landscape, where height means energy. At extreme energies, around a hundred billion GeV, that landscape seems to tip over and slope down to somewhere much lower.

Picture a ball resting in a little dip on a hillside. It looks settled, and for now it is. But it isn't at the bottom. Just past a small bump, there's a far deeper valley. Try giving it a push 👇

Push the ball over the bump

Drag the slider to roll the ball uphill.

A universe resting in a dip like this is in what physicists call a false vacuum. False, because it looks like the bottom but isn't. The deeper valley is the true vacuum. Physicists call our situation metastable: stable for now, but not forever.

If the Standard Model is the whole story, the measurements say that's where we live. (Whether it is the whole story is a big "if", and we'll come back to it at the end.)

Chapter 2

The universe's lottery

Nobody is pushing our universe. So how could it ever get over the bump? It doesn't have to climb. In the quantum world, things can do something that's impossible for a ball: pass straight through a barrier they don't have the energy to climb.

This is quantum tunnelling, and it's not science fiction. The Sun only shines because particles in its core tunnel through a barrier that should keep them apart. Your phone's memory chips rely on it too.

So every patch of space is, in effect, rolling dice, over and over, to see whether a tiny piece of it tunnels through. If one ever wins, a microscopic bubble of true vacuum appears inside our universe. Go ahead, roll:

Roll the cosmic dice

Each roll is one chance for the ball to tunnel through the bump.

You'll never win a roll, and neither will the universe, practically speaking. The chance of a win on any single roll works out to roughly:

1 in 10830

That's a 1 followed by 830 zeros. It's like winning the EuroMillions jackpot about 100 times in a row. Space is made of so many tiny patches, each rolling unimaginably fast, that over our whole visible past the universe has rolled more than 10200 times. That still isn't remotely enough.

Physicists have run the full calculation, and they sum it up as a lifetime of about 10161 years. That's the time over which you'd expect one bubble to appear somewhere in a patch of space 10161 light-years across. The patch that could ever reach us is unimaginably smaller, so the wait for a bubble that could actually touch us is far longer: well over 10600 years, by this page's extrapolation from the same calculation. (That calculation used a top quark mass of 173.1 GeV. The latest measurements come out slightly lighter, which makes the vacuum last even longer.) Here's what the age of the universe and that 10161-year lifetime look like written out:

Age of the universe so far

13,800,000,000 years

Calculated lifetime of our vacuum

100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 years

That's the first reason not to panic. On its own, nature essentially never does this. The real question is whether someone could force it. We'll get there in chapter 5.

Chapter 3

Once it starts, it never stops

Suppose a bubble does appear, by freak luck or on purpose. What happens next comes down to a simple tug of war.

The bubble's wall costs energy, like the skin of a soap bubble. Its inside pays energy back, because the true vacuum sits lower than ours. A small bubble is mostly wall, so the cost wins and it collapses. A big bubble is mostly inside, so the payoff wins and it grows.

cost = wall − inside

The wall grows with size² (it's a surface). The inside grows with size³ (it's a volume).

A cube always beats a square eventually. Drag the bubble's size and watch where it tips:

The tipping point

Net energy cost of a bubble, by size, counting the cost at the tipping point as 1. (Simplest version of the maths.)

Notice the shape of that curve: a hill with a peak. It's the same bump the ball had to get over in chapter 1, seen from a different angle. The top of the hill is the critical bubble.

Past the tipping size, every bit of growth pays for the next bit. Nothing ever needs to be added again. The released energy goes into shoving the wall outward. A bubble forced into existence, like the one in this story, is moving at 99% of the speed of light within about 10−33 seconds (a billionth of a trillionth of a trillionth of a second). A naturally tunnelled bubble, tens of millions of times smaller, gets there in about 10−41 seconds. Either way, it keeps speeding up from there.

You would never see it coming. The wall arrives right behind its own light.

That's not poetry. Nothing outruns light, and the wall moves so close to light speed that the warning and the wall arrive practically together. There's no moment in between to notice anything.

What's actually inside

Saying the particles inside just get different masses would undersell it. Behind the wall, everything that makes our universe work changes at once, and none of it can be undone. It isn't an explosion that scatters things. It's a rewrite of what things are allowed to be.

What changesOur universeInside the bubble
Higgs field setting246 GeVat least 10 billion GeV, likely far more
Electrons and quarkslight enough to build atomsat least 10 million times heavier (electrons at least 40 million)
The weak forcestrong enough to let the Sun burnat least a million billion times weaker
Atoms and chemistryeverything you're made ofnothing we would recognise
Space itselfexpanding, a little faster every yearcaving in on itself
How long it lasts13.8 billion years and countingabout 10−34 seconds

The Higgs field jumps. Its new setting is at least 40 million times higher than ours, and by the Standard Model's own numbers probably far higher still. Everything that gets its mass from the Higgs (electrons, quarks, and the particles that carry the weak force) gets heavier along with it. Electrons and the weak-force carriers go up by about the same factor. Quarks go up somewhat less, at least 10 million times, because how strongly they grip the Higgs field shifts at high energies.

The forces change. With its carriers that much heavier, the weak force becomes at least a million billion times feebler. That's the force behind the very first step of the Sun's fusion. And with electrons and quarks unrecognisably heavy, the chemistry we know has nothing left to work with.

Space itself caves in. Our vacuum holds a tiny amount of positive energy, which is why the universe's expansion is gently speeding up. The true vacuum holds an enormous amount of negative energy. In 1980, Sidney Coleman and Frank De Luccia worked out what that does: gravity pulls the inside of the bubble into a "big crunch". Using the Standard Model's numbers, each region collapses within about 10−34 seconds of the wall reaching it (for a naturally tunnelled bubble, about 10−40 seconds), while the wall itself keeps racing outward.

So there's no rebuilding afterwards. No matter clumping back into new stars, no strange new life billions of years later. Coleman and De Luccia noted that people could once take comfort in imagining the new vacuum might someday be home to something that could feel happiness. Then they closed the door: "This possibility has now been eliminated."

So could it have already happened?

If a bubble had swept through us, we wouldn't be here. But we can also check directly, and every clue says no.

We can measure our own vacuum. The Higgs field's setting (246 GeV), the mass of every known particle, and the gentle positive energy of empty space all match the dip, not the deep valley.

The universe also kept fossils. Helium forged in the first few minutes after the Big Bang, the pattern frozen into the cosmic microwave background 380,000 years later, and quasar light that left its source billions of years ago all obey the same physics we measure today. The quasar light alone pins one of nature's key constants to within a few parts per million. A bubble in between would have wiped out those records and crunched everything.

