Theory of Space: a dated register of original claims, their status, and related independent work

Theory of Space (TOS) is a research programme that takes the tetrahedral–octahedral tessellation of space (TOT; its nodes form the FCC lattice) as a candidate structure of space and counts its scales by doublings from the Planck length. This note is a register, not a new derivation. It (i) separates what TOS takes from earlier work and does not claim, (ii) lists the claims made in Theory of Space. Volume 1. Structure (published 20 October 2026; https://theoryof.space/book/) by section, (iii) lists the claims of the TOS preprints by DOI, and (iv) records, with explicit status, results from unpublished drafts of the series that are published here for the first time. It closes with a list of independent programmes that reached overlapping pictures, with dates, so that the overlaps are stated openly rather than discovered later. Statuses used: proved (mathematics), observation (numerical agreement without mechanism), hypothesis (proposed mechanism, testable), open problem. Contact: Yevhenii Stakhov · [email protected] · https://theoryof.space