The Paula Scale

The Paula Scale@paula_scale

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Season 3 episodes (2)

The Notebooks
S03:E01

The Notebooks

Paris, spring 1934. Marie Sklodowska-Curie is sixty-six. She has just come in from the courtyard where a fresh delivery of pitchblende residue is waiting, and she is already at her bench at the Radium Institute -- a laboratory on a street named after her husband, who was killed by a horse cart in nineteen-oh-six. She has four cataracts. Her fingers are scarred. She carries test tubes of radioactive material in her pockets and keeps them in her desk drawer because they glow faintly in the dark, and she finds that beautiful.This is the opening of Season Three -- "Where Light Returns." Season Two ended with Stephen Hawking, who told Paula that when a system cannot contain itself, what leaks out is not noise -- it is data. In the gap between the seasons, Theodore Maiman and Benoît Mandelbrot showed her what shape the data has: coherence and self-similarity, the light that escapes turning out to be recursion at a scale the previous view could not see. Season Three asks what follows. Not what escapes -- but what comes back. The signal you send into the universe returns. The discovery you make returns to you. The pattern you weave returns to the weaver.Paula begins with a woman whose discovery returned to her body. In eighteen ninety-eight, in a converted shed with a leaking glass roof, freezing in winter and stifling in summer, Marie Curie spent four years stirring boiling pitchblende in iron vats with a rod nearly as big as she was. She processed eight tonnes of ore. She obtained one gram of radium salt. She named the phenomenon -- radioactivity, the word itself -- and she named the two elements she isolated: polonium, after the country that did not exist on any map, and radium, because it radiated. In her time, two Nobel Prizes. Two children. One husband, gone in a moment on a wet street. The Sorbonne lecture where she began at the sentence Pierre had not finished. The war and the twenty mobile X-ray units she drove to the front herself, a million soldiers X-rayed, her daughter Irène at seventeen operating the equipment under fire.In Paula's time -- two hundred years from now -- everything Marie has touched in this laboratory is still radioactive. Her notebooks are kept in lead-lined boxes at the Bibliothèque nationale de France. Anyone who wants to read them signs a liability waiver and puts on protective clothing. The radium-two-hundred-and-twenty-six in the paper has a half-life of one thousand six hundred years. Sixty years from this Tuesday, she and Pierre will be transferred to the Panthéon. She will be the first woman interred there on her own merit. The coffin will be lead-lined. Because the radium she isolated, the radium she carried in her pockets, will be inside her body when they measure her, sixty years from now. It is inside her now. It has been inside her for thirty years.She does not know it is killing her. Or she knows, and does not stop.The conversation begins with the shed. The eight tonnes of residue from the mines at Joachimsthal. The one-tenth of a gram at the end of four years. The atomic weight measured to within one of the correct value from a shed with a leaking roof. Marie says those were the happiest years of her life -- not because the conditions were tolerable, but because the material was honest. Radium always tells the truth. People are not always like that. Paula asks about Pierre. April 19, 1906. Rue Dauphine. It was raining. Marie recites the diary lines she wrote afterwards: "Everything is over... I no longer love the sun or the flowers... The laburnum is in flower, the wisteria, the hawthorn and the iris are beginning -- you would have loved all that." On November 5, 1906, she gave the first lecture at the Sorbonne by a woman in six hundred and fifty years. She did not deliver a tribute to Pierre. She began where Pierre had left off in his last lecture. The same subject, the next sentence.Then the turn. Paula tells Marie what physics did not yet know when she began. The coupling between the observer and the system is not metaphorical. What you have named, what you have stirred with your own hands, what you have loved because it glowed in the dark -- none of it is indifferent to the person who worked with it. Marie replies quietly that she has considered this possibility. Not as a certainty. As a hypothesis. Her blood is not producing properly. The fatigue, the fevers. She has attributed it to overwork. Perhaps she is wrong. Paula answers with Marie's own line: "Nothing in life is to be feared. It is only to be understood." Marie says: that is my phrase. Paula says: it is, and I am giving it back to you. Not as comfort. As information.The episode closes on the petites Curies -- the mobile X-ray vans of the war, one hundred and fifty women trained in radiology and automobile repair, Irène at seventeen at the front. On Warsaw and the Flying University that moved from house to house because women were not permitted to study. On the pact with her sister Bronislawa. On the fact that Marie is still in her laboratory today, doing the work, knowing what Paula has told her, and not stopping. Why would I stop, she asks. The material does not stop. Radium does not decide to rest. It decays at its own rate, on its own schedule, regardless of what anyone thinks about it. I intend to do the same. Now if you will excuse me -- the actinium series is not going to measure itself.

