Debunking the Time Bastard Theory, Part IIContents:Archives: The Time Bastard Theory and Supporting Discussion
Time Bastard Theory: Not a Theorem
Supporting the Refutation of the Time Bastard Theory
The Alternative
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Archives: The Time Bastard Theory and Supporting DiscussionTime Bastard Theorem
ZeaLitY, GrayLensman
Suppose an entity X exists on timeline Y.
If X time travels from time A to time B, such that B < A; for time > B, Y is sent into the DBT, and Y' is created, containing X'.
For time > A, two identical entities X and X' will exist in Y'.
Conservation of Energy requires that only one entity X or X' exist.
Therefore, X' will be expunged from Y' at time A, and sent into the DBT.
The entire point of the Time Bastard theory is to explain why on earth the original time traveler, X, is still present with his original memories intact.
In its original form, Time Bastard described the version Serge who was born in the ideal timeline, after the dimensional unification of Chrono Cross, and was subsequently eliminated when the old Serge returned from the Darkness Beyond Time. It was supposed that the new Serge was sent in to DBT or otherwise discarded by the direct actions of some agency.
However, all time travelers who change the past would also produce duplicates. For example, if Crono warps back in time, a new timeline is created, containing a new version of himself. Evidently, when Crono returns home, the duplicate is nowhere to be found. Presuming that the new Crono also travels through time doesn't solve the problem, because it doesn't eliminate the copy, and introduces some trouble with cause and effect.
There has to be some universal mechanism which removes these redundant copies, so that time travelers can return home. The duplication of matter in this fashion may also violate the laws of thermodynamics. We surmise the Time Bastard theory to operate like the Missing Piece theory in reverse. If a dimension contains an excess of a particular entity, the extra one is pushed out. When Crono travels back in time, and creates a new timeline, the instant the old Crono stepped into the Gate, the new Crono is sent into the Darkness Beyond Time. If this event coincides with the new Crono entering a Time Gate, then it is only an added bonus
For the record, bringing Robo to 600 AD while his past self if still reseeding the forest is not an example of duplicate travelers existing. Past, present and future, there is only one version of Robo in the universe. He has a single, uninterrupted world line, which is viewed from different time frames.
This allows for, among other things, Robo to exist in A.D. 2300 after the defeat of Lavos. In CT's ending, Robo himself worried that, due to any unforseeable result of Lavos's defeat and the possibly radically different future that event could cause, he would not have a counterpart in the new future. This subtheorem of the Time Bastard theorem states that if there was a Robo' he was replaced by Robo, and if there was not a Robo' then Robo simply came into existence as a true Time Bastard, that is one without an origin in the timeline in which he resided.
TB states that the mechanics of time travel cannot be used to create duplicate entities. If you warp back in time and create a new future where you did not time travel at all, you cannot meet the new, non-time traveling, version of yourself because that person will disappear at the instant of your original departure. This would be the same for any material object.
For all time and space, only one version of any entity may exist. However, an entity's world line may loop back onto itself so that the past and future version of an entity may exist in the same space-time. Magus can warp back to Zeal and encounter his past self, Janus, but there is no duplication. Robo can meet himself in Fiona's Forest. The articles taken from the sealed boxes can co-exist in the exact same way.
If the travelers retrieve a Red Mail from a sealed box in 1000 AD and then seemingly remove the same article from a box in 600 AD, they have not duplicated the item. For all space and time, only one item containing the physical matter of the Red Mail exists. But, the travelers possess versions of that item from two different times. The world line of the Armor has looped in on itself just like Magus and Robo.
This is not a free lunch, however. Once the Red Vest experiences a passage of time such that it reaches 2300 AD, it will cease to exist.
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A traveler exiting a time warp is a “time bastard” with no relationship to the causality of that timeline whatsoever. That traveler’s past world line cannot be affected by any event within that timeline, and thus no change can prevent the traveler’s arrival from taking place. The traveler’s arrival is not dependant on his departure from another time or his historical existence in that timeline. I see this as a requirement for time travel to function in the Chrono universe as it does.