Physicists have also run the numbers directly. The chance that a bubble should already have formed anywhere in our visible past is about 1 in 10606.

🌌 Here's the twist

Our whole universe might have started as a bubble. In one well-studied version of cosmic inflation, space was once stuck in an even higher-energy false vacuum, and everything we can see is the inside of one bubble that tunnelled out of it. From inside, the birth of a bubble like that looks exactly like a Big Bang. If it kept inflating for a while and then filled with hot matter, everything we observe, the cosmic microwave background included, would come out just as it does. The idea is testable: space should be very slightly curved like a saddle (perhaps too slightly ever to measure), and if it turned out curved the other way, like a ball, the idea would be ruled out. Collisions with neighbouring bubbles could also leave faint round patches on the cosmic microwave background. So far space measures flat to within about half a per cent, and the first search for bubble scars, in 2011, found nothing convincing. The hunt continues.

Which leaves one question about a bubble born today: how far does "never stops" actually go?

Chapter 4

Why only 5%?

Even a wall racing at nearly light speed forever can't reach the whole universe. Space itself is stretching, and the stretching is speeding up.

Picture an ant crawling across a balloon while someone inflates it faster and faster. The ant reaches the nearby parts. The far side keeps pulling away faster than the ant can ever close the gap.

Light has the same problem. Across all of cosmic time, light only ever gets about 62.8 billion light-years of travel (measured in today's distances). Light that set out right after the Big Bang has used up 46.2 of them, which is why the observable universe, everything whose light has had time to reach us, is about 46 billion light-years in every direction. Light we send out today has only about 16.6 billion left.

A light-year is the distance light travels in a year: about 9.5 trillion kilometres.

A bubble wall rides just behind light, so it gets essentially the same budget. Point a torch 🔦 into space and follow the beam:

How far does a beam sent today ever get?

Real travel times from standard cosmology, including the stretching of space, in today's distances. The map zooms out as the beam travels.

time elapsed
distance reached
of the observable universe

Given forever, the beam (and any bubble) stops gaining ground at about 16.6 billion light-years. That sounds like everything. But the observable universe stretches 46 billion light-years in every direction, and a sphere with a radius of 16.6 billion light-years holds only about 4.6% of its volume. Call it 5%. (That assumes dark energy, the push behind the speed-up, never changes. Measurements from 2025 and 2026 hint that it may be slowly weakening. If so, the limit would sit farther out and the 5% would grow. It's a hint, not a discovery.)

The other 95% is out of reach forever. Not because anything stops the wall, but because those galaxies are carried away too fast to catch. We can still see them. We just can never touch them. 🌌

The same rule protects us. A bubble born today in any galaxy more than 16.6 billion light-years away can never reach us, no matter how long it grows. The universe is split into pockets that will never touch.

Chapter 5

Making one on purpose

Nature almost never makes a bubble. What would it take to force one?

Instead of tunnelling through the bump, you'd push over it, like the ball in chapter 1. You'd need to build a critical bubble: one balanced right at the tipping point, so the slightest nudge sends it growing forever. Using the Standard Model's own numbers, this page estimates the recipe:

~7,200 J

of energy, about five burning matches

80 pg

that energy as mass, via E = mc²

3 × 10−26 m

the radius of the spot it must fit in

~10−34 s

the time you get to assemble it

This is a rough estimate: the recipe comes from a published calculation, and this page plugs in today's measurements, including the full shape of the Higgs field's landscape. The true figure could be three or four times higher or lower, mostly because the top quark's mass and the strength of the strong force aren't known precisely enough.

Cheap energy, impossible place

A few matches' worth of energy is easy to find. The problem is where it has to go: into a spot about 3 × 10−26 metres in radius.

How small is that? If a single proton were blown up to the size of the Earth, the bubble would be a grain of sand. Flip it around: if the bubble were a grain of sand, a single hydrogen atom would swallow the Sun and the inner planets, reaching past Mars into the asteroid belt. Zoom in and see for yourself:

Zoom from your height down to the Planck length

Every step of the slider magnifies further. Drag slowly.

And the full stop at the end of this sentence? It's about ten billion trillion times too big.

All at once, in perfect step

The energy also has to arrive within about 10−34 seconds, the time it takes light to cross the bubble. If that instant were stretched to last one second, a real second would last about twenty million billion times the current age of the universe.

And it can't be heat or random smashing. It has to be a few thousand particles of the Higgs field itself, each carrying around a million times the energy of an entire collision at the world's biggest particle collider, all moving in perfect step. Picture a stadium crowd clapping randomly versus the same crowd clapping in perfect unison. Only the unison works.

Packed that tightly, the energy density is about 1080 joules per cubic metre. The core of a neutron star, where a single teaspoon of matter weighs billions of tonnes, is about 1045 times less dense.

🌟 What's a neutron star?

What's left when a giant star collapses: a ball about 20 kilometres across that's heavier than the Sun, crushed so hard its atoms have merged into what is basically one giant atomic nucleus.

Can you cheat a little?

What if you came up just short and let quantum luck cover the rest? Tunnelling can help, but the odds collapse brutally fast. Drag to see what each missing particle costs:

How short can you fall?

Chance that a slightly underpowered attempt still tunnels the rest of the way.

It's all or nothing, almost exactly. Short by just 1% and you might as well have done nothing.

Why smashing things together doesn't work

A particle collider. One collision at the Large Hadron Collider carries about 2 millionths of a joule, roughly the energy of a dozen flying mosquitoes. What makes it special is how tightly that energy is packed. The bubble needs about three billion collisions' worth of energy, in a spot a few million times smaller, as one coordinated object.

A cosmic ray. In 1991, a detector in Utah caught the most energetic particle ever seen, nicknamed the "Oh-My-God particle": a single atomic nucleus from space, perhaps a proton, hitting with the energy of a baseball thrown at 60 mph. But when a fast particle hits a still one, most of the energy stays locked up in motion. Only about 750,000 GeV was usable, roughly sixty million times too little. Particles like it have been colliding all over the universe for billions of years without ever making a bubble. They fall far short of what a bubble needs, but they do show that our colliders, far weaker still, can't start one.

Heat. Heat is random jiggling, the opposite of perfect unison. High temperatures actually make the bump taller.

