Re: Newton: Photon falling from h meters increase its energy.

On Wed, 15 Jan 2025 6:16:51 +0000, Sylvia Else wrote:

On 15-Jan-25 1:41 pm, LaurenceClarkCrossen wrote:

On Wed, 15 Jan 2025 3:02:16 +0000, Sylvia Else wrote:
>

On 12-Jan-25 1:16 am, rhertz wrote:

Under Newton, a photon has gravitational mass m, for which it's affected
by gravity.
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1) A photon with energy E, falling under gravity effects from height h,
increases its energy by an amount
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ΔE = +mgh
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Using the equivalence m = E/c^2, its energy when it reaches ground is E
+ ΔE:
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E + ΔE = E (1 + gh/c^2)
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Using Planck's equivalence E = hf, it gives
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f + Δf = f (1 + gh/c^2)
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Then, under Newton, the frequency change is
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Δf/f = +gh/c^2
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The frequency of the photon increase by falling, and is blue-shifted.
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On the other way around, if a photon is escaping from ground, at an
height h its frequency has decreased by
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Δf/f = -gh/c^2 (red-shifted)
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******************************************************
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No relativity here. Only requires to accept the existence of
gravitational mass and a given equivalence mass-energy.

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The problem is that this doesn't work. Two observers at different
heights would see differing numbers of waves passing their respective
locations per unit time. The observers would conclude that waves were
accumulating between their two locations, or somehow just vanishing.
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Sylvia.

This is a problem for you only because you want to pretend that light
speed is constant while it is affected by gravity. For that, you invoke
non-Euclidean geometry, which Python just pointed out can't accomplish.

>
How does letting the speed of light vary solve the problem of
accumulating waves?
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Even in situations where the speed of light does vary, such as when it
enters a medium, we don't see changes in the frequency, since that would
again create the problem of accumulating waves.
>
Sylvia.

Waves accumulate, and that's called compression waves. That's not a
problem. It is exactly when light enters the medium of air from the
vacuum of space that we see the change in frequency as compression waves
form. Otherwise, we would not know that the relative speed of the Sun
and Sirius is 5.5 km/sec.