When Magus was warped to the Dark Ages, his actions significantly changed the events of the Ocean Palace disaster, but his memories were unaffected. The historical events involving Magus in 600 AD did not appear to change either. Magus changed the timeline prior to his original departure in 12000 BC, and this did not cause a new Janus to warp to 600 AD, or a new Magus to warp to 12000 BC.
TIME BASTARD - A REVIEW
The premise behind Time Bastard is that time travel cannot be used to create duplicates of entities. It is possible for past and future versions of entities to exist in the same point in space-time, but duplicate entities from the same time period cannot coexist. The doubles in Chrono Cross do not violate this because Home and Another are separate dimensions.
Consider this scenario:
At the Millennial Fair Crono warps 400 years into the past. His presence in 600 AD creates a new timeline, and the original is sent to the Darkness Beyond Time. In the new timeline, a new version of Crono will exist, but the original version of Crono in 600 AD is not affected because he has time traveller immunity.
In 1000 AD, the new version of Crono may enter the warp to 600 AD, but where does he go? He cannot arrive in 600 AD, because the original version of Crono, who is protected by time traveller immunity already exists there. Based on evidence in Chrono Trigger, time periods do not fill up with duplicate time travellers. Thus, the new version of Crono is eliminated from the timeline and sent to the DBT.
Basically, if changes to the timeline result in the version of a time traveller entering a time-warp not being identical to the same traveller exiting the warp, the traveller entering the time-warp is sent to the DBT.
And if Crono continued time travelling:
The original version of Crono warps from 600 AD to 12,000 BC, creating another timeline. Yet another version of Crono would enters the warp in 1000 AD, and is sent to the DBT. The original version of Crono, protected by time traveller immunity, arrives in 600 AD. However, due to the new timeline, when this version Crono warps to 12,000 BC, he is not identical to the original Crono, and is sent to the DBT.
Another case:
Perhaps if the changes to the timeline are severe, the new version of Crono would not enter the warp in 1000 AD (or the version of Crono in 600 AD). Would the original version of Crono return to the present to find a duplicate of himself? Since there are no duplicates, the new version of Crono must have been sent to the DBT at the same time the original Crono left.
The Theory in a Nutshell
Duplicates of entities cannot be created through time travel because this would violate the conservation of energy in the universe. If a time travel scenario would cause a duplicate entity to exist, the entity with the least seniority of time traveller immunity would be sent to the DBT.
Examples
Robo encounters the past version of himself in 600 AD
After Fiona's Forest is replanted, Robo warps from 1000 AD to 600 AD and encounters his past self. They are not duplicates because the versions of Robos are not the same age. They are the same version of Robo looped in time. When the "past" version of Robo reaches 1000 AD, he will be sent into the DBT at the time the "present" version of Robo originally warped out.
Magus encounters Janus in 12,000 BC
After the encounter with the time travellers in 600 AD, Magus is warped to 12,000 BC. Magus encounters his past self (Janus), but they are not duplicates because they are not the same age. During the destruction of Zeal, the new version of Janus will be sent to the DBT at the time the original Janus was warped to the middle ages. The new version of Magus will be sent to the DBT when the original warped to 12,000 BC, and so on.
The new version of Magus will be sent to the DBT when the original warped to 12,000 BC, and so on.
This is the only part I'm not getting. When was there a new Magus? If the new Janus is sent to the DBT there won't be a new Magus, right? Am I missinbg something here?
The original version of Janus will warp to the middle ages, but the slight changes to the timeline will alter his experiences from the original Magus. For example, the existence of the Black Omen. This new version of Magus will not be identical to the original in 600 AD.
I think I'm getting it now. Even though the new Janus is sent to the DBT, there will still be a new Magus because of slight changes and big ones like the rising of the Black Omen. Because the Magus in your part obviously does not remember the Black Omen existing in 600 AD the new Magus had been sent to the DBT when Magus warped to 12,000 BC.
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Time Bastard Theory: Not a TheoremOkay, in the first place, the Time Bastard theorem is described more as a mathematical theorem than it is anything else, and as such it is described effectively, with the definitions you seek being irrelevent.
