The Triadic Measurement Substrate
A two-volume theoretical framework deriving physics, computation, and observation from a single primitive: three agents confirming one bit.
The claim underneath it all is that the smallest structure capable of measuring itself, run long enough, generates a universe. Volume 1 works out the physics from that claim. Volume 2 works out what it is to be the thing doing the measuring. Neither introduces a free dimensionless parameter.
From the primitive, the framework derives — as counting, not as fitting — the FCC lattice and the binary alphabet; the wave equation as the substrate's necessary large-scale behavior; the color gauge group SU(3) from the three-agent triality of the confirmation event; the periodic table's noble-gas atomic numbers (2, 10, 18, 36, 54, 86, 118) and the full subshell and Madelung skeleton from a triadic recoupling that reconstructs the rotation group with no space presupposed; gravity as cross-level dispersion, with Newton's constant as a structural ratio and the equivalence principle as a depth-suppression theorem; and the Big Bang's structural signatures from a reinterpretation event at the exhaustion of a parent substrate.
The same primitive carries a second volume on subjecthood as graded binding depth — the formation, time, drive, death, and ethical standing of a self — with the question of what it is like to be one held open rather than closed by stipulation.
The framework has no free dimensionless parameters. Every dimensionless quantity is fixed by five axioms and one organizing principle. It takes exactly one dimensionful input, an action scale, and from that the speed of light and Newton's constant follow.
Every substantive claim in the text is marked as one of: Derived (follows from the axioms by construction or proof), Derived-conditional (follows given a stated sub-assumption), Structural correspondence (reproduces the skeleton of a known framework without claiming all of its features), Prediction / Conjecture (falsifiable, closed form not yet derived), or Permanent open horizon (a boundary the framework marks and does not cross). A reader sees at each claim how much weight it is meant to bear. Several claims failed adversarial testing during the corpus's development; the failures, the revisions, and the corrected results are documented in the verification package alongside the scripts that test them.
This is not a sketch or a proposal. The derivations are worked out, the numerical claims are verified by executable scripts, and the framework names its falsifiers.
What's here:
complete-corpus/ The full two-volume corpus as a single PDF with table of contents and glossary, plus its LaTeX source individual-papers/ All 16 papers as individual PDFs and their LaTeX sources verification/ 53 deterministic Python scripts and their captured output logs
Each script runs standalone under Python 3 with NumPy and SciPy. See verification/TMS_reproducibility_package.zip. Every script is deterministic; the captured logs sit beside the source.
Citation:
Switzer, A. (2026). The Triadic Measurement Substrate (Version v1). Zenodo. https://doi.org/10.5281/zenodo.22035423
See CITATION.cff for machine-readable metadata. License
© 2026 Aaron Switzer. Released under CC BY 4.0 — free to share and adapt with attribution. See LICENSE. Contact
Aaron Switzer — Independent Researcher aaron.j.switzer at g mail dot com