- #1

Spinnor

Gold Member

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## Main Question or Discussion Point

Could almost nothing really be something? Fourier series.

Say we have a large box. Say we have some function defined in this box that is square integrable. Say this function is small except for some small region in the box. This function could be represented as an infinite Fourier series, an infinite sum of functions that add to nearly zero for most of the box but constructively sum for some small region.

In a similar way we can add waves in quantum mechanics such that probability is small but for some localized region in a box. Could the Universe be such that when we have a region with low probability of finding a particle that there really exist this infinite set of waves that just happen to sum to zero at that spot at that time?

Could almost nothing "really" be something?

Say we have a large box. Say we have some function defined in this box that is square integrable. Say this function is small except for some small region in the box. This function could be represented as an infinite Fourier series, an infinite sum of functions that add to nearly zero for most of the box but constructively sum for some small region.

In a similar way we can add waves in quantum mechanics such that probability is small but for some localized region in a box. Could the Universe be such that when we have a region with low probability of finding a particle that there really exist this infinite set of waves that just happen to sum to zero at that spot at that time?

Could almost nothing "really" be something?