A black hole. To make a black hole as small as the bubble, you'd need about 20 kilograms of mass-energy crammed into that spot: roughly the weight of a packed suitcase. The bubble needs only 80 picograms' worth. The difference is that a black hole forms from any energy in any arrangement, while the bubble needs one precise arrangement, and nobody knows how to build it. (One 2015 study suggested that tiny evaporating black holes might help seed bubbles; later work disputes it. Luckily, we can't make those either.)

Chapter 6

From a match to the end of the world

Now for what makes this story different from every other doomsday scenario. Let's rank the ways of releasing energy by one honest question: how much of the fuel's own weight turns into energy?

Thanks to E = mc², every gram of anything is packed with energy. Almost every reaction unlocks only a sliver of it. Climb the ladder one rung at a time 👇

Weight turned into energy
1 gram packs the punch of

Did you see the chart zoom out? Everything from a match to antimatter fits on one scale, and each rung is a climb you can picture. The bubble broke the scale so badly that everything below it got squashed flat against the floor.

Chapter 7

A number too big to feel

Antimatter is the most efficient fuel that actually exists. When it meets ordinary matter, both vanish completely into energy. That's the ceiling for anything that burns, splits, fuses or falls.

⚛️ What's antimatter?

Almost every particle has a mirror twin, identical in mass but opposite in charge. When a particle meets its twin, both disappear in a flash of pure energy. It's real: hospitals use it every day in PET scans. But making it is so slow and costly that all of it ever made in labs adds up to a tiny fraction of a gram.

So how much more destructive, gram for gram, is the bubble than antimatter? Measured by what it destroys, about 4 × 1064 times. A 4 with 64 zeros after it.

Your brain can't hold a number like that. So let's build it in layers:

?

  1. Count every grain of sand on every beach on Earth. That's roughly ten billion billion grains: 1019.
  2. Now zoom into one grain and discover it's a whole planet, with beaches of its own. Every grain on Earth is like that. Count all of their sand: 1038 grains.
  3. Do it again. Grains that are planets, whose grains are planets, whose grains are planets. 1057 grains.
  4. Still not there. Multiply that by another forty million. Only now do you reach 4 × 1064, the bubble's edge over antimatter.

Here's another way to feel it. To cause the same destruction by brute force, you'd have to turn every atom within 16.6 billion light-years into pure energy: about 6 × 1068 joules. That's as much energy as about five trillion trillion Suns will give off over their entire lives.

About five matches' worth of energy. Five trillion trillion Suns' worth of damage.

Chapter 8

Everything, ranked

Here's the complete lineup, from a phone battery to the bubble. "1 gram packs" tells you how much TNT one gram of each is worth. "Weight turned into energy" is the honest efficiency. Tap a column to sort it, or filter by type.

Scroll sideways on small screens.
On a log scale

Chemical fuels count only the fuel's own weight, since the oxygen they burn with comes free from the air. Anything over 100% is borrowing from its surroundings: antimatter gets its partner matter for free, and the bubble gets everything within its reach for free. "On a log scale" means every step to the right is ten times more.

Single events, from a dozen mosquitoes' worth to the end of the world

A different lineup: not "per gram", but the total wallop of one whole event. Watch where the little 80-picogram trigger lands.

Scroll sideways on small screens.
Event Energy, in TNT Compared with the trigger On a log scale

Triggers versus what they set loose

Finally, the trigger's view. The bubble trigger holds about as much energy as five matches. Everything that separates them is in what they unlock.

Scroll sideways on small screens.
Trigger Trigger's energy What it sets loose Leverage
A match lighting a large wildfireReal and familiar. about 1,600 J0.4 g of TNT 1017 to 1018 J24 to 240 million tons of TNT 6 × 1013 to 6 × 1014 ×roughly a hundred trillion
The vacuum bubble trigger (80 pg)This story. about 7,200 J1.7 g of TNT ~6 × 1068 J equivalent1.4 × 1059 tons of TNT ~8 × 1064 ×a 65-digit number
A magnetic monopole eating protonsHypothetical. See chapter 9. 106 to 107 Jits own mass-energy keeps growingas long as it has matter to eat no built-in limitcapped only by the matter it meets

Chapter 9

Bonus villain: the magnetic monopole

The bubble isn't the only "tiny thing, cosmic consequences" idea in physics. Meet the last rung of the ladder.

🧲 What's a magnetic monopole?

Every magnet has two ends, a north and a south. Snap a magnet in half and you get two smaller magnets, each with both ends again. You can never get a lone north. A magnetic monopole would be exactly that impossible thing: a single magnetic pole, all by itself, as its own particle.

Theories that try to unite the forces of nature (called grand unified theories) predict monopoles should exist. Each would be absurdly heavy for a single particle: about the weight of a grain of pollen.

Here's the nightmare part. In those same theories, a monopole could act as a catalyst that makes protons fall apart. A proton, a building block of every atomic nucleus, touches the monopole and decays into lighter particles and energy, while the monopole drifts on completely unharmed, ready to do it again. And again. Forever.

That's why its rung on the ladder has no fixed top: unlike any fuel, it never gets used up, so its score keeps climbing for as long as it finds matter to eat. But it can't beat the bubble. It can only eat the matter it actually meets, and the same stretching of space that stops the bubble at 5% fences it in too. Even if it somehow ate every atom the bubble could reach, it would still score hundreds to thousands of times lower, simply because it starts out hundreds to thousands of times heavier than the 80-picogram trigger. 🍽️

Before you worry: it would be slow. A monopole passing through Earth would destroy only a vanishingly tiny fraction of its protons, and eating a whole planet would take far longer than the age of the universe. Its terror isn't speed. It's that it never runs out.

Physicists have hunted for monopoles for decades. In 1982, a single detector signal (famous as the "Valentine's Day monopole") caused a stir, but it was never seen again. None has been confirmed since. One likely reason: the universe's explosive growth spurt right after the Big Bang, called inflation, would have spread any monopoles so thin that there may be none left anywhere near us.

So… should you be scared?

No. Genuinely, no. Here's why you can close this tab and sleep fine tonight. 🌙

Nature basically never does it

Physicists put our vacuum's lifetime at around 10161 years, and the wait for a bubble that could ever reach us is far longer. The universe is only about 1010 years old.

Nobody can build one

The energy is easy. Packing it into a spot thirty billion times smaller than a proton, as thousands of particles in perfect step, within less than a billionth of a trillionth of a trillionth of a second, is far beyond any technology we have or know how to build.

The universe has already run the experiment

Cosmic rays far more powerful than any collider ever built have been smashing into stars, planets and gas clouds for billions of years. No bubble.

