Reliable Tests of Faint-end UV Luminosity Functions in Strong Lensing Fields

This thesis utilizes strong gravitational lensing in the MACS J0416 field, combined with deep HST/JWST observations and machine learning to mitigate low-redshift interlopers, to test ultralight boson dark matter models and find no evidence for a faint-end turnover, thereby constraining the particle mass to be greater than $2.97\times10^{-22}$eV at 95% confidence.

Jiashuo Zhang

Published Wed, 11 Ma
📖 6 min read🧠 Deep dive

Here is an explanation of Jiashuo Zhang's PhD thesis, translated into everyday language with creative analogies.

The Big Mystery: What is Dark Matter?

Imagine the universe is a giant, invisible ocean. We can see the islands (stars and galaxies) floating on it, but we can't see the water itself. We know the water is there because the islands move in ways that suggest a massive, invisible weight is holding them together. This invisible water is Dark Matter.

For decades, scientists thought this water was made of heavy, slow-moving particles (like invisible bowling balls). This is called the Standard Model (pCDM).

However, a new theory suggests the water might actually be made of ultralight waves (like ripples on a pond). This is called Wave Dark Matter (ψDM). If this is true, these waves would be too "fuzzy" to clump together into tiny, small islands. This means there should be very few tiny, faint galaxies in the universe.

The Goal: The thesis aims to prove which theory is right by counting the tiniest, faintest galaxies. If we find few of them, the "Wave" theory wins. If we find many, the "Heavy Particle" theory wins.


The Problem: The "Cosmic Imposter"

To find these tiny galaxies, the author used massive galaxy clusters as natural magnifying glasses. These clusters bend light, making distant, faint galaxies look brighter and easier to see.

But here's the catch:
Imagine you are trying to count tiny, distant fireflies in a dark forest using a magnifying glass. Suddenly, you see a bright, red beetle flying right next to you. Because of the magnifying glass, the beetle looks huge and bright. But if you aren't careful, you might mistake the beetle for a giant firefly from deep in the forest.

In astronomy, these "beetles" are low-redshift (low-z) galaxies. They are actually nearby, but they look very similar to the distant, high-redshift galaxies we are trying to study.

  • The Mistake: Previous studies counted these nearby "beetles" as if they were distant "fireflies."
  • The Result: They thought there were more faint galaxies than there actually were. This "noise" washed out the signal. It made it look like the "Wave Dark Matter" theory was wrong, or it created fake patterns that didn't exist.

The Thesis's First Big Discovery:
The author found that in previous catalogs, about 50% of the galaxies thought to be distant were actually imposters (nearby galaxies). It was like trying to count stars in the night sky, but half the "stars" you counted were actually streetlights from a nearby town.


The Solution: The "Super-Scanner" and the "AI Detective"

To fix this, the author used two powerful tools to separate the real fireflies from the beetles.

1. The Super-Scanner (JWST + HST)

The author combined data from the Hubble Space Telescope (which sees visible light) and the James Webb Space Telescope (JWST, which sees infrared light).

  • The Analogy: Imagine trying to identify a person in a crowd. Hubble sees their face, but it's blurry. JWST sees their clothes and skin tone in infrared.
  • How it works: A nearby "beetle" (low-z galaxy) has a specific "signature" in infrared light (like a Balmer break) that a distant "firefly" (high-z galaxy) does not have. By looking at both telescopes at once, the author could instantly spot the imposters and remove them.
  • The Result: They built a "clean" list of galaxies for one specific cluster (M0416) where they knew exactly which ones were real.

2. The AI Detective (Machine Learning)

The author couldn't use JWST on every galaxy cluster because it takes too much time. So, they trained an AI on the clean list from M0416.

  • The Analogy: The AI is like a detective who studied the "beetles" and "fireflies" in the one clean city. Now, the detective can look at photos from other cities (other clusters) and say, "I've seen this pattern before; that's a beetle," even without the super-magnifying glass.
  • The Result: The AI successfully identified and removed the imposters in the other five clusters, creating a clean dataset without needing extra JWST time.

The Final Verdict: No "Turnover" Found

With the "beetles" removed, the author finally counted the real "fireflies" (faint galaxies) to test the Dark Matter theories.

  • The Prediction: If Dark Matter is made of waves (ψDM), the number of faint galaxies should drop off sharply (a "turnover") because the waves can't form tiny islands.
  • The Observation: The author counted the galaxies and found no sharp drop-off. The number of faint galaxies kept increasing steadily, just like the "Heavy Particle" theory predicted.

The Conclusion:
The data does not support the idea that Dark Matter is made of ultralight waves with a mass smaller than a specific limit. The author set a new, stricter limit: Dark Matter particles must be heavier than 2.97 × 10⁻²² eV.

If Dark Matter is made of waves, they must be "heavier" (less fuzzy) than previously thought, allowing them to form those tiny galaxies.


The Twist: The "Multi-Flavor" Universe

In the final chapter, the author adds a fascinating twist. What if Dark Matter isn't just one type of wave, but a mixture of different types (like a smoothie with different fruits)?

  • The Theory: Maybe there are heavy waves and light waves mixed together.
  • The Insight: The author used math to show that on the big scale (like galaxy clusters), all these different waves act like a single "average" wave. The limit the author found applies to this average weight.
  • Why it matters: This explains why we might see evidence of very light waves in small dwarf galaxies (where the light waves dominate) but see evidence of heavier waves in big clusters (where the heavy waves dominate). It's a way to make both observations fit together.

Summary in One Sentence

The author cleaned up a massive "cosmic case of mistaken identity" using new telescopes and AI, proving that the universe is full of tiny galaxies, which suggests that Dark Matter is likely made of heavier particles (or heavier waves) than the most extreme "fuzzy" theories predicted.