Thought experiment regarding non-linear causal nets using an analogy of "dynamical chess"
Imagine a flexible chess board where each move of the chess figures alters the board. And each alteration of the board has effects on the figures as well, causing alteration in the behavior of the figures [a.k.a. the rules each figure has as a pre-defined rule]. | (That's entanglement of feedback-loops.) - This leads to chaotic behavior, making predictions even more difficult and "turbulent".
[This sort of chess is like the interaction between spacetime and matter.]
Following a helpful quote by John Wheeler:
"Spacetime tells matter how to move; matter tells spacetime how to curve."
- John Archibald Wheeler, Geons, Black Holes and Quantum Foam: A Life in Physics
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Why do I use the neologism "non-linear causal nets"?
There is a kind of idiom-like brabble, called "causal chains". It states a linear string of cause-and-effect. This is often far too simplified for explaining real-life phenomena, because often there are far more causes to an effect than just one. There happen many "causal chains" simultaneously, so to speak. These causal chains are entangled. Multiple of such linear cause-and-effects are entangled, until they are no longer a linear-string or multiple linear strings, but a complex web. Each causal chain alters each other. That is basically a fundamental principle often recognized in quantum mechanics - interference.
It describes conservation of momentum in an analogy-based and merely imagination-based language of knots and loops, similar to some approaches of string theory and (loop) quantum gravity.
Information weaving
"Information weaving" might be the silly name I would use for that collection of conceptions and re-interpretations.
"Information transforms" in this conception are weaving patterns. In concrete, these are interaction patterns like
- replication of interaction pattern (like law of inertia)
- and interference/alteration of interaction pattern (momentum).
These two transforms are the two primary transforms. You can combine them and create all possible sorts of patterns.
Furthermore,... these relate to addition and multiplication of imaginary numbers, resulting in either a translation or a rotation in the complex plane... These might relate to the information transforms stated above.
But the research regarding this is really difficult and curently my mind is too sluggish and too over-crowded to compute it well enough.
It might take some years until it's less mad nonsense.
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Spacetime as emergent property of entanglement
It from Qubit is a collaboration by researchers in fundamental physics and quantum information theory to solve some of the deepest problems
I enjoy the project It from Qubit and Polymath Vijay's interpretation that spacetime is emergent due to entanglement.
In my interpretation/analogy of "information weaving" time is a string, and space is the web consisting of that string. Space and time are hence "two aspects of one and the same thing".
This is especially interesting if you consider the difference between a time and a space dimension.
A space dimension has two ways of propagation, so to speak: left-right, top-down, before-behind... (to put it in plain words)
When it comes to the time dimension, I consider it to have only one propagation direction: The future, like in the conception of the arrow of time.
But here it becomes complex. Since time is "mono-directional", say, it has only one direction to propagate towards, it might interact with itself - via feedback-loops. This results in literal entanglement if you consider the arrow of time to be a simple string. Loop, knot and weave that string/arrow with itself and you might have spacetime as a complex result, so to speak.
In regards to quantum entanglement and superposition this interpretation might make sense as well, but I am not far enough with my research about that topic to summarize it coherently.
Furthermore, you can also define quantum gravity as the "degree of clotting": or, say: Let's interpret gravity as a principle of clustering: Areas with more density gain density, and areas with less density lose even more density, to reduce gravity to its primary principle.
Gravity is hence a re-distribution, a re-ordering of matter, or information, so to speak...
In regards to my information weaving conception, quantum gravity defines the density of information. It also defines how information re-distributes itself over time.
How the clustering happens depends on the patterns of interaction. And the patterns of interaction are affected by clustering as well. (Leading us back to Wheeler's quote above... )
What is "information"?
I regard information as an interaction pattern, a pattern in the web of causal nets, so to speak.
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This is all a bit difficult to summarize. I will visualize it once I have summarized the parts of it well enough.
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That was my literally chaotic thoughts as of today. It's a bit (/very much) incoherent.