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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Appearances
Thank you.
Yeah, let's talk about that.
Let's think about the world as we see it.
This would be classical mechanics.
The world that it's uh that it's following, you know, Newton's law, right?
The force is um it's it's uh related to the acceleration.
Okay.
And this is the world of classical mechanics.
We are used to the movement of trajectories of celestial bodies follow this uh this pattern.
And well
There is a step forward from you asked me about Poisson, right?
So to go from Newton to Hamiltonian dynamics, which is more or less a change of coordinates, and then we can formulate the equations of movement of particles in something called a cotangent bundle.
This sounds very mysterious, but essentially uh it's formed by pairs of position and momenta.
Okay, and then the principle that guides the movement of the particles is the conservation of energy.
And we think of the energy as the Hamiltonian of our system.
And then our system just follows these two equations here, which are Hamilton's equations.
This is a uh this is just a different a system of differential equations, and as the movement of the particle evolves, it follows these equations, these simple equations here.
But there was a surprise long time ago, there was an experiment, the double slit experiment, that showed that uh not only light but also electrons uh have this wave particle duality, right?
Uh the experiment throughout electrons through a double slit.
And while we could expect, if they were particles, that we would say see this double slit again projected on the second screen, there was an effect of interference pattern.
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