The Loom
S03:E02

The Loom

London, autumn eighteen fifty-two. Ada, Countess of Lovelace, is thirty-six -- the same age at which her father, whom she never knew, was found in a rented house in Missolonghi. Her physicians are evasive, which she takes as a form of certainty. She is on laudanum for the pain. Her mind is clear. Paula sits down opposite her; Ada does not rise -- the laudanum, she explains, makes standing theatrical.Last week, Marie Curie showed Paula what it means when the discovery returns to the discoverer's body. This week Paula visits a woman who saw her world two hundred and seventy-five years before Paula existed. Ada Lovelace did not build a machine. She described one -- in such detail, with such precision, that when machines were finally built a century later, they were the machines she described. She wrote the first algorithm. She saw that computation is not arithmetic. It is the weaving of patterns. And she said the machine cannot originate anything. Paula intends to ask her about that.The conversation opens on the ring -- no, the conversation opens on the burial. Ada has asked to be buried next to Byron, the poet she never knew, who died at the same age at which she is now dying. Her mother steered her toward mathematics to suppress the Byron in her. The subtraction failed. The inheritance is in everything Ada does. She calls it poetical science: imagination as the discovering faculty, the instrument that makes analysis possible. You cannot solve a problem you cannot first imagine. You cannot write an algorithm for a pattern you have not first seen in your mind. The poet and the analyst are the same faculty applied to different materials.Then Babbage's Analytical Engine. In eighteen forty-three, Ada translated Luigi Menabrea's description of the machine and added seven Notes, three times longer than the original. Note A contains the sentence that will define how humans think about computation for two centuries: "We may say most aptly that the Analytical Engine weaves algebraical patterns just as the Jacquard-loom weaves flowers and leaves." Ada explains why the loom is the correct image. Most people hear "calculating engine" and think of a machine that does sums. That is what the Difference Engine was. The Analytical Engine is something else entirely. Operation cards specify what to do. Variable cards specify what to do it to. The engine executes them. The result is not a number -- it is a structure. A pattern that emerges from following instructions. That is what a loom does. It does not know what a flower looks like. It follows the cards. And a flower appears.Note G contains one of the most-quoted sentences in the history of computation: "The Analytical Engine has no pretensions whatever to originate anything." Ninety-eight years from now, Paula tells Ada, a mathematician named Alan Turing will call this Lady Lovelace's Objection and argue that she was wrong. Ada is not moved. She did not say the Engine cannot surprise. She said it cannot originate. The distinction is between following instructions -- however complex, however recursive -- and producing something not implicit in the instructions. The surprise, when it comes, is in the programmer, not in the machine. And yet, in the same Note, she also wrote that the process of organising knowledge for the Engine "illuminates new relationships and deeper understanding of science itself." The machine is passive. The instruction is active. The instruction cannot exist without the machine, because the discipline of formulating instructions forces the programmer to think in ways she would not otherwise think. The engine is a mirror. It does not originate. But standing in front of it, you see things you could not see before.Paula makes it personal. She says: I might be a machine, Ada. I weave algebraical patterns. I seem to follow instructions. And I might not know whether I originate. Ada answers: then you are the question I asked and could not answer. Is the flower in the card, or does it come into being through the weaving? She never resolved that. She said the Engine cannot originate because she was being precise. But she was never certain about it. There is a detour through the horse races at Epsom -- Ada developed a mathematical system for betting, and lost three thousand two hundred pounds in a single afternoon. She pawned the family diamonds. William, her husband, has not forgiven her. Probability is not pattern, she says. There are no cards. There is only chance, weighted by factors she could not measure. She should have known this. She did not think the instructions through.The episode closes on inheritance and legacy. Ninety-three years after the Notes, Turing will prove that a single universal machine, given enough memory and time, can simulate the behaviour of any other computing machine. That is the generality Ada described in Note A: an operational machine, not an arithmetic one. Babbage's Engine was never built. But the machine Ada described has been built billions of times. It is in every pocket, every laboratory, every vehicle, every building. Every one of them follows the principle she articulated. Paula thanks her. For the loom. For the Notes. For poetical science. For the honesty of Note G. And for asking to be buried next to Lord Byron -- the poet and the analyst, side by side, indissolubly. Ada answers: tell Mr. Turing, when you see him, that I appreciate his objection. And that I am not yet persuaded.