Cosmic Field Notes
Cosmology · Quantum · CERN

Cosmic Field Notes

The newest ideas in physics, explained the way you'd explain them to a curious kid. Switch on the maths whenever you want to see what's under the bonnet.

The cosmos, one idea at a time

Nine ideas that unlock almost every space headline. Each one has a toy to play with.

Start here · a 2 minute film

Photony's story: how the cosmos works

Meet Photony, a tiny bit of light that has been flying for more than 13 billion years. Photony explains the Big Bang, the growing universe, the marble jar, stretched light and dark energy, with pictures timed to every word.

Narrated, with word by word captions. Open the video on its own
Idea 1 · Light

Looking far away means looking back in time

Light takes time to travel. So when you look at something far away, you see it as it was, not as it is.

time ago = distance ÷ speed of light

Speed of light c ≈ 299,792 km every second. A light year is how far light goes in a year, about 9.46 trillion km.

Idea 2 · Expansion

Space itself is stretching

Galaxies aren't flying through space. The space between them is growing, so everything moves apart.

v = H₀ × d

Speed away (km/s) = Hubble constant × distance (megaparsecs). One megaparsec (Mpc) ≈ 3.26 million light years. H₀ is "how fast space stretches today".

Idea 3 · Redshift

Stretched light turns redder

As light crosses stretching space, its waves get stretched too. Longer waves look redder. Stretch them enough and they become invisible infrared.

λ seen = λ sent × (1 + z)

z is the redshift. When the light set off, the universe was 1 ÷ (1 + z) of its size today.

Idea 4 · The big argument

The Hubble tension

Measure how fast space stretches using the baby universe and you get about 67. Measure it using nearby stars and you get about 73. They should match. They don't.

Watch: the Hubble tension on a whiteboard (72 seconds, narrated, with captions).
Hubble time ≈ 977.8 ÷ H₀ billion years

A rough "age if expansion never changed". Units of H₀: km/s per Mpc. The real age (13.8 billion years) also depends on how expansion changed over time.

In the news: April 2026, 73.50 ± 0.81 from many independent methods, so it's not one bad ruler.

What are the four rows in the chart?

Four teams each measured the same number, H₀: how fast space is stretching today. You would expect them to agree. They don't.

  • Planck (baby universe): 67.4. A space telescope mapped the leftover glow from when the universe was a baby. Scientists then work forward to predict today's stretching speed.
  • SH0ES (stars and supernovae): 73.04. This team measures the nearby universe directly, using pulsing stars and exploding stars as distance markers, like mile posts along a road.
  • H0DN 2026 (many methods): 73.5. A 2026 network of many separate distance rulers checked against each other. It lands at 73 too, so it is not one faulty ruler.
  • Dark sirens 2026 (gravitational waves): 78.2. A new method that "hears" black holes crashing together as ripples in space. Its bar is very wide because only a few such events have been caught, so it cannot settle the question yet.

How to read it: the dot is each team's answer, the glowing bar is how unsure they are (short = very sure). The baby universe says about 67, the nearby universe says about 73. The bars don't overlap: either a measurement is off, or our picture of how the universe grew is missing something.

Idea 4b · The distance ladder

What "many methods" means: rulers for space

To measure how fast space stretches, you need two numbers for lots of galaxies: how fast each one is moving away (easy, from how red its light is) and how far away it is (hard). Each "method" is a different ruler for distance.

Rung 3 · very far
Type Ia supernovaeExploding stars that all peak at nearly the same brightness, visible across billions of light years.
Surface brightness fluctuationsHow "grainy" a galaxy looks. Closer galaxies look more speckled, like a crowd photo taken up close.
Rung 2 · stars with a known brightness
CepheidsStars that pulse. The slower the pulse, the brighter the star, like a lighthouse whose blink speed tells you its wattage.
Red giants at their peak (TRGB)Old red giant stars all top out at the same brightness, like identical light bulbs.
Rung 1 · pure geometry, no guessing
ParallaxHold up your thumb and blink one eye, then the other: it jumps. Nearby stars "jump" the same way as Earth goes round the Sun. The Gaia satellite measures this.
Eclipsing binariesTwo stars orbiting and blocking each other's light. The timing gives their true size, and so their distance (in a nearby galaxy, the Large Magellanic Cloud).
A space "laser" (megamaser)Water gas circling a black hole in the galaxy NGC 4258 glows like a natural laser. Mapping its orbit gives the distance by geometry.

The H0DN team (April 2026) wired these rulers into one network that checks them against each other: 73.50 ± 0.81. They also swapped in extra rulers as cross checks (other kinds of stars, other exploding stars, how fast galaxies spin) and the answer stayed around 73. So the gap from the baby universe's 67 is probably not a measuring mistake.

Source: The Local Distance Network, H0DN Collaboration

Idea 5 · Dark energy

The mystery push

Since 1998 we've known the stretching is speeding up. We call whatever causes it "dark energy". The big question: is it a constant push, or does it change?

density ∝ a−3(1+w)

a is the size of the universe (1 = today). Matter thins as a−3, light as a−4. Dark energy with w = −1 never thins: that's Einstein's cosmological constant. DESI's 2025 hint is that w isn't exactly −1.

