Everyone else has made excellent, well laid-out arguments against your 
position Edgar, but I will throw in another perspective. You ask whether 
two observers 'share the same common present moment'. However you don't 
define what that means exactly. If I imagine your scenario of two observers 
who aren't me then of course they seem to share the same moment, regardless 
of how far apart they are. To say they "don't share the same moment" would 
be like saying that one exists and the other doesn't at some point in time, 
right? But this is really begging the question about what a "point in time" 
is. You seem to be relying on an intuitive sense of time that is not bound 
to anything measurable (the hidden point of my tongue-in-cheek 'U-time'). 
How need to define what you mean by "sharing the same moment" and you need 
to show how it is to be measured. I submit that the only method of making 
such a determination is by means of something that measures clock time. For 
example, a clock! And you already agree that clocks will show that the 
observers don't precisely agree about the simultaneity of events. 

In fact, to make the whole situation clearer, it is better not to use 
observers or people as the objects said to share the same common present 
because observers persist in time and this makes things less clear. 
Instead, you should ask the same question about a momentary event like a 
pulse of light from a diode. Do the diodes themselves share the "same 
present moment"? Yes, whatever that means! Do the flashes occur 
simultaneously? Well you know the answer depends on the inertial frame of 
reference. Substituting a mental event (the thought "I am here now") for 
the light flash, we can see that two thinkers cannot have that thought at 
an objectively identical moment. All events can be timed using clocks, 
which after all cold be anything that has a regular cycle. There is nothing 
in space-time, including mental events, that is not an event that can be 
timed in this manner. What is confusing you is merely the persistence of 
the observer and the impossibility of imagining that both observers don't 
exist at any point in time you can imagine. But *what* observer? The 
observer is constantly changing, and the only way to see if they share the 
same moment is to time the changes in each using clock time. P-time is an 
ad hoc postulate to save your intuition of an all-embracing moment. It 
fails when you try to operationalize it.

Please, rather than reiterate your intuition, refute this point. 

On Saturday, December 28, 2013 10:57:18 AM UTC+11, Edgar L. Owen wrote:
> All,
> I haven't made any progress getting the idea of a common universal present 
> moment across so here's another approach with a thought experiment....
> To start consider two observers standing next to each other. Do they share 
> the same common present moment? Yes, of course. Any disagreement?
> Now consider those two observers, one in New York, one in San Francisco. 
> Do they share the same common present moment? In other words is the one in 
> San Fran doing something (doesn't matter what) at the exact same time the 
> one in New is doing something? Yes, of course they do share the same 
> present moment. Any disagreement?
> Now consider an observer on earth and an observer in some far away galaxy. 
> But with the condition that they share the exact same relativistic frame in 
> the sense that there is zero relative motion and the gravities of their 
> planets are exactly the same so that clock time is passing at the exact 
> same rate on both their clocks.
> Now are these two observers sharing the exact same present moment as well? 
> Note that we just extended the exact same relativistic circumstances of the 
> previous two examples so there can be no relativistic considerations. Do 
> these two observers also share the exact same present moment as well? Yes, 
> of course they do. Not only do they share the exact same present moment but 
> they also share the exact same clock time t value. Any disagreement?
> OK, if you agree then you have to take a partial step towards accepting my 
> thesis of a common universal present moment. You now must agree that there 
> is at least a common universal present moment across the universe for all 
> observers in the same relativistic frame.
> Agreed?
> Edgar

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