We might be safe anyway

This whole story assumes the Standard Model is the complete rulebook. It isn't: it has no dark matter and no gravity, and it doesn't fully explain neutrinos. New physics could easily make our vacuum perfectly stable. In fairness, it could just as easily make it shakier, and nobody knows which. Either way, the fossils from chapter 3 show that no bubble has reached us in 13.8 billion years.

And even in the worst case, the stretching of space that limits any bubble to 5% also means that far-away disasters can never reach us. Distance is the ultimate quarantine.

What makes this story worth telling isn't fear. It's awe. That the universe could hinge on something this small, that the rules allow it at all, is one of the strangest and most beautiful things humans have figured out about reality.

Eighty picograms. A loophole in the fine print of the universe that, as far as anyone can tell, will simply never be used.

Eighty picograms

If the Standard Model is right that our vacuum is only metastable, about 80 picograms of mass-energy (about the mass of a single red blood cell), shaped exactly right, would be enough, by this page's estimate, to tip it into a lower state; the bubble would then sweep through everything within 16.6 billion light-years, about 5% of the observable universe. This page follows the reasoning behind those numbers: how far anything from Earth can ever reach, how a vacuum could decay, what forcing it would take, and where the trigger sits among every other way of turning mass into energy.

This is the ∫ Full version, with the equations. New to the idea? Start with the ✨ Simple version.

Energy released per kilogram, as a percentage of the fuel's full E = mc². Every fuel, reaction, and astrophysical engine fits in the first dozen orders of magnitude. The vacuum bubble, counted as a trigger rather than a fuel, sits about 65 orders beyond. Each axis step is ten orders of magnitude.

Chapter 1The reachable universe

Light from the early universe has been travelling for 13.8 billion years, but space kept stretching behind it the whole way. The matter that emitted the oldest light we can see, the cosmic microwave background, is now about 45 billion light-years away. Light that set out at the very beginning would come from slightly farther: about 46.2 billion light-years. That is the radius of the observable universe.

Now turn the question around. If a signal left Earth today at the speed of light, how far could it ever get? Because dark energy is making the expansion accelerate, the answer is finite even with infinite time, as long as the acceleration continues (see the last point below). The boundary is the cosmic event horizon, currently about 16.6 billion light-years away.

Earth Event horizon, 16.6 Hubble radius 14.5 Observable universe, 46.2 Future visibility limit, 62.8 Visible, but out of reach forever
  • Event horizon, 16.6: the limit of anything we send from now on
  • Hubble radius, 14.5: where recession currently equals light speed
  • Observable universe, 46.2: everything whose light has reached us
  • Future visibility limit, 62.8: everything we could ever see, given infinite time
Drawn to scale, in billions of light-years of today's distance. Anything inside the blue disk can still be reached by a signal sent now. Everything between the blue disk and the observable edge can still be seen, but never touched. Slide to send the signal later: the disk shrinks while the other circles stay as they are today. Our Local Group, held together by gravity, never drops out.

Why 16.6? Light has a fixed lifetime budget

From the Big Bang to the infinite future, light can cover a total of about 62.8 billion light-years of today's distances. A beam that left our location at the Big Bang has already used 46.2 of that. A beam leaving today gets only what is left.

Already used since the Big Bang: 46.2
Left: 16.6
062.8 billion light-years

What follows from it

  • Only about 4.6% of the observable universe's volume (roughly 5%) is still reachable. The other 95% of that volume, and most of the galaxies we can see in it, are already beyond contact.
  • Galaxies between the Hubble radius (14.5) and the event horizon (16.6) are receding faster than light right now, yet a signal can still catch them. Seen from the target galaxy, our photon starts outside that galaxy's own Hubble radius and is at first carried away from it. As the expansion rate falls, the galaxy's Hubble radius grows past the photon, and from then on the photon closes in.
  • Reaching the very edge takes infinitely long; nearer targets take finite time. Andromeda is about 2.5 million years away by light.
  • The event horizon lies at a redshift of about 1.8: we see those galaxies as they were roughly 10 billion years ago.
  • The reachable region keeps shrinking. Eventually only our gravitationally bound Local Group will remain inside it. Anything slower than light reaches strictly less.
  • All of this assumes that dark energy stays constant, as the standard cosmological model (ΛCDM) does. Analyses of 2025 and 2026 from the Dark Energy Spectroscopic Instrument (DESI), combined with the cosmic microwave background, hint, at about three standard deviations, that dark energy may be weakening; that is short of the five-sigma discovery standard. If it weakens but keeps the expansion accelerating, the event horizon lies farther out and more of the universe stays reachable; if dark energy faded away entirely, the expansion would slow for good and there would be no event horizon at all.

Chapter 2A vacuum that may not be the bottom

The vacuum is not nothing. It is the lowest-energy arrangement of the fields that fill space, and one of them, the Higgs field, sits at a nonzero value everywhere. That value gives electrons, quarks, and the W and Z bosons their masses. Whether it is the true minimum depends on how the Higgs self-coupling, written λ, behaves at very high energies.

With the measured Higgs mass (125 GeV) and a top quark mass of 173.1 GeV (the input to the lifetime calculation in Chapter 3), λ drifts downward as the energy scale rises. It crosses zero around 1010 GeV and bottoms out near −0.014 around 1017 GeV. A negative λ means the Higgs potential turns downhill at large field values, so our vacuum would be metastable: a ball resting in a dip on a hillside rather than at the bottom of the valley.

Schematic of how the Higgs self-coupling runs with energy in the Standard Model (shape based on published calculations, not a precision plot). Below zero, the vacuum is metastable. Switch between the 173.1 GeV top quark used for the lifetime in Chapter 3 and today's 172.6 GeV average: the lighter top moves the zero crossing to a few times 1010 GeV and makes the dip shallower.

The verdict sits close to the line between stable and metastable, and it depends sensitively on the top quark mass. Today's world average, about 172.6 GeV, is roughly half a GeV lighter than 173.1 GeV: about one standard deviation by that calculation's ±0.6 GeV uncertainty, and about two by today's measurements, which are roughly twice as precise. That makes the minimum of λ shallower, roughly −0.0105, and the vacuum far longer-lived, though still metastable. New physics at high energies, or gravity itself, could change it entirely. Everything below takes the Standard Model at its word.

Chapter 3How a vacuum decays on its own

In quantum mechanics, a particle trapped behind a barrier can leak through it. Igor Kobzarev, Lev Okun and Mikhail Voloshin first worked out in 1974 how a metastable vacuum decays by forming bubbles; in 1977 Sidney Coleman showed how to calculate the tunnelling of a whole field systematically. What tunnels is not a particle: it is the value of the Higgs field throughout a small region, all at once, jumping through the barrier to produce a bubble of true vacuum.

