“For what man in the natural state or course of thinking did ever conceive it in his power to reduce the notions of all mankind exactly to the same length, and breadth, and height of his own? Yet this is the first humble and civil design of all innovators in the empire of reason.”*…

A “theory of everything” (a Grand Unified Theory on steriods)– a (still hypothetical) coherent theoretical framework of physics containing and explaining all physical principles– is the holy grail of physicists. Natalie Wolchover checks in on the most recent front-runner in the hunt…

Fifty-eight years after it first appeared, string theory remains the most popular candidate for the “theory of everything,” the unified mathematical framework for all matter and forces in the universe. This is much to the chagrin of its rather vocal critics. “String theory is not dead; it’s undead and now walks around like a zombie eating people’s brains,” the former physicist Sabine Hossenfelder said on her popular YouTube channel in 2024.

String theory is a “failure,” the mathematical physicist and blogger Peter Woit often says. His complaint is not that string theory is wrong — it’s that it’s “not even wrong,” as he titled a 2006 book. The theory says that, on scales of billionths of trillionths of trillionths of a centimeter, extra curled-up spatial dimensions reveal themselves and particles resolve into extended objects — strands and loops of energy — rather than points. But this alleged substructure is too small to detect, probably ever. The prediction is untestable.

A further problem is that uncountably many different configurations of dimensions and strings are permitted at those tiny scales; the theory can give rise to a limitless variety of universes. Amid this vast landscape of solutions, no one can hope to find a precise microscopic configuration that undergirds our particular macroscopic world.

These issues are profound indeed. Yet in my experience, the typical high-energy theorist in a prestigious university physics department still thinks string theory has a good chance of being correct, at least in part. The field has become siloed between those who deem it worth studying and those who don’t.

Recently, a new angle of attack has opened up. An approach called bootstrapping has allowed physicists to calculate that, under various starting assumptions about the universe, a key equation from string theory naturally follows. For some experts, these findings support the notion of “string uniqueness,” the idea that it is the only mathematically consistent quantum description of gravity and everything else.

Responding to one bootstrap paper on her YouTube channel, mere weeks after the “undead” comment, Hossenfelder said it was “string theorists do[ing] something sensible for once.” She added, “I’d say this paper strengthens the argument for string theory.”

Not everyone agrees, but the findings are reviving an important question. “This question of ‘Does string theory describe the world?’ has just been so taboo,” said Cliff Cheung, a physicist at the California Institute of Technology and an author of the paper discussed by Hossenfelder. Now, “people are actually thinking about it for the first time in decades.”

Getting wind of this work, I wanted to drill down on the logic and examine how the string hypothesis is faring these days…

And so she does: “Are Strings Still Our Best Hope for a Theory of Everything?” from @nattyover.bsky.social in @quantamagazine.bsky.social. Eminently worth reading in full.

Compare/contrast with: “Where Some See Strings, She Sees a Space-Time Made of Fractals.”

* Jonathan Swift, A Tale of a Tub

###

As we grapple with Godel, we might spare a thought for Hermann Rorschach; he died on this date in 1922. A psychiatrist and psychoanalyst, his education in art helped to spur the development of a set of inkblots that were used experimentally to measure various unconscious parts of the subject’s personality. Rorschach knew the human tendency to project interpretations and feelings onto ambiguous stimuli and believed that the subjective responses of his subjects enabled him to distinguish among them on the basis of their perceptive abilities, intelligence, and emotional characteristics. His method has come to be known as the Rorschach test, iterations of which have continued to be used over the years to help identify personality, psychotic, and neurological disorders.

Perhaps his insight that we humans tend “to project interpretations and feelings onto ambiguous stimuli” can inform our understanding of physicists trying to construct mental/conceptual models of our reality, which they’ve been doing for a very long time, and of the limitations of that quest.

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#bootstrapping #conceptualModels #culture #Godel #HermannRorschach #history #interpretation #KurtGodel #mentalModels #Physics #projection #RorschachTest #Science #stringTheory #theoryOfEverything

The past does not exist except as a threadbare fragment in the weaker minds of the many.
-- Kurt Godel

#Wisdom #Quotes #KurtGodel #History #Uncertainty

#Photography #Panorama #Sunset #LakeSantaFe #Florida

Mathematics is either inconsistent or incomplete.

