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== Semi-protected edit request on 25 April 2022 ==

{{edit semi-protected|Time|answered=yes}}
Please Change Current View to Submitted View:

Current View:
The operational definition of time does not address what the fundamental nature of it is. It does not address why events can happen forward and backward in space, whereas events only happen in the forward progress of time.

Submitted View:
The operational definition of measured time does not address what the fundamental nature of Time is. The operational definition of measured Time does not address why changes/events can happen, or whether they can happen forwards and backwards in spacetime. Physicists operationally define measured time as the progression of changes/events from the past to the present into the future. Change is all about the comparison of something made different to what it currently is; the act or instance of making or becoming different, whether physically or temporally respectively. Consequently, if a system is changing, it has an operational measure of time. Alternatively, if a system is unchanging, it has no operational measure of time. In our world the happening of changes/events assumes that there is an 'arrow of time'. You cannot change something backwards, due to the theory of ]. Operationally, Time can be best expressed as providing for measured change.

However the fundamental nature of Time is best expressed as the providing for the allowance/potential of change. Basically, Time is a constituent of spacetime and it is all around us. Time is considered to be the fourth dimension of reality, used to describe changes/events in three-dimensional space. Yet it is not something we can see, touch, or taste, but we can measure its passage. The approach of philosophy to Time differs from that of physics. Whenever these differences are disregarded there is a danger to use the same term for differently perceived phenomena and then false conclusions may be drawn. In general, physics operates with actual time concepts, whilst philosophy generally considers time as a potential form of existence.<ref>{{cite book |last=Buccheri |first=R. |date=2003 |title=The Nature of Time: Geometry, Physics and Perception |url=https://citations.springernature.com/item?doi=10.1007/978-94-010-0155-7_41 |location=Chapter:Potential and Actual Time Concepts |publisher=KJuwer Academic Publishers |page=417 |isbn=978-1-4020-1201-3}}</ref>. ] (]) 16:04, 25 April 2022 (UTC) ] (]) 16:04, 25 April 2022 (UTC)
{{Reflist-talk}}
:] '''Not done:'''<!-- Template:ESp --> That is too much detail for the lead. Further elaborations exist in the body of the article. ] (]) 12:13, 26 April 2022 (UTC)
::When will the edit be published in Misplaced Pages?
::If it its is too much detail, the second paragraph can be moved to be a separate subsection under either the section of Philosophy or Perception.
::If so, do I have to provide for another edit? How do I proceed? ] (]) 23:22, 26 April 2022 (UTC)

== Add new subsection "The Fundamental Nature of Time" under section "Philosophy" ==
Please Add Submitted View to 'Philosophy' section:

Submitted View: The Fundamental Nature of Time
The operational definition of measured Time does not address what the fundamental nature of Time is. The fundamental nature of Time is best represented as the allowance/potential of change. Basically, Time is a dimensional constituent of the modeling for spacetime and it is all around us. Dimensionally modeled Time is considered to be the fourth dimension of reality, used to describe changes/events in three-dimensional space. And while we can indirectly experience the reality of temporal differences, the nature of Time is not something we can immediately comprehend via our five senses. The approach of philosophy to Time differs from that of physics. Whenever these differences are disregarded there is a danger to use the same term for differently perceived phenomena and then false conclusions may be drawn. In general, physics operates with actual time concepts, whilst philosophy generally considers time as a potential form of existence.<ref>Buccheri, R. (2003). The Nature of Time: Geometry, Physics and Perception. Chapter: Potential and Actual Time Concepts: KJuwer Academic Publishers. p. 417. ISBN 978-1-4020-1201-3.</ref>

The dynamic of 'change' is all about the comparison of something made different to what it currently is; the act or instance of making or becoming different, whether physically or temporally respectively. Consequently, if a system is changing, it has an operational measure of time. In our world the happening of changes/events assumes that there is an 'arrow of time'. You cannot change something backwards, due to the theory of causality. Operationally, Time can be best expressed as providing for a measured change. However, the measured change/event only happens within the calculable measure of our conscious memory.