To clarify our objectives and our boundaries, I would like to begin by pointing out why the “Time Bastard theorem” is not a theorem, but in fact a theory.
A
theorem is a proposition that has been or is to be proved on the basis of explicit assumptions. (“Explicit” assumptions are readily true either by convention—e.g., a triangle has three corners—or overwhelming physical consistency—e.g., the gravitational acceleration on Earth’s surface is roughly 9.8 m/s².)
I think we would agree that the observation which inspires the “Time Bastard theorem” is that, for Entity X occurring on Timeline T, allegedly no two instances of X at any point on a T are exactly the same age. But a
theorem demands the
proof of explicit logical assumptions, and “Time Bastard theorem” offers no proof of the sort. It simply regurgitates the observation. It is not a theorem.
Instead it is a
theory. Actually several words come to mind, but a presumed “Time Bastard
theory” would attempt to
explain our alleged observation in physical terms, and could be tested and used to make predictions. And indeed:
The entire point of the Time Bastard theory is to explain why on earth the original time traveler, X, is still present with his original memories intact.
I think whoever originally came up with the title “Time Bastard theorem” was just trying to sound good. What we’re dealing with is a theory, something that attempts to explain what I have dubbed the “Time Bastard Effect,” which is a way of summarizing “the alleged observation that, for Entity X occurring on Timeline T, no two instances of X at any point on a T are exactly the same age” just as I stated above. I use the word
alleged, because, after all, I disagree with the theory and therefore I do not necessarily agree with the observation it attempts to explain. We’ll get to that later.
For now, suffice it to say that this is why I have called the “Time Bastard theory” a theory while everyone else is calling it a theorem. I do so in order to clarify what exactly it is we’re talking about here, and what we’re trying to do with it.
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Supporting the Refutation of the Time Bastard TheoryOkay, in the first place, the Time Bastard theorem is described more as a mathematical theorem than it is anything else, and as such it is described effectively, with the definitions you seek being irrelevent. Most of these are things which we do know already, and to try and argue about it is fairly meaningless, especially in the context of this game. Time we all know about, there's only two methods of time travel (both of which are included here by the generalness of the phrase "time travel"), and timeline is addressed in a seperate theory, I believe.
In Time Bastard theory we see the difference between a verifiable theory, and one that simply happens to fit the facts, if even that. The Time Bastard theory attempts to explain a phenomenon—the Time Bastard Effect—by describing the process that governs the function of this phenomenon, but in order to be accepted as true it is absolutely necessary for the theory’s proponents to provide reasoning for the stupendous mechanisms that allow for its operation. It is not an acceptable support of the theory to say that, because these elucidations which I have required in my original refutation as logical satisfying conditions to the theory have already been provided for elsewhere on the Compendium, therefore Time Bastard is a valid theory. Instead, what should happen is that the theory
invoke no less than those elements in order to demonstrate the theory’s status as a derivative of the higher-order theorizations regarding temporal mechanics as presently accepted here on the Compendium.
In simpler terms, Time Bastard as it currently exists makes claims without proof, and relies upon theories which it does not reference. That is, it does not express itself in terms of other Chronoverse theories. My demand is that the Time Bastard theory not exist in this vacuum, that it instead comprise itself of and express itself by the higher theories of temporal mechanics upon which it relies. I am not asking for any of the higher temporal mechanics to be
proved here; I am asking them to be identified to whatever degree of explication is necessary and then related to the Time Bastard theory directly.
A few examples of what the Time Bastard theory’s deficiencies in this regard:
“If X time travels…”The concept “time travels” must be expressed in terms of the temporal mechanical model. If a timeline represents chronotic potential, then we’re talking about a discontinuity in the chronotic potential. But if a timeline represents entropic potential, then we talking about a discontinuity in the entropic potential. Or maybe “potential” isn’t an accurate representation at all; maybe a timeline represents neither of these things; maybe it can only be expressed in terms of a relative causation string, or even something else altogether. This must be clarified! We have to know what time travel
means before we can talk about what it does.
