Jacob Barandes
speaker
7,673 appearances
5 recordings
1 series
first heard Jan 2025
last heard Jun 2025
Jacob Barandes’s voice in public audio — every appearance, attributed to the second.
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The Hilbert space involves finite dimensional uh systems.
that's a technicality.
People have extended it beyond the financial case, but it's easy to see in the financial case.
This other picture.
lets you tell the same mathematical story in terms of springs that oscillate.
And then in this other picture
for one of the numbers in front of a branch to be zero
is to say that the spring is not oscillating.
Now
A spring that's not oscillating is still a spring, it's still there.
We wouldn't look at a collection of springs and say that
Only the springs that are going back and forth exist, and the ones that are not going back and forth don't exist.
So in this equivalent mathematical picture.
It's no longer obvious that
Zero amplitude means does not exist.
And because there's nothing about the Hilbert space axioms that fixes one mathematical representation.
Over another.
And if in that other mathematical representation, zero amplitude
doesn't correspond to lack of existence, it's no longer obvious that we should throw away branches at a zero amplitude.
Throwing away branches of the zero amplitude plays an important role in
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