Alternatively, if a system is unchanging, it has no operational measure of time. Non-operationally, Time can be best expressed as providing for the allowance/potential of change. In a sense, a thing that exists potentially does not exist, but the potential transition does exist. The definition of potentiality is the ability to develop or come into existence. Therefore, the nature of Time is its relative potentiality; potential to transition into a ] Time existence from a ] Time reality. Also referred to in ], reality can only be realized as existent in Present Time, it is only the duration of measured Time that is the illusion.] (]) 14:26, 27 April 2022 (UTC)
{{Reflist-talk}}

== Incorrect phrasing (31 July 24) ==

Hello. I'm not used to complex modifications in Misplaced Pages, so I prefer to put my remark here.

In the "Definition" section, it is written that "Events can be separated in many directions in space, but if two events are separated by time, then one event must precede the other, and all observers will agree on this."


This seems to be incorrect, or at least misleading for a non-expert. Indeed, the time-separation claim is correct only for two events which are in their respective light-cones, for which the notion of past an future is unambiguous. I.e., if they are separated by a time interval. This is not anymore the case if they are out of their respective light-cone, i.e., separated by a space interval.
== Perception of time ==


] (]) 17:03, 31 July 2024 (UTC)
The Time article shows a diagram representing 4-dimensional spacetime with the "present" in 3-dimensions. (For simplicity, this is shown as 3-dimensionsal spacetime with the "present" in 2-dimensions.)
::Another way of putting this could be to view us as 4-dimensional entities passing through a 3-dimensional universe at a particular rate ("the flow of time") in which light (i.e. our ability to perceive things) were located, and that these 3-dimensions could be distorted by high-mass objects (e.g. gravity's effect e.g. black holes). This particular rate ("the flow of time") '''through''' the 3-dimensional universe could be converted to movement '''within''' the 3-dimensional universe, until the speed of light is reached, at which point the rate (“the flow of time") drops to zero. Again, perhaps it's easier to show this as 3-dimensional entities passing through a 2-dimensional universe. This would be consistent with our perceived flow of time and the scientific views espoused within the article, and therefore not comprise new research. Would it be helpful to add this other way of putting things to the body of the article? ] (]) 13:55, 13 July 2011 (UTC)


:I'm not sure this is necessarily as misleading as you describe: certainly, two observers would need to be in the same light-cone to be able to agree or otherwise ascertain anything meaningful? That is, for every possible observer where the notion of agreement is physically meaningful, this will be the case. ]] 17:27, 31 July 2024 (UTC)
*Contributions to encyclopedia articles need to be ] from ]. Blogs are for ]--] (]) 14:03, 13 July 2011 (UTC)


:I wrote that sentence. I am not clear on what you think is incorrect or misleading. I will break it down. Here is what I wrote
== Proper/coordinate time ==
:1. Events can be separated by space or by time. (or as a special case be directly on the light cone, which is both, but I left this out for simplicity).
:2. If two events are separated by time, then one event must precede the other and all observers will agree on this. (This is a proposition of special relativity - in general relativity it is not quite true as there are ] but no such curves have been observed empirically)
:Here is what you wrote:
:1. "The time-separation claim is correct only for two events which are in their respective light-cones" - I am not sure how an event can be outside its own light cone? The light cone is defined relative to the event. So this boils down to "The time-separation claim is correct."
:2. "The notion of past and future is unambiguous." - not quite, as mentioned there are the CTC's which have never been observed. But if you fix a point on such a loop then past and future are unambiguous.
:3. "If they are out of their respective light-cone, i.e., separated by a space interval, they are not separated by a time interval." (paraphrased) - this is logically equivalent to my (1) ] (]) 01:54, 1 August 2024 (UTC)


:: Thanks a lot for taking the time to answer to me.
Should their be some discussion of this distinction in the article? ] (]) 10:07, 23 November 2011 (UTC)


:: First, let me say that I had in mind how unfamiliar readers would read the text, not experts. This maybe caused some confusion.
:Perhaps not a discussion here, but at the end of the section ], immediately before the first subsection, a short by-the-way mention with wikilinks to the relevant articles ] and ]. - ] (]) 10:54, 23 November 2011 (UTC)


