PeterDonis said:
No. I have said repeatedly that events in our past light cone are fixed and certain on all views (although I did not previously mention presentism, which is a possible exception--but see below). Certainly events in our past light cone are fixed and certain on the alternative view I proposed in the article. The question is whether any events other than our present event and its past light cone are fixed and certain.
In any case, my argument did not refute the claim that events in our future light cone are fixed and certain. It only refuted a particular argument that purports to claim that relativity requires events in our future light cone to be fixed and certain. I have explained this several times now.
...
Here is what I said in the article: Relativity does not require all events in 4-d spacetime to be fixed and certain.
Here are some things I explicitly did not say in the article:
I did not say that events in our future light cone are definitely not fixed and certain. (I only said relativity does not require that they are.)
I did not say that only our present event is fixed and certain. Nor did I say that it isn't.
I did not say that only some spacelike 3-surface containing our present event is fixed and certain. Nor did I say that it isn't. (I did propose an alternative that would say it isn't, except for our present event itself, but that's a different thing.)
I did not even say that relativity requires events in our past light cone to be fixed and certain. (I only said that this view is an obvious alternative that (a) makes sense, and (b) was not even proposed or considered by all the many people who have argued about the block universe.)
I hope this helps.
Thank you Peter, I appreciate your patience in all of this. I understand that it must get frustrating to have fielded such questions as these previously, gone to the trouble of writing an article that addresses these questions, and then have someone come along and raise the same old questions again.
I have read your article, but I didn't fully comprehend it, as is evident. The purpose of this thread is, in essence, an exercise in trying to understand it. I'm starting from a position where I have been taught that the BU = relativity, so I am only really familiar with arguments in favour of the BU. As with moving from a Newtonian picture to a relativistic one, I found that putting forward my own understanding and then having the errors and assumptions pointed out, helped me to understand, in a conceptual [but limited] way, what relativity says - apparently with a few added assumptions.
I think we were talking past each other a little up until this point. In the OP I tried to avoid the assumption that past
and future events are necessitated by saying past
and/or future. I think the problem is that I was using this interchangeably with the Block Universe which says that past
and future events are fixed and certain.
Am I correct in saying that relativity allows for the following possibilities:
- [Whole] Block Universe
- Past Block Universe - colloquially the "growing block"
- Future Block - we might call this a "shrinking block".
- Presentist
- An alternative based on events in the past light cone are fixed and certain.
I'm not actually familiar with any advocates for a "shrinking block", and I'm not sure it is genuinely a possibility, but I've included it here just for [possible] completeness. Is there another alternative, as per the 5th option there? Is this what you suggest in the article? I'm not sure I fully understand it, if so.
If the above possibilities are correct, and if they are taken together with your statement in the other thread:
PeterDonis said:
This also means there is no global concept of "now" in relativity.
Would this mean that we can rule out presentism?
If we rule out presentism, then wouldn't we be left with a universe which comprises past
and/or future events, so either:
past, present, and future
past and present
present and future
Some alternative which includes some past events, but not all?
The confusion being that I was conflating the 2nd and 3rd options with "the Block Universe", which is the first option.Hopefully, I've got that much correct. I still don't fully understand why the full block isn't necessitated. I think I can see the destination of your argument but I'm not yet, fully sure how to get there. Some of the further points below are key to that I think.
PeterDonis said:
It depends on what you mean by "presentism", and discussions of that view are too contaminated with vague terms like "real" for me to know what they are really saying. Also, the term "present" is ambiguous; on the alternative view I gave in the article, it means "your present event", but on many "presentist" views, it seems to mean "some spacelike 3-surface that contains your present event".
I appreciate the difficulty with such terms. If I were better versed I might be able to define it in more rigorous terms, instead I am left to try and describe around it, in the hope that I communicate what I mean.
I think of presentism in the context of Newtonian physics, the global/Universal "now" which would necessitate absolute simultaneity. Sometimes its helpful to think of this juxtaposed with the Block Universe, the growing block, and the shrinking block.
I'm not entirely sure how to define it rigorously.
PeterDonis said:
I am using the term "fixed and certain" as a general term that can be used by any viewpoint; what each viewpoint does is specify exactly which events are fixed and certain.
I think I get you. I think I struggle a little with defining "fixed and certain" as being those events that are in the past light cone of an observer and then applying this to the future light cone of the observer, as the block universe does. But maybe, we can just think that all events in a block universe are in the past light cone of "the end of the universe"?
If the term "fixed and certain" can be applied to all of the different models, and each of the models describes a different picture of the Universe, do we need another term for describing what those different models say.
"Fixed and certain" seems to tell us what we can definitively say about events in the past light cone, but it doesn't distinguish between a presentist interpretation or the BU interpretation, or btween the BU interpretation and a growing block interpretation. Each of these says something somewhat different about past and future events.
