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1) We're 'within' the heliosphere, so, when you say 'propagating from', where specifically are you talking about?
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"to Earth's surface"
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2) 'Waves' is too ambiguous. The Sun generates the entire electromagnetic spectrum, which can be represented either as photons or waves. Only a very small percentage of the overall energy can penetrate Earth's atmosphere. So we need specificity.
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I had other plans for today.
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3) Any travel time is limited to the speed of light, so anything 'immediate' is automatically ruled out as a violation of physics. Nothing on Earth can be experienced any sooner than eight minutes from the time something occurs on the Sun.
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condescension
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4) Is what you're talking about limited to the Equator? And you understand that the position of the equator, with respect to the Sun, changes every day?
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condescension
I'll have to get back to you on this one.