:: I have in mind an example as the sun stopping to shine. The sun is at a bit more than 8 light-minutes. Now, let say that I'm on Earth, and I describe this event with Minkowski coordinates centered at me now, for which the sun stops to shine at 30s (for instance). This is typically a case where this event is not in the future of the event "here and now for me", from a special relativity view, which is typically what could be confusing for an unfamiliar reader.
== Should we start with the Philosophy? ==


:: In this context, I think that I fundamentally misunderstood the current wording. From you answer, I now understand that you used separated in space for space interval, and separated in time for time interval, which was not obvious for me. In this case, I agree with your wording. However, as the previous sentences were talking about time as a coordinate, and then time as measured by the clock of each observer, I didn't understand it that way, and had the impression that the example I just gave could be encompassed in "Events can be separated in many directions in space, but if two events are separated by time", since for my Minkowski coordinates, they are separated by time (in addition to being separated by space).
I can't feel we should start with the philosophy first, you can't measure time unless you have worked out what it is, a header is not the same as a definition. Maybe time measurement should be a seperate article? ] (]) 09:53, 2 December 2011 (UTC)


:: For the first answer, I would refer to my example, where the two events "here and now for me" and "sun stops shinning" are not in the same lightcone.
:I don't think that would be a good idea. Both in science and in everyday life, scientists and John Doe have (unanimously) worked out that time can only usefully be defined as what is read on a clock (from wristwatch to cesium atom) — see also ]. So time is essentially measurement bound. Putting philosophy first would give heavy ] to a (mutually disagreeing) body of practically useless and therefore much less relevant points of view. It's actually the philosophers who never managed to "work out what it is", so to speak. - ] (]) 10:19, 2 December 2011 (UTC)
::But time is relative to culture and environment, take the Mayans who look at time as a never ending cycle of segments determined on Solar and Lunar calendars. This was the standard way of looking at things throughout pre-history. We retain this structure even now only we say a solar year as a standard unit of measuring time. Despite the "fact;" We reset it each January! ] (]) 23:31, 4 December 2011 (UTC)
:::Sure, the Sun and the Moon can be (and are) used as clocks, so they can be used to define time. Look at our units like days, months and years (and their many flavours). These useful clocks/units, together with, for instance, heart beats, fit nicely in the aforementioned list of clocks (from wristwatch to cesium atom). That probably explains why the article starts with the ''history'' section. - ] (]) 07:46, 5 December 2011 (UTC)


:: For the second answer, I hope I have solved our mutual misunderstanding: I was indeed mostly reading "time" as "time coordinate in Minkowski". You're right, I let aside the possibility of CTC. For the events being "in their respective light-cone", it was a bad phrasing for "each one is in the lightcone of the other".
== Please remove some external links ==


:: Now, if you think I'm only nitpicking, and I could understand it, no problem :) But if you agree with this potential misreading, maybe a slight modification of the wording could change it.
Please remove some external links from external links section. The amount of links we have in that section currently, we can easily create another article on it. I thought of editing myself, but, since I am not a regular editor of the article (don't know about previous consensus -if there was any on this) I am requesting it here. I have noticed there are some books too in external links section. Can we include those in further reading section? Thanks! --] ] 16:59, 2 March 2012 (UTC)


:: But overall, it's interesting to see that this confusion was mostly due to a bad understanding of what we meant by "time" on the "time" article of wikipedia... Maybe it was also caused by the fact that I learned this topic in French, and that the exact wording we use cannot be literally translated.
==The intro==
I think the intro is erroneous. The intro starts with:
:''Time is a part of the measuring system used to sequence events, to compare the durations of events and the intervals between them''
This is kind of a ]. The measuring systems are mental constructs in order to quantify some fundamental aspect of the reality. Confusions between reality and mental constructs abstracting them are classical reifications. Time is, according to my opinion,
:''a 4D space-time vector chosen to be parallel with the local vector of increased entropy'',
but in order to be somewhat comprehensible to anyone, one could instead say:
:''time is a quality of our existence that defines increased decay and other processes described as "aging"''
or some such. ] dixit. (]!) 19:24, 26 March 2012 (UTC)


