Jesse,

As I read this it's simply a way to define what your 'same point of 
spacetime is' but that doesn't answer my question of how it predicts that 
the end point will be such a same point of spacetime from the fact that the 
start point was?

You seem to be just defining the conclusion rather than calculating it from 
the initial conditions as I asked.

Edgar



On Wednesday, February 5, 2014 2:54:39 PM UTC-5, jessem wrote:
>
>
>
> On Wed, Feb 5, 2014 at 2:35 PM, Edgar L. Owen <[email protected]<javascript:>
> > wrote:
>
>> Jesse,
>>
>> Let me ask you this simple question. You agree that there is "a same 
>> point in spacetime" that both twin meet at and in which their clock times 
>> are different.
>>
>> How does your theory, or relativity, account for or predict this same 
>> point with different clock times starting from when the one twin leaves on 
>> his journey?
>>
>> Is there any choice of frames which computes this result in relativity 
>> theory? If so what?
>>
>
>
> Yes, all of them predict it. In the context of any allowable choice of 
> coordinate system, if two events occur at exactly the same position and 
> time coordinates, then that leads to the conclusion that they must have 
> occured at the "same point in spacetime" in a coordinate-independent sense 
> (understood either in terms of spacetime geometry or in terms of the 
> operation definition I mentioned). So if any given frame assigns the same 
> space and time coordinates to a pair of clock-readings for each twin, like 
> "twin A turns 30" and "twin B turns 40", that implies these events happened 
> at the same point in spacetime, and it always works out that other frames 
> assign this pair of events identical coordinates too.
>
> Jesse
>
>  
>
>>
>> If not then we must assume a separate kind of time in which it is true. 
>> That is p-time.
>>
>> I think this question gets to the crux of the disagreement....
>>
>> Edgar
>>
>> On Wednesday, February 5, 2014 1:40:41 PM UTC-5, jessem wrote:
>>>
>>>
>>>
>>> On Wed, Feb 5, 2014 at 10:53 AM, Edgar L. Owen <[email protected]> wrote:
>>>
>>>> Jesse,
>>>>
>>>> A couple of points in response:
>>>>
>>>> 1. Even WITHOUT my present moment, the well established fact of a 4-d 
>>>> universe does NOT imply block time nor require it. Clock time still flows 
>>>> just fine in SR and GR.
>>>>
>>>
>>> I would agree that the 4D mathematics of relativity theory doesn't 
>>> require the ontology of block time, though I don't see any alternative to 
>>> block time besides some sort of "metaphysically preferred" definition of 
>>> simultaneity (which wouldn't contradict relativity as long as long as this 
>>> definition wasn't "preferred" by the measurable laws of physics). I don't 
>>> know what you mean by "clock time still flows" in SR and GR--it only 
>>> "flows" in the sense that its value is different at different points along 
>>> a worldline, the same sense in which we could say that "distance from the 
>>> end of the wire" flows along a piece of wire (i.e. the value of "distance 
>>> from the end of the wire" is different at different points along the wire).
>>>
>>>
>>>  
>>>
>>>> No clock time simultaneity of distant (relativistic is a better 
>>>> descriptor) events does NOT imply time is not flowing at those events. 
>>>> This 
>>>> is quite clear. It's a fundamental assumption of relativity that time 
>>>> flows.
>>>>
>>>
>>> What mathematical element of relativity corresponds to your notion of 
>>> "flow"?
>>>  
>>>
>>>>
>>>> In fact relativity itself conclusively falsifies block time as it 
>>>> requires everything to be at one and only one point in clock time due to 
>>>> the fact that everything always travels at the speed of light through 
>>>> spacetime. I find it baffling that so many can't grasp this simple fact.
>>>>
>>>
>>> Huh? "Everything moves at the speed of light through spacetime" is not 
>>> how most physicists would describe relativity, and those few who do are 
>>> just speaking in a colorful way about the magnitude of the 4-velocity 
>>> always being equal to c. And the 4-velocity is just defined as a vector 
>>> whose components give you the rate of change of the spacetime coordinates 
>>> t,x,y,z relative to proper time. 
>>>
>>> Nothing about this notion is contrary to the notion of block time--as an 
>>> analogy, if we have a piece of wire embedded in a block of ice and forming 
>>> some type of curved shape, and we use an x,y,z coordinate system to 
>>> describe different points within the block and on the wire, then at every 
>>> point along the wire we can define a vector whose components give the rate 
