4. GUT, Quantum, and TOE → the Foundational Constraints
The candidate shape does not stand still once it is selected. Three linked bodies of work each take the same frozen geometry and push it against a different corner of physics — grand unification, the quantum-mechanical structure, and the whole-account theory-of-everything tier built on both. Every place one of them finds the shape straining against a measurement, or an assumption doing more work than it earned, that finding is fed back into a sharper statement of the Foundational Constraints. Refutations are kept on the record, not quietly dropped — the program's own disproved claims are published on Residuals with the theorem that killed each one.
The three manuscripts
Grand Unified Theory (GUT)
Takes one frozen compact geometry, feeds in a small number of measured anchors (the Planck mass, the gauge couplings, the top Yukawa, one quark-mixing angle), and asks the shape to return the Standard Model whole: the gauge sector with its exact 12 generators, the chirality structure, exactly three families as a topological index, hypercharge with every anomaly cancellation forced, proton safety, and 19+ flavor observables from the two flavor anchors alone. The discipline is freeze-before-compare: every comparison-relevant number is fixed before it is checked against data, so the construction cannot reach back and retune something it has already seen.
Quantum
Works out what the same geometry implies for quantum-mechanical structure: the Born rule reduced from a century-old free postulate to the only surviving rule on a discrete outcome set, positivity as a decidable property of one frozen object, freedom from both the textbook and the subtler global anomalies, and a ghost-free graviton with the correct Einstein limit — stating, for each, where the structure is forced by the shape and where a named posit is paid openly.
Theory of Everything (the whole account)
The whole-account tier layered on the GUT and Quantum results: black-hole entropy with the correct 1/4 coefficient recovered from a discrete count, the vacuum-energy catastrophe's runaway divergence dissolved (with the tiny residual value charged openly as a measured anchor, not claimed as derived), and the three foundations the whole construction rests on. Nothing is quietly folded into a passing grade: every posit and external dependency is named on its gate row.
The complete requirement bill — and where it stands
The three tiers are not graded on impressions. Together they define a complete, published bill of 33 typed requirement-gates: what a quantum theory must deliver (the Born rule, positivity, anomaly freedom, a well-behaved graviton…), what a grand-unified account must deliver (the gauge group, three families, hypercharge, flavor, proton safety…), and what a theory of everything must deliver (black-hole entropy, vacuum energy, the foundations). The board stands at 33 resolved at +0, 0 open — every verdict typed from a fixed endpoint vocabulary, every residual shown on its row. Most frameworks are never even scored against a complete typed requirement list; this one published the full bill and passed all of it. And the separate honest axis is stated just as plainly: 0 of 33 gates are physics-closed — every closure rests on declared measured anchors, with no experimental confirmation of the new content and no peer review yet. Provenance: the scoreboard and per-gate dossiers on Gates.
The discipline that keeps this honest
Each manuscript states its claims gate by gate, and every gate carries one label from a fixed status vocabulary — never a bare "closed" or "done." Two rules keep this from drifting toward overclaiming:
- Named, not smuggled. Where a gate rests on an external dependency — the Clay-class Yang–Mills wall, for instance, on which the framework says plainly "unsolved, we measure it" rather than claiming the $1M proof it could have faked — that dependency is named on the gate row itself. A binding rule forbids closing any gate by quietly relocating its difficulty into an unnamed elsewhere.
- Weakest links first. Each manuscript states its most vulnerable points at the front, before a reviewer has to go hunting for them — the ten most attackable claims in the GUT manuscript, for instance, are listed before the technical body even starts.
Over-determination — the test that separates this from curve-fitting
The headline number in the GUT work is an economy count, and it is stark: from two measured flavor anchors — the top Yukawa and |Vus| — the geometry returns 19+ flavor observables, with 6–8 more following from the Planck mass and the gauge couplings. A handful in, twenty-plus out; counted strictly across the whole construction, the labeled ratio is ~4×. More independent outputs than inputs, with per-entry tuning forbidden, is the signature of a construction that is constrained, not fitted — a model that needs one new number for every number it explains has explained nothing. That count, and the honest margin around it, is itemized in the manuscript itself and summarized on The Tests.
How this feeds back into the constraints
The Foundational Constraints are not fixed in stone after page 2 of this walkthrough. Every time one of the three manuscripts found a place the shape strained — a threshold correction that did not reproduce cleanly, an assumption that turned out to be doing unstated work — that finding became a tracked item with its own gate and its own named endpoint. This feedback loop — manuscripts pressure-testing the shape, findings sharpening the constraints — is what drove the register, item by item, to its current 33-resolved, 0-open state; and where the honest finding was "our earlier claim was wrong," the refutation is published on Residuals rather than deleted. See Gates for every gate and its terminal status.
Where this goes next
Foundational Constraints
The current, refined statement of the constraints, after feedback from all three manuscripts.
5. The process we built
How each open question gets attacked and graded, without letting a result get rounded up.