EINSTEINIANA: GRAVITATIONAL TIME DILATION

http://student.fizika.org/~jsisko/Kn...Morin/CH13.PDF
David Morin (pp. 2-4): "The equivalence principle has a striking
consequence concerning the behavior of clocks in a gravitational
field. It implies that higher clocks run faster than lower clocks. If
you put a watch on top of a tower, and then stand on the ground, you
will see the watch on the tower tick faster than an identical watch on
your wrist. When you take the watch down and compare it to the one on
your wrist, it will show more time elapsed. (...) As seen in frame S,
when the receiver and a particular pulse meet, the next pulse is a
distance ct_s behind. The receiver and this next pulse then travel
toward each other at relative speed c+v (as measured by someone in S).
(...) This GR time-dilation effect was first measured at Harvard by
Pound and Rebka in 1960. They sent gamma rays up a 20m tower and
measured the redshift (that is, the decrease in frequency) at the
top."

Question: What is the relative speed of the receiver and "the next
pulse" as measured BY THE RECEIVER?

Answer given by Newton's emission theory of light: c+v

Answer given by Einstein's general relativity: c+2v

Neither answer is compatible with the prediction that "when you take
the watch down and compare it to the one on your wrist, it will show
more time elapsed". Moreover, it can be shown that both answers
contradict Einstein's 1905 constant-speed-of-light postulate.

Given the formula:

(frequency) = (speed of light)/(wavelength)

the Pound-Rebka experiment confirms the answer c+v given by Newton's
emission theory of light and refutes the answer c+2v given by
Einstein's general relativity.

David Morin's text referred to above reappears as Chapter 14 in:

http://www.people.fas.harvard.edu/~djmorin/book.html
Introduction to Classical Mechanics With Problems and Solutions
David Morin, Cambridge University Press

Pentcho Valev