The Paula Scale

The Paula Scale@paula_scale

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Season 1 episodes (3)

The Key to Every Universe
S01:E01

The Key to Every Universe

This Episode In this episode Paula visits Albert Einstein in Princeton, 1947. Their conversation covers the EPR paradox, the Trennungsprinzip, the unified field theory, Gödel’s rotating universe, the Besso letter, and the question Einstein spent thirty years trying to answer: what is the real thing behind quantum mechanics — der wahre Jakob? Paula introduces the Paula Scale and Q-Level Three. Guest Albert Einstein (1955) Chapters Paula Introduction (5 min) The Paula Scale (8 min) Einstein enters (12 min) The Implication (3 min) Outro (1 min) Topics Discussed Civilisational progress and the Kardashev Scale Complementarity General relativity Gödel’s incompleteness theorems Many-worlds interpretation Quantum simulation and Q-Levels The EPR paradox and quantum entanglement The Trennungsprinzip (separation principle) The unified field theory Historical Sources Born-Letter, 4. December 1926 (Einstein-Archiv 8-180): “Die Quantenmechanik ist sehr Achtung gebietend. Aber eine innere Stimme sagt mir, dass das noch nicht der wahre Jakob ist. Die Theorie liefert viel, aber dem Geheimnis des Alten bringt sie uns kaum näher. Jedenfalls bin ich onzeugt, daß der Alte nicht würfelt.” Source: Born-Einstein Letters, Macmillan 1971. Besso-Kondolenzbrief, 21. March 1955 (after Bessos Tod am 15.3.1955): “Nun ist er mir auch mit dem Abschied von dieser sonderbaren Welt ein wenig vorausgegangen. Das bedeutet nichts. Für uns gläubige Physiker hat die Scheidung zwischen Vergangenheit, Gegenwart und Zukunft nur die Bedeutung einer, wenn auch hartnäckigen, Illusion.” Source: Einstein-Besso Correspondance 1903-1955, ed. Pierre Speziali, Hermann 1972. Letter to Schrödinger, 19. June 1935 on EPR: Podolskys Entwurf: “the essential thing was, so to speak, smothered by the formalism.” Einstein führt das Trennungsprinzip ein — sein eigentliches Kernargument (Separabilität, nicht Determinismus). Source: Don Howard, “Einstein on Locality and Separability”, 1985. “Geometrie und Erfahrung” , Lecture Prussian Academy, 27. January 1921: “Wie ist es möglich, dass die Mathematik, die doch ein von aller Erfahrung unabhängiges Produkt des menschlichen Denkens ist, auf die Gegenstände der Wirklichkeit so vortrefflich passt?” + “Insofern sich die Sätze der Mathematik auf die Wirklichkeit beziehen, sind sie nicht sicher, und insofern sie sicher sind, beziehen sie sich nicht auf die Wirklichkeit.” Source: MacTutor History of Mathematics. “Physik und Realität” , Journal of the Franklin Institute, March 1936: “Das ewig Unbegreifliche an der Welt ist ihre Begreiflichkeit.” Source: Original paper. “Raffiniert ist der Herrgott, aber boshaft ist Er nicht” — zu Oscar Veblen, Princeton, May 1921. Einstein later said: “Vielleicht ist Er doch boshaft.” Eingraviert on dem Kamin in Fine Hall, Princeton. Morgenstern-Diary on Einstein und Gödel: Einstein said he came to the Institute “just to have the privilege of being permitted to walk home with Kurt Gödel.” EPR Paper: Physical Review 47 (1935), pp. 777-780 Born-Einstein Letters: Macmillan 1971 (Letter vom 4.12.1926, Archiv 8-180) Born-Letter “spukhafte Fernwirkung”: 3. March 1947 (Born-Einstein Letters, p. 158) Gödel-Metrik: Reviews of Modern Physics 21 (1949), pp. 447-450 Schilpp-Band: Albert Einstein: Philosopher-Scientist, 1949 Wheeler “It from Bit”: 1989/1990, “Information, Physics, Quantum: The Search for Links” Feynman 1981: “Simulating Physics with Computers”, Int. J. Theoretical Physics Stanford Encyclopedia: “Einstein’s Philosophy of Science”, “The EPR Argument”

The Invisible Symmetry
S01:E02

The Invisible Symmetry

Bryn Mawr College, Pennsylvania. Autumn 1934. Emmy Noether is fifty-two, exiled from Goettingen, surrounded by students who adore her. Paula has visited before. In 1918, Hilbert had a problem -- energy seemed to vanish in general relativity. He asked Noether to help. She solved his problem and, in passing, proved something far deeper: every continuous symmetry in the universe corresponds to a conservation law. Time symmetry gives you energy. Spatial symmetry gives you momentum. Rotational symmetry gives you angular momentum. The theorem does not depend on which universe you are in. It holds in every branch Paula can reach. But the physics theorem was a side project. Her real work -- rebuilding algebra from the ground up, finding the "inner ground" for equality instead of proving it from both sides -- is what van der Waerden turned into a textbook and what mathematicians still call "thinking like Noether." They dismissed her from Goettingen in 1933. They dismissed Courant, Bernstein, Landau -- every Jewish professor in a single semester. She wrote to Hasse: "This thing is much less terrible for me than it is for many others." She meant it. She had her mathematics. They could take everything else. The episode ends with a question Emmy puts to Paula -- one that will follow her for the rest of the series: if your simulation matches reality exactly, how do you know you have created the thing, and not merely found it?

The Act of Desperation
S01:E03

The Act of Desperation

Goettingen, 1947. Max Planck is eighty-nine. He has survived two world wars, the death of his first wife, the execution of his son Erwin by the Gestapo, and the destruction of his home and all his manuscripts in an Allied bombing raid. He carries all of it. And he is still thinking. In October 1900, Planck – the most conservative physicist of his generation – wrote down an equation that broke physics. Not because he wanted to. Because the numbers left him no choice. Energy comes in packets. Quanta. He called it “an act of desperation.” He spent the next fifteen years trying to undo what he had done. The universe would not let him. He went to see Hitler in 1933 to plead for his Jewish colleagues. Hitler said: “If the dismissal of Jewish scientists means the annihilation of contemporary German science, then we shall do without science for a few years.” Planck stayed in Germany. Whether he was right to stay, he does not know. Even now. In his 1944 Florence lecture, he said: “There is no matter as such. All matter originates and exists only by virtue of a force. We must assume behind this force the existence of a conscious and intelligent mind.” Paula asks whether that mind might be computational. Planck asks whether it matters. The conversation between faith and physics has never been more honest.