Eva Miranda

speaker

1,609 appearances 1 recordings 1 series first heard Jan 2025 last heard Jan 2025

Eva Miranda’s voice in public audio — every appearance, attributed to the second.

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Theories of Everything with Curt Jaimungal · Eva Miranda: The Mathematical Bridge Between Classical and Quantum · 26 Jan 2025 podcast

For instance

If you take a function that is a square uh x square p square

It doesn't work.

And the way to prove it, it's even funnier than you were describing.

You can present this function in two different ways, or at least in this case, at least two different ways, as a Poisson, as a classical Poisson bracket.

And then if you know, if the the quality holds at the quantum level.

Then

You have a contradiction.

You have a contradiction because then this term has to be equal to this term, but it's not.

And then this took to gr to a person called Grungwald to understand that it's impossible

This is a kind of no go theorem.

So it's impossible to construct a quantization map that satisfies the correspondence between classical and quantum.

So whatever Dirac wanted.

Dirac dream.

Cannot come true.

This is pitiful, right?

So it's impossible to construct a quantization map that satisfies the correspondence between classical

uh Poisson brackets and quantum commutators for all classical observers.

And now as you point it out very, very nicely and wisely, you need to choose the observables, right?

Not for all observables, but maybe for some observables you can.

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