I think this is somewhat confused. There is a possible connection here, but
it is through quantum mechanics. Mariam Mirzakhani won the Fields Medal in
mathematics for her work on the entropy of curves in hyperbolic spaces. In
two dimensions this space is the spatial surface embedded in an anti-de
Sitter spacetime AdS_3. These curves are arc that are for standard cases
the geodesics in a Poincare disk. The Ryu-Takanagi theorem illustrates how
these curves, or for AdS_n spacetimes with higher n such as AdS_5, bound
causal regions that can be entangled in the AdS_5. These entanglement
regions define an entanglement entropy with the RT formula.
For a body moving in spacetime the standard idea of general relativity is
the path followed is the extremal or maximal length in that spacetime.
Because of the Lorentzian metric the minimal condition for action becomes a
maximal condition. This insures the path a particle follows is the extremal
path in a spacetime, which is particularly important if the spacetime is
curved. The quantum entanglement analogue of this would be that a particle
or quantum wave will evolve according to its maximal entanglement with
spacetime. This has the implication that spacetime itself is built from the
entanglement of fundamental quantum states or fields. Then in that case we
could say the path a particle follows in spacetime is determined by the
maximal quantum entropy that particle has with spacetime.
LC
On Thursday, February 14, 2019 at 11:46:45 AM UTC-6, Mindey I. wrote:
>
> So, we have just had a discussion[1] start on halfbakery on the similarity
> between an object in gravitational field, and an "information object" in
> the entropy field. In summary, we can think of information content as an
> object, the state of which is function of mutation rate ("entropy field"),
> and replication rates ("centrifugal force field"). That suggests, that we
> may be on a collision course with an alien computational universe, and we
> need a technological singularity to amplify our kind of randomness to
> escape the pull of their entropic field (their kind of pseudo-randomness,
> which to us appears as entropy or true randomness).
>
> I think this relates directly with the questions, that Wei Dai has posed
> in the announcement post ( http://www.weidai.com/everything.html ),
> asking why do we believe that both the past and the future are not
> completely random, but the future is more random than the past.
>
> Any thoughts or input, regarding how our universe may be moving or
> interacting with respect to other (computational) universes, would be very
> interesting. Also, what would this inter-universe medium, that would allow
> computational universes interact would be? Based on previous discussions, I
> suppose it is obvious, that the 'Everthing" is one, and the origin of
> 'Everything' may be out of 'Nothing', however, since there may be multiple
> ways for that derivation to happen, the space of computational may be
> hierarchical and not entirely void.
>
> [1] https://www.halfbakery.com/idea/Information_20Rocket
>
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