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One proof that zero point energy exist is through super cooling a chamber with compress gas. The great confinement of the molecule would intuitive tell you both its speed and position. However, the uncertainty principle prevents both speed and position from being known. At best only a statistical map of position can be known.
As temperature is reduced to zero, the molecules continue to move. The molecule does not occupy a single position at a single time. The molecule occupies all positions in the chamber. Cool stuff. The conclusion is infinite amount of energy must exist at zero point: Feynman calculated 108th power joules per cubic centimeter.
The helium gas is cool to -273 C. The helium remains liquid.
Zero point energy will transform everything. With unlimited energy the sky is the limit.
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