The Road Behind

Walking the shape of the space

This is an experiments page, off to the side of the main argument. The actuality space RP³ is a closed three-manifold, and here you can move around inside its shape and feel how it closes. It is an intuition playground for the shape of the actuality space — a model of that shape, and nothing more. It makes no claim that light circumnavigates actual space; the point is the geometry, walkable.

The road is a full closed loop through RP³, and that loop is the generator of the space's fundamental group, π₁(RP³) = ℤ₂. Follow it halfway and you return to a mirror image of where you started; follow it all the way and the mirror resolves. The flip rides on the one-sidedness of the surface the loop traces, which the loop itself causes. This ℤ₂ is related to the ℤ₂ that appears in the Born rule elsewhere in the framework; here it is a picture of that structure's shape, and it should be read as geometry rather than as the Born-rule mechanism itself.

What is drawn here is drawn exactly: the loop, the mirror return, and the way the surface closes are the true geometry of RP³, made walkable. It teaches the stage the framework plays on, and it stands apart from the argument the rest of the site makes.