Same framework, applied to Fast Radio Bursts
The framework's value lies in its universality across disparate domains. The brake operator \(\mathcal{B}\), dispersion \(\mathcal{S}\), consensus \(\mathcal{M}\), spectral primitive \(\mathcal{P}\), anti-shadow detector \(\mathfrak{A}\), and scope-reporter \(\mathscr{A}\) — together with Theorems 1–13 — are applied here exactly as on every other domain. Source code: github.com/senuamedia/uniformity. No per-domain calibration. No imported threshold. No bespoke fit.
Cross-domain catalogue — \(\beta\)-strip
This domain's primitive is Rayleigh periodogram + cross-shadow consensus rather than the brake operator \(\mathcal{B}\). The cross-domain catalogue below shows brake-exponent readings from the other domains — the same framework, the same code, different operator.
Click any point for the full reading: instance, domain, \(\beta\) value, and a link to the source code.
What the framework provides for FRB astronomy
Periodicity hunting in repeating fast-radio-burst arrival times is a cross-shadow consensus problem: a real period is one that survives a chronological split-half check and a Monte-Carlo interval-shuffle null. The framework's consensus operator \(\mathcal{M}\) plus the dispersion operator \(\mathcal{S}\) handle both checks generically, with no FRB-domain priors.
Headline results (catalogue instance 10)
- FRB 20180916B period 16.33 d recovered (0.01% error, MC \(p = 0.005\)) — the only published periodic CHIME repeater.
- 21 repeaters with \(N \ge 5\) bursts (326 bursts total) analysed; only 1/21 cleared both gates.
- Two apparent candidates (FRB 20201124A, FRB 20201130A) cleared split-half but failed MC null — clean upper limit on new periodicities at current \(N = 5\)–32 burst depth.
Experiments
Scripts: domains/fast-radio-bursts/experiments/.
Framework reading
The framework demonstrably separates real periodic signal from noise. The clean negative finding on the other 20 repeaters is itself informative: it sets an upper limit on undetected periodicities at current observation depth. Theorem 2 (shadow consensus) anchor: the chronological split-half is a two-shadow application; the period must agree across halves to clear the gate.