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RSS Feed for Wolfram Community showing any discussions in tag Wolfram Fundamental Physics Project sorted by activeWolfram's concepts deeply help with Quantum Observer questions!
https://community.wolfram.com/groups/-/m/t/1989932
What can be interpreted with Wolfram et al's concepts is the existence of two main overall dimensions: an Updating Event dimension~ and a Relations Processing dimension~~
~ I am using the word dimension here to refer concisely to a set of n-subdimensions but supradimension or omnidimension would be most suitable too!! (Any universe is essentially an "Updating Event" isn't it!)
~~ This would be the complete Quantum Observer that is required for every Updating Event to happen coherently, here speculated to exist in the form of an "exotic extra" dimension (or possibly n-subdimensions) as often mentioned by Dr. Lisa Randall, that perhaps is the state-opposite of the Updating Event dimension, and having the full capacity to process every single updating event and its corresponding relations between distinct elements!
~~~~~~~~
> It all begins with something very simple and very structureless. We
> can think of it as a collection of abstract relations between abstract
> elements. Or we can think of it as a hypergraph—or, in simple cases, a
> graph. [...] And when we draw the graph, all that matters is what’s
> connected to what; the actual layout on the page is just a choice made
> for visual presentation. It also doesn’t matter what the elements are
> called. Here I’ve used numbers, but all that matters is that the
> elements are distinct.
Upon rereading the wonderful long [article][1] it also seems like the two overall dimensions could be described as the Hypergraphee and Hypergrapher dimensions!
[1]: https://writings.stephenwolfram.com/2020/04/finally-we-may-have-a-path-to-the-fundamental-theory-of-physics-and-its-beautiful/ "article"Marie Brouillard~Crémeux2020-05-29T14:21:54ZSpacetime vs speed of light varying with position
https://community.wolfram.com/groups/-/m/t/2046627
In one of his videos in the Wolfram YouTube channel, S. Wolfram said:
> If I wanted to pick a possible wrong term in the history of physics,
> which is probably about 100 years ago, it would be when people
> [Poincaré, Minkowski, etc.] started saying that space and time are
> the same kinds of things.
Indeed, in the English translation of his 1920 book "Relativity: the special and general theory" A. Einstein wrote:
> according to the general theory of relativity, the law of the [speed]
> of light in vacuo, which constitutes one of the two fundamental
> assumptions in the special theory of relativity [...] cannot claim any
> unlimited validity. A curvature of rays of light can only take place
> when the [speed] of propagation of light varies with position.
So, for A. Einstein, what other physicists called the curvature of spacetime, was the fact that the speed of light varies with position. For more details, I recommend the lecture [Why Herrmann Minkowski Was a Disaster for Physics][1] of Alexander Unzicker.
[1]: https://youtu.be/TDjgQ_megMIJosé Manuel Rodríguez Caballero2020-07-28T01:41:20ZProblem of large rules in rulial space
https://community.wolfram.com/groups/-/m/t/1965281
In [Section 8.22 of Technical introduction][1] concerning rulial space we read:
> In principle there are an infinite number of such rules, but any rule
> that involves rewriting a hypergraph that is larger than the
> hypergraph that represents the whole universe can never apply, so at
> least at any given point in the evolution of the system, the number of
> rules to consider is finite.
Is this in fact true? Given any graph rewriting rule of the form $n_k\rightarrow m_k$, value of $n$ is bounded by the current size of the hypergraph, but there seem to be no bounds on $m$. If so, there is actually infinite number of rules that can be applied at any given state of the hypergraph representing the whole universe. The consequence of this is that the evolution graph with use of possible rules is actually fully connected infinite graph, since there is always a rule transforming any possible state of universe (for given $k$) into any other state, both "future" (with hypergraph larger than one in the current state) and "past" (smaller hypergraph), for example by taking the entire hypergraph and rewriting it entirely into another one.
Possible arising problem is whether such evolution of the universe agrees with what we experience as observers? For simplicity, let us assume $m$ fixed to be comparable to the size of the hypergraph at the given stage of evolution. Comparatively small rules, allowing for elegant evolution and producing (hopefully) emergent properties of our universe constitute smaller and smaller fraction of all possible rules as evolution progresses, while large rules almost always transform current hypergraph into universe with no special structure, since among all possible hypergraphs, the structured ones are only tiny fraction. One can answer that conscious observer cannot survive rewriting structured hypergraph into unstructured one, since it is the structure of hypergraph that allows for existence of conscious observer, and that is why we observe only well-structured universe. But there is still highly probable that we find ourselves in one of this almost-normal universes, where maybe simple rules dominate evolution but occasionaly there happens something caused by large-rule rewrite, which does not stop our existence (perhaps some item on my desk suddenly disappears or creates itself out of nothing :)). The problem seems to follow in some sense the [Bolzmann brain argument][2].
So can there by any natural constraint on $m$ in "all possible" rules $n_k\rightarrow m_k$?
[1]: https://www.wolframphysics.org/technical-introduction/potential-relation-to-physics/multiway-systems-in-the-space-of-all-possible-rules/
[2]: https://en.wikipedia.org/wiki/Boltzmann_brain#Identifying_whether_oneself_is_a_Boltzmann_observerDominik Rzepka2020-05-05T09:22:08ZWhat does the Wolfram Model say about the heat death of the universe?
https://community.wolfram.com/groups/-/m/t/2008340
I'm asking this question to spur a discussion that might lead somewhere interesting.David Barksdale2020-06-19T20:32:25Z