On 4/25/2020 3:33 PM, Alan Grayson wrote:


On Sunday, January 6, 2019 at 12:53:52 AM UTC-7, Brent wrote:

    To measure small things you need comparably short wavelengths. If you
    make a photon with a wavelength so short it can measure the Planck
    length it will have so much mass-energy that it will fold spacetime
    around it and become a black hole...so you won't be able to use it to
    measure anything.

    Brent


I understand the BH issue. But suppose we want to measure the diameter of a proton and use photons of large wave length, say of radio frequency. If we're looking for a shadow on a screen, why won't the large wavelength leave a discernible shadow of the proton? Or is it the back scattering we look for? Same question; that is, why must the impinging wavelength be of comparable length to measure a physical object of the same approximate length? TIA, AG

If you use a wavelength that is not shorter than the dimension you're measuring your resolution is just the wavelength.  The waves refract around the object so you can't resole edges.

Brent

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