Aharonov-Bohm Effect

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The Aharonov-Bohm Effect (1959), named after Yakir Aharonov (b. 1932) and David Bohm (b.1917), sometimes called the Ehrenberg–Siday–Aharonov–Bohm effect, is a quantum mechanical phenomenon in which an electrically charged particle is affected by an electromagnetic potential (φ, A), despite being confined to a region in which both the magnetic field B and electric field E are zero. The underlying mechanism is the coupling of the electromagnetic potential with the complex phase of a charged particle's wave function, and the Aharonov–Bohm effect is accordingly illustrated by interference experiments.

The Aharonov-Bohm Effect is more than a recurring physics example in Eric Weinstein's corpus. Eric uses it to argue that apparently secondary mathematical structure can turn out to be physically consequential, that path dependence and holonomy can be features rather than defects, and that basic surprises may remain hidden long after a field believes it understands its foundations.

In his public explanations, an electron interference pattern changes when its paths enclose a shielded solenoid even though the electrons do not encounter the local electric and magnetic fields that classical intuition would make primary. Eric emphasizes the electromagnetic gauge potential and the holonomy around the circuit. He connects this structure to Penrose stairs, Escher staircases, gauge theory, and the cycling problem in economic index numbers.

Eric's Main Takes[edit]

  • The potential is not disposable scaffolding: Eric presents the effect as evidence that the electromagnetic potential cannot be dismissed as merely a convenient intermediate for calculating electric and magnetic fields. In his geometric account, the relevant information is carried by a gauge connection and detected through phase holonomy.
  • Path dependence can be the result: He uses the effect as a model for promoting the failure of a naive hope into the centerpiece of a better theory. A loop that fails to return measurements to their expected starting relation may reveal curvature rather than bad measurement.
  • The late discovery should produce humility: Eric repeatedly stresses that the effect appeared surprisingly late in the history of electromagnetism. For him, it is evidence that a mature field can overlook consequential structure in familiar theory.
  • Small experiments can discipline grand stories: He contrasts the tabletop or precision character of Aharonov-Bohm with the assumption that foundational progress always requires a larger collider. Experiment matters partly because it supplies an external shock against sociological conformity and unconstrained storytelling.
  • Physics communication repeats too narrow a canon: In 2025, Eric argues that the effect should be at least as prominent in public science as Schrodinger's cat or the double-slit experiment. Its relative obscurity supports his complaint that audiences are made pseudo-conversant in a tiny menu of quantum examples while deeper geometric ideas remain unavailable.
  • Ambitious theories should recover such effects: Brian Keating invokes Aharonov-Bohm when asking whether computational or string-theoretic theories of everything reproduce known but non-obvious phenomena. The exchange makes the effect a useful benchmark for the difference between suggestive formalism and an adequate account of observed physics.
  • Hidden configurations are possible, but not proof of extraordinary claims: In UAP-adjacent conversations, Eric uses Aharonov-Bohm as an example of known physics that could look like action at a distance or magic to an uninformed observer. He treats it as a reason to search unusual configurations and keep "misunderstood known physics" in the decision tree, not as evidence that UAP, remote-viewing, or fringe-electrodynamics claims are true.

On X[edit]

Physically "I'm my own grandpa" is the Aharonov-Bohm effect w/ "Grandpa" as phaseshift (absent in the universal cover): http://bit.ly/9rEt92

10:01 PM ¡ Jul 22, 2010


@elonmusk @MuskUniversity That is, respectively, not the issue.

You “break physical law” by showing that physical theory is merely effective. Why are you not investing in fundamental physics to render current thy effective??

Aharonov-Bohm, Lee-Yang, Superconductivity, Superfluidity, etc are examples.

2:44 AM ¡ Apr 29, 2023

@elonmusk @MuskUniversity Good job tonight by the way. But can we actually stop messing around and get focused on actually getting off this rock? This is getting dangerous just letting this Ukraine/climate/market thing keep running. It’s not gonna run like this forever…as you more than others well know.

ERW-X-post-1652142783891910657-Fu2XGo6aYAE4qfg.jpg
2:48 AM ¡ Apr 29, 2023

@elonmusk @MuskUniversity *respectfully

Sorry. Autocorrect and I have our moments. The point stands however.

2:50 AM ¡ Apr 29, 2023


Quality Control: the scourge of Great Science.

You cannot quality control your nation to great theoretical physics. Can’t be done.

It’s about what has never been done. I could wipe out all of past theoretical physics with peer review & quality control.

5:50 AM ¡ Jul 05, 2025

“Mr Feynman: what is the measure on that integral?”

“But then your eigenfunctions aren’t in your Hilbert space.”

“Wait: why are we adding ad hoc positivity conditions again?”

“So nature just gives us this magic sector Mr Higgs because it would solve all your problems? Have you considered going into screenwriting?”

“But Dr Einstein, your equations must be wrong because they lead to singularities that can’t be removed.”

“Dr Gell-Mann: you are just randomly applying SU(3) to totally different things. Like a man with a hammer thinking everything is a nail.”

“But Paul, then the election and the proton would have the same mass. Rejected for publication I’m afraid.”

“But Dr Aharonov: surely someone would have noticed this. I’m sorry. You can’t give a talk on magical E&M.”

5:50 AM ¡ Jul 05, 2025

*electron. My bad.

Q: How do we get relocate these people at scale? How do they enter theoretical physics? It’s so bizarre.

6:12 AM ¡ Jul 05, 2025

@barryzed Quite. Thanks. 🙏

6:13 AM ¡ Jul 05, 2025

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