The calculation rotates time into imaginary time, where tunnelling turns into ordinary motion in an upside-down potential. The solution that starts in the false vacuum, reaches just past the barrier, and comes back is called the bounce. It looks like a four-dimensional ball, and its action B sets the decay rate per unit volume. Coleman and Frank De Luccia added gravity in 1980.

Γ / V ≈ A · e−B,   with   B = 8π² / (3|λ|) ≈ 1910  ⟹  e−1910 ≈ 10−830 The Standard Model bounce (a Fubini-Lipatov instanton), evaluated where λ is most negative, about −0.0138.

Because B depends only on λ at the bubble's own scale, spontaneous decay prefers the scale where λ is most negative: bubbles about 10−33 m in radius, roughly a hundred times the Planck length.

Full calculations appeared in 2017 and 2018, by Chigusa, Moroi and Shoji and by Andreassen, Frost and Schwartz. The second, in its corrected arXiv version of May 2018, puts the lifetime of our vacuum near 10161 years (the journal article prints the earlier 10139), with 95% confidence that it exceeds 1065 years; the uncertainty spans hundreds of orders of magnitude, partly from the measured top quark mass and strong coupling and partly from the theory that links measured masses to the couplings. They used a top quark mass of 173.1 GeV; today's lighter average of about 172.6 GeV makes the minimum of λ shallower (about −0.0105), which raises B to roughly 2,500. A 2025 recalculation with today's inputs (Baratella and colleagues) gives a decay rate of about 10−871 bubbles per gigayear per cubic gigaparsec, which corresponds to a lifetime of roughly 10227 years (this page's conversion). Almost all of that jump comes from the lighter top quark; their improved treatment of the gauge-field fluctuations on its own shortens the lifetime slightly.

"Lifetime" here has a specific meaning: τ = (Γ/V)−1/4, the time over which one bubble is expected in a region cτ across. Only bubbles that form inside our event horizon (Chapter 1) can ever reach us, and that region is incomparably smaller, so the expected wait before a bubble forms anywhere that could reach us is far longer: well over 10600 years (this page's extrapolation from the same rate, not a figure from the paper). Summed over every region of spacetime in our entire past light cone, the same calculation puts the chance that a bubble should already have formed at about 1 in 10606. The universe is 1.4 × 1010 years old.

Chapter 4Anatomy of a bubble

A bubble's energy has two competing parts. Its wall costs energy in proportion to its area. Its interior releases energy in proportion to its volume, because the true vacuum sits lower. In the simplest picture, the thin-wall approximation:

E(R) = 4πR²σ − (4/3)πR³ε σ is the wall's tension (energy per area); ε is the energy-density gap between the two vacua.

Small bubbles lose: surface cost wins and they collapse. Large bubbles win: volume gain takes over and they grow without limit. Drag the radius to see where the line falls.

Energy relative to the surrounding false vacuum, in units of the barrier height. The peak is the critical bubble; the zero crossing at 1.5 times the critical radius is where a tunnelled bubble appears.

The peak sits at the critical radius Rc = 2σ/ε, with height Emax = 16πσ³/(3ε²). A bubble that tunnels into existence skips the climb entirely and appears at R0 = 3σ/ε, exactly where E = 0.

Total energy zero, forever

Tunnelling conserves energy, so a freshly tunnelled bubble has exactly zero total energy: the wall's positive energy cancels the interior's negative energy. As it grows, the released vacuum energy goes into the wall's motion. The wall's energy is 4πr²σγ with Lorentz factor γ = r/R0, which works out to exactly (4/3)πr³ε at every radius. The total stays zero while the wall becomes ferociously energetic.

From rest to light speed almost instantly

The wall follows r² − c²t² = R0², motion at constant proper acceleration c²/R0. For a 10−33 m bubble that is about 1050 m/s², passing 99% of light speed within roughly 2 × 10−41 seconds. The forced bubble of Chapter 5, tens of millions of times larger, starts at rest on the barrier's top and gets there in about 10−33 s. The wall arrives just behind its own light, so nothing could see it coming.

Inside the bubble

Behind the wall the Higgs field is driven towards its true minimum; in the Standard Model it never gets to settle there, but keeps rolling to ever larger values until the interior crunches (below). That minimum lies beyond the instability scale, at 1010 GeV or more. If the Standard Model holds all the way up, λ stays negative through the Planck scale, so the minimum sits at or beyond it, where unknown physics takes over. Every mass the Higgs generates scales with the field value, m = y h/√2 for fermions and mW = g h/2. The couplings themselves drift with energy scale, so the scaling is not exact: the electron and W follow it closely, but the quark Yukawa couplings are two to three times smaller at these scales than at low energy. Using only the robust lower bound h ≥ 1010 GeV (the field must in fact get past the barrier, near 1011 GeV in Landau gauge, so these are conservative):

QuantityOur vacuumInside the bubble
Higgs field valuev = 246 GeV≥ 1010 GeV, a factor ≥ 4 × 107At or beyond the Planck scale, 1018 GeV or more, if the Standard Model holds all the way up
Electron mass0.511 MeVabout 2 × 104 GeV or more
Up and down quark masses2 to 5 MeVabout 3 to 6 × 104 GeV or more10 to 20 million times heavier, not the full 4 × 107, because quark Yukawa couplings shrink at high energy
W boson mass80.4 GeVabout 3 × 109 GeV or more
Fermi constant GF ∝ 1/h²1.17 × 10−5 GeV−2≤ 7 × 10−21 GeV−2Weak interaction at least 1015 times feebler at a given energy
Vacuum energy density≈ +5 × 10−10 J/m³≈ −10107 J/m³ or deeperStandard Model taken at face value (Chapter 9)
Fate of the regionAccelerating expansionBig crunch within about 10−34 s of the wall passing (about 10−40 s for a naturally tunnelled bubble)

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Photons and gluons stay massless, but nothing built from the massive particles survives in recognisable form. The electron is about 4 × 107 times heavier or more, so any atom-like bound state would be that much smaller and more tightly bound. The up and down quarks weigh of order 104 to 105 GeV. That is far above the strong force's natural scale, which is about 0.2 GeV in our vacuum and, by rough estimates, only tens of GeV inside the bubble, where the heavier quarks change how the strong coupling runs. So hadrons become bound states of heavy quarks with an entirely different spectrum, and the neutron-proton mass difference grows to order 104 GeV. Chemistry and nuclear physics as we know them have no counterpart.

