A constraint-first approach to design

This project began as an engineering experiment, not a physics project.

While developing design software for fluid systems, I started wondering whether a higher-dimensional geometric framework could make complex engineering problems easier to organize. Instead of searching directly through millions of possible designs, could a better internal representation eliminate impossible solutions before the optimization even began?

That idea became the foundation of our design engine. Today, every improvement to that internal representation improves the engine itself. We still generate conventional CAD models and verify them using standard engineering tools such as OpenFOAM. The research presented here is aimed at improving the internal building blocks that guide that process—not replacing conventional simulation.

To improve those building blocks, I needed increasingly difficult ways to test them. Fundamental physics provides one of the toughest test suites imaginable. Any useful framework must satisfy hundreds of tightly connected constraints while remaining internally consistent. Rather than treating those constraints as something to check after inventing a theory, I treat them as the starting point.

The objective isn’t to prove a particular theory. It’s to discover better building blocks.

If the constraints are complete enough, they should begin to define the pieces a successful framework must contain instead of allowing those pieces to be chosen arbitrarily. Every time a building block survives a harder set of constraints—or has to be rebuilt because it doesn’t—it improves both the research and the engineering systems that depend on it.

Everything on this site is part of that process. It includes the constraints I’ve extracted, one candidate framework being tested against them, and an honest record of what worked, what failed, and what remains unfinished. Failures remain visible because they are often more valuable than successes.

The site is organized into two parts.

The Gates are the test suite: individual questions that any complete framework would eventually have to answer, together with the criteria for passing or failing.

The Building Blocks are the reusable components being developed from those constraints rather than assumed in advance. They are revised whenever stronger constraints expose weaknesses or suggest a better construction.

My hope is that the Gates become useful well beyond this project. If they’re asking the right questions, they should help evaluate any candidate framework. If the Building Blocks continue to improve, they should also continue improving the engineering design systems built on top of them.

→ The Gates — the constraint set and current results
→ The Building Blocks — reusable components derived from those constraints

Things that surprised us

A note on rigor. I’m encouraged by these results, but they should be read for what they are: preliminary. Much of the early work consisted of back-of-the-envelope calculations intended to answer a simple question: was there enough here to justify deeper investigation? Some analyses have since been completed rigorously; many are still in progress, and there are known gaps and errors that remain to be addressed.

What surprised me wasn’t that the framework appeared promising as physics—it was that refining the underlying building blocks consistently produced useful improvements in our engineering design engine. That unexpected feedback loop is the main reason this work continues. The ideas presented here should be viewed as an ongoing effort to improve those building blocks rather than as a finished theory.

one The Vortex-Killing Elbow Joint Electromagnetic flow meters perform best when the incoming flow is stable and fully developed. Unfortunately, real piping systems rarely provide ideal conditions. Elbows, valves, pumps and other fittings introduce swirl, secondary circulation and velocity distortions that reduce measurement accuracy and often require long straight pipe runs before the meter.

→ The result is the vortex-killing elbow joint.

Two Can better geometry design a better quantum computer? We built a quantum-computing design for one reason: to test whether our internal geometry actually improves engineering. Running the design engine without the geometry failed to discover simulated architectures below roughly 4,000 physical qubits per logical qubit . As the geometry and its supporting building blocks were refined, the design engine identified a new search space with constant simulated overhead, eventually producing a candidate requiring approximately 19 physical qubits per logical qubit under reasonable noise assumptions.

→ See how the design engine works

Three Reconstructing geometry from the Standard Model We treated the Standard Model as a geometric reconstruction problem. Its gauge forces, charges, chirality, three families, anomaly cancellation, Higgs structure and flavor requirements became constraints that progressively eliminated incompatible geometries. What remained was a fully specified internal structure—stage, rulebook and actors—that can be reconstructed at full precision and tested one requirement at a time.

→ See how the Standard Model constrained the geometry

Four The age of the universe — a second, independent way — and what came before. A method sharing no machinery with standard cosmology rebuilds the timeline and lands on the same 13.8-billion-year-old universe: 44 milestones checked blind, 30 agree, 0 disagree. And it says plainly what the Big Bang was — the beginning of the knowable, the first payable record, not the beginning of time. Proven: the 44-milestone scoreboard → 14 rows remain honestly indeterminate; not peer-reviewed.

Five Reconstructing the quark sector from the Frozen Shape A source-controlled dossier follows the chain from the frozen Shape through Standard-Model routing, the finite flavor chamber, Yukawa operators, six quark masses, CKM mixing and CP violation. It separates replayable structure from unresolved provenance and keeps the technical claim boundary visible.

→ Read the quark reconstruction dossier

The three deep roots — everything rests on these The Shape One frozen 13-dimensional geometry The single hash-locked object — 4D spacetime × K₆ = SU(3)/T², a 2-sphere, a folded hypercharge circle — that hands back gravity and the whole Standard Model. Selected by the constraints as the most economical complete carrier, not proven unique. The Scale One absolute measured ruler A single dimensionful scale that sets the size of everything else. Anchored to measurement, honestly — never derived from nothing; at least one absolute ruler is always required. The Granularity A finite finest grain A cost-floor on distinguishable records — a smallest payable step, not a smallest length or a preferred frame. Posited as a primitive and credentialed by negative-control counter-models, not by a minimality proof.

See how every result is anchored to two layers →

This is the current front page. The previous front page is preserved unchanged at the previous home →, and the earlier single-page version at the v1 home →.