From First Principles — a science podcast also known as the FFP Pod

Watch What Claude Actually Did to the Riemann Hypothesis
LATESTEP 53/

What Claude Actually Did to the Riemann Hypothesis

Claude takes a real run at the Riemann Hypothesis, forcing us to ask what agentic AI can now do in mathematics, before we open the summer transfer window for America’s scientists.

From First Principles

Breaking down science news so it makes sense to curious people everywhere.

A weekly video podcast. Watch, listen, or both.

As Seen On

The Dave Chang Show

Netflix · March 12, 2026

Dave Chang introduces From First Principles to his audience — in his own words.

Clip from The Dave Chang Show, Netflix. Used with reference to our guest appearance.

Cover of Nature, July 30, 2026 — Quantum Silicon

On the Cover of Nature

Quantum Silicon

Nature · July 30, 2026

Co-host Krishna Choudhary is one of the authors of this week’s Nature cover story. The HRL quantum team he was part of built a new way to control silicon quantum computers — a major step toward machines big enough to be genuinely useful.

Cover of Nature, Vol 655, No 8175, © Springer Nature. Shown in reference to our co-host’s authorship.

Featured Coverage

Nobel Prize Deep Dives

Watch all

Our breakdown of every 2025 Nobel Prize.

Physics

2025 Nobel Prize in Physics

Macroscopic quantum tunneling and energy quantization — the experiments that proved quantum mechanics works at a scale you can hold in your hand.

Recent Episodes

All episodes
The Amazon’s Hidden Civilization (One Year Anniversary)
EP 52

The Amazon’s Hidden Civilization (One Year Anniversary)

For FFP’s first anniversary, we uncover the densely populated precolonial Amazon, imagine what our civilization will leave behind, and build the first shelves of the From First Principles library.

The Tech Elon Has Been Waiting For
EP 51

The Tech Elon Has Been Waiting For

A graphene-based memory device works at 1,300°F, opening new possibilities for extreme-environment electronics, in-memory AI, planetary exploration, and data centers in space.

AI Breaks a 90-Year Math Problem, Life’s Alphabet in Space, and Science Funding
EP 50

AI Breaks a 90-Year Math Problem, Life’s Alphabet in Space, and Science Funding

Asteroid samples reveal life’s molecular alphabet, Washington battles over who controls science funding, and AI produces a counterexample to a 90-year-old mathematics conjecture.

FIFA Data Scientists Explain Match Momentum
EP 49

FIFA Data Scientists Explain Match Momentum

FIFA data scientists Juan Busso and Arron Ackerman explain how player tracking, pitch control, space creation, and threat are transformed into the World Cup’s Match Momentum visualization.

Black Hole Movies, Digital Heart Twins, and World Cup Tech
EP 48

Black Hole Movies, Digital Heart Twins, and World Cup Tech

From an Earth-sized telescope imaging a changing black hole to digital heart surgery and World Cup sensor controversies, this rundown explores the science behind some of today’s most fascinating stories.

America 250: The Breakthroughs That Built American Science — Part 2
EP 47

America 250: The Breakthroughs That Built American Science — Part 2

Part two of our America 250 special traces American science from Sputnik to the AI age, covering Apollo, ARPANET, CRISPR, LIGO, mRNA vaccines, JWST, transformers, and the future of science funding.

Science Funding Explorer

Where $197 Billion of Federal Science Money Goes

Seventy years of US research funding in one interactive resource: five story chapters, a data explorer, profiles of every major federal agency, and a tracker for the current budget cycle.

DOD
HHS
DOE
DOD 49%HHS 25%DOE 11%NASA 6%NSF 4%8 more agencies 7%

Federal R&D by agency, fiscal year 2025 · AAAS Historical R&D Data

FY 2026 is enacted — track the current cycle

Get the breakdown, weekly.