Gravity then ends it. The true vacuum's energy density ΔV is large and negative, so the interior carries a negative cosmological constant. Coleman and De Luccia showed that the interior of such a bubble is an open Friedmann universe that recollapses. For pure negative vacuum energy the scale factor is a(t) = L sin(t/L) with L = √3 M̄P/√|ΔV|, so every comoving point reaches a big crunch at

tcrunch = π √3 M̄P / √|ΔV| M̄P ≈ 2.4 × 1018 GeV is the reduced Planck mass; t is measured from when the nucleation light cone, effectively the wall, passes that point.

With the Standard Model at face value, |ΔV| ≳ 10107 J/m³ once the field has rolled to near-Planckian values, and from then on the crunch takes only about 10−40 s. A naturally tunnelled bubble starts there. The forced bubble of Chapter 5 starts near 1011 GeV, and rolling that far takes about 10−34 s, so its interior crunches within about 10−34 s. Even if new physics stabilised the potential just past the instability scale, with |ΔV|1/4 of order 109 to 1010 GeV, the crunch would come within about 10−25 to 10−23 s. Any matter swept inside only speeds the collapse. Nothing lives long enough to form structure, and the false vacuum never re-forms: the transition is irreversible. Coleman and De Luccia noted that one could once hope the new vacuum might in time sustain "some structures capable of knowing joy", then concluded: "This possibility has now been eliminated."

How far it goes

A bubble born here today sweeps essentially the same region a light beam could reach: everything inside the 16.6-billion-light-year event horizon from Chapter 1. The same geometry protects us in return. A bubble born beyond our event horizon today can never reach us.

Chapter 5Forcing it: the critical bubble

To make a bubble on purpose, you go over the barrier instead of through it. The cheapest way over is the critical bubble, a configuration balanced exactly on the barrier's top, like a ball perched on a hill. With slightly less energy, or the wrong shape, it collapses into a burst of Higgs particles that decay almost instantly. With slightly more, in the right direction, it tips into the runaway bubble, and nothing more ever needs to be supplied.

Near the scale where the potential turns negative, the Higgs potential is roughly V = λ(h)h⁴/4 with λ = −β ln(h/hI). Solving the static field equation numerically for the balance point gives (Strumia, 2023, finds the same):

Ec ≈ 10.6 × hI / √β hI is where the potential turns negative; β ≈ 0.0015 to 0.002 is how fast λ falls there.

Here λ(h) has to describe the potential the bubble actually climbs, not just the running coupling of Chapter 2. For today's inputs the running coupling λ(μ) crosses zero at a few times 1010 GeV. But at these field values the top quark, W and Z are heavy, and their one-loop corrections (mostly the top quark's) hold the effective potential up for longer: in the usual (Landau) gauge it turns negative only near hI ≈ 1–2 × 1011 GeV. Exactly where it crosses zero depends on the gauge used in the calculation, by up to two orders of magnitude, so that point is not itself physical (Espinosa and colleagues, 2017). The barrier's height is the same in every gauge and scheme, and matching to it makes the bubble's energy gauge-independent too, at this level of approximation. Buttazzo and colleagues give the height as ΛV = (max V)1/4, a fit in terms of the measured masses; for today's top quark mass, 172.60 ± 0.27 GeV (Particle Data Group, 2026), it is about 1010 GeV. In the model above the barrier's top is βhI4/(16e), so matching the two fixes hI.

With β ≈ 0.0017 this gives about 65 picograms; the 2015 fit of Espinosa and colleagues to the same potential (β ≈ 0.002), scaled to today's inputs, gives about 95. The central figure below, about 80 picograms, sits between them, and it is this page's estimate. Its range, roughly 20 to 300 pg, comes mostly from the measured top quark mass and the strong coupling αs: shifting either by its uncertainty moves the barrier's energy scale ΛV, and the bubble's energy with it, by a factor of about two. The range treats the measured top quark mass as its "pole" mass, as stability calculations do, and includes roughly ±0.3 GeV for that reading; a lighter top raises the barrier faster than the fit assumes, so the upper end is the less certain one. Using the Particle Data Group's pole mass from cross-section measurements instead, 172.1 ± 0.6 GeV, would put the figure near 250 picograms or above. With the 173.1 GeV used for the lifetime in Chapters 2 and 3, the same estimate gives about 25 picograms.

Energy
about 4.5 × 1013 GeV (1.1 × 1013 to 1.7 × 1014), roughly 7 kJ (2 to 27 kJ)
As mass (E/c²)
about 80 picograms (roughly 20 to 300 pg across the uncertainties), about the mass of a single red blood cell
Core radius
about 3 × 10−26 m
Content
a few thousand Higgs quanta: about 6,000 counting each at the bubble's natural energy ħc/R ≈ 7 × 109 GeV, or about 2,500 by Strumia's count from the field's spectrum
Assembly window
about 10−34 s, the time light takes to cross it
Energy density
about 1080 J/m³

The formula is published: Strumia (2023) solved for this critical bubble (his "sphaleron", E ≈ 9.7 htop/√b in his notation, the same result). His illustrative 500 joules takes a round 1010 GeV for the field value at the top of the barrier. Matching the barrier to its published height for today's inputs puts that point near 1.4 × 1011 GeV (Landau gauge), about 14 times higher, and the energy rises with it; his slope, b ≈ 0.15/(4π)2, is close to this page's β/2. The model is flat space, zero temperature and a linear approximation to how the effective λ runs, and the 80-picogram value is this page's evaluation, not a figure from a paper; its range spans a factor of about fifteen, mostly from the top quark mass and αs. Earlier versions of this page gave 17 picograms, from the running coupling's zero; this version uses the effective potential and today's top quark mass.

Two different bubbles

Spontaneous (through the barrier)

Radius
about 10−33 m
Scale
about 1017 GeV
Energy needed
zero
Luck needed
odds of about e−1910 (for a 173.1 GeV top quark; nearer e−2500 with today's 172.6 GeV)

Forced (over the barrier)

Radius
about 3 × 10−26 m
Scale
about 1011 GeV
Energy needed
about 7 kJ
Luck needed
none; the rest is deterministic

Can tunnelling cover part of the cost?