What is your philosophical interpretation of Gödel’s incompleteness theorems?

https://youtu.be/jtPgdy80YZ8

#math #mathematics #maths #logic #MathematicalLogic #gödel #kurtgödel #godel #KurtGodel #Philosophy #PhilosophyOfMathematics #PhilosophicalLogic #philosophyoflogic #logic

Intro to Gödel’s Incompleteness Theorem

YouTube

“I love to talk about nothing. It’s the only thing I know anything about.”*…

No matter how hard you try to empty a box, zero-point energy remains (image source)

Try as they might, scientists can’t truly rid a space or an object of its energy. But as George Musser reports, what “zero-point energy” really means is up for interpretation…

Suppose you want to empty a box. Really, truly empty it. You remove all its visible contents, pump out any gases, and — applying some science-fiction technology — evacuate any unseeable material such as dark matter. According to quantum mechanics, what’s left inside?

It sounds like a trick question. And in quantum mechanics, you know to expect a trick answer. Not only is the box still filled with energy, but all your efforts to empty it have barely put a dent in the amount.

This unavoidable residue is known as ground-state energy, or zero-point energy. It comes in two basic forms: The one in the box is associated with fields, such as the electromagnetic field, and the other is associated with discrete objects, such as atoms and molecules. You may dampen a field’s vibrations, but you cannot eliminate every trace of its presence. And atoms and molecules retain energy even if they’re cooled arbitrarily close to absolute zero. In both cases, the underlying physics is the same.

Zero-point energy is characteristic of any material structure or object that is at least partly confined, such as an atom held by electric fields in a molecule. The situation is like that of a ball that has settled at the bottom of a valley. The total energy of the ball consists of its potential energy (related to position) plus its kinetic energy (related to motion). To zero out both components, you would have to give a precise value to both the object’s position and its velocity, something forbidden by the Heisenberg uncertainty principle.

What the existence of zero-point energy tells you at a deeper level depends ultimately on which interpretation of quantum mechanics you adopt. The only noncontentious thing you can say is that, if you situate a bunch of particles in their lowest energy state and measure their positions or velocities, you will observe a spread of values. Despite being drained of energy, the particles will look as if they’ve been jiggling. In some interpretations of quantum mechanics, they really have been. But in others, the appearance of motion is a misleading holdover from classical physics, and there is no intuitive way to picture what’s happening…

More on the development of our understanding of “zero-point energy” and on the questions that remain: “In Quantum Mechanics, Nothingness Is the Potential To Be Anything,” from @georgemusser.com in @quantamagazine.bsky.social.

For the most amusing of musings on nothing, see Percival Everett‘s Dr. No.

* Oscar Wilde

###

As we noodle on nought, we might spare a thought for Kurt Gödel; he died on this date in 1978. A  mathematician, logician, and author of Gödel’s proof. He is best known for his proof of Gödel’s Incompleteness Theorems (in 1931). He proved fundamental that in any axiomatic mathematical system there are propositions that cannot be proved or disproved within the axioms of the system. In particular, the consistency of the axioms cannot be proved… thus ending a hundred years of attempts to establish axioms to put the whole of mathematics on an axiomatic basis. [See here for a consideration of what his finding might mean for moral philosophy…]

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#culture #GödelSProof #history #incompletenessTheorems #KurtGödel #logic #Mathematics #nothing #nothingness #Physics #QuantumMechnaics #Science #zeroPointEnergy

Día Mundial de la Lógica

El Día Mundial de la Lógica se celebra cada 14 de enero. Hoy, 14 de enero de 2026, coincide con esta efeméride proclamada por la UNESCO.wikipedia+1​

Origen

La fecha rinde homenaje al nacimiento de Alfred Tarski en 1901 y la muerte de Kurt Gödel en 1978, dos lógicos clave del siglo XX. Fue declarada oficialmente en 2019 durante la 40ª Conferencia General de la UNESCO, propuesta por Brasil, para destacar la lógica en ciencia, tecnología y razonamiento diario.cronista+2​

