From First Principles

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

In this anniversary episode, Lester Nare and Krishna Choudhary look back at how two longtime friends turned their regular conversations about science into a show now shared by millions of people around the world, and what they hope to build with FFP Nation in Year Two.Then we turn to a new Nature paper challenging the idea that the precolonial Amazon was sparsely populated. Airborne LiDAR revealed hundreds of geometric earthworks hidden beneath the rainforest canopy. Combining the new survey with earlier archaeological evidence, the researchers estimate that the region could contain more than 20,000 earthworks and may have supported 1.25–3 million people around AD 100–300.Lester and Krishna explain how LiDAR sees through dense vegetation, why early European accounts of crowded Amazonian settlements were dismissed, how disease and forest regrowth could erase the visible traces of large societies, and what the findings mean for our understanding of the Amazon’s human and environmental history.The conversation then becomes a thought experiment: if our civilization disappeared, what would future archaeologists—or extraterrestrial visitors—recognize as our pyramids? Apollo landing sites, CERN, LIGO, and the James Webb Space Telescope become candidates for the enduring signatures of a curiosity-driven civilization.Finally, we christen the From First Principles library. Krishna shares the mathematics, physics, biology, history, and philosophy books that shaped how he thinks, including Baby Rudin, Landau–Lifshitz, Fermi, Jackson, Sakurai, Einstein, Schrödinger, Gibbs, Newton’s Principia, Plato, the Upanishads, and Adam Becker’s What Is Real?Help shape Year Two and enter the anniversary merch giveaway: ffpod.com/surveySupport the show: ffppod.com/donateResearch and show notes:Over 20,000 precolonial earthworks in the Southwest AmazoniaNature Research BriefingFFP episode archive and research library

The Tech Elon Has Been Waiting For (EP 51)

What happens when electronics can operate at temperatures hot enough to melt aluminum?In this deep-dive episode, Lester Nare and Krishna Choudhary examine a new high-temperature memory device developed by researchers at USC, the Air Force Research Laboratory, Kumamoto University, and their collaborators.Published in Science, the experimental memristor combines tungsten, hafnium oxide, and graphene. It operated reliably at 700°C—roughly 1,300°F—retained data for more than 50 hours, and survived more than one billion switching cycles.We begin by explaining why conventional electronics and flash memory fail when temperatures rise. From deep-earth drilling and hypersonic aircraft to nuclear systems and the surface of Venus, many environments where intelligent electronics would be useful remain inaccessible to today’s hardware.Krishna then builds the memristor from first principles. We explore the history of the “missing” fourth circuit element, how oxygen vacancies create low- and high-resistance memory states, why conventional platinum electrodes fail under extreme heat, and how graphene prevents tungsten atoms from diffusing through the device.Finally, we examine the implications for artificial intelligence. Memristors can potentially store neural-network weights and perform matrix multiplication in the same physical location, reducing the energy wasted moving information between processors and memory.Could that combination of heat tolerance and energy efficiency make AI data centers in space more practical? Lester and Krishna work through thermal radiation, radiator size, power consumption, radiation resilience, and the considerable engineering challenges that remain.Support the showDonate: FFPod.com/donateFollow: @FFPod on X / Instagram / TikTok / FacebookResearch and Show NotesHigh-temperature memristors enabled by interfacial engineeringUSC: A memory device that operates at 700°CThe development of carbon-neutral data centres in spaceNASA Venus facts

