File size: 5,439 Bytes
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"kernel": "run_sabrina_points_scattering_lower_slack_identity",
"role": "post-computation assertion only",
"schema": "ouroboros_scientific_reference_assertion_v1",
"scientific_payload": {
"claim_boundary": {
"capabilities_removed": [],
"new_dynamical_equivalence_claimed": false,
"semiclassical_entropy_inequalities_only": true
},
"exact_checks": {
"all_chain_residuals_zero": true,
"all_sixteen_masks_checked": true,
"all_slacks_nonnegative": true,
"archive_hash_matches": true,
"cwt_ridge_bound_present": true,
"final_lower_chain_present": true,
"gap_is_exact_slack_sum": true,
"max_wedge_bound_present": true,
"member_hash_matches": true,
"points_focus_bound_present": true,
"ridge_order_present": true,
"saturation_iff_all_slacks_zero": true,
"source_blocks_match": true,
"unique_binary_saturation_mask": true
},
"paper": {
"arxiv_id": "2604.22612",
"title": "Generalized Entanglement Wedges and the Connected Wedge Theorem"
},
"result_version": "sabrina_points_scattering_lower_slack_identity_v1",
"source_evidence": {
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"block_hashes": {
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"max_wedge_entropy_bound": "83e0923ad85ce26ff185b4eb4ca49f7c292dd40adda74bc8cacd7800e4ea4bc5",
"points_lower_bound_chain": "647182fc3b6ffc3b9af688727b199766ce64c44b9573f4ce8798f2f0d5974689"
},
"checks": {
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"max_wedge_bound_present": true,
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"ridge_order_present": true,
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},
"member_sha256": "67a3bec7a35d950e982ea7edeccca1c7f0401539106bd1edbfea9e3b80013b0e"
},
"status": "complete",
"symbolic_certificate": {
"checks": {
"all_chain_residuals_zero": true,
"all_sixteen_masks_checked": true,
"all_slacks_nonnegative": true,
"gap_is_exact_slack_sum": true,
"saturation_iff_all_slacks_zero": true,
"unique_binary_saturation_mask": true
},
"equality_rows": [
{
"all_slacks_zero": true,
"gap": "0",
"gap_zero": true,
"mask": 0
},
{
"all_slacks_zero": false,
"gap": "1",
"gap_zero": false,
"mask": 1
},
{
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"gap": "1",
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},
{
"all_slacks_zero": false,
"gap": "2",
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},
{
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"gap": "1",
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},
{
"all_slacks_zero": false,
"gap": "2",
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},
{
"all_slacks_zero": false,
"gap": "2",
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},
{
"all_slacks_zero": false,
"gap": "3",
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},
{
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},
{
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},
{
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{
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},
{
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},
{
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},
{
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},
{
"all_slacks_zero": false,
"gap": "4",
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}
],
"gap_identity": "I(V1;V2)-S_gen(e_max(s_pts''))=delta_CWT+delta_ridge+delta_focus+delta_max",
"residuals": {
"cwt_step": "0",
"focus_step": "0",
"gap_identity": "0",
"max_wedge_step": "0",
"ridge_step": "0"
},
"symbolic_gap": "delta_CWT + delta_focus + delta_max + delta_ridge"
},
"theorem": {
"lower_gap_identity": "I(V1;V2)-S_gen(e_max(s_pts''))=delta_CWT+delta_ridge+delta_focus+delta_max",
"saturation": "the lower bound saturates if and only if all four source inequalities saturate simultaneously",
"slack_meanings": {
"delta_CWT": "I(V1;V2)-Area(R_reg)/(2G_N)",
"delta_focus": "Area(R_pts)/(2G_N)-S_gen(s_pts'')",
"delta_max": "S_gen(s_pts'')-S_gen(e_max(s_pts''))",
"delta_ridge": "[Area(R_reg)-Area(R_pts)]/(2G_N)"
}
}
},
"scientific_payload_sha256": "7f9b013510e795182939e14d751abafa52301bf7e7cd140ff4fa5a32a2b8db69"
}
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