On Sunday, January 6, 2019 at 10:10:36 AM UTC-6, Jason wrote:
>
> I am trying to make a list of what properties are comparable between two 
> universes and which properties are incomparable. I think this has 
> applications regarding what knowledge can be extracted via simulation of 
> (from one's POV) other abstract realities and worlds (which may be actual 
> from someone else's point of view).
>
> So far this is what I have, but would appreciate other's 
> insights/corrections:
>
> Incomparable properties:
>
>    - Sizes (e.g., how big is something in another universe, is a galaxy 
>    in that universe bigger or smaller than a planet in our universe?)
>    - Distances (what possible meaning could a meter have in that other 
>    universe?)
>    - Strength of forces (we could say how particles are affected by these 
>    forces in their universe, but not how they would translate if applied to 
>    our own)
>    - Time (how long it takes for anything to happen in that other 
>    universe)
>    - Age (when it began, how long the universe has existed)
>    - Speeds (given neither distance nor time is comparable)
>    - Present (what the present time is in the other universe)
>    - Position (it has no relative position, or location relative to our 
>    own universe)
>
> Comparable properties:
>
>    - Information content (how many bits are needed to describe state)
>    - Computational complexity (how many operations need to be computed to 
>    advance)
>    - Dimensionality of its objects (e.g. spacetime, strings, etc.)
>    - Entropy
>    - Plankian/discrete units (e.g. in terms of smallest physically 
>    meaningful units)
>
> Unsure:
>
>    - Mass? (given forces are not comparable, but also related to energy)
>    - Energy (given its relation to both entropy and mass)
>
>
> So if we simulate some other universe, we can describe and relate it to 
> our own physical universe in similar terms of information content, 
> computational complexity, dimensionality, discrete units, etc. but many 
> things seem to have no meaning at all: time, distance, size.
>
> Do these reflect limits of simulation, or are they limits that apply to 
> our own universe itself?  e.g., if everything in this universe was made 
> 100X larger, and all forces similarly scaled, would we notice?  Perhaps 
> incomparable properties are things that are variant (and illusory) in an 
> objective sense.
>
> A final question, are they truly "causally disconnected" given we can 
> simulate them? E.g. if we can use computers to temporarily compel matter in 
> our universe to behave like things in that simulated universe, then in some 
> sense isn't that a causal interaction?  What things can travel through such 
> portals of simulation beyond information?
>
> Jason
>
> P.S.
>
> It is interesting that when we consider mathematical/platonic objects, we 
> likewise face the same limits in terms of being able to understand them.  
> e.g., we can't point to the Mandlebrot set, nor compare its size in terms 
> of physical units.
>




This is the idea of the *matter compiler,* first in SF, and now in NSF 
research projects.


- pt 

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