“…such that B is less than A…”Again, “less then” by what measure? What units are we using here? Obviously we are talking about B being “earlier” in time than “A,” but that word means nothing if it is not tied to the temporal mechanical conventions governing time. Trying to explain the Time Bastard Effect by talking about seniority on a timeline without knowing what a timeline represents is like talking about voltage at a point on a circuit without knowing how the circuit is configured, and then trying to use that information to imply fundamental truths of electricity. The conclusions drawn are almost certain to be wrong.
“…for time > B…”I mentioned this in my original refutation, but no one seemed to understand the importance. It is unjustifiable to apply a limiting stipulation to a process without describing the threshold that governs the limitation. Even if the Time Bastard theory were true, which is a dubious prospect, it would either have to apply to time travel between any two points on a timeline, or there would need to be a physical reason for excluding travel to some portions of the timeline (in this case, future portions) from the theory’s domain of applicability. No such reason is given, and thus the stipulation is arbitrary and therefore invalid. Now, we all know the limitation is meant to account for the observation that no two instances of Entity X are the exact same age. But as it presently stands, the Time Bastard theory only regurgitates this observation; it does not explain
why, which is the whole point of the theory in the first place. As such, the Time Bastard theory is little more than an attempt to restate the Time Bastard Effect.
This is why it's essential for time b to be less than time a. When you travel back in time, time is altered. You weren't there the first time through. The history that you remember did not include you being there. So, when you travel back in time to time b, you've changed history merely by your presence. This is why timeline Y past point b is sent to the DBT, and a new timeline created. The original history does not exist any longer, and a new one is created.
This gets back to what I was just saying about the need to explain the reason for a limiting stipulation. If you look on from the End of Time, time traveling back in time alters history just as much as time traveling forward in time. So why does the Time Bastard theory apply only to traveling backward in time?
Example: From the perspective of someone in, say, 2500 A.D., due to the process commonly referred to on the Compendium as Time Error, at the beginning of the game Crono has not yet traveled into the future era of 2300 A.D. The people in 2500 would have no history recording his arrival and subsequent resuscitation of human spirits in the Domes. Indeed, there might not be any humans alive at all in 2500! But once Crono does travels forward into 2300, there will suddenly be perhaps a more hopeful, healthy people living there who will well remember the day when the world revived.
Ergo, if the Time Bastard theory is true,
it must apply to all instances of time travel rather than just the backward-traveling ones. The only way to get around this requirement is to specifically define some threshold as I have described previously, or else refute or revise the “Time Error” theory—a much more sound theory, I might add, albeit an inaccurate one.
This is why timeline Y past point b is sent to the DBT, and a new timeline created. The original history does not exist any longer, and a new one is created. This isn't so much a matter of an entire universe being destroyed and a new one created, as it is the events of said universe being destroyed and a new set being made. Remember in Chrono Cross, seeing the timelines floating by in the bubbles while you battled the Time Devourer? Most likely, those weren't actual places you could have walked in, through, and around in the DBT, but were instead memories, thoughts, and records of those timelines. Only very rarely does actual matter get sent to the DBT, Lavos, Schala, and the Mamon Machine being few exceptions.
Again, this is a restatement of the (alleged) observation of the Time Bastard Effect, followed by claims of a sequence of events that must occur to satisfy the observation. But the theory offers no explanation as to how or why these claims are the correct ones. Indeed, some very significant problems arise. When Crono travels to 600 A.D., the Time Bastard theory claims the creation of a derivative timeline and that the Crono born in this timeline would grow up in a timeline where “that spiky-haired boy won the war.” But because this derivative Crono isn’t present when the original Crono returns to his time, the theory alleges that he must have been “sent” to the Darkness Beyond Time. At the same time, everything else in the new, derivative timeline has no memory of the history that the original Crono remembers. So thus we have the original timeline and the derivative Crono sent to the Darkness Beyond Time while the derivative timeline and the original Crono take their place.
