I am a liberal arts student, here are just some new ideas that I exchanged and discussed with my friends, which can explain that some viewers think it may be a "bug", but it may not be a bug.
After watching the movie, although I like it very much, and most of them can figure it out, the five-dimensional space that appeared behind Murphy’s bookshelf and the causal cycle that followed have made me a little bit concerned—
this is the paradox.的:
If the higher-dimensional human "they" in the future guides Cooper to save the ancestors in the past, it means that the future of "humanity has not perished, and enters a higher dimension" has already happened, so Cooper has only one possibility anyway. It is to save sentient beings by relying on the fetters of her daughter. There is no other possibility, because the future is already fixed. If he and his daughter fail, then humans will cease to exist, and there will be no "they".
So it’s like there is B (future man) because there is A (Cooper rescue), but there is no B (future man’s guidance), and there is also no A (Cooper rescue), the two are mutually necessary conditions. Form an eternal cycle.
Although the causal cycle occurs from time to time in other sci-fi/magic works, in front of Nolan, a director who focuses on explanation and logic, and such a film that strives to be realistic, the style of painting is a bit inconsistent.
So my friends and I began to discuss how to use the information Nolan gave us to break the explanation of the causal cycle and make a more reasonable explanation.
First of all, the first tool is dimension.
The first three dimensions are not explained. The fourth dimension is time. To put it simply, I was born more than 20 years ago. At this moment, more than 20 years later, I am writing this article to experience the experience of a person in my three-dimensional world. Think of this period of time as a period of time and behavior superimposed together, it is four dimensions.
It can also be said that if you think of a three-dimensional creature as a point, the four-dimensional is a line, the head is the me who was more than 20 years ago, and the tail is the me at this moment.
But this line has no width or depth. It is unidirectional, just like the X axis in the number line. Only by adding a y axis to it and the intersection of two lines can we get the fifth dimension.
What are these two lines? There are two possibilities. In short, if I was suddenly struck by lightning for more than 20 years and gained superpowers, and then no longer mediocre, then the life derived from that point in time, For this whole period of time, this me is no longer the same as this moment. From that point on, a new timeline was "drawn".
The different timelines triggered by countless possibilities constitute the fifth dimension.
At this time, the situation is different. People in the lower dimension cannot perceive the existence of the upper dimension, or even the limitations of their own dimension, but people in the higher dimension can perceive the lower dimension. It’s as if we drew a cartoon character. If it has its own consciousness, it will not feel that it is just a collection of dots, lines and faces. It is a character in a story, but people in our three-dimensional world can clearly go from top to bottom. Examine it down.
Therefore, people in the fifth dimension can move back and forth on different timelines (that is, the fourth dimension) like a maze ball, and make adjustments. But people in the fourth or lower dimensionality, like the walls of a maze, can only see or are safely in their own timeline.
Now comes the problem. If we want to break the infinite loop of causality, there is only one explanation, that is, people in the fifth dimension, not the descendants of these people saved by Cooper. That is, in the previous formula, A (Cooper rescue) is not the root of B (future man).
So whose descendants are these people in the future?
Believe that you should have a feeling when it comes to this, that is the second tool used to break this causal cycle, Plan A and Plan B set by Nolan.
Those humans who enter the fifth dimension are actually Plan B, the descendants of humans that Amelia reproduced on another planet.
And these children and grandchildren, they know that they are the product of plan b, their ancestors have all been destroyed on the earth at some point in the past.
After entering the fifth dimension, they can see the timeline of the fourth dimension, but although people in the fifth dimension can see the timeline, they cannot directly modify it. Isn’t it right to send the dead ancestors to themselves? Possibly, this is something that the sixth dimension of life can do.
Therefore, if they want to change a certain event in the past, they still have to go back to that point in time in the past, and let the people on that timeline make a certain behavior change by themselves, thereby producing different results.
The problem now becomes, if these descendants of plan B, citizens of the five dimensions, want to save these ancestors who were abandoned and perished on earth due to the failure of plan A, it is necessary to change a certain event to make plan A at that time. Can succeed.
This incident was the Morse code that Murphy used to solve the gravity formula under the guidance of the watch pointer.
