The Stream and the Algebra - A mathematics 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presents a speculative research programme — a thought-experiment in the mathematics of relation, offered for scrutiny, not yet peer-reviewed or tested.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 third volume of the series ‘The Crystallisation of the Classical World’ makes the notion of settling dynamical.

— On the one modular shape-space, three attractors: the interior complex-multiplication vacuum τ = ω (where flavour settles), the boundary real-multiplication tori (the golden and metallic ratios), and a renormalisation fixed point — the generations resting at the interior one, their residual departure sourced by the dynamics, not assumed.

— The programme's group SL(2,ℝ) runs through the classical world: scale-invariant motion; relativity (Lorentz as its complexification SL(2,ℂ)); gravity as a boundary flow, Newton's constant the conceded scale; the golden angle of phyllotaxis; and cosmology, with the vacuum energy standing as the last anchor.

— The quantum-to-classical transition is one more crystallisation; the closing arc gathers time as the axis of the Law's descent, chirality and the arrow of time, and baryogenesis read with the CP phase as three registers of one orientation-odd departure (the matter sign itself conceded), ending with an honest ledger separating the few genuine forecasts from the many postdictions.