>>> of change of x, y, z coordinates relative to "proper length" at each point 
>>> (where "proper length" refers to the distance between that point and the 
>>> end of the wire--or some point along the wire marked "0"--as measured along 
>>> the the wire itself). And in fact it's not hard to show (I can give you the 
>>> derivation if you like) that using these purely spatial definitions, the 
>>> magnitude of *this* vector must always be 1 at every point on the wire, 
>>> regardless of the shape of the wire. Would you describe this situation by 
>>> saying "every wire-point moves at the same speed through the block of ice", 
>>> even though we are talking about wires that from our point of view are 
>>> completely static, frozen in a particular shape within the block?
>>>
>>>
>>>  
>>>
>>>>
>>>>
>>>> 2. You complain about me not answering a few of your questions. As I've 
>>>> explained before I have limited time to post here because running my 
>>>> business keeps me very busy.
>>>>
>>>> And please note that a lot of my posts have received NO answers at all 
>>>> either, e.g.
>>>>
>>>> a. Several major posts, some as new topics, on my theory of how 
>>>> spacetime emerges from quantum events. Apparently this has just sailed 
>>>> over 
>>>> everyone's heads with not a single meaningful comment, not even any 
>>>> negative ones which is pretty surprising among this crowd! Apparently no 
>>>> one is interested in understanding the nature of time at the quantum level?
>>>>
>>>> b. My post on a solution to Newton's Bucket. Also no relevant responses.
>>>>
>>>> c. Several thought experiments lending very strong support to my 
>>>> present moment theory, posted just a couple days ago. Again zero response. 
>>>> And weren't those directed to YOU?
>>>>
>>>> d. Several thought experiments designed to dig into the fine points of 
>>>> various aspects of time dilation. Again only a vague comment or two on 
>>>> 'asymmetry' but zero actual analysis of the points I raised.
>>>>
>>>> e. Several other new topics on basic issues of science and 
>>>> epistemology. Again no relevant responses.
>>>>
>>>
>>> Those posts were not part of an ongoing discussion with *me*, though. 
>>> I'm not asking you to respond to every argument I make, just to respond to 
>>> posts that are part of ongoing discussions with you, in which I raise 
>>> serious difficulties with arguments you have presented to me. And I don't 
>>> mind if you take your time in getting back to me, but it is rather 
>>> suspicious when you continually ignore my requests to address specific 
>>> issues I've raised with you, even when you do apparently have time to 
>>> respond to other posts of mine. 
>>>
>>>  
>>>
>>>>
>>>> As for your comment that "you have no idea what moving in clock time 
>>>> could mean" pull your head out of your physics books and watch your watch 
>>>> for a little while and see if the hands are moving. If not, you are in 
>>>> block time.
>>>>
>>>
>>>
>>> So does your argument for "movement in clock time" depend on our 
>>> conscious perceptions, rather than any sort of well-defined quantitative 
>>> measurements? It's not obvious to me that my perception of movement is 
>>> anything more than a mental comparison between what I'm seeing now and my 
>>> very short-term memory of what I was seeing half a second or less 
>>> earlier...and of course the idea of comparing memories or other records 
>>> with current observations still makes perfect sense in a block time view. 
>>>
>>> I am interested in the issue of the difference between conscious 
>>> perceptions ("qualia" as philosophers refer to them) and objective physical 
>>> facts, and I have considered the possibility that if there is a "theory of 
>>> consciousness" of the type that the philosopher David Chalmers discusses, 
>>> then perhaps the "flow of time" would play a more fundamental role there 
>>> than it does in physics. But I don't see that this implies any *unique* 
>>> subjective present--if I can imagine a multiverse where different versions 
>>> of me are having different experiences, I can equally well imagine that 
>>> there are different mes-at-different-ages having distinct experiences, each 
>>> of them experiencing their own "flow" of time...it'd be a bit like a series 
>>> of TV screens which are each playing the same movie, but where each screen 
>>> is one frame ahead of the screen to its left, so screens at sufficiently 
>>> far-apart positions can be showing completely different parts of the movie.
>>>
>>> Jesse
>>>
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