{"protocol":{"title":"Interaction and observation-window sensitivity of a finite Majorana autocorrelation diagnostic","version":1,"fixed_before_first_sweep":true,"externally_preregistered":false,"prior_information":"The published Graviton calculation for quartic indices [1,2,3,5], positive couplings 0.1, 0.2, 0.3 and window [12,24] was already known. This is an exploratory extension, not a blind validation or a novelty claim.","state":"rho = I_16 / 16; beta = 0; hbar = 1","baseline_terms":[[-0.36,[1,2,4,5]],[0.19,[1,3,4,7]],[-0.71,[1,3,5,6]],[0.22,[2,3,4,6]],[0.49,[2,3,5,7]]],"perturbation_family":"Every increasing four-index subset of 1..7 except the five already in H0: 30 quartic operators. No operator involving psi8; the spectator remains conserved.","couplings":[-0.3,-0.2,-0.1,0.1,0.2,0.3],"windows":[[0,12],[12,24],[24,36],[36,48]],"primary_step":0.1,"refinement_steps":[0.05,0.025],"matching":"Subtract the trace, then rescale each Hamiltonian to the centered RMS energy of H0. H0 is unchanged.","observable":"G_i(t) = (2/16) Re Tr[exp(+iHt) psi_i exp(-iHt) psi_i]; {psi_i,psi_j}=delta_ij I","endpoint":"D = mean(abs(G_i(t))) over i=1..7 and every inclusive uniform-grid time in the specified window. Contrast = D(perturbed) - D(baseline).","question":"Does the negative contrast reported for the reference perturbation extend across this stated family and all four windows? A positive contrast is a counterexample to this extension, not to the earlier bounded result.","sign_tolerance":1e-10,"verification_tolerance":1e-10,"numerical_checks":["Majorana anticommutators","Hermiticity","Centered RMS matching","Initial normalization","Spectator conservation","Absolute correlation bounded by one","Spectral formula versus independent Taylor scaling-and-squaring exponential at fixed times","Three-grid sensitivity","Recover the three previously published reference contrasts"],"reporting":"Publish all 180 Hamiltonian cases and 720 window contrasts, including reversals. Counts describe this finite enumeration, not probabilities, independent replications, or confidence intervals. Do not change the endpoint or remove cases after viewing results."},"software":{"numpy":"2.3.5"},"baseline_rms_energy":0.24473199627347456,"steps":[0.1,0.05,0.025],"baseline_D_by_step":[[0.3724432542183469,0.18828557388187142,0.4155048162489314,0.24983239161000026],[0.37157603631595293,0.1879749415220902,0.4150542968615158,0.24904491872748255],[0.37113350629566844,0.18782003724586777,0.41482474800445646,0.24864559391479854]],"plot_times":[0.0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1.0,1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.8,1.9,2.0,2.1,2.2,2.3,2.4,2.5,2.6,2.7,2.8,2.9,3.0,3.1,3.2,3.3,3.4,3.5,3.6,3.7,3.8,3.9,4.0,4.1,4.2,4.3,4.4,4.5,4.6,4.7,4.8,4.9,5.0,5.1,5.2,5.3,5.4,5.5,5.6,5.7,5.8,5.9,6.0,6.1,6.2,6.3,6.4,6.5,6.6,6.7,6.8,6.9,7.0,7.1,7.2,7.3,7.4,7.5,7.6,7.7,7.8,7.9,8.0,8.1,8.2,8.3,8.4,8.5,8.6,8.7,8.8,8.9,9.0,9.1,9.2,9.3,9.4,9.5,9.6,9.7,9.8,9.9,10.0,10.1,10.2,10.3,10.4,10.5,10.6,10.7,10.8,10.9,11.0,11.1,11.2,11.3,11.4,11.5,11.6,11.7,11.8,11.9,12.0,12.1,12.2,12.3,12.4,12.5,12.6,12.7,12.8,12.9,13.0,13.1,13.2,13.3,13.4,13.5,13.6,13.7,13.8,13.9,14.0,14.1,14.2,14.3,14.4,14.5,14.6,14.7,14.8,14.9,15.0,15.1,15.2,15.3,15.4,15.5,15.6,15.7,15.8,15.9,16.0,16.1,16.2,16.3,16.4,16.5,16.6,16.7,16.8,16.9,17.0,17.1,17.2,17.3,17.4,17.5,17.6,17.7,17.8,17.9,18.0,18.1,18.2,18.3,18.4,18.5,18.6,18.7,18.8,18.9,19.0,19.1,19.2,19.3,19.4,19.5,19.6,19.7,19.8,19.9,20.0,20.1,20.2,20.3,20.4,20.5,20.6,20.7,20.8,20.9,21.0,21.1,21.2,21.3,21.4,21.5,21.6,21.7,21.8,21.9,22.0,22.1,22.2,22.3,22.4,22.5,22.6,22.7,22