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From: hertz778@gmail.com (rhertz)
Newsgroups: sci.physics.relativity
Subject: Re: Gravitational time dilation HOAX along the years
Date: Tue, 17 Dec 2024 22:58:22 +0000
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Einstein wrote, in his 1911 paper:

......................................
3. Time and the Velocity of Light in the Gravitational Field

If the radiation emitted in the uniformly accelerated system K0 in S2
toward S1 had the frequency f2 relative to the clock at S2, then,
relative to S1, at its arrival at S1 it no longer has the frequency f2
relative to an identical clock at S1, but a greater frequency f1, such
that, to a first approximation

(2)                  f1 = f2 (1 + gh/c²)

******************************************************************************

(2')                  hᴾf1 = hᴾf2 (1 + gh/c²)


(2'')                 E1(1 photon) - E2 (1 photon) = hᴾf2 gh/c²


hᴾ: Planck's constant

S2 is a point on the z axis at a distance h of point S1, located at the
z origin.

Einstein described how a photon falling vertically from a height h,
under gravity acceleration g, gained energy gh/c². It meant that the
photon's frequency was blue-shifted while it fell due to gravity.

By that epoch (1911), he kept talking about clocks as reference of time.
By today standards and the use of ANY atomic clock, the frequency of the
EM energy is what counts in his theory. It doesn't matter what kind of
EM clock is, as it ONLY counts cycles/sec of such EM energy, either at
9.6 Ghz for Cesium, 1.4 Ghz for Hydrogen maser or ANY derived frequency
that is obtained by digitally down scaling the frequency. The same
formula applies to 9.6 Ghz oscillation or a derived 1 Mhz signal. Clocks
just COUNT pulses.


What was behind this simple formula was that photons HAD MASS. And that
such mass, at the height h, had a NEWTONIAN POTENTIAL ENERGY, The higher
the height h, the higher the newtonian potential energy of radiation.

He inferred (even when mumble something about it) that such extra energy
hᴾf2 gh/c² was MAGICALLY TRANSFERRED to the photon, on its way down.
Why?

Because in his deranged mind, ENERGY HAD TO BE CONSERVED between S2 and
S1. So, the photon is blue-shifted when falling down, and the extra
potential energy at S2 (not declared explicitly) is being transferred to
the frequency of the photon.


BUT, if you discard that EM energy HAS MASS, then the equation IS FALSE.

It means that hᴾf1 = hᴾf2  and that Δf/f₀ = 0 (ZERO).

So, there it goes the crappy theory of gravitational time dilation. It's
false, it's an hoax, and raised clocks ticks the same amount of pulses
per second, not caring about the height h.


In other words, t' = t, as far as gravitational time dilation story is
falsely narrated.