Objetivos

Promueve la enseñanza e investigación de la lógica, fomenta la cooperación internacional y acerca esta disciplina al público general, escuelas y familias. Busca visibilizar su rol en innovación, informática, IA y paz, pese a su subestimación cotidiana.radiomitre.cienradios+2​

Celebraciones

Se organiza globalmente con eventos académicos, talleres y campañas en redes como #DíaMundialDeLaLógica. En España y Latinoamérica, incluye actividades en universidades para impulsar el pensamiento crítico.epimenides.usal+2​

  • https://es.wikipedia.org/wiki/D%C3%ADa_Mundial_de_la_L%C3%B3gica
  • https://www.cronista.com/espana/actualidad-es/dia-mundial-de-la-logica-por-que-se-celebra-el-miercoles-14-de-enero/
  • https://radiomitre.cienradios.com/efemerides/dia-mundial-de-la-logica-por-que-se-celebra-el-14-de-enero-y-cual-es-su-origen/
  • https://www.unesco.org/es/days/world-logic
  • https://www.diainternacionalde.com/ficha/dia-mundial-de-la-logica
  • https://www.infobae.com/educacion/2026/01/14/dia-internacional-de-la-logica-cinco-argumentos-para-entender-la-importancia-de-aprender-a-razonar/
  • https://epimenides.usal.es/?q=noticia%2Fla-unesco-declara-el-14-de-enero-como-dia-mundial-de-la-logica
  • https://www.innormadrid.org/2025/01/14/dia-mundial-de-la-logica-634/
  • https://amlogica.webnode.mx/diasmundialeslogica/
  • #AlfredTarski #dailyprompt #díaMundial #KurtGodel #Lógica #PensamientoRacional #RazonamientoLógico #WorldLogicDay

    Konnte beim Spaziergang durch #brno auch die Villa finden, in der #KurtGödel aufgewachsen ist. Nette Plakette am Haus.

    The past does not exist except as a threadbare fragment in the weaker minds of the many.
    -- Kurt Godel

    #Wisdom #Quotes #KurtGodel #History #Uncertainty

    #Photography #Panorama #Canyon #SlickRock #IcebergCanyon #LakePowell #Utah

    >> Und auch der Artikel-Autor Philip Eppelsheim (Redakteur in der Politik, ich unterstelle ihm also mindestens ein Abitur) bzw. zitierter ›Unvereinbarkeitsbeschluss‹ der CDU haben #KurtGödel nicht mal ansatzweise verstanden: »Die Erfahrungen mit den Katastrophen faschistischer und kommunistischer Gewaltherrschaft hätten diese {die CDU} in der Überzeugung geeint, dass ein wahrhaft demokratischer Staat nur frei von Ideologien entstehen könne.«

    »Alles Ideologen außer uns«, posaunen nur Fanatiker.

    Wie die USA in eine Diktatur verwandelt werden könnten (nein, es geht nicht um Trump)

    Die US-amerikanische Verfassung enthält ein Schlupfloch, um die Demokratie abzuschaffen – das behauptete der brillante Logiker Kurt Gödel. Das Problem: Bis heute ist nicht klar, worauf er sich gena…

    Napoleon's Nightmare
    The greatest revolutions in physics since the 17th century, occurred from 1900 to 1930, and this had a huge effect on philosophy. Some philosophers attempted to formulate a scientific metaphysics, whilst others turned against any attempts to incorporate the two...
    #science #philosophy #physics #RudolfCarnap #moritzschlick #anwhitehead #einstein #augustcomte #kurtgodel #positivism #ViennaCircle #pragmatism #ordinarylanguagephilosophy #historyofphilosophy #metaphysics https://philosophyindefinitely.wordpress.com/2020/11/18/physics-positivism-and-early-wittgenstein/
    Physics, Positivism, and early Wittgenstein…

    Physics, Positivism, and early Wittgenstein The greatest revolutions in physics since the 17th century, occurred from 1900 to 1930, and this had a huge effect on philosophy. Some philosophers attem…

    philosophy indefinitely