Podbit · Dwarkesh Podcast
In the 18th century, before special relativity existed, Michell and Laplace wrote down the formula for an object whose escape velocity equals the speed of light — and got the Schwarzschild radius exactly right, including the factor of 2, by pure coincidence. The correct answer for the wrong reasons.
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At 34:46 · chapter starts 31:46
Brown starts from first principles: to escape a gravitational field you need kinetic energy equal to the gravitational binding energy. For Earth, that gives 11 km/s [1] — Adam Brown "Earth escape velocity: 11 km/s: The escape velocity from Earth's surface is approximately 11 kilometres per second; at the Schwarzschild ra…" 34:24 . For sufficiently massive or compact objects, the escape velocity hits c. Michell and Laplace wrote that formula down in the 18th century — coincidentally getting the correct Schwarzschild radius 2GM/c² including the factor of 2. Brown then introduces the pulley thought experiment: slowly lower a brick toward a massive object, extract gravitational binding energy as you do. He calculates the energy fraction extracted as a function of radius and shows that for a sufficiently compact object — one inside the Schwarzschild radius — the formula would predict extracting more than 100% of the rest-mass energy, which is an obvious impossibility.
The escape velocity from Earth's surface is approximately 11 kilometres per second; at the Schwarzschild radius escape velocity equals the speed of light.
The critical radius at which escape velocity equals the speed of light — defining a black hole's event horizon — is given by 2GM/c², known as the Schwarzschild radius.
Chemical rockets extract only about 10^-10 (one ten-billionth) of the rest-mass energy of their fuel — nearly the same fraction as the gravitational binding energy at Earth's surface.
In a blind evaluation by Dwarkesh's team, a fine-tuned question-generator model was preferred over Dwarkesh's own questions roughly one-third of the time.
Three formulas from the Schwarzschild metric dominate life near a black hole: the gravitational field diverges at 2GM/c² (so you can never stay static inside); clocks run slow by a square-root factor (gravitational time dilation); and energy redshifts by the same factor on the way out. All three are the same equation in disguise.
Factories that replaced coal engines with electric ones in the early 1900s got only 6% efficiency gains. Those that redesigned their entire factory around electricity got a 3x productivity improvement. Swapping AI tools into your existing structure will give you 6%. Rebuilding around AI will give you 10x.
Lebanese terrorists backed by Iran were holding American hostages throughout the Reagan presidency. Reagan had loudly campaigned against negotiating with terrorists — putting him in an impossible position that his team quietly decided to ignore.
During the Iran-Iraq War, the US openly supplied Iraq with weapons, training, and intelligence. At the same time, Oliver North was secretly funneling missiles to Iran. The US was playing both sides of a shooting war.
Oliver North traveled to Iran under the alias 'William P. Goode' with a fake passport. CIA Director William Casey allegedly gave him cyanide pills so he could kill himself rather than be tortured if captured. He returned safely and the deal moved forward.
The Pentagon sold missiles to the CIA for $3,700 each. The CIA sold them to Richard Secord at cost. Secord sold them to Iranian middleman Ghorbanifar for $10,000 each. Ghorbanifar charged Iran even more. The profit — including $3 million in interest in one Swiss account — was diverted directly to fund the Nicaraguan Contras.
America secretly transferred 2,000 missiles and missile parts to Iran in 8 shipments over more than a year. Only 3 of 7 hostages were released. Three more were taken. The net result was zero freed hostages and a full-blown constitutional scandal.
On October 5, 1986, a CIA Contra supply plane flew a weapons drop at 2,500 feet in broad daylight. A Sandinista soldier shot it down. The only survivor, Eugene Hasenfuss, had borrowed a parachute from his skydiving brother. He was captured, paraded in front of cameras, and told the Sandinistas everything he knew.
The CIA supply operation used a front company called Southern Air Transport, widely known to be a CIA cover. Crew members of the downed plane carried their Southern Air Transport employee IDs in their wallets. One also had a business card directly linking him to Oliver North's office in Washington.
When the scandal broke, Oliver North and his secretary Fawn Hall conducted what became known as a 'shredding party,' destroying a day's worth of documents. The full truth of Iran-Contra may never be known because of what was fed through that shredder.
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