What is the Wavelength of the Pilot Wave in the Pilot Wave Theory?

[sha1000]

Hi,

I am new to the Pilot Wave theory. In my understanding this theory gives a hope for reconstruction of the realism.

But I have several maybe naif questions. What is the wavelength of the pilot wave? Is it the same as deBroglie wavelength formula?

Very often people use the walking droplets as the analogy to the pilot wave. In the case of walkers the bouncing energy comes from the oscillating basin. Does it mean that in the Pilot Wave theory the space has a fundamental vibration and plays the same role as the vibrating basin?

 

[Demystifier]

But I have several maybe naif questions. What is the wavelength of the pilot wave? Is it the same as deBroglie wavelength formula?

Essentially yes, this is the same wavelength. More precisely, the wave if pilot-wave theory is the same as wave in standard quantum mechanics.

Very often people use the walking droplets as the analogy to the pilot wave. In the case of walkers the bouncing energy comes from the oscillating basin. Does it mean that in the Pilot Wave theory the space has a fundamental vibration and plays the same role as the vibrating basin?

No, it does not mean that. In fact, the walking droplet is not such a good analogy.

 

[sha1000]

Thank you for your reply

 

[akvadrako]

No, it does not mean that. In fact, the walking droplet is not such a good analogy.

Besides the difference of an oscillating basin, what's bad about the walking droplet analogy? Is it just the impreciseness?

 

[Demystifier]

Besides the difference of an oscillating basin, what's bad about the walking droplet analogy? Is it just the impreciseness?

The main problem is that it cannot simulate entanglement.