By what mechanism is this transformation effected? Why does an act of time travel have any effect on a timeline? You say that:
This isn't so much a matter of an entire universe being destroyed and a new one created, as it is the events of said universe being destroyed and a new set being made.
But that’s just not true.
Show the difference between “an entire universe” and “events of said universe.” There is no difference! It is two ways of describing the same thing.
What the Time Bastard theory is effectively saying is that any act of time travel is not merely an act of time travel, but a reorganization of the entire
universe, with everything changed according to some new specifications determined by a special set of contents (the time travelers), who alone of all things in the universe remain the same.
You see, I certainly do
understand the theory. I just don’t buy it. Crono’s original timeline was
real. He was there. The Time Bastard theory says that upon an act of time travel, now suddenly it’s not real anymore. But if that were true, this timeline had to go
somewhere. And indeed, the theory says the timeline is “sent” to the Darkness Beyond Time. But what mechanism provides for the “sending”?
I cannot emphasize this point enough. Every event has to have a reason and a means, and the obliviation of an entire universe is no exception. But while the Time Bastard theory offers a reason,
it does not offer a means. Without a means to explain the phenomenon, we cannot be sure that our observation of the phenomenon is complete, or even accurate, and of course we cannot be any more confident in the theory than in the observation. Is the problem observational or theoretical? We haven’t addressed that at this point, but it could be either. Perhaps the perspective is wrong. Perhaps the mechanics are incorrect. But
something remains to keep the theory unsatisfied, and so long as that is the case, it is not a proven theory, merely a working one…and this topic has shown that it doesn’t work all that well.
Think of it this way: Some lizards, as a defense mechanism, can shed their entire tails, and then slowly regrow them. So long as the lizard remains alive, it can regrow the tail; not exactly the same as before, but a tail is still a tail. This is similar to what happens with the universe according to this theory. When X goes from time A to time B, where B<A, Timeline Y is cut off at point B. However, the universe itself is still there, and it will regrow naturally, but it won't be the same as the original Timeline Y, but it will be close: Timeline Y'. If the material is trivial, or Entity X simply sits in the woods and speaks to no one during his stay in Time B, then Timeline Y' will be nearly identical to Y, possibly even indistinguishble. But it will still be different, because even if no one knew about it, you WERE there, something which most definitely did not occur in the original timeline.
Your very own words, “the universe itself is still there, and it will regrow naturally,” admit to the problem outlined above. It doesn’t matter if the new universe is remarkably similar or vastly different. The proverbial tail has been
cut off. This cutting-off transformation must have a mechanism and energy to carry it out. And now the proverbial tail will
regrow. Again, this regrowing transformation must have a mechanism and energy to carry it out.
But we’re talking about the entire universe! If the Time Bastard theory is true, the reality of its ramifications means one of two things. The first possibility is that there is some force larger in energy and capacity than the entire universe, which is responsible for providing the mechanisms of obliviation and creation of universes, and that this “ultra force” is triggered somehow by time travel.
The second possibility is more interesting, and far, far more plausible. All this time I have not provided any alternate explanation of the Time Bastard Effect. For one thing, I’m still not satisfied that the observation is complete. There may be times when a timeline
does contain two or more indigenous Entities X of the same age. This much is intimated after the Ocean Palace disaster—among other times—when Janus and Melchior are recounted to have disappeared into a huge gate. The Time Bastard theory says this detail doesn’t matter; they’re going to be erased because of a more senior Magus and Melchior. And Lavos itself…well, Lavos seems to exist uniformly at
every point in time after its arrival, and, for all we know, prior to its arrival too. Lavos takes the limit of Time Bastard theory as the Time Bastard Effect goes to infinity, and what we get is a bunch of gobbledegook…Lavos is still there, but the theory is in shambles.
But an alternative explanation might be constructed to avoid these problems. And while it is not necessary to complete the refutation of a false theory by providing a true theory in its place, it would be icing on the cake.
