PAPER V4.0 — final submission package (flat) "Entropy Replacement and Complexity-Sensitive Observer Complementarity in Non-Isometric Holographic Codes" ================================================================================ FLAT LAYOUT (figure links in the .md resolve directly; no nested archive): paper_full_v3_FINAL.md §§1-9, Figures 1-5 inline paper_appendix_A.md Generalized EGH formulas paper_appendix_B.md Reproducibility (manifest matches reproducibility/) paper_appendix_C.md Entropy-replacement proof (Haar): C.1-C.5 off-diagonal F_off; C.6 diagonal-to-bulk F_diag (centered-operator reduction to the C.3 base moment); C.7 assembly -> Theorem C.1 figure1.png .. figure5.png rendered from reproducibility/ CSVs (seed 707070) reproducibility/ see contents below REVIEWER_NOTE_v3final.md summary of the review history and final state MANIFEST.txt this file THEOREM HIERARCHY Theorem 1 = entropy-replacement principle (target: bulk-marginal diagonal P_X) Theorem 2 = Haar disagreement law, UNCONDITIONAL Theorem 3 = product disagreement law, CONDITIONAL (by design) Lemma 1 = structural identity E_V[rho_RA] = diag(rho_A^bulk) + O(1/d^2) Lemma 3 = grouped-Dirichlet moments (T_A, T_B) reproducibility/ CONTENTS backend (1): bh_lab_backend.py figure generators (3): make_fig2.py, make_figs_1345.py, make_figs_41.py proof/verification scripts (5): scratch_fourth_moment.py (Lemma C.5, fourth-moment projector estimate) scratch_centered_C6.py (Lemma C.6 centered-operator representation) scratch_Fdiag.py (Lemma C.6 direct F_diag check) scratch_grouped_dirichlet.py (Lemma 3 grouped-Dirichlet moments) scratch_Mdom.py (DIAGNOSTIC ONLY -- supports no proof step) data CSVs (15): table1_full_scan.csv (single source for Table 1, Fig 4c, Fig 5), fig1_*, fig2_*, fig3_*, fig4_*, fig5_* , entropy_replacement.csv, phase2_dM_scan.csv, phase2_exponents.csv SINGLE SOURCE OF TRUTH: table1_full_scan.csv feeds Table 1, Figure 4(c), Figure 5.