inverse problems · configuration space what the projection keeps · underdetermined experiments, collapsed configuration spaces, and the tools brought from outside · started October 2026

Overview

An experiment is a projection of the system's configuration space. The theory may be known and the fit may be good, and still the parameters cannot be read back from the measurement without a tool brought from outside.

The ideas are Iñigo González de Arrieta's, shared with Josu M. Igartua, who develops them here. The known case is powder diffraction: a Rietveld refinement is compatible with many sets of atomic coordinates, and mode crystallography — the same structure in symmetry-adapted coordinates — is what tells them apart. The proposal is to make that move general: write the expert's knowledge into scripts, treat massive data sets with them, and learn over the result what no single analysis can show. This site holds the brief, a discourse that sorts the ideas, three cases side by side, a programme of proposals, the sources with their status, and a dated log.

12
theses in the brief
3
cases worked side by side
31
sources (2 read in full)
15
log entries (1 decisions)
Site last built 2026-10-15 20:47

Latest in the log

All entries →

Findings, decisions with their reasons, and the work done. Newest first.

How this site works

Method →
01

The brief, kept whole

The founding note is on the Brief page verbatim and organised into numbered theses, none left out. Every later page says which theses it develops.

02

Ideas attributed

Iñigo's, Josu's, or this development's: the Discourse marks the boundary at each step, so that the discussion knows what it is discussing.

03

Sources with a status

Every reference on the Sources page says whether it was read here, confirmed by a search, or is cited from memory.

04

Everything generated, everything logged

tools/build.py rebuilds the navigation, the theses, the log and the sources from data/*.yml on each render. Decisions go in the log the day they are taken.