Barely. With less than the full barrier energy, the remaining gap can still be tunnelled through, and the odds improve smoothly as you approach the top. But near the top the barrier is roughly parabolic, and the chance of getting through a shortfall δ is about e−2πδ/ħω, where ħω, the frequency of the configuration's one unstable mode, comes out of the same model at about 2.7 × 1010 GeV, close to four quanta. The trade is still steep: each missing quantum cuts the odds about fivefold, and a 1% shortfall costs a factor of about 1046.

Parabolic-barrier approximation, valid for small shortfalls. At zero injected energy you are back to spontaneous decay through the far smaller bubble of Chapter 3.

Chapter 6Small energy, impossible density

About 7 kJ is roughly the energy of four or five burning matches. So what makes it impossible? Entirely where, and in what form, the energy has to be.

Against a particle collider

One collision at the Large Hadron Collider (13.6 TeV) carries only about 2 microjoules, about a dozen flying mosquitoes' worth (1 TeV is roughly one mosquito's kinetic energy). What makes it special is concentration into about 10−19 m. The bubble needs about three billion LHC collisions' worth of energy, in a region a few million times smaller, as one coherent object.

Against the most energetic particle ever detected

The 1991 "Oh-My-God" cosmic ray carried about 3 × 1011 GeV, around 50 joules, in the lab. But when a fast particle hits a stationary one, momentum conservation locks almost all of that into forward motion of the debris. If it was a proton (its type is not known; a heavier nucleus would leave even less), only about 750 TeV was available in the collision itself. The bubble has to form at rest, so it needs about sixty million times more usable energy.

Collisions could not build it anyway. Turning a few particles into thousands of phase-locked quanta is exponentially suppressed at every energy, much as tunnelling is. Consistent with this, cosmic rays colliding far above LHC energies for billions of years, with no bubble, count as reassuring evidence (Hut and Rees, 1983); a 2023 analysis of the Standard Model Higgs finds that collisions only partly lift this suppression, and argues that below roughly the Planck scale they do not even improve on the odds of spontaneous tunnelling (Strumia, 2023).

Against heat

Heat does not help enough. Thermal energy is incoherent, and at high temperature the Higgs picks up an extra thermal mass that raises the barrier. Thermal fluctuations can in principle carry the field over, but studies of the hot early universe find the rate stays negligible even in extreme conditions.

Against a black hole

A black hole with a radius of 3 × 10−26 m, the size of the bubble's core, needs about 20 kg of mass-energy: 2 × 1018 J, about 400 megatons of TNT and roughly 2.5 × 1014 times the bubble's payload. But a black hole is forgiving. Any energy in any arrangement, compressed within its Schwarzschild radius, collapses. The bubble demands energy in the Higgs field itself, in roughly the right shape. The payload is also far too light for gravity to matter: 80 picograms has a Schwarzschild radius of about 10−40 m, and is a few millionths of the Planck mass.

One twist: some calculations (Burda, Gregory and Moss, 2015) found that tiny evaporating black holes could act as seeds that dramatically boost the vacuum decay rate. Later work disputes that this is fast in the Standard Model (a separate 2023 paper by Strumia), so whether the black hole route could ever nucleate a bubble remains open.

Chapter 7How small is small

Nothing we know of is anywhere near the bubble's size. The electron and quarks have no measured size at all; they are point-like as far down as experiments can probe. Below that there are only theoretical scales. On a logarithmic scale, the forced bubble sits about halfway between a proton and the Planck length, and the spontaneous bubble sits almost at the Planck length.

    Radii or resolution limits, placed on a logarithmic scale. Blue marks the two bubbles from Chapter 5.

    Chapter 8The efficiency scale

    Nothing can release more than 100% of its own mass-energy; E = mc² is a hard ceiling. Any figure above 100% means fuel is being recruited from the surroundings. Antimatter annihilates with ordinary matter it finds, which is where its 200% comes from. Petrol does the same trick on a smaller scale: most of its energy comes from bonding with oxygen in the air, which is never counted as fuel.

    The table assumes ideal, complete reactions. Sort by any column, or filter by type.

    On a log scale

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    Try it with any mass

    Chapter 9Triggers and what they unleash

    The bubble's payload is not fuel. It is a trigger, like a match; it holds about as much energy as four or five of them. A match holds about 1.6 kJ but can set off a forest fire that releases a hundred trillion times more. The bubble's forest is the vacuum itself.

    To compare it with raw energy, ask what it would take to erase all structure within the 16.6-billion-light-year event horizon as thoroughly as a bubble would. That region holds about 4 × 1052 kg of matter, including about 7 × 1051 kg of ordinary matter, a few times 1021 solar masses. There are three levels of destruction:

    1. Unbind every star and galaxyStructures scatter; atoms survive.~1064 J
    2. Break every atomic nucleusAbout 0.2% of ordinary matter's rest energy.~1066 J
    3. Melt everything into quark-gluon plasmaErases even protons; roughly the full rest energy of ordinary matter.~6 × 1068 J

    The bubble goes further than all three, since it changes particle masses themselves, so the last level is a fair minimum. That is about 1.4 × 1059 tons of TNT, the entire lifetime output of about 5 × 1024 Suns. Against the 80-picogram payload (7.2 kJ, about 1.7 grams of TNT), the ratio is about 8 × 1064, an "efficiency" of about 8 × 1066 %. Across the payload estimate's uncertainty range, the ratio runs from roughly 2 × 1064 to 3 × 1065.

    The bubble does carry energy, not just new physics. Its wall's energy grows with the volume it has converted, at the energy-density gap between the vacua, which in the Standard Model is at least around 10107 J/m³. The average matter in the universe is about 10−10 J/m³. The wall's total energy has no well-defined finite value in an expanding universe, and the true vacuum's depth is unknown, which is why the structure-erasing benchmark is the cleaner comparison.

    Energy ladder of single events

    EventEnergyTNT equivalentOn a log scale

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    Leverage: trigger versus what it unleashes

    TriggerTrigger energyEnergy unleashedRatio
    A match lighting a large wildfire1.6 × 103 J1017 to 1018 J6 × 1013 to 6 × 1014
    Magnetic monopole catalysing proton decayHypothetical; requires grand unified theories, in which a monopole would weigh about 20 to 200 nanograms, roughly a pollen grain; the trigger energy is that rest energy, mc². The monopole is not used up, so it keeps converting matter, but only the matter it meets, inside the same event horizon.106 to 107 Jgrows while it runsno built-in caplimited by the matter it reaches: below 1063 even if it converted every atom inside the event horizon
    Vacuum bubble, 80 pg7.2 × 103 J~6 × 1068 J equivalent~8 × 1064

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    A bubble's trigger holds about as much energy as four or five matches. Every difference between them is in what they set loose.

