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Assumptions of Physics · May 31, 2026

Weekly update (5/31/2026)

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Gabriele Carcassi · Assumptions of Physics

Slow week.

Ensemble spaces. Integrated a couple of little things from Demitri. I think we should be able to prove the topological embedding for finite dimensions. The idea is we can prove that finite-dimensional simplexes are compact sets in the topology of the ensemble space, which should allow us to prove that affine functionals (i.e. physical quantities) are continuous in finite dimension. This would finally close something I have been trying to prove for a good year at this point.

For the rest, I have been working on the presentation for two weeks from now and minor fixes (embarrassing mistakes) on one of the technical brief. This means: if anyone wants to go through the technical brief and check grammar/math, that would be appreciated!

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