Arche: Einstein’s ‘Good Theory’

Einstein wanted a “good theory”: one that doesn’t measure the constants of nature—it determines them.For a century, physics has treated the fine-structure constant as a number we are simply handed by the universe. We measure it. We refine it. We never explain it.Archē I makes a provocative claim: the constants may be forced by the rules of measurement itself.What if the deepest structure in physics isn’t a Lagrangian—but the operational fact that measurements must be repeatable, local, and information-preserving under finite resources? If that is true, then “measurement” isn’t passive. It is a constraint—so rigid that it can force geometry.Starting from a Shannon–Nyquist discipline and the minimal requirements for optimal spatial comparison, Archē I builds a tight forcing chain: symmetry, projector structure, and alias-free reconstruction narrow the possibilities until a canonical discrete measurement “avatar” is compelled—down to a specific stencil and lock condition. From there, the pipeline generates spectral invariants that assemble into a single locked scalar—with no free parameters, no fitting, and no calibration.And then the book does something most foundational manifestos never do:It gives you an auditable, runnable pipeline.Not “trust the author.” Not “accept the philosophy.”Run the scripts. Watch the numbers emerge.Inside you’ll find:A measurement-first derivation that lands a geometric capacity scale in the electromagnetic coupling slot (the fine-structure constant).A mid-pipeline invariant coinciding with the charged-to-neutral pion mass ratio—an internal checkpoint that the machinery is “on track” before the final lock.A perturbative correspondence scheme that reproduces the electron anomaly through low order—without using QED as an engine.This is not a claim that spacetime is a lattice. It is a claim about what measurement must do to remain exact, isotropic, and reconstructible—and what numbers fall out when you refuse to allow avoidable information loss.High-risk. High-reward. Nowhere to hide.If the locked scalar is wrong, the theory fails. If it holds, it reframes the oldest question in physics: why these constants?Archē I is for physicists, information theorists, and metrologists who are tired of knobs, tired of “because that’s what experiments say,” and hungry for a framework that can be challenged where it matters: in the numbers—computed from first principles and reproducible by anyone. Read more