    Chapter 10Should anyone worry?

    No. Even taking the Standard Model at its word, the lifetime of our vacuum in the sense of Chapter 3 is around 10161 years with that chapter's inputs, or about 10227 with today's top quark mass, against a universe 1.4 × 1010 years old. The expected wait for a bubble that could actually reach us is longer still. Nothing in nature, and no technology anyone knows how to build, concentrates energy into a coherent Higgs field configuration a few times 10−26 m in radius. (Strumia's 2023 paper does sketch schemes for futuristic ultra-high-energy colliders, which he himself presents as unrealistic speculation.) Cosmic rays have been colliding at energies far beyond any collider for billions of years, all over the universe, without incident.

    The conclusion itself is uncertain. The Standard Model's Higgs potential keeps sloping downward all the way to the Planck scale, where the theory can no longer be trusted. Where the true minimum lies, and whether gravity or undiscovered physics blocks the decay entirely or instead speeds it up, is unknown: new interactions near the Planck scale could in principle shorten the lifetime, even below the age of the universe, as easily as remove the instability (Branchina and Messina, 2013). Metastability is a live possibility, not an established fact.

    And the geometry of an accelerating universe partitions it into regions permanently isolated from one another. Whatever happens beyond our event horizon today can never reach us.

    Could it already have happened?

    Not anywhere in our past light cone. Walls expand at essentially light speed, so a bubble nucleated anywhere we can see would already have reached us, and its interior would have crunched. The same calculation that gives the 10161-year lifetime puts the probability of a nucleation in our past light cone at about 10−606 (Chapter 3).

    Observation agrees independently. We measure the electroweak vacuum directly: v = 246 GeV, the known particle masses, and a small positive vacuum energy of about 5 × 10−10 J/m³. The laws have also left consistent fossils: the primordial helium and deuterium abundances from nucleosynthesis between about 1 second and 20 minutes (helium mass fraction ≈ 0.245, D/H ≈ 2.5 × 10−5), the acoustic peaks of the cosmic microwave background from recombination at z ≈ 1100, and quasar absorption spectra that pin the fine-structure constant to within a few parts per million over billions of years. A transition in between would have erased all three.

    Our own survival is weaker evidence than it looks, because observers only ever exist where no bubble has arrived. Tegmark and Bostrom (2005) removed this selection bias using the relatively late formation of Earth compared with other habitable planets, and bounded sterilising catastrophes of this kind to fewer than one per billion years at 99.9% confidence.

    Gentler transitions did happen within our history. The electroweak transition at about 10−11 s and the QCD transition at about 10−5 s changed the vacuum everywhere, but for the measured Higgs mass, lattice calculations show both were smooth crossovers in the Standard Model rather than bubble nucleation. Many extensions make the electroweak transition first order; colliding bubbles, and above all the sound waves they would stir up in the hot plasma, would then leave a gravitational-wave background in the band of the planned LISA mission.

    A bubble before the hot Big Bang is also allowed, and is the basis of one well-studied version of inflation. In open inflation, our observable universe is the interior of a single Coleman-De Luccia bubble nucleated in a higher-energy inflating false vacuum. That interior is an open Friedmann universe whose time begins on the nucleation light cone, which from inside is indistinguishable from a Big Bang. With enough slow-roll inflation inside (at least about 60 e-folds) followed by reheating, the standard predictions for the cosmic microwave background are recovered. Two fingerprints remain. Space should have a small negative curvature, Ωk > 0, though it may be too small ever to measure; the sharper test is the opposite sign, since a measured Ωk < −10−4 (positive, closed curvature) would rule this picture out (Kleban and Schillo, 2012). DESI's 2025 baryon acoustic oscillations combined with the cosmic microwave background give Ωk = 0.0023 ± 0.0011, a lean of about two standard deviations towards open, negatively curved space, the sign open inflation predicts, which DESI does not count as a significant departure from flat space. Collisions with neighbouring bubbles would leave azimuthally symmetric, disk-shaped features in the microwave background. The first search, in WMAP 7-year data, found no significant evidence and limited the expected number of detectable collisions on the full sky to fewer than 1.6 at 68% confidence (Feeney et al., 2011).

    Chapter 11Glossary and sources

    False vacuum and true vacuum
    A false vacuum is a stable-looking state that is not the lowest possible energy; the true vacuum is the lowest. A metastable universe sits in a false vacuum.
    Higgs field
    The field whose nonzero value throughout space gives mass to the electron, the quarks, and the W and Z bosons.
    Self-coupling λ
    The number controlling the shape of the Higgs potential at large field values. Its value changes with energy scale ("runs"); if it turns negative, the potential tips downhill.
    Instability scale
    The energy where λ crosses zero: around 1010 GeV, or a few times 1010 GeV for today's top quark mass. The effective potential itself turns negative higher, near 1–2 × 1011 GeV for today's top quark mass in the usual (Landau) gauge; that field value depends on the gauge, but the barrier's height does not.
    Bounce
    The imaginary-time solution that describes the most probable way for a field to tunnel; its action sets the decay rate.
    Big crunch
    The recollapse of a region whose vacuum energy is negative. Inside a Standard Model bubble it follows the wall within about 10−34 s (about 10−40 s for a naturally tunnelled bubble).
    Open inflation
    The picture in which our observable universe is the interior of one bubble nucleated in an inflating false vacuum; from inside, the bubble's birth looks like a Big Bang.
    Critical bubble
    The bubble balanced on top of the energy barrier: the least energy a bubble must have to grow on its own.
    Thin-wall approximation
    Treating the bubble as a uniform interior separated from the outside by a sharp wall. Useful for intuition; the Standard Model case is not thin-walled.
    Hubble radius
    The distance where galaxies currently recede at exactly light speed, about 14.5 billion light-years.
    Event horizon (cosmic)
    The boundary of everything a signal sent now can ever reach, about 16.6 billion light-years.
    Particle horizon
    The edge of the observable universe, about 46.2 billion light-years.
    Comoving distance
    Distance measured on a grid that stretches with the universe, quoted here in today's light-years.
    Electronvolt (eV, GeV, TeV)
    Particle physics energy unit. 1 GeV = 1.6 × 10−10 J; the bubble's 4.5 × 1013 GeV is about 7 kJ.
    Centre-of-mass energy
    The energy actually available to create something in a collision, after accounting for overall motion.
    TNT equivalent
    Energy expressed as tons of TNT; 1 ton = 4.184 × 109 J by definition.

    Sources

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