Doppler Effect and Harmful Radiation

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Traveling fast enough against a photon can shift its wavelength through the Doppler effect, potentially making it harmful. To achieve this, one would need to reach a speed that results in a blue shift, converting visible light into ultraviolet or X-ray radiation. Calculations indicate that a speed ratio (beta) of approximately 0.999996 is required to increase photon energy by a factor of 500. However, even before reaching this speed, the radiation would already be harmful. The discussion highlights the relationship between speed, photon energy, and potential health risks from radiation exposure.
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Hey!

If one travels fast enough against it, will a regular photon of visual wavelength become harmful due to the doppler effect?
 
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hmm, interesting.

wonder how fast you'd have to go to blue-shift a light photon into a UV or x-ray photon. should be simple enough to calculate. The answer should tell you if it's possible or not.
 
orange said:
Hey!

If one travels fast enough against it, will a regular photon of visual wavelength become harmful due to the doppler effect?

yes
ordinary sunlight is around 2 eevee and Xray is around 1000 eevee.

so you just need a speed beta which makes the doppler ratio be around 500. Here is the relativistic doppler formula, squared both sides to make it easier to write.

250000 = (1+beta)/(1-beta)

if you solve this for beta you get
beta = 249999/250001

so that is what fraction of the speed of light you would have to go
in order to boost the photon energy by a factor of 500

but well before that it would be harmful
 
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