Why must Cooper and TARS enter the hypercube space? It’s because people in the fifth dimension cannot directly communicate with people in the lower two dimensions (just like you can’t fall in love with comic characters, so sad), the fifth dimension. There is no way for people to grab the old professor or Murphy by the neck and say that this is the data you want to save mankind, they can't hear it. Therefore, people in the fifth dimension can only use prompts and guidance to enable people in the third dimension to obtain the data themselves.
This hint is the four-dimensional cube behind the bookshelf. They introduced Cooper through the black hole (perhaps the wormhole inside, because people in the fifth dimension are known to have the ability to construct wormholes), and then asked him to give Murphy's gravity data so that Murphy successfully solved the equation. It also made Plan A a success, and the people on the earth were saved.
This avoids the paradox of the causal cycle, because the success of Plan A has nothing to do with Plan B, so the descendants of successful Plan B only save the first batch that was abandoned due to the failure of Plan A. Humans only.
Regarding the four-dimensional space behind the bookshelf, my friend and I discussed it for a long time and finally determined that it is four-dimensional, because the four-dimensional space is a single timeline, just like Cooper can quickly walk forward behind the bookshelf and see what happened in this small room. All the events in so many years. But he has no way to see other timelines.
This also explains why four-dimensional space and anomalies appear near Murphy. It is not unreasonable for "they" to choose Murphy.
On the original timeline of the fifth dimension, Murphy may also be a scientist studying gravity. Cooper also entered NASA and space, but did not enter the hypercube, and did not give Murphy a hint of data. In the end, humans on Earth perished, but Amelia's Plan B was successful.
The failure of Plan A was precisely because the old Brandi and Murphy could not solve the equation, so the moment Murphy was able to solve the equation was the key, changing the node of the original timeline.
This node happened at the moment Murphy wanted to understand the meaning of the pointer on the watch. In this moment, what is needed most is the bond between Murphy and his father. Therefore, Cooper was selected to enter the four-dimensional space, because only his departure would Murphy have such deep concern and such strong obsession. , Made her return to the room to find the answer, and only his prompt, Murphy can feel it.
In this sense, this kind of fetters and misses, just like the line said, are truly transcending dimensions.
There are still some things that I haven't figured out, so I think of adding more.
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List some of what I thought of later.
Indeed, even if plan A and B are used to try to bypass causality, they will actually enter causality again. After all, the success of Plan B depends on wormholes. , So the role of "they" on Plan B is unquestionable. Looking at it this way, people in the fifth dimension definitely participated in the plan to save their ancestors.
But I just saw the picture of the Ubis ring and suddenly thought, Isn't the concept of causal cycle only valid in the three-dimensional world of single linear time? The core of causality lies in time. For high-dimensional life, time has become an entity and can jump to any node on this line segment, so the definition of causality is no longer important.
Suppose that the causal cycle described in the movie is thought of as the Ubis ring, and we are an ant crawling on the Ubis ring in the three-dimensional world, and we may also be confused by the head and tail of the Ubis ring. , Which is the front side (cause) and which is the back side (effect)? But for the people of the five dimensions, this is just an effect they can achieve through a small means (just like we bend a piece of paper to make a Ubis ring). We fold the paper and they fold the time.
Therefore, discussing causality in this sense is actually not important. For the dimension that can regard time as an entity, causality based on the assumption of before and after time is also meaningless.
My friend also thought that if Cooper finds the humans on Amelia and Plan B in the end, and stays and preserves his will, then the humans on Plan B knew from the beginning that there would be this plan. When they develop After reaching the high dimension, they will follow the content in Cooper's memory and save their past ancestors-struggling humans. For them, this redemption has already happened, but it has not happened yet.
Will it fail?
Don't forget Murphy's Law, which is repeatedly implied in the film.
For high-dimensional people, this is the case. This redemption is to realize the possibility of all human survival and avoid the possibility of a total failure of Plan A.
In the final analysis, it is still one of many possibilities, "maybe" it will happen, but it is also an already determined future. As long as it is on this path, everything will happen eventually.
Something may happen, will happen.
In addition, when I discussed with my friend before, I thought that the back of the bookshelf is five-dimensional. The evidence is that only five-dimensional space can see time as a materialized thing, but my friend thinks it is four-dimensional, because TARS mentioned the hypercube. The cube is three-dimensional and the hypercube is four-dimensional. In the end, my friend convinced me, but it was still quite different.
In short, it is really interesting to think about it. Welcome to discuss~
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