<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Toy models of broken reciprocity on The Broken-Born program</title><link>/wiki/symmetry-breaking/toy-models/</link><description>Recent content in Toy models of broken reciprocity on The Broken-Born program</description><generator>Hugo</generator><language>en-us</language><atom:link href="/wiki/symmetry-breaking/toy-models/index.xml" rel="self" type="application/rss+xml"/><item><title>Acceptance criterion 1: the toy Lagrangian (OP11)</title><link>/wiki/symmetry-breaking/toy-models/acceptance-criterion/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><guid>/wiki/symmetry-breaking/toy-models/acceptance-criterion/</guid><description>&lt;p&gt;&lt;em&gt;Acceptance criterion 1 is the referees&amp;rsquo; demand for one explicit action, a toy model being enough, in which &lt;a href="/wiki/phase-space/reciprocity/born-reciprocity/"&gt;Born reciprocity&lt;/a&gt; ρ, the exchange (x, p) → (p, −x), is a genuine symmetry that the vacuum breaks, with the &lt;a href="/wiki/phase-space/born-geometry/born-structures/"&gt;neutral metric&lt;/a&gt; η as the &lt;a href="/wiki/symmetry-breaking/order-parameter/"&gt;order parameter&lt;/a&gt;. In ordinary quantum mechanics ρ is only a change of description, carried out by the &lt;a href="/wiki/phase-space/reciprocity/fourier-transform/"&gt;Fourier transform&lt;/a&gt;; the program claims more, and the referees asked to see it in a model. The referees of review rounds 1 and 2 named it independently, and the program made it the first acceptance criterion for anything it proposes. &lt;a href="/wiki/history/documents/checkpoint/"&gt;Checkpoint #11&lt;/a&gt; records it as met in the referees&amp;rsquo; wording by &lt;a href="/wiki/symmetry-breaking/toy-models/coset-model/"&gt;model I&lt;/a&gt;, a &lt;a href="/wiki/symmetry-breaking/toy-models/coset-model/sigma-models/"&gt;sigma model&lt;/a&gt; of a phase-space metric and a real structure, with a bounded ρ-preserving potential. A simulation with all fields dynamical, a derivation of the potential and forced locality of matter remain open. One clause of an older wording, that η also select the electric sublattice, is not addressed.&lt;/em&gt;&lt;/p&gt;</description></item><item><title>Success criteria S0–S5 and the pre-registered predictions</title><link>/wiki/symmetry-breaking/toy-models/success-criteria/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><guid>/wiki/symmetry-breaking/toy-models/success-criteria/</guid><description>&lt;p&gt;&lt;em&gt;The success criteria are six pass-or-fail tests, S0 to S5, written down on 19 October 2026 before either toy model was built, together with a forecast of how each would come out. Four of them encode the referees&amp;rsquo; literal demand: prior work is cited, the action is symmetric, the symmetry permutes the vacua, and an &lt;a href="/wiki/symmetry-breaking/order-parameter/"&gt;order parameter&lt;/a&gt; distinguishes them. Two encode the deeper objection that &lt;a href="/wiki/program/framework-does-no-work/"&gt;the framework does no work&lt;/a&gt;: the breaking must survive quantum fluctuations, and it must make matter&amp;rsquo;s interactions local in position. Fixing the tests first means the results are judged by standards chosen before the results were known, as the program&amp;rsquo;s pre-registered forecasts do for its review rounds. The worklog scored all four forecasts as hits, before the round-4 review narrowed several of the results that the scoring relied on.&lt;/em&gt;&lt;/p&gt;</description></item></channel></rss>