:: Sincerely ] (]) 12:00, 3 August 2024 (UTC)
::Saying something is a component of our measuring system does not reify it. One might think so, though, if one supposed that every component of OUR measuring system (and/or the measuring system itself) were a thing. There is an ongoing debate about whether time can be considered an entity, and the lede draws attention to that. Whether time is ''real'' depends a lot on what one thinks "real" means (aren't concepts real?). Time cannot be easily defined, but what is given in the 1st paragraph is well sourced, and attempts to do no more than describe how we use the concept. What sources are there that define time as you propose? Can we assume this is not another attempt to have the first link go to ]? The lede does not state that time has any "reality" beyond the way we construe it. --] (]) 19:49, 26 March 2012 (UTC)
:::Alright, let me see if I understand. The goal here is naturally to make the explanation as un-] as possible while still being correct with the current understanding in physics. So let's turn to your example first. As suggested in the paragraph, every event is assigned time and position coordinates. For simplicity I will use only one position coordinate and assume nothing moves, so observer and place coincide. Let's say you are at position 0 and the sun is at position 8*60=480 light seconds. Then at time t=30 seconds you observe that the sun stops shining. In other words, these are 3 events:
:::* (t=0,x=0) - here and now
:::* (t=-450,x=480) - sun stops shining
:::* (t=30,x=0) - you observe the sun stops shining
:::Now in some sense the sun stopping shining and your observation of it are just different coordinates for the same event - this is the principle of relativity, that time coordinates are not absolute but are a function of the observer. Then regarding space vs. time separation, it should be clear that since (30,0) is in the future of (0,0) that the "sun stops shining" event is separated from your current "here and now" reference event by space - although you will observe it in the future after it has happened, it is not causally in your past or future. This situation should be what you meant by "not in their respective light-cones". Now regarding the time coordinate I guess you could say that -450 is less than 0 but generally it is meaningless to compare coordinates like that - I would not say that any of these events are separated by time besides (0,0) and (30,0).
:::I think the issue is that there are in fact two definitions of time operating here. First is time as a coordinate, as measured by the clock of each observer. Then there is time as causality, a ] based on the relation "is caused by". This is a more philosophical notion. It is true that if you have a clock that measures the time of two events, the earlier event causally precedes the other, but this causal definition extends to situations where precise clock coordinates are not present. It would be good to find some sources for this section. There is which just rattles off a theorem "Thus, the causal structure poset (M, ≺) of a future and past distinguishing spacetime is equivalent to its conformal geometry." but maybe it is too technical. ] (]) 03:32, 4 August 2024 (UTC)


:::: I also think there is a little problem here. "Events separated by time" seems to be an attempt at nontechnically talking about "events separated by ''time-like intervals''", which is the standard, correct phrasing and which thrives in the literature. I have never seen the shortened form in the literature in its relevant context. Of course the problem is how to talk about a ''highly'' technical subject in a nontechnical way.
:::Hello, Rursus, I agree with your criticism, and have made that exact criticism here before. The problem here is JimWae excercises a kind of ownership of this article, and his views come from an obscure philosophical view that views time as some kind of illusion. He does not agree that time is a real phenomenon. Note he and I have some history: Over a year ago I successfully lobbied over a month to have the lede sentence be framed in more general terms along the lines of:
:::: A well-targeted Google search gives this:
:::: ''Time is the physical phenomenon of intrinsic change that permeates all of nature/universe...
:::::{| class="wikitable" style="text-align: center"
::: I sourced it to a dictionary definition, although most other dictionaries use vague language. I managed to fight JimWae off and got support for this general kind of introduction as above. The article stood that way for some months until I came before the Arbitration Committee and was banned from editing for a year for an unrelated dispute. With me gone, JimWae took the opportunity to restore his version of the lede, with its "measuring systems" and "what a clock reads" and all this nonsense. Time is something far greater than what one may gather from what JimWae writes. You can read our discussions from 2010 in the archives if you like. ( -] (] | ]) 09:09, 25 April 2012 (UTC)
|-
! Google Search !! Scholar !! Books
|-
| observer events "separated by time"
|
|
|-
|}
:::: In most instances the string "separated by time" is immediately followed by "-like" or " -like", so that does not count, but I found at least one relevant source that explicitly uses the string from the article:
::::* {{cite book |title=Discovering Relativity for Yourself |author1=Sam Lilley |edition=illustrated |publisher=Cambridge University Press Archive |year=1981 |isbn=978-0-521-23038-4 |page=125 |url=https://books.google.com/books?id=ZS45AAAAIAAJ}}
:::: And it gives a neat explanation to boot. So I have added it to the article and italicised the term to mark its hidden technical nature: - ] (]) 09:53, 4 August 2024 (UTC)
:::::It's a good source, it still doesn't support what I said though as it ends up defining the intervals as time or space ''-like''. I have revised the whole thing, to add the earlier source I linked - let me know what you think. It should at least be clearer although I fear the wikilinks may make it seem more technical. ] (]) 15:22, 4 August 2024 (UTC)

