On Mon, Jan 27, 2014 at 8:22 AM, Edgar L. Owen <[email protected]> wrote:

> Brent,
>
> I don't think my statement is confused. Your response is ambiguous because
> it doesn't specify frames of reference correctly.
>
> The object's clock DOES tick slower according to the external observer's
> clock, but obviously not by the object's OWN comoving clock. It is of
> course ACTUALLY objectively ticking slower because it is falling into a
> gravity well which is an absolute, not a relative phenomenon.
>

No it isn't, not in the theory of relativity! Maybe you believe it's
absolute since you believe in an absolute "present moment", i.e. an
absolute truth about which pairs of events are simultaneous. But in
relativity one can use many different coordinate systems with different
simultaneity conventions, and they are all considered equally valid (you
can use the same laws of physics in each of them to get predictions about
which events locally coincide, and they will all make the same predictions
about such local events).

Say the falling observer sets his clock to read 0 seconds at the moment he
passes the hovering observer, who also sets his clock to read 0 at that
moment. Then according to one definition of simultaneity, it might be true
that the event of the falling clock reading 50 seconds is simultaneous with
the event of the hovering clock reading 100 seconds--in this coordinate
system the falling clock is ticking slower as it travels deeper into the
gravity well. But one could certainly design a different coordinate system
with a different definition of simultaneity, where the event of the
hovering clock reading 100 seconds is simultaneous with the event of the
falling clock reading 150 seconds (assuming the falling clock makes it to
150 seconds before hitting the singularity)--in this coordinate system it
would be the distant hovering clock that's ticking slower, not the falling
clock.

To emphasize: IN RELATIVITY THERE IS NO OBJECTIVE TRUTH ABOUT WHICH OF TWO
DISTANT CLOCKS IS TICKING SLOWER. If you disagree with this, you are
getting confused between how things work in your own personal theory of a
"universal present" (which seems to be entirely faith-based, since you
never explain how to define "true" simultaneity experimentally) and how
things work in mainstream relativity.

Jesse

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