Jacob Barandes: The Mathematical Accident That Rewrites Quantum Theory
episodePreviously titled “The Mathematical Accident That Changes Everything” — renamed by the publisher on Aug 3, 2026
Transcript
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What hidden assumption bridges classical probability and quantum theory?
I don't think it's coherent. I don't think that l answers the questions of what's going on in quantum foundations.
Harvard's Jacob Barandes exposes the hidden assumption that has blinded us for nearly a century. One day, while preparing to teach quantum mechanics, Jacob made a startling discovery. Quantum theory and classical probability are separated by a single unnoticed presumption, Markovianity. Drop it, and the gap between them vanishes entirely. Even more startling, this mathematical accident bypasses the so called local realism constraint of Bell's theorem and dissolves the measurement problem. All without magic. This discussion ranges from black holes that rain to the mathematical beauty of indivisible processes, culminating in a meditation on legacy, kindness, and why the next revolution in physics demands philosophers and physicists working as one.
Jacob Welcome
back. It's always a pleasure to talk with you, Kurt. It's always a pleasure to have you, to host you.
How does dropping the Markovian assumption affect Bell's theorem?
Thank you so much. Lovely being here in Toronto. It's a lovely city. Yes. And if you haven't been to Toronto, you should come visit. It's great.
Is Toronto real?
Why does the Copenhagen interpretation remain relevant today?
Here, how about that? Is Toronto non-locally real or locally real? Firstly, let's s Focus on this term real. Has the twenty twenty two Nobel Prize disproved so called local realism?
If you read the press release from the two thousand twenty two Nobel Prize in Physics that was given to uh Aspe, Klauser and Zeilinger for their work uh testing experimentally violations uh of a generalized set of equalities that began with the Bell inequality and evolved into things like this CHSH inequality. Uh if you read the press release for that Nobel Prize It says that what they accomplished was proving that there cannot be hidden variables. That's not strictly correct.
It's certainly not what Bell argued, but Um
There is a a somewhat narrower. claim about what they demonstrated with their experimental work.
What are indivisible stochastic processes and how do they reshape quantum foundations?
And that was to show that local realism is false. So we have to talk about what local realism means. Local realism is the statement that objects Localized in space. Have definite properties, have in some real sense. They possess some kind of definite way that they are. That is independent of measurements. And that somehow interact with measuring devices to yield results. Maybe the measuring devices passively reveal those pre-existing properties. Maybe there's a more subtle interplay. But the objects have something like real definite properties localized where they are in space.
Just to be specific, you said real definite properties. Can we just drop real from that? Can we just say that the particles have definite properties? Sure, sure.
Uh I was using real there m more for emphasis.
How can teaching black holes illuminate quantum mechanics for students?
Real like actual just to make very yeah. Uh the the question about what do we mean something distinct by real from from definite? Uh I mean you could you you you could try to parse those. Um I don't Uh have a definition of what real means in a metaphysical or physical sense that doesn't involve words that essentially mean the same thing as real. To say something is real is to say that it exists. But what does exist mean? is real, really there. I mean it's it's so this is again one of those uh you know, we've had conversations before about how some very primordial primitive notions can be very difficult to define rigorously in a way that isn't logically circular. Um so for these kinds of notions and these include
What is the role of coordinate systems in understanding black hole physics?
Things like reality and existence. Uh they include things like if you really try to pin it down, exactly what we mean by probability, exactly what we mean by Consciousness, uh, you know, they're all of these very difficult questions in metaphysics. We think we're talking about something when we talk about them, but they are very difficult to define. Free will is another good example. Very difficult things to define. Um so we'll have to take for granted for now, because we can't solve every problem in philosophy today, that we have some prior notion of what it means for things to be real, that they exist.
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Chapters
8 chapters
1
What hidden assumption bridges classical probability and quantum theory?
0:00–1:08
2
How does dropping the Markovian assumption affect Bell's theorem?
1:08–1:15
3
Why does the Copenhagen interpretation remain relevant today?
1:15–2:25
4
What are indivisible stochastic processes and how do they reshape quantum foundations?
2:25–3:25
5
How can teaching black holes illuminate quantum mechanics for students?
3:25–4:20
6
What is the role of coordinate systems in understanding black hole physics?
4:20–8:37
7
How does the indivisible stochastic approach address quantum gravity and cosmology?
8:37–10:42
8
What legacy does Jacob Barandes hope to leave for future physics?
10:42–2:07:20
Speakers
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Tim Maudlin: Quantum Nonlocality Explained FROM SCRATCH
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Jacob Tsimerman: He Won Math's Highest Prize. Then Announced the End