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

Hosted by Lester Nare and Krishna Choudhary, this episode moves from astrobiology to science policy to the rapidly changing frontier of artificial intelligence and mathematics.First, researchers analyzing pristine samples returned from asteroid Ryugu report all five canonical nucleobases used by DNA and RNA. We explain what that does—and does not—mean for the origin of life, how JAXA’s Hayabusa2 mission collected uncontaminated asteroid material, and why comparisons with NASA’s Bennu samples strengthen the case that prebiotic chemistry may be widespread across the Solar System.Next, we examine the fight over who controls federal research funding. A proposed overhaul of the rules governing federal grants would give political appointees greater influence over awards, reduce the controlling role of expert peer review, and expand the government’s power to stop grants that no longer align with an administration’s priorities. We break down the roles of Congress, OMB, federal agencies, universities, and the courts—and why this dispute could reshape the American research ecosystem.Finally, we go deep on an AI-assisted counterexample to the Jacobian conjecture, a major open problem in mathematics. Krishna explains coordinate transformations, Jacobian determinants, invertibility, special relativity, and why this result appears fundamentally different from simple brute force. We close with the growing debate over AI-generated mathematics, human verification, open science, attribution, and the future role of mathematicians.SummaryAll five canonical nucleobases found in pristine asteroid Ryugu samplesHayabusa2, Bennu, and the possibility of widespread prebiotic chemistryThe fight over political control of federal research grantsCongress, OMB, peer review, and the American science-funding systemThe Jacobian conjecture and an AI-assisted counterexampleSpecial relativity, coordinate transformations, and invertibilityAI-generated mathematics, open science, attribution, and verificationSupport the showDonate: FFPod.com/donateFollow: @FFPod on X / Instagram / TikTok / FacebookShow NotesA complete set of canonical nucleobases in asteroid RyuguOMB proposed federal-grant ruleAssociation of American Universities responseLevent Alpöge’s Jacobian counterexample announcementLeiden Declaration on Artificial Intelligence and MathematicsHuman-verified remarks on the OpenAI-generated Erdős result

FIFA Data Scientists Explain Match Momentum (EP 49)

In this special interview episode, Lester Nare speaks with Juan Busso, Senior Football Data Scientist at FIFA, and Arron Ackerman, FIFA’s Team Lead for Football Performance Analysis, about the data science behind the Match Momentum visualization featured throughout the 2026 World Cup.What does “momentum” actually mean in football—and how can it be measured without reducing the game to possession or shots? Juan and Arron explain how FIFA translates football principles into mathematical models, validates those models with coaches and technical experts, and turns complex tracking data into a graphic that fans can understand at a glance.We break down the underlying “threat” model, including kinetic pitch control, player speed and acceleration, ball trajectories, defensive spacing, distance to goal, sight lines, and the creation of space. Match Momentum is calculated from player-tracking data captured 50 times per second, allowing the model to recognize when a team is becoming dangerous even without dominating possession.The conversation also covers FIFA’s wider data ecosystem—including event data, skeletal tracking, and the connected match ball—why offside positioning can still create threat, whether hydration breaks alter momentum, and the next generation of football analytics focused on player energy and physical effort.GuestsJuan Busso — Senior Football Data Scientist, FIFAArron Ackerman — Team Lead, Football Performance Analysis, FIFASupport the showDonate: FFPod.com/donateFollow: @FFPod on X / Instagram / TikTok / Facebook

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

Hosted by Lester Nare and Krishna Choudhary, this episode returns to the FFP science rundown with stories spanning astrophysics, precision medicine, medical imaging, artificial intelligence, and World Cup technology.We begin with the Event Horizon Telescope and its evolving view of M87*, the supermassive black hole 55 million light-years away. How do you image something that appears about as small as a donut on the Moon? Krishna explains angular resolution, the Rayleigh limit, radio interferometry, and how telescopes across Earth can function like one planet-sized instrument. We then look at new observations showing the magnetic field around M87* changing over time—and why that may help explain black-hole jets and the mysterious shutdown of star formation in giant elliptical galaxies.Next, we turn to medicine. Researchers at Johns Hopkins have built personalized digital twins of patients’ hearts, allowing doctors to simulate ventricular-tachycardia treatments before entering the operating room. We break down how MRI data, electrical modeling, and virtual ablation could reduce procedures from hours to roughly 30 minutes. We also examine Midjourney Medical’s proposed whole-body ultrasound scanner: what the prototype appears to do, what its creators are claiming, and why it should be viewed as a potential addition to the medical-imaging toolbox rather than a replacement for MRI.Finally, we return to the World Cup. Krishna takes on “Are You Smarter Than a Scientist?” by guessing the most common injuries in professional football. Then we investigate the Norway–England Skycam controversy: did the ball strike a cable, and why did its internal sensor appear not to detect it? We close with the data behind home-field advantage, referee bias, and the natural experiment created by crowdless matches during the COVID-19 pandemic.Support the show Donate: FFPod.com/donate Follow: @FFPod on X / Instagram / TikTok / Facebook