Interpretation of Momentum?

Index position by a grid of light cones , which is effectively the causal graph [ “grid of elementary light cones” ]
Any effect propagates through spacetime on the edges of these light cones.... (everything is at least locally going on a null geodesic) [cf refractive index of water, etc.]
Possible claim: more energy, more nodes
Effective dimension of spacetime cones....

What Spacelike Hypersurfaces Correspond to an Inertial Frame?

The surface must always be spacelike... can we enumerate all spacelike surfaces through a point?
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Given an event, find the spacelike separated events
Can we find a sequence of surfaces that fill the spacetime, but are always spacelike?
The foliations correspond to layerings of the causal graph
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LayeredGraphPlot
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Claim is that a hypersurface is a collection of edges (i.e. a bunch of pieces of elementary light cones)
Foliation is a parametrized enumeration of edges
Layering defines the observer’s frame
Does following the elementary light cones propagate you smoothly from one hypersurface to the next?
Jonathan’s claim: density of edges defines momentum; complete graph is maximum density