Featured Research

All research

Odd shapes hidden in dense Amazon rainforest reveal sprawling ancient civilization

Imagine you're flying over the Amazon rainforest and the trees are so thick you can't see the ground. Now imagine using a laser scanner from an airplane that can 'see through' all those leaves and branches — like X-ray vision for forests. When scientists did this, they found the outlines of huge ancient cities hidden underneath: roads, plazas, earthworks, and buildings that had been swallowed up by jungle for hundreds or thousands of years. It's like finding out there was a giant, bustling city underneath your backyard the whole time. These weren't small villages — we're talking about potentially millions of people living in organized, complex societies in a place we thought was mostly empty wilderness.

Science News

M87's black hole flipped its magnetic field

Imagine a bar magnet with a north and south pole. Now imagine that magnet suddenly flipping so north becomes south and vice versa. That's essentially what happened with the magnetic field around the giant black hole at the center of galaxy M87 — except this black hole is 6.5 billion times heavier than our Sun. Scientists noticed this flip by watching the powerful beam of energy, called a jet, that shoots out from the black hole. The direction and behavior of that beam changed in a way that revealed the magnetic field had reversed. It's a big deal because those magnetic fields are thought to act like the engine that powers and steers these cosmic jets, and we've rarely caught one flipping in action.

Nature·

Over 20,000 precolonial earthworks in the Southwest Amazonia

Imagine flying a special laser scanner over the Amazon jungle that can 'see through' the treetops, like X-ray vision for the ground. When scientists did this, they found over 20,000 geometric shapes — ditches, mounds, and enclosures — built by ancient people long before Europeans arrived. These aren't small things: they're massive earthen structures, like monuments. This means the Amazon rainforest, which most people picture as empty wilderness, was actually home to millions of people who built cities and shaped the landscape. Think of it like discovering that a forest you thought was wild was actually someone's ancient garden on a continental scale.

Scientific American·

The 2026 World Cup's grass is an engineering problem

Imagine you're trying to play soccer in 16 different places across the United States, Canada, and Mexico — some in freezing cold, some blazing hot, some in stadiums with roofs that block sunlight. Half of those stadiums normally use fake grass. Now FIFA, the organization that runs the World Cup, wants every single pitch to feel and play exactly the same way, like a video game where every level has identical physics. To do that, they hired grass scientists — yes, that's a real job — who figured out how to grow special grass on thin mats with plastic underneath so it can be transported like a carpet, stitched with synthetic fibers so it doesn't rip when players sprint and tackle, and tested by literally shooting balls at it with a cannon to make sure it bounces right. Different grass species are used depending on whether a stadium is hot, cool, or dark. It's basically a giant, living, high-tech floor installation that has to survive the world's best athletes running on it.

Nature Genetics·

Non-Mendelian inheritance of DNA methylation patterns in mice

Imagine your DNA is like a huge book of instructions. Mendel's laws are the normal rules for how chapters of that book get passed from parents to children. But there's also a layer of sticky notes on top of the book—called epigenetic marks—that tell cells which chapters to read and which to ignore. This study found that most of the time (about 93%), these sticky notes follow the normal inheritance rules. But about 7% of the time, they do something unexpected: new patterns appear that neither parent had, or a mark from one parent somehow silences the same mark from the other parent (called paramutation), or males and females end up with completely different sticky notes even when they inherit the same DNA. Scientists discovered this by using a new ultra-precise DNA reading technology in mice, and it opens the door to understanding hidden layers of how traits—and possibly diseases—are passed down through generations.

Monthly Notices of the Royal Astronomical Society·

Remarks on the disproof of the unit distance conjecture

Imagine you scatter a bunch of dots on a piece of paper. The question is: how many pairs of those dots can be exactly 1 inch apart? The Erdős unit distance conjecture asked whether there's a specific mathematical formula that limits how often this can happen as you add more and more dots. Think of it like asking how many friendships can exist in a town where friends are defined as people who live exactly one mile apart — there's a suspected maximum, and Erdős guessed what that maximum should be. For decades, no one could prove or disprove his guess. Now, an AI apparently found a specific arrangement of dots (a 'counterexample') that breaks the expected limit, proving Erdős's conjecture was wrong. A team of elite mathematicians then checked and explained the AI's work in this paper.