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The AlternativeI do have an alternate explanation. Unfortunately, it’s a part of my unified space-time theory for the Chronoverse, which I undertook over a year ago and have a ways to go yet before I finish. But if you don’t mind a “half-baked” alternative to the Time Bastard theory, consider this premise:
Suppose that, orthogonal to real time, where real time is represented by a continuous, nonplanar surface—the curvature of which is determined by the actions undertaken on each real time timeline set—and is divided into infinite parallel adjacent real time timelines, there is a continuous planar “wave front” representing the instance of real time at any given orthogonal time. (Note that this allows for simultaneous timelines to exist, by the nonplanar real time surface crossing over itself in metaspace, the interpretation of which provides for the existence of multiple dimensions.) This orthogonal wave front transects real time timelines at a smooth rate, continuously, as it moves forward in orthogonal time. In effect, it acts to determine the “absolute” real time timelines, which means that, on the axis of real time, only one set of timelines at a time can actually exist—namely, those with a value on the orthogonal axis corresponding to the wave front.
Because the real time timelines are infinitesimal, they do not actually exist distinctively, except where the wave front transects. The premise of indistinguishable real time timelines means that every action on every point of a real time timeline set at the moment of wave front transection determines the shape of its corresponding point in real time on the next instance of absolute real time as the wave front progresses. What this means is not certain in the context of real time itself, but it would nonetheless be observable by taking a cross-section of real time at a specific point in real time. This cross-section would typically be a continuous curve. However, it is possible for there to be points of discontinuity, and these would be reconciled by moving to another cross-section to see that the curvature in real time was changed at another point in real time on the same absolute real time timeline set.
This change in curvature leading to discontinuities at other points in real time, would be the mathematical expression of a “change” to the real time timeline, and whose causative phenomena would include the arrival point of a time traveler.
This would explain the elements of the Time Bastard Effect we know to be true by observation. Consider an empty universe, in which real time would be planar. Every point in real time, being null, will determine that the next point is also null, and hence the progression of orthogonal time will yield no changes to real time. But in a full universe, everything affects everything else, not only in real time, but in orthogonal time, and this is represented by the continuity of orthogonal time.
Lavos, rather than existing in a pocket dimension, would be said to exist bound to orthogonal time rather than to real time, which is why it exists at all points in real time prior to its destruction, but no points in real time thereafter.
Unlike with the Time Bastard theory, nothing is destroyed to nothingness by this model, and nothing is created out of nothingness, as the existence of real time as a surface rather than a line provides for an orthogonal progression which continuously—i.e., without violation of physical laws—reflects the occurrences at every point in real time. The trick is that it adds an extra dimension of infinitude to the universe, along the orthogonal axis. That which passes into the Darkness Beyond Time is synonymously said to abruptly cease to affect its corresponding points in real time further along the orthogonal axis.
When Crono travels back from 1000 A.D. to 600 A.D., a discontinuity occurs at all cross-sections of real time from the point 600 onward. The new real time timeline set now reflects a history where that spiky-haired kid won the war.
And the same applies equally well to all other instances of the Time Bastard Effect, or at least those of which that I have evaluated.
At this point, I am not ready to offer the above material as a functional alternative, because even though it is leaps and bounds more logically consistent than the now-defunct Time Bastard theory, it still hasn’t passed my own personal review, which depends upon the completion of the unified space-time theory, which is far from finished. (If anyone was thinking this post is long, they ain’t seen nothin’ yet…) However, as a show of goodwill, I have offered it for consideration as what an alternative to the Time Bastard theory might look like.
In closing, Chrono Cross does indeed establish that timelines are at least sometimes overwritten by choices made that affect the course of history. There is circumstantial and perhaps even some direct evidence to further suggest that time travel in particular can cause this overwriting. But the grain of all three Chrono games makes it very clear that certain people are special to the space-time continuum, and what might apply to them does not necessarily apply to others. At the end of the day, meaningful achievements are made, which could only occur if the universe were not littered with infinite timelines, discarded left and right at the drop of a hat, relegating entire infinitudes of people and things to the Darkness Beyond Time without good artistic cause—and, here at last, we should remember that these games are about art and leisure, more so than hard mathematics. Any attempt to explain their mechanics physically…should mind artistic license.