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Semi-protected edit request on 25 April 2022

This edit request has been answered. Set the |answered= or |ans= parameter to no to reactivate your request.

Please Change Current View to Submitted View:

Current View: The operational definition of time does not address what the fundamental nature of it is. It does not address why events can happen forward and backward in space, whereas events only happen in the forward progress of time.

Submitted View: The operational definition of measured time does not address what the fundamental nature of Time is. The operational definition of measured Time does not address why changes/events can happen, or whether they can happen forwards and backwards in spacetime. Physicists operationally define measured time as the progression of changes/events from the past to the present into the future. Change is all about the comparison of something made different to what it currently is; the act or instance of making or becoming different, whether physically or temporally respectively. Consequently, if a system is changing, it has an operational measure of time. Alternatively, if a system is unchanging, it has no operational measure of time. In our world the happening of changes/events assumes that there is an 'arrow of time'. You cannot change something backwards, due to the theory of causality. Operationally, Time can be best expressed as providing for measured change.

However the fundamental nature of Time is best expressed as the providing for the allowance/potential of change. Basically, Time is a constituent of spacetime and it is all around us. Time is considered to be the fourth dimension of reality, used to describe changes/events in three-dimensional space. Yet it is not something we can see, touch, or taste, but we can measure its passage. The approach of philosophy to Time differs from that of physics. Whenever these differences are disregarded there is a danger to use the same term for differently perceived phenomena and then false conclusions may be drawn. In general, physics operates with actual time concepts, whilst philosophy generally considers time as a potential form of existence.. Sjbauer121552 (talk) 16:04, 25 April 2022 (UTC) Sjbauer121552 (talk) 16:04, 25 April 2022 (UTC)

References

  1. Buccheri, R. (2003). The Nature of Time: Geometry, Physics and Perception. Chapter:Potential and Actual Time Concepts: KJuwer Academic Publishers. p. 417. ISBN 978-1-4020-1201-3.
 Not done: That is too much detail for the lead. Further elaborations exist in the body of the article. ScottishFinnishRadish (talk) 12:13, 26 April 2022 (UTC)
When will the edit be published in Misplaced Pages?
If it its is too much detail, the second paragraph can be moved to be a separate subsection under either the section of Philosophy or Perception.
If so, do I have to provide for another edit? How do I proceed? Sjbauer121552 (talk) 23:22, 26 April 2022 (UTC)

Add new subsection "The Fundamental Nature of Time" under section "Philosophy"

Please Add Submitted View to 'Philosophy' section:

Submitted View: The Fundamental Nature of Time The operational definition of measured Time does not address what the fundamental nature of Time is. The fundamental nature of Time is best represented as the allowance/potential of change. Basically, Time is a dimensional constituent of the modeling for spacetime and it is all around us. Dimensionally modeled Time is considered to be the fourth dimension of reality, used to describe changes/events in three-dimensional space. And while we can indirectly experience the reality of temporal differences, the nature of Time is not something we can immediately comprehend via our five senses. The approach of philosophy to Time differs from that of physics. Whenever these differences are disregarded there is a danger to use the same term for differently perceived phenomena and then false conclusions may be drawn. In general, physics operates with actual time concepts, whilst philosophy generally considers time as a potential form of existence.