.8,22.9,23.0,23.1,23.2,23.3,23.4,23.5,23.6,23.7,23.8,23.9,24.0,24.1,24.2,24.3,24.4,24.5,24.6,24.7,24.8,24.9,25.0,25.1,25.2,25.3,25.4,25.5,25.6,25.7,25.8,25.9,26.0,26.1,26.2,26.3,26.4,26.5,26.6,26.7,26.8,26.9,27.0,27.1,27.2,27.3,27.4,27.5,27.6,27.7,27.8,27.9,28.0,28.1,28.2,28.3,28.4,28.5,28.6,28.7,28.8,28.9,29.0,29.1,29.2,29.3,29.4,29.5,29.6,29.7,29.8,29.9,30.0,30.1,30.2,30.3,30.4,30.5,30.6,30.7,30.8,30.9,31.0,31.1,31.2,31.3,31.4,31.5,31.6,31.7,31.8,31.9,32.0,32.1,32.2,32.3,32.4,32.5,32.6,32.7,32.8,32.9,33.0,33.1,33.2,33.3,33.4,33.5,33.6,33.7,33.8,33.9,34.0,34.1,34.2,34.3,34.4,34.5,34.6,34.7,34.8,34.9,35.0,35.1,35.2,35.3,35.4,35.5,35.6,35.7,35.8,35.9,36.0,36.1,36.2,36.3,36.4,36.5,36.6,36.7,36.8,36.9,37.0,37.1,37.2,37.3,37.4,37.5,37.6,37.7,37.8,37.9,38.0,38.1,38.2,38.3,38.4,38.5,38.6,38.7,38.8,38.9,39.0,39.1,39.2,39.3,39.4,39.5,39.6,39.7,39.8,39.9,40.0,40.1,40.2,40.3,40.4,40.5,40.6,40.7,40.8,40.9,41.0,41.1,41.2,41.3,41.4,41.5,41.6,41.7,41.8,41.9,42.0,42.1,42.2,42.3,42.4,42.5,42.6,42.7,42.8,42.9,43.0,43.1,43.2,43.3,43.4,43.5,43.6,43.7,43.8,43.9,44.0,44.1,44.2,44.3,44.4,44.5,44.6,44.7,44.8,44.9,45.0,45.1,45.2,45.3,45.4,45.5,45.6,45.7,45.8,45.9,46.0,46.1,46.2,46.3,46.4,46.5,46.6,46.7,46.8,46.9,47.0,47.1,47.2,47.3,47.4,47.5,47.6,47.7,47.8,47.9,48.0],"baseline_mean_abs_trace":[1.0,0.999315693222,0.997265090048,0.993855130748,0.989097345118,0.983007796716,0.975607005238,0.966919847458,0.956975437294,0.945806985675,0.933451640983,0.919950310974,0.905347467168,0.889690932795,0.873031655495,0.855423466018,0.836922824275,0.817588554149,0.797481568535,0.776664586121,0.755201841471,0.733158790015,0.710601809543,0.687597899843,0.664214382117,0.640518599794,0.61657762236,0.592457953785,0.568225247101,0.543944026651,0.519677419453,0.495486897077,0.471432029384,0.447570251355,0.423956644196,0.400643731799,0.377681293534,0.355116194275,0.332992232413,0.31135000655,0.290226801405,0.269656493389,0.249669476155,0.230292606328,0.211549169496,0.207332693307,0.207614887105,0.207716135557,0.207630343059,0.207351920495,0.206875815561,0.206197541668,0.205313205239,0.204219531218,0.202913886623,0.201394301953,0.199659490303,0.197708864006,0.195542548675,0.193161394487,0.190566984586,0.187761640492,0.18474842441,0.18153113835,0.178114319989,0.18301073468,0.18851535094,0.193490962508,0.197915663942,0.201769965718,0.205036933892,0.20770231626,0.20975465413,0.211185378899,0.211988892705,0.212162632537,0.211707117269,0.210625977196,0.208925965749,0.206616953186,0.203711902142,0.20022682506,0.196180723626,0.191595510422,0.186495913161,0.180909361942,0.174865860079,0.168397839182,0.168767416504,0.171490860766,0.173955569877,0.17615878239,0.178098350879,0.179772736357,0.181181000875,0.182322798442,0.183198364393,0.183808503345,0.184154575892,0.184238484171,0.184062656453,0.187715499961,0.191749819856,0.195309542287,0.198367982418,0.200900267823,0.202883528703,0.204297078287,0.205122582208,0.205344215703,0.20494880756,0.203925969814,0.202268212262,0.199971040982,0.197033040105,0.193455936215,0.189244644835,0.18440729858,0.178955256654,0.1729030955,0.166268580496,0.159072618742,0.151339193072,0.143095277541,0.134370734776,0.125198195653,0.115612921908,0.105652652374,0.096595899523,0.091686867399,0.086751212086,0.081799565383,0.076842608246,0.074644444505,0.080377525561,0.086007568519,0.091498880878,0.096815786389,0.101922852332,0.106785117737,0.111368321107,0.115639126207,0.119565344495,0.123948739416,0.131357542,0.138500198991,0.145334801572,0.151821115993,0.157920803836,0.163597630906,0.168817663532,0.173549451148,0.177764194112,0.181435895808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