How Do We Know What We Know?
January 20, 2026
If you can’t scan: open the link and enter the course code ASES.
When you look up at the night sky,
what do you see?
What do you assume you’re seeing?
The Cosmic Treasure Chest
When you look up, you see stars, planets, maybe a galaxy or two…
But most of those points of light? Galaxies.
Each one containing hundreds of billions of stars.
You just saw millions of galaxies — and that’s only a tiny fraction of what one telescope will find.
We’ve never been to another galaxy.
We’ve never touched a star.
We can’t send a probe to most of what we study.
So how do astronomers know anything about objects trillions of kilometers away?
(Later today: why astronomers switch to light-years (and parsecs) for cosmic distances.)
By the end of today, you’ll be able to…
Pretty pictures → measurements →
models → inferences
What this means:
Astronomy is the art of inferring physical reality from constrained measurements.
Constraint: We can only study the light that reaches us.
Everything we claim to know is inferred from light.
Think: Which question are you most curious about?
From billions of kilometers away, we can directly measure only four things.
Direct observables (what we measure):
Which of these can astronomers directly measure for a distant star?
For each image, don’t memorize details — identify the pattern.
What do we measure?
(Which of the 4 observables?)
What do we infer?
(What physical claim do we make?)
Same pattern every time:
Observable → Model → Physical Reality
We measure: Colors at specific wavelengths
We infer: Chemical composition and dust structure
The physics: Each element emits/absorbs at unique wavelengths — a “spectral fingerprint”
Red = hydrogen (656 nm) Blue-green = oxygen (500 nm) Dark lanes = dust blocking light
Why do nebulae glow at specific colors instead of a continuous rainbow?
We measure: Brightness at each wavelength (a spectrum)
We infer: Temperature, composition, and motion
The physics: Atoms have quantized energy levels — electrons can only jump between specific rungs
Why it’s the master key:
A single brightness measurement = 1 data point. A spectrum = thousands of data points.
We measure: How bright an object appears (flux)
We infer: How far away it is
The physics: Light spreads out as it travels
— if you know the true brightness, you can calculate distance
A dim nearby source can look identical to a bright distant one
— physics breaks the tie.
The key idea: If you know how bright something actually is (luminosity), and you measure how bright it appears (flux), you can calculate distance.
Standard candles: Objects whose true brightness we can predict from physics.
We measure: The same galaxy at different wavelengths
We infer: Different physical components are visible at different wavelengths
The physics: Different emission processes dominate at different wavelengths
Left (optical): Stars and dust lanes
Right (radio): Cold hydrogen gas
We measure: Optical vs infrared light from the same region
We infer: Newborn stars can hide inside dusty clouds
The physics: Dust blocks/scatters short wavelengths more than long wavelengths
Left (Hubble): Dark, opaque pillars
Right (JWST): Thousands of hidden newborn stars revealed
We measure: how galaxies and stars move (from spectra over time)
We infer: extra unseen mass (“dark matter”)
The physics: gravity links motion to mass; if objects move too fast, there must be more mass than we can see
We measure: spectra (wavelength shifts) → redshifts → distances → 3D positions
We infer: the cosmic web (filaments + voids) and expansion-history constraints
The physics: gravity + cosmic expansion shape large-scale structure; mapping it tests cosmological models
Dark Matter + Dark Energy
We measure: how the expansion rate changes with time (distance + redshift)
We infer: the expansion is accelerating → “dark energy”
The physics: gravity + cosmic expansion link energy content to expansion.
Acceleration implies a component that acts like “repulsive gravity”
Big question: How does dark energy evolve?
Every spoiler followed the same structure:
Observable → Model → Physical Reality
Which observable appeared most often?
(Hint: it starts with “W”)
| Object | You see it as it was… |
|---|---|
| The Moon | 1.3 seconds ago |
| The Sun | 8 minutes ago |
| Andromeda Galaxy | 2.5 million years ago |
| Distant galaxies | Billions of years ago |
Looking far away means looking into the past.
A light-year is a unit of distance, not time.
Definition: The distance light travels in one year.
When we say a galaxy is “100 million light-years away,” we mean its light traveled for 100 million years to reach us.
You observe a galaxy 100 million light-years away.
When did the light you’re seeing leave that galaxy?
The key relationship:
For thermal light: shorter wavelength = higher photon energy = hotter source
This is why different telescopes see different physics — not just “better pictures.”
After today, you should recognize these ideas when they return:
You are not expected to remember details yet.
Today was a trailer — a preview of coming attractions.
When these ideas return, you’ll recognize them. That’s the goal.
Write down YOUR question. We’ll return to it.
Thursday: The Math We Need
The math is not the obstacle — it’s the microscope.

ASTR 101 • Lecture 1 • Dr. Anna Rosen