Re: definition of simultaneity and on the relativity of lenghts and times by a. einstein

[Eugene Shubert wrote]
> Albert Einstein wrote:
> > It might appear possible to overcome all the difficulties attending
> > the definition of "time'' by substituting "the position of the small
> > hand of my watch" for "time."
>
> That is correct Albert.
> Only defining time locally resolves many pitfalls.

[EL]
Yet how can we define that locality, and what length can we arbitrate
to limit and bound the local space from the non local space!
Set a Cartesian grid in a Universal 3D manifold and place a clock ate
every node (the intersection of three orthogonal axis) of unit
displacement as arbitrated for locality, and let it be one meter only.
If every clock was synchronous with all of the immediate 26 clocks in
the vicinity, then all of the infinite Universal space must be local.

>
> > And in fact such a definition is satisfactory when we are concerned
> > with defining a time exclusively for the place where the watch is
> > located; but it is no longer satisfactory when we have to connect
> > in time series of events occurring at different places, or--what
> > comes to the same thing--to evaluate the times of events occurring
> > at places remote from the watch.
>
> Here is your greatest blunder, Einstein. In order to understand
> special relativity fully and derive the theory elegantly, it's not
> necessary to fabricate or rely on the concept of simultaneity.
> http://www.everythingimportant.org/relativity/special.pdf

[EL]
Any event within the observable reach of humans must have happened at
whatever time, which must correspond to whatever the universal time
indicates. However, the problem was that of measurement within our
cognitive limitations' restrictions. We depend on spatial coincidences
to identify eventual conversion on the limit. However, if such a
spatial coincidence was remote to our observational position, we plead
for an associated temporal coordinate to be included in the remote
report. Since the remotely reported information cannot traverse the
"empty" space faster than _c_ (empirically verified) we prefer to use
electromagnetic waves mediated by vacuum
force-fields-vectors-fluctuations because that is the fastest way that
we can obtain such information from the remote event to the local
observation coordinate. Obviously, with a finite speed of information
traversing space as a modulated EM wave, the report must be dilated
such that the reported time of the event cannot match the time of the
arrival of that information. However, if the data carried by the
information informed the observer of multiple events with information
arriving through different paths, but that the information indicated
identical time readings, reported by universally synchronized clocks,
the events must be simultaneous.

Thus, the technical problem must be confined to the manufacturing of
clocks that can be synchronised side by side then tolerate being
accelerated to new coordinates within the observable universe, without
becoming significantly affected to the extent of running at a different
rate than the clock that was never accelerated in its gravitational or
inertial frame of reference.

One very practical method is to manufacture the highest _accuracy_
clocks and restrict _precision_ to the invariant significant figures
within the time window of precision validity.

Of course we are free to apply any corrective methods to limit the
accumulation of the insignificant variations to the sum that can cross
the threshold of significance, and that is by calculating the
collective kinetic effects that affect the clocks' rate of motion that
corresponds to the arbitrated time units.

If a remote synchronized clock was not an option, but through
triangulations a distance was calculable, and observation depended on
telescopic means of capturing visible information mediated by light.
Then the time of the event can be estimated by equating the spatial
interval with [ct].

It cannot be simpler.

EL

.

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