I have started using the term comprise so as to avoid the word "real".
PeterDonis said:
Sorry to shout, but THIS IS EXACTLY THE ARGUMENT I REFUTED IN MY ARTICLE. Have you really read it? Really? Are you sure you don't need to go back and read it again?
No. You have repeatedly failed to understand what I actually said in the article.
No worries, I get that this must be incredibly frustrating. That genuinely isn't my intention. I have gone back and read the article again and I think I understood a bit more this time, but I'm still not certain I fully grasp it. As I mention above, I think I can see the destination, I just haven't progressed through the route to get there. This thread is intended to be the means of getting there.
PeterDonis said:
No, that's not what they can calculate after the fact. No calculation can tell you "when" some distant event happened according to some observer. That is something you assign by choosing coordinates. It has no physical meaning whatsoever.
What observers can calculate after the fact are the causal relationships between events: which events are in which other events' past or future light cones, which events are spacelike separated from which other events. Those things are invariants and have physical meaning. But in order to do those calculations, all of the events the calculations apply to must already be in the past light cone of the person calculating them. Which means nobody ever has to treat any events other than those that are in their past light cone as fixed and certain in order to do calculations. Which I pointed out in my article.
This is the part where the gap in my understanding lies. I will try to outline how I have understood the explanation and maybe you can identify where I am going wrong. Again, I can see the destination, but I was lead to believe something else.
I find it helpful to talk in terms of thought experiments because it helps to make things a little less abstract.
=============================================================================================
Returning to this point after having written the below. It is written in a very "matter of fact" tone, but that is just because that is how it flowed. I figured it would be easier to come back and point this out, rather than try to go through the whole thing and try to edit the language to make it less so. As I say, this is just how I have understood the arguments that were put to me, so I am very much open to correction.
==============================================================================================If we think about Albert Einstein and Hendrick Lorentz moving relative to each other. Albert is on the platform and Hendrick is on the train. Both know the theory of relativity inside out. Albert is located at point M, which is midway between two light sources L(eft) & R(ight), which are at rest relative to him. As Hendrick whizzes along the track, in the direction of L to R, he passes Albert at point M. A few moments later, Albert observes two simultaneous flashes of light coming from each light source. That is, photons from both L and R arrive to his location simultaneously. Hendrick, on the train, observes the light from R first and the light from L second.
Afterwards, both retire to their respective studies to perform their calculations and see if they can arrive at any additional information. Both can perform Lorentz transformations to build a picture of things from the relatively moving reference frame.
Based on the information from his own reference frame, Albert calculates that the light emission events from L and R happened prior to the photons arriving to his location. All of those events are now in his past light cone, but he can calculate that those light emission events must have occurred earlier, in order to arrive to his location when they did. That is, the emission events must have been fixed and certain prior to the photons arriving to his location and being in his past light cone. At the time, he could not know this, but afterwards he can calculate that it must have been so. The reason being, photons can only be emitted from events which have happened or are fixed and certain. Events which are not fixed and certain, cannot emit photons.
If "fixed and certain" doesn't work in this context, then I will need to find another term to describe what it is that I am saying.
This doesn't tell us anything particularly interesting. This would have been the case in the Newtonian picture also. It is when Albert performs the Lorentz transformation that we acquire additional information. One additional point that Albert notes about the emission events form L and R, is that the events must have coincided with the moment when Hendrick was at point M. This is important, because it gives us a non-clock related reference point.
Albert's Lorentz Transformation
Albert performs a Lorentz transformation to get the picture according to Hendrick's reference frame. As he expected, he notes that the light from the two light sources did not arrive to Hendrick simultaneously, instead, light from R arrived first and light from L arrived second. Again, nothing surprising here. Where we get the additional information, is when Albert calculates when the emission events must have happened according to Hendrick.
According to Hendricks frame of reference, the emission events were not simultaneous, not just because the light didn't reach him simultaneously but due to the relativity of simultaneity. According to Hendrick's frame the emission event from R happened before the event from L. The additional information that Albert gets from this is the location of Hendrick when these events happened.
According to Albert's frame, the emission events happened at the precise moment that Hendrick was located at point M. However, according to Hendrick's frame, the emission event from R must have happened prior to his arrival at M. The same is true for Henry as it is for Albert, photons can only be emitted from events that have happened or events which are fixed and certain. Events which are not fixed and certain, or have not happened can not emit photons.
This means, Albert must agree that prior to Hendrick's arrival at point, the emission event from R must have been fixed and certain, otherwise Hendrick wouldn't have observed the photon where he did (in his own reference frame) and his theory of relativity would be inaccurate.
This is what leads to the conclusion that the universe comprises future events because the emission event from R was in Albert's future in the moments prior to Hendrick's arrival at point M, but it must have been fixed and certain in order to emit a photon.