{
"purpose": "Complete bounded families, with source premises and information loss retained",
"entries": [
{
"id": "genealogy",
"path": "model/reconstruction_genealogy.json",
"sha256": "ed018bfaac62d3671f75b4a05b7ba2ca4c0ac967ef784e0714a5e385a4ad5071",
"reconstruction": {
"family": "Ordinary MT/SP/LXX genealogies",
"source_object": "58 native source rows with begetting and lifespan measures, retaining ordinary/inclusive qualifications",
"retained_premises": "Ordered selected rows, terminal, boundary bindings, native Cainan and named change supports",
"operation_route": "Ordinary row repartition and life adjustment → selected birth or lifespan measurement → ordered accumulation",
"complete_result": "38 matched MT/LXX changes; five amplitudes, or four after e+n=u; matched heads1250/430, native heads1380/890",
"conserved_or_changed": "A century can preserve lifespan or remainder according to its row operation; the full field retains location.",
"relation_used": "accumulation_linearity",
"additional_conditions": "e+n=u is fitted; fivefold calibration C=1.3u,T=.6u is separate.",
"information_loss": "Head totals alone lose the placement of internal changes.",
"evidence": [
"model/whole_genealogy_five_model.json",
"model/regular_kernel_complete_staircase.json",
"model/whole_genealogy_native_insertion.json"
],
"status": "Conditional full-family reconstruction and clarification"
}
},
{
"id": "SP_rectangle",
"path": "model/reconstruction_SP_rectangle.json",
"sha256": "dd41f7bc5f8672c7eba7c95dfba5fedc79d2b64af31a7c043988f7c3b11d059c",
"reconstruction": {
"family": "SP cap and equal-gain rectangle",
"source_object": "Native SP births, MT comparison lifespans, inclusive Flood capacity, source frames",
"retained_premises": "Flood cap uses 600+1; official Terah 145; standard MT frames 4114 and 14004; Conquest 1446; source wrappers 7 and 10",
"operation_route": "Accumulate native SP births → impose capacity → retain clipped loss → add post-Flood changes → construct framed radii → apply P and J",
"complete_result": {
"nine_cap_losses": [
0,
0,
0,
0,
0,
115,
0,
249,
124
],
"total_cap_loss": 488,
"postflood_loss": 120,
"radii": [
2760,
11960
],
"keyed_radii": [
2800,
12000
],
"source_nodes": [
4206,
13406
],
"keyed_anchor": 1406,
"keyed_gap": 9200,
"gap_after_E": 10000
},
"conserved_or_changed": "Both radii gain 40; their difference is retained until E expands it.",
"relation_used": "Cap loss identity; 3C=13R for equal P/J gains",
"additional_conditions": "Wrappers and source frames are retained premises; row mechanism alone does not choose them.",
"information_loss": "Capping loses excess lifespan; rounding can lose residuals separately.",
"evidence": [
"model/SP_rectangle_regular_provenance.json",
"model/SP_rectangle_cumulative_provenance.json",
"model/SP_rectangle_source_to_keys.json",
"model/SP_rectangle_wrapper_residual.json"
],
"status": "newconditionalmechanismorinterface"
}
},
{
"id": "Moses",
"path": "model/reconstruction_Moses.json",
"sha256": "c420972c9e9758da84117ad20e4cdf1f07206120d7a4efb0867cee2db7e07f0d",
"reconstruction": {
"family": "Rounded Moses-centred Regular path",
"source_object": "Ordered MT begetting ages followed by Jacob-to-Joseph and Entry-to-Moses event edges",
"retained_premises": "Terah 70, Cainan OFF, Shem +2 excluded; Moses 1526; late path 91,39,350",
"operation_route": "Round each edge to five → accumulate toward the fixed Moses coordinate → compare component blocks and cycle sums",
"complete_result": {
"nodes": 25,
"rounded_blocks": [
130,
490,
1030,
130,
800
],
"exact_blocks": [
130,
492,
1034,
129,
801
],
"head_exact": 4112,
"head_rounded": 4106,
"cycle_spans": [
2580,
2450,
1960
]
},
"conserved_or_changed": "The late 91+39 pair preserves its total as 90+40; rounding changes the whole path by six.",
"relation_used": "Suffix accumulation of edge residuals recovers all exact coordinates.",
"additional_conditions": "The 130 bridge is implied by the selected 430/490 cycles but does not select Moses without the whole path.",
"information_loss": "Dropping the edge residuals loses exact coordinates; rounding the total differs from accumulating rounded rows.",
"evidence": [
"model/Moses_MT_complete_path.json",
"model/Moses_five_source_blocks.json",
"model/Moses_complete_residual_recovery.json"
],
"status": "newconditionalmechanismorinterface"
}
},
{
"id": "inverse_Keys",
"path": "model/reconstruction_inverse_Keys.json",
"sha256": "eb327a417c974de93183961c143a14a4520908259905b1f1fe87ba27f1efad90",
"reconstruction": {
"family": "Single inverse and anchored Keys",
"source_object": "Four original duration words, three Regular and one Cumulative",
"retained_premises": "File52c event roles, original component partition, retained trailing zeros, declared whole Key, anchor and calendar chart",
