The Stream and the Algebra - A mathematic and physics paper series

The book series ‘The Stream and the Algebra’ presents a speculative research programme — a thought-experiment in the mathematics of relation, offered for scrutiny, not yet peer-reviewed or tested. Its wager: nothing physical is an absolute number (a mass means nothing until a unit is chosen), only how one quantity stands to another. It fixes the dimensionless relations the world determines and concedes one scale, the anchor; a firewall shares a structure's form across domains, never a bare number. Its sharpest stakes: an axion-free zero of strong CP, few-GeV asymmetric dark matter, and the tau mass from Koide read forward. From the fundamental particles it carries this idea to the vacuum, the classical world, and physics' open problems.

The shared apparatus of the series — ‘The Theorems, the Claim Registry, and the Calculation Notes’— presents the machine-checkable spine that every volume is read against. It is not a narrative volume but the programme's instruments of honesty, gathered in one place.

— The Theorems / Annex T, the master theorem map: the dependency-ordered architecture of every load-bearing result, each row a typed statement with its grade and its home.

— The Claim Registry: a stable identifier for each load-bearing claim, graded on two independent axes — R (rigour inside the assumed construction) and B (bridge to nature) — so an internal theorem is never read as a physical derivation; with the Open-Obligation Ledger naming, for each remaining debt, its falsifier, its needed input, and its stop-criterion.

— The calculation notes for Books II and IV, and the external-status locks that keep the programme current against JUNO, DESI, the neutron-EDM search and the collider bounds.

Its governing discipline: on any mismatch between prose and apparatus, the apparatus rules. The two-vector separation it enforces — a claim's own status is never the edition's release status — is exactly what lets the programme state, precisely, that its mathematical closure is settled while its physical validation stays open.