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Podcasts/Lex Fridman Podcast/Woit, Peter

Woit, Peter

theoretical physicist and mathematician, Columbia University; author of Not Even Wrong and the blog of the same name

Peter Woit: Theories of Everything & Why String Theory is Not Even Wrong

Lex Fridman Podcast · Dec 3, 2021

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Core ideas

Woit describes his central intellectual interest as a deep, historically recent convergence between the mathematics underlying the most successful physical theories (geometry, connections, curvature, spinors) and the "unifying" mathematical structures emerging in modern number theory — pointing to the Langlands program and its later "geometric Langlands" offshoot (and a then-recent Peter Scholze/Laurent Fargues paper) as evidence that the deepest ideas physicists and mathematicians are separately converging on are, in a real sense, the same objects. He argues — against a common instinct in high-energy theory — that this deep structure is best understood as fundamentally four-dimensional (three space, one time), and that the decades-long habit of formulating unified theories in higher dimensions (10, 11, 26...) and then trying to explain away the "extra" dimensions has been a persistent wrong turn, since mathematics itself imposes no special preference for four dimensions and physicists have been tempted into unnecessary complexity chasing unification.

On beauty and simplicity as guides to physical truth, Woit argues beauty is best understood as a high ratio of explanatory power to structural simplicity — an idea becomes "ugly" precisely when it has to be patched with ad hoc additions to keep working — and that historically, the deepest true theories have turned out to be surprisingly simple once properly understood. Engaging with physicist Sabine Hossenfelder's critique that beauty as a research guide has misled physics, Woit agrees the final theory will likely be simple but disagrees that beauty itself is the culprit; he argues the real failure mode is self-deception — falling in love with one's own idea and unconsciously exaggerating its elegance — and that Hossenfelder's more defensible point is that theories (especially untestable ones like quantum gravity candidates) should be judged on internal logical consistency, not aesthetic appeal, since consistency is at least checkable even absent experiments.

Woit gives a detailed critique of string theory: he traces its origin to a specific 1984-era proposal — quantizing one-dimensional "strings" rather than point particles, which only makes mathematical sense in ten spacetime dimensions, requiring six dimensions to be compactified on a Calabi-Yau manifold to recover a four-dimensional effective theory — and argues this specific program failed, in the sense that an effectively unlimited number of ways exist to compactify the six extra dimensions, producing "anything you want" (the so-called "landscape" of ~10^500 solutions) rather than a predictive, falsifiable theory; hence "not even wrong," since the framework could never be pinned down enough to be tested and shown false. He contrasts the strongest case for string theory — its extraordinary fruitfulness as a wellspring of new mathematics and physics ideas (citing two-dimensional conformal field theory as a spectacular byproduct, itself later connected to the Langlands program) — with what he calls the field's most damaging failure: a sociological unwillingness to publicly acknowledge that the original, specific proposal did not work, such that "string theory" has become a diffuse tribal label under which people who never worked with actual strings still orient their research and public communication around a founding idea Woit considers discredited. He separately praises Edward Witten as an exceptionally brilliant and hardworking figure whose greatest, field-transforming contributions (a Fields Medal for physics-adjacent mathematical work is, in Woit's telling, historically almost unprecedented) mostly lie outside string theory itself, and attributes Witten's lack of a Nobel Prize not to any shortcoming but to the fact that no one has succeeded at surpassing the Standard Model (essentially complete by 1973) since.

Discussing rival "theory of everything" attempts, Woit says he sees Eric Weinstein's "geometric unity" and Garrett Lisi's E8-based proposal as running into the same fundamental unsolved problem as string theory and grand unified theories generally: constructing a large, elegant unifying symmetry structure is comparatively easy, but explaining how that structure "breaks" down to recover the specific small, observed symmetries of the Standard Model (U(1), SU(2), SU(3)) and ordinary four-dimensional spacetime has never been convincingly solved by anyone. He is dismissive of Stephen Wolfram's cellular-automata-based "physics project," saying he sees no evidence it connects to or explains the deep mathematical structures (geometry, spinors, representation theory) he considers central to real progress, and that engaging seriously with every such alternative theory (also citing the many amateur "theories of everything" he receives by email) isn't feasible given finite time — though he distinguishes serious researchers like Weinstein from cranks. He expresses genuine, more recent enthusiasm for Roger Penrose's twistor theory, describing its central insight as replacing "points in spacetime" with the geometry of light rays/spheres (the natural, four-dimensional-specific mathematical objects one actually perceives), which elegantly and "tautologically" explains the otherwise mysterious existence of spinors (the two-complex-number objects needed to describe particles like electrons, whose 360°-rotation sign-flip and other properties resist ordinary vector-based visualization) — and describes his own recent research direction of taking seriously the standard "Wick rotation" trick (multiplying the time coordinate by the square root of −1) as physically fundamental rather than a mere calculational convenience, within the twistor framework, as a promising new personal lead.

On the broader "theory of everything" concept, Woit pushes back on its name as inherently overreaching: such a theory (per Phil Anderson's "more is different") would describe the most fundamental interacting objects but could never explain emergent, higher-level phenomena (weather, biology, consciousness, why food tastes good) which require entirely different explanatory frameworks at their own levels. He is skeptical that a genuine breakthrough theory of everything is likely within the next 20 years, primarily because particle accelerators have essentially plateaued in reachable energy (predicting the LHC will simply gather more data at the same energy scale rather than higher energy) and progress has historically depended on surprising experimental input that is no longer forthcoming; he is similarly unconvinced that quantum computing will resolve the deeper problem of not knowing the correct underlying theory, even if it eventually helps with strong-coupling calculations that are currently intractable. He voices broader concern that physics' public communication has entered an unusually dangerous state relative to mathematics — overselling unproven, ultimately unsuccessful ideas (unnamed but clearly including some popular string-theory communicators) as triumphant successes — arguing this risks a specific, serious harm: eroding public trust in science once people recognize the gap between the claimed and actual state of knowledge, and above all misleading the most talented students entering the field about where real, tractable progress can be made. He closes reflecting that physicists are often mistakenly asked to pronounce on "the meaning of life" in a way mathematicians never are, despite doing intellectually similar work, and that at 64 his own sense of mortality mainly manifests as increased urgency to finish specific unfinished work rather than any deeper existential reckoning.

Excerpts

On why he considers the core string theory program a failure, "not even wrong" rather than simply wrong:

“There's just too many ways of doing this and you didn't know how to do this consistently... it was 'not even wrong' in the sense that you couldn't even pin it down well enough to actually get a real falsifiable prediction out of it that would tell you it was wrong.”

On the sociological, not just scientific, problem he sees with how string theory is discussed publicly:

“The really bad thing that's happened to the subject is that it's hard to get people to admit, at least publicly, that that was a failure... you're continually pointing back to this idea which never worked out as your guiding inspiration, and it really kind of deforms your whole way of making progress.”

On what he finds compelling about Penrose's twistor theory and its explanation of spinors:

“A spinor is a point... the space of spinors at a point is that two-plane — your whole definition of what a point in spacetime was just told you what a spinor was. They're just the same thing... it's just completely tautological.”