Guided B01–B29 walkthrough · live suite B01–B38

Eighty-eight tally rows.
One header.
Every status visible.

Every claim in SDT must survive a single executable. The benchmark suite pulls its values — from the hydrogen spectrum to a binary pulsar's decay — out of laws.hpp and grades each against experiment. The live B01–B38 suite reports 66 earned predictions, 19 identities and three PENDING note-only rows. This guided walkthrough explains B01–B29: what each test was for, what it showed, and where its result is used.

James Christopher Tyndall — Melbourne, Australia

Method

How the suite grades itself

One file, six certification labels, a self-falsifying scoreboard.

Each row computes an SDT value purely from laws.hpp, compares it to a measured value, and passes only if the error sits under a pre-declared tolerance. Crucially, the suite separates a genuine regression from a known-open problem: a PENDING item that misses is flagged, not buried, and the program returns success only when zero genuine failures remain.

DERIVED — from the axioms, no external input beyond CODATA constants
COMPUTED — a deterministic calculation through the Law framework
OBSERVED / CALIBRATED — validated against data / one documented fitted parameter
PENDING — mechanism identified, SDT-native derivation not yet implemented (a flagged open item)
The one calibration

The whole suite leans on a single fitted peg — the hydrogen Coulomb force at the Bohr radius, which sets the effective pressure Peff. Everything else is derived or computed from there and the permitted constants. No benchmark is individually tuned to pass.

Act I — Atomic structure

The spectrum of hydrogen, from one rotation field

The atom is SDT's cleanest proving ground: a single electron in the proton's rotation field v(r)=cα√(a₀/r), with the Rydberg constant forced by {me, c, α, h}.

Act II — Thermodynamics

Blackbody constants and transport, from spation contact

If light is the lattice's relay, the radiation constants and transport scalings fall straight out of {ℏ, kB, c} — no kinetic-theory fudge factors.

Act III — Gravity & orbits

Newton, Einstein, and a pulsar — with no G and no M

SDT replaces GM with the koppa length ϟ = v²R/c². These rows recover orbital velocity, Mercury's precession, light deflection and the Hulse–Taylor decay from v and R alone.

Act IV — Stellar & cosmological

From a star's surface to the cosmic microwave background

The same identity zk²=1 that fixes an atom fixes a star; the CMB redshift is a temperature ratio, not an expansion; flat rotation and the BAO scale are geometric, not dark.

Act V — Electromagnetic, particle & nuclear

The electron's moment, the proton's radius, the nucleus's binding

Here the vortex topology earns its keep: the g-factor from the wake, the proton radius from the W+1 winding rule, beta-decay from the bare mass difference, helium binding from occlusion geometry.

Act VI — Universal closures

The identities that stitch every scale together

The load-bearing identities — the budget closure, the force and pressure hierarchies — that let one mechanism span 33 orders of magnitude.

Act VII — The investigation capstones

Where the CQ investigations became benchmarks

The newest rows are earned results folded back from the CQ investigations: the trefoil's topology, c reconstructed from orbital geometry, the depth-closure keystone z=ϟ/r, and a gravitational-wave chirp read as a length.

The verdict

What the suite establishes — and what it still owes

The current B01–B38 executable reports 66/66 earned predictions passed, 19 consistency identities, zero calibrated rows and three PENDING note-only rows. B37 is a standing prediction without a measured response corpus and is not tallied.

The remaining debts, kept on the wall

B11 — planetary oblateness J2. The GOM41 Q1 resistance boundary puts Earth and Jupiter within 3%, but the registered six-planet corpus fails. Native interior resistance profiles for Mars and the giant planets remain unresolved.

B18 — He-4 contact. The FLM07 proton boundary is derived; the separate helium contact row still uses the shared form 2R_p and remains PENDING despite its 0.44% correspondence.

B37 — rank-4 anisotropy. The tetrahedral fourth-moment band and reducer are frozen. No physical directional-response corpus has yet been measured.

Those debts stay visible without entering the earned tally.