On Saturday, January 19, 2019 at 11:20:16 AM UTC-6, Philip Thrift wrote:
>
>
>
> On Saturday, January 19, 2019 at 5:42:12 AM UTC-6, agrays...@gmail.com 
> wrote:
>>
>> Since it seems conceptually impossible to model a theory with DISJOINT 
>> discrete spatial units, thus requiring the units to be juxtaposed, do such 
>> theories acknowledge difficulty of motion between the units, which might or 
>> might not have boundaries? TIA, AG
>>
>
>
> In quantum space or quantum spacetime approaches (like loop quantum 
> gravity, casual dynamical triangulation), space or spacetime is in really a 
> collection of 3D or 4D *cells *(tetrahedra or pentahedra) that are 
> "glued" together somehow.
>
                                                                            
> or 5-cells here [ https://en.wikipedia.org/wiki/5-cell ] 

>
> There is no "space"  in the conventional Euclidean of Riemannian  
> geometrical/metrical sense, so these cells aren't *in* space (there is no 
> space inside of them or between them). The cells collectively *are* space.
>
> - pt
>
>
>
One could have cellular space (leaving time as it is) or cellular spacetime 
(LQG).

- pt

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