The dynamic of 'change' is all about the comparison of something made different to what it currently is; the act or instance of making or becoming different, whether physically or temporally respectively. Consequently, if a system is changing, it has an operational measure of time. In our world the happening of changes/events assumes that there is an 'arrow of time'. You cannot change something backwards, due to the theory of causality. Operationally, Time can be best expressed as providing for a measured change. However, the measured change/event only happens within the calculable measure of our conscious memory.

Alternatively, if a system is unchanging, it has no operational measure of time. Non-operationally, Time can be best expressed as providing for the allowance/potential of change. In a sense, a thing that exists potentially does not exist, but the potential transition does exist. The definition of potentiality is the ability to develop or come into existence. Therefore, the nature of Time is its relative potentiality; potential to transition into a Present Time existence from a Past Time reality. Also referred to in philosophical presentism, reality can only be realized as existent in Present Time, it is only the duration of measured Time that is the illusion.Sjbauer121552 (talk) 14:26, 27 April 2022 (UTC)

References

  1. Buccheri, R. (2003). The Nature of Time: Geometry, Physics and Perception. Chapter: Potential and Actual Time Concepts: KJuwer Academic Publishers. p. 417. ISBN 978-1-4020-1201-3.

Incorrect phrasing (31 July 24)

Hello. I'm not used to complex modifications in Misplaced Pages, so I prefer to put my remark here.

In the "Definition" section, it is written that "Events can be separated in many directions in space, but if two events are separated by time, then one event must precede the other, and all observers will agree on this."

This seems to be incorrect, or at least misleading for a non-expert. Indeed, the time-separation claim is correct only for two events which are in their respective light-cones, for which the notion of past an future is unambiguous. I.e., if they are separated by a time interval. This is not anymore the case if they are out of their respective light-cone, i.e., separated by a space interval.

2A01:CB18:92E:2E00:7591:83A:C2DA:FF73 (talk) 17:03, 31 July 2024 (UTC)

