El martes, 12 de julio de 2016, 11:02:20 (UTC-4), tjrob137 escribió:
> On 7/12/16 7/12/16 9:20 AM, kenseto wrote:
> > Simultaneity of two
> > events can only be measured by an observer in the frame of the two events and
> > at equal distance from the two events. An outside observer cannot determine
> > the simultaneity of two events in different frames.
>
> This is just plain not true.
>
> Events do not determine a frame, every event can be observed, and related to,
> EVERY inertial frame (and all locally-valid non-inertial coordinates, too).
>
> My context is the flat manifolds of SR. In some manifolds of GR
> this is not true.
>
> An observer at rest in any inertial frame can OBSERVE whether a given pair of
> events is simultaneous in that frame. In general this requires a clock
> pre-positioned at the location in the frame where the event will occur, and of
> course the clocks must be synchronized in the frame. Then it is simply a matter
> of recording the time on the co-located clock when each event happens, and then
> comparing the two time values for equality.
>
> That is what we mean by "simultaneous" in an inertial frame. This
> can be done for ANY pair of events and ANY inertial frame.
>
You are using here the 1905 Einstein definition of *time* relative to what he
denotes as a “stationary system” of Cartesian coordinates (with Euclidean
geometry), in which the equations of Newtonian mechanics hold good.
Unfortunately, you are taking for granted that the *stationary system* concept
of 1905 Einstein's Relativity (what I denote as 1905R) is exactly the same of
the today SR *inertial frame* one. Your behavior is a total contradictory one,
using the 1905R *time* in a context very different from the original one based
on the following two postulates (literal 1905 text):
Postulate 1. [ the same laws of electrodynamics and optics will be valid for
all frames of reference for which the equations of mechanics hold good ]
Postulate 2. [ Any ray of light moves in the "stationary" system of coordinates
with the determined velocity c, whether the ray be emitted by a stationary or
by a moving body. Hence velocity=light path/time interval , where time interval
is to be taken in the sense of the definition in Sec. 1 ]
BOTH postulates find today a HUGE experimental support with the very successful
GPS operation since already almost four decades. With Cartesian coordinates and
Euclidean geometry, all GPS receptors are resolving every instant the following
Newtonian system of equations:
(x-x_i)^2+ (y-y_i)^2+ (z-z_i)^2= (ct-ct_i)^2
where (x, y, z) is the position of the receptor at the same reception instant t
of signals transmitted from i different satellites (at least 4 ones) with
position (x_i, y_i, z_i) at time t_i.
The signals have then always the same uniform velocity c, totally independent
on the satellite (or receptor) velocities in the GPS ECI stationary system. The
light velocity c is derived from 1864 Maxwell's equations holding good in the
same frame of reference where the equations of mechanics do the same (Postulate
1), being also independent on the source velocity (Postulate 2), i.e. holding
good both 1905R Postulates.
The objective (experimental) existence of the relative space and time defined
by 1905R, finds then with the GPS a direct and extraordinary huge support,
having nothing to do with the *space-time* of today SR and its symmetrical
assumed properties in flagrant contradiction with 1905R postulates.
RVHG (Rafael Valls Hidalgo-Gato)