"operation_route": "Original duration word → one reversal per original component → cumulative image path → declared anchored Key",
"complete_result": {
"regular_word_count": 3,
"regular_image_total": 14720,
"keyed_regular_total": 16000,
"cumulative_word": [
1400,
3430,
9170
]
},
"conserved_or_changed": "The three Regular images have equal totals but different proper prefixes; a uniform Key preserves their ratio geometry.",
"relation_used": "Uniform Key commutes with sum; component reversal depends on the source partition.",
"additional_conditions": "The Moses path supplies Creation and Noah coordinates; Nativity, Conquest and Flood roles remain separately sourced. Integer-stage conditions are retained.",
"information_loss": "Head totals erase proper prefixes; discarding the source partition erases the reversal prescription.",
"evidence": [
"model/Moses_inverse_source_word_match.json",
"model/Moses_inverse_retained_images.json",
"model/relation_inverse_partition.json",
"model/relation_affine_grid_domains.json"
],
"status": "newconditionalmechanismorinterface"
}
},
{
"id": "Covenant",
"path": "model/reconstruction_Covenant.json",
"sha256": "1ab6280a3ab747d854c10eafa409382ad4995d5171bb5c189c1b7becaa9138a4",
"reconstruction": {
"family": "Covenant local chronology and cumulative clutch",
"source_object": "Local event intervals, selected lifespans, Moses terminal, Covenant state and phase",
"retained_premises": "Minimal Covenant 1866; author-designated full Covenant 2081; ancestry shift 215; exact phase 7/2; qualified source statuses",
"operation_route": "Build local Regular events → stack six lifespans above Moses → solve Kohath-to-Levi-death shift → generate half and full clutch columns → add phase",
"complete_result": {
"minimum_spans": [
161,
299,
460
],
"key_radii": [
276,
299
],
"common_key_radius": 300,
"clutch": 14,
"half_clutch": 7,
"rows": 7,
"columns": 3,
"phases": 2
},
"conserved_or_changed": "Equal 137 lifespans force the second join after the first; translation preserves row intervals.",
"relation_used": "First join defines shift, second follows from equal lives, third requires Jacob 147=60+77+10.",
"additional_conditions": "The third join is a source relation, and 460 is the minimal Covenant-to-Conquest span only.",
"information_loss": "An endpoint-only description hides the complete seven-row translated field.",
"evidence": [
"model/primitive_Covenant_module.json",
"model/relation_Covenant_joins.json",
"prep/final_Covenant_claim_index.json"
],
"status": "inheritedcompleteproof"
}
},
{
"id": "counts_NT",
"path": "model/reconstruction_counts_NT.json",
"sha256": "eae46c6c59f94a47b3d15fde4488157b99aea612a12b07abca6966ed18551727",
"reconstruction": {
"family": "Esau, Tishri, Toledot and NT count families",
"source_object": "Source-labelled count cells, ordered lists and declared grouping maps",
"retained_premises": "Nine Esau counts; Tishri species/day incidence; eleven Toledot occurrences and ten-section grouping; NT chart slots and scale conditions",
"operation_route": "Preserve labels and multiplicity → accumulate or group → compare complete fields → test reflection only on compatible groups",
"complete_result": {
"NT_shared_births": 22,
"NT_comparison_edges": 21,
"SP_LXX_shared_birth_suffix": 10,
"hidden_suffix_lifespan_difference": 547,
"NT_knot_relation": "w=69u",
"NT_scale_condition": "35u=2450 gives u=70"
},
"conserved_or_changed": "Grouping preserves total count with multiplicity; reflection survives only if the groups support it.",
"relation_used": "Ordered prefix/suffix accumulation and compatible reflection",
"additional_conditions": "NT width equation leaves one scale free; separate placement fixes 70. Source birth equality does not imply Cumulative equality.",
"information_loss": "Grouping can hide occurrence positions and birth projection can hide lifespan differences.",
"evidence": [
"model/NT_complete_shared_birth_comparison.json",
"model/NT_complete_comparison_recurrence.json",
"model/NT_birth_projection_hidden_lives.json",
"model/relation_grouping_reflection.json",
"prep/final_count_family_claim_index.json"
],
"status": "newconditionalmechanismorinterface"
}
}
],
"title": "Complete-family reconstruction ledger",
"reader_notes": [
"Each entry retains its source premises, operation route, complete result, additional conditions and information loss.",
"Source bindings refer to the original completed models; editorial descriptions below do not alter those models."
]
}
Evidence
490d Reconstruction Ledger C1431.json
Linked sources and evidence
Edition and provenance
490d_Reconstruction_Ledger_C1431.json
SHA-256 fe53c713d71b56884d62fa0e9c949f47f00aed770fd2f7527080c07e8c05cab2
C480–C1634/Research_Cycles/C1132_C1431_Recovered/deliverables/490d_Reconstruction_Ledger_C1431.json