I'm not sure this is necessarily as misleading as you describe: certainly, two observers would need to be in the same light-cone to be able to agree or otherwise ascertain anything meaningful? That is, for every possible observer where the notion of agreement is physically meaningful, this will be the case. Remsense 17:27, 31 July 2024 (UTC)
I wrote that sentence. I am not clear on what you think is incorrect or misleading. I will break it down. Here is what I wrote
1. Events can be separated by space or by time. (or as a special case be directly on the light cone, which is both, but I left this out for simplicity).
2. If two events are separated by time, then one event must precede the other and all observers will agree on this. (This is a proposition of special relativity - in general relativity it is not quite true as there are closed timelike curves but no such curves have been observed empirically)
Here is what you wrote:
1. "The time-separation claim is correct only for two events which are in their respective light-cones" - I am not sure how an event can be outside its own light cone? The light cone is defined relative to the event. So this boils down to "The time-separation claim is correct."
2. "The notion of past and future is unambiguous." - not quite, as mentioned there are the CTC's which have never been observed. But if you fix a point on such a loop then past and future are unambiguous.
3. "If they are out of their respective light-cone, i.e., separated by a space interval, they are not separated by a time interval." (paraphrased) - this is logically equivalent to my (1) Mathnerd314159 (talk) 01:54, 1 August 2024 (UTC)
Thanks a lot for taking the time to answer to me.
First, let me say that I had in mind how unfamiliar readers would read the text, not experts. This maybe caused some confusion.
I have in mind an example as the sun stopping to shine. The sun is at a bit more than 8 light-minutes. Now, let say that I'm on Earth, and I describe this event with Minkowski coordinates centered at me now, for which the sun stops to shine at 30s (for instance). This is typically a case where this event is not in the future of the event "here and now for me", from a special relativity view, which is typically what could be confusing for an unfamiliar reader.
In this context, I think that I fundamentally misunderstood the current wording. From you answer, I now understand that you used separated in space for space interval, and separated in time for time interval, which was not obvious for me. In this case, I agree with your wording. However, as the previous sentences were talking about time as a coordinate, and then time as measured by the clock of each observer, I didn't understand it that way, and had the impression that the example I just gave could be encompassed in "Events can be separated in many directions in space, but if two events are separated by time", since for my Minkowski coordinates, they are separated by time (in addition to being separated by space).
For the first answer, I would refer to my example, where the two events "here and now for me" and "sun stops shinning" are not in the same lightcone.
For the second answer, I hope I have solved our mutual misunderstanding: I was indeed mostly reading "time" as "time coordinate in Minkowski". You're right, I let aside the possibility of CTC. For the events being "in their respective light-cone", it was a bad phrasing for "each one is in the lightcone of the other".
Now, if you think I'm only nitpicking, and I could understand it, no problem :) But if you agree with this potential misreading, maybe a slight modification of the wording could change it.
But overall, it's interesting to see that this confusion was mostly due to a bad understanding of what we meant by "time" on the "time" article of wikipedia... Maybe it was also caused by the fact that I learned this topic in French, and that the exact wording we use cannot be literally translated.
Sincerely 2A01:CB04:CC5:3000:9110:32D1:7FC5:9A21 (talk) 12:00, 3 August 2024 (UTC)
Alright, let me see if I understand. The goal here is naturally to make the explanation as un-WP:TECHNICAL as possible while still being correct with the current understanding in physics. So let's turn to your example first. As suggested in the paragraph, every event is assigned time and position coordinates. For simplicity I will use only one position coordinate and assume nothing moves, so observer and place coincide. Let's say you are at position 0 and the sun is at position 8*60=480 light seconds. Then at time t=30 seconds you observe that the sun stops shining. In other words, these are 3 events:
  • (t=0,x=0) - here and now
  • (t=-450,x=480) - sun stops shining
  • (t=30,x=0) - you observe the sun stops shining
Now in some sense the sun stopping shining and your observation of it are just different coordinates for the same event - this is the principle of relativity, that time coordinates are not absolute but are a function of the observer. Then regarding space vs. time separation, it should be clear that since (30,0) is in the future of (0,0) that the "sun stops shining" event is separated from your current "here and now" reference event by space - although you will observe it in the future after it has happened, it is not causally in your past or future. This situation should be what you meant by "not in their respective light-cones". Now regarding the time coordinate I guess you could say that -450 is less than 0 but generally it is meaningless to compare coordinates like that - I would not say that any of these events are separated by time besides (0,0) and (30,0).
I think the issue is that there are in fact two definitions of time operating here. First is time as a coordinate, as measured by the clock of each observer. Then there is time as causality, a poset based on the relation "is caused by". This is a more philosophical notion. It is true that if you have a clock that measures the time of two events, the earlier event causally precedes the other, but this causal definition extends to situations where precise clock coordinates are not present. It would be good to find some sources for this section. There is this paper which just rattles off a theorem "Thus, the causal structure poset (M, ≺) of a future and past distinguishing spacetime is equivalent to its conformal geometry." but maybe it is too technical. Mathnerd314159 (talk) 03:32, 4 August 2024 (UTC)
I also think there is a little problem here. "Events separated by time" seems to be an attempt at nontechnically talking about "events separated by time-like intervals", which is the standard, correct phrasing and which thrives in the literature. I have never seen the shortened form in the literature in its relevant context. Of course the problem is how to talk about a highly technical subject in a nontechnical way.
A well-targeted Google search gives this:
Google Search Scholar Books
observer events "separated by time" 9.370 411
In most instances the string "separated by time" is immediately followed by "-like" or " -like", so that does not count, but I found at least one relevant source that explicitly uses the string from the article:
And it gives a neat explanation to boot. So I have added it to the article and italicised the term to mark its hidden technical nature: - DVdm (talk) 09:53, 4 August 2024 (UTC)
It's a good source, it still doesn't support what I said though as it ends up defining the intervals as time or space -like. I have revised the whole thing, to add the earlier source I linked - let me know what you think. It should at least be clearer although I fear the wikilinks may make it seem more technical. Mathnerd314159 (talk) 15:22, 4 August 2024 (UTC)
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