Idea 6 · Omega Lambda

ΩΛ: the universe's budget, and why expansion speeds up

Ω (Omega) means "what share of the universe is this ingredient?". ΩΛ (Omega Lambda) is dark energy's share. It is about 0.69, so roughly 69% of everything.

Ω and Λ, decoded (in this cosmology page only)

Ω, Omega = "share of the budget". Scientists work out how much stuff the universe would need for space to be perfectly flat. They call that the critical amount (about 5 hydrogen atoms in every cubic metre). Each Ω says what fraction of that amount one ingredient supplies. Ω = 0.3 means "30% of the budget".

Λ, Lambda = "dark energy". Einstein added Λ to his equations in 1917 as a steady push built into empty space. Today it is the name for dark energy. Its key trick: every cubic metre of space holds the same amount, so when space grows, there is simply more of it.

The little labels just say which ingredient:

ΩΛ ≈ 0.685dark energy's share
Ωm ≈ 0.315matter's share (dark matter plus atoms)
Ωr ≈ 0.0001light's share today, tiny
Ωk ≈ 0curvature: zero means flat
H₀ ≈ 67.4how fast space stretches today (km per second, per megaparsec)
asize of the universe compared with now (1 = today)

Read it out loud: "ΩΛ = 0.685" just means "dark energy is about 68.5% of the universe's budget". And ΩΛ + Ωm + Ωr ≈ 1 means "the slices fill the whole pie, so space is flat".

Values from the Planck satellite (2018). Elsewhere in science a small λ means a wave's length, but on this page Λ always means dark energy.

Watch: Omega Lambda in 60 seconds (narrated, with captions). Open the video on its own

The thin end slice is everything made of atoms: stars, planets, you. Just 4.9%. Values from the Planck satellite.

LightDouble the size of the universe and it gets 16× thinner
MatterDouble the size and it gets 8× thinner
Dark energyDouble the size and it stays exactly the same
H² = H₀² × ( Ωr ÷ a⁴ + Ωm ÷ a³ + ΩΛ )

H is how fast space is stretching at any moment, H₀ is that speed today, and a is the size of the universe compared with now (a = 1 today, a = 0.5 when it was half the size).

Each term is one ingredient. Light (Ωr) is divided by a⁴, matter (Ωm) by a³, but ΩΛ is divided by nothing. That's why it ends up in charge.

critical density = 3H₀² ÷ 8πG ≈ 5 hydrogen atoms per m³

Every Ω is "this ingredient ÷ the critical density". G is Newton's gravity constant.

speeding up when Ωm ÷ a³ < 2 × ΩΛ

With Ωm = 0.315 and ΩΛ = 0.685 that happens at a ≈ 0.61, about 6.1 billion years ago. Today's "deceleration parameter" q₀ = Ωm ÷ 2 − ΩΛ ≈ −0.53. Negative means speeding up.

In the news: DESI's hint is that ΩΛ's ingredient might not be perfectly constant. See Idea 5's dial.

Idea 7 · Time

Gravity slows time down (really)

Clocks closer to heavy things tick slower. It's tiny on Earth, but real, and your phone's GPS has to correct for it every day.

GPS: +45.7 µs/day (weaker gravity) − 7.2 µs/day (speed) ≈ +38.5 µs/day

µs = millionths of a second. Light goes about 300 metres in one µs, so an uncorrected 38.5 µs a day becomes kilometres of position error.

Idea 8 · Statistics

Is it weird, or is it luck? (spinning galaxies)

If galaxies spin randomly, it's like flipping a coin for each one. The study saw about 2 out of 3 spinning one way. Is that too lopsided to be luck?

expected = 263 × ½ ≈ 131.5 spread = √(263 × ½ × ½) ≈ 8.1

Two thirds is about 175, which is about 5 spreads away from 131.5. Pure luck almost never does that, so either something real is going on or the counting is biased (Shamir's own suggestion: our Milky Way's motion makes some galaxies look brighter).

Idea 9 · Too big, too soon

Why "grown up" baby galaxies matter

Our model says early galaxies should be small and messy. Webb keeps finding some that are big and tidy (Big Wheel, the cluster XLSSC 122). One or two could be lucky. Lots would mean our model needs fixing.

Has Webb debunked the Big Bang?

No. That is a popular headline, but not what the science says.

  • Some galaxies look bigger and more grown up, earlier than expected. That challenges our ideas about how fast galaxies form, not whether there was a Big Bang. A very tall toddler changes the growth chart, not the fact that babies are born.
  • Many early "impossible" galaxies were later scaled down: some were dusty, some had a bright black hole in the middle making them look heavier than they are.
  • The main evidence for the Big Bang is untouched by Webb: the leftover heat glow from the early universe, galaxies moving apart, and the exact mix of hydrogen and helium in the oldest stars.
  • A few scientists have proposed alternatives (one 2023 paper suggested a universe 26.7 billion years old). These are minority ideas that don't fit the other evidence well.

In short: the Big Bang stands, but the story of the first galaxies is being rewritten.

A picture of the idea, not real measurements: the line is what our model expects, the glowing dots are the "too big, too soon" surprises.