{
"status": "Source preparation only; no numbered research step executed; no canonical edits.",
"source": {
"path": "/workspace/scratch/1b40da62dcbd/project_sources/14-file_70-supplement-a-key-of-23-fine-resolution-720-30-rail-2-.md",
"sha256": "7a3a2b42ad70a08f9b44b087106b4f6517924c13a00817ecfadf1326da11b968",
"trust": "Inherited August28 Final; September6 Sothic amendment verification-complete and registered, not separately author-Finalized or full-file pressure tested."
},
"scope": {
"admitted_here": "Extract and summarize existing source inputs and formulas. Root chooses any bounded read-only reconstruction later.",
"not_opened": [
"new SKL source variants",
"remote Creation/Flood source-chain propagation",
"new 360:1 scaling executions",
"new Gear transports",
"new macro rails",
"extra phases or adjacent dates to repair failures",
"primers",
"second decimal inversion",
"source promotion or canonical edits"
]
},
"operators": {
"E": "25/23 =75/69",
"P": "70/69",
"J": "300/299",
"BC_anchored_dilation": "D(k,a,x)=a+k*(x-a)",
"civil_crossing": "B+A-1",
"ordinary_affine_translation": "source-positive-BC label minus d means forward d in civil time",
"Sothic_phase_model": "Separate January-centered quarter-year chart in section13; not Rounded chart."
},
"section8": {
"locator": {
"section": "8.1–8.10",
"start_line": 1251
},
"transmitted_rows": [
{
"state": "Short",
"whole_year_total": 17980,
"physical_anchor_BC": 2906,
"plus30_anchor_BC": 2936,
"physical_Flood_BC": 20886,
"plus30_Flood_BC": 20916,
"720_coefficient": 25,
"source_total_residual": -20
},
{
"state": "Long",
"whole_year_total": 24510,
"physical_anchor_BC": 2856,
"plus30_anchor_BC": 2886,
"physical_Flood_BC": 27366,
"plus30_Flood_BC": 27396,
"720_coefficient": 34,
"source_total_residual": 30
}
],
"compensation": {
"source_total_difference": 6530,
"anchor_difference": 50,
"Flood_difference": 6480,
"crossed_Flood_differences": [
6450,
6510
],
"formula": "(24510-17980)+(2856-2906)=6480",
"source_locator": "8.2, line1271"
},
"pure720_source_constructions": [
{
"Flood_BC": 20916,
"count": 25,
"unit": 720,
"landing_BC": 2916
},
{
"Flood_BC": 27396,
"count": 34,
"unit": 720,
"landing_BC": 2916
},
{
"Flood_BC": 20886,
"count": 25,
"unit": 720,
"landing_BC": 2886
},
{
"Flood_BC": 27366,
"count": 34,
"unit": 720,
"landing_BC": 2886
}
],
"paired_key_matrix": {
"source_locator": "8.5.1–8.5.3, lines1369–1442",
"common_input_span": 690,
"completed_spans": {
"E": 750,
"P": 700
},
"rows": [
{
"variant": "Short",
"direction": "forward",
"held_BC": 3626,
"moving_BC": 2936,
"ratio": "25/23",
"result_BC": 2876
},
{
"variant": "Long",
"direction": "forward",
"held_BC": 3576,
"moving_BC": 2886,
"ratio": "70/69",
"result_BC": 2876
},
{
"variant": "Short",
"direction": "reverse",
"held_BC": 2216,
"moving_BC": 2906,
"ratio": "70/69",
"result_BC": 2916
},
{
"variant": "Long",
"direction": "reverse",
"held_BC": 2166,
"moving_BC": 2856,
"ratio": "25/23",
"result_BC": 2916
}
],
"gain_sum": 70,
"gain_difference": 50,
"convergence_condition": "offset=(E-P)*690=50; ratio assignment is directional and variant-specific"
},
"ordered_anchor_lattice_BC": [
2946,
2936,
2916,
2906,
2886,
2876,
2856
],
"ordered_gaps": [
10,
20,
10,
20,
10,
20
],
"four_node_family_BC": [
2946,
2916,
2906,
2876
],
"four_node_gaps": [
30,
10,
30
],
"three_centered_pairs_BC": [
[
2946,
2876
],
[
2936,
2886
],
[
2916,
2906
]
],
"Enoch_center_whole_year_BC": 2911,
"uniform_biblical_translation": {
"source_locator": "8.6, line1443",
"subtract_from_BC_labels": 1470,
"output_BC": [
1476,
1446,
1436,
1406
],
"output_roles": [
"Joshua birth",
"Exodus",
"generated comparison rail",
"Conquest"
]
},
"pillar_comparison_summary_only": {
"source_locator": "8.7, line1489",
"BC_starts": [
2936,
2886,
2911
],
"AD_ends": [
29465,
29515,
29490
],
"civil_span": 32400,
"distinct_scales": [
"90*72=6480",
"90*360=32400"
],
"role": "Projective Boundaries; secondary/appendix scope retained"
},
"calendar_body_summary_only": {
"source_locator": "8.8, line1526",
"ordinary_partitions": [
[
3606,
2936,
2886
],
[
3576,
2906,
2856
],
[
3608,
2936,
2886
]
],
"component_lengths": [
[
670,
50
],
[
670,
50
],
[
672,
50
]
],
"totals": [
720,
720,
722
],
"macro_examples_source_only": [
[
262116,
20916,
2916
],
[
262086,
20166,
2166
]
],
"warning": "Existing360:1 comparisons quoted only; no new source-chain or scale propagation."
},
"source_vs_Jubilee_companion": {
"source_locator": "8.9, line1577",
"source_duration": 24510,
"generated_duration": 24500,
"declared_companion_pairs_BC": [
[
27366,
2866
],
[
27356,
2856
]
],
"source_pair_BC": [
27366,
2856
],
"role": "Generated adjacent duration, not correction of transmitted total"
}
},
"section9": {
"locator": {
"section": "9.1–9.9",
"start_line": 1631
},
"common_parent_rows": [
{
"moving_BC": 4114,
"moving_role": "standard regular-MT Creation endpoint",
"held_BC": 1446,
"held_role": "Exodus",
"ratio": "25/23",
"input_span": 2668,
"output_span": 2900,
"gain": 232,
"output_BC": 4346,
"return_ratio": "23/25"
},
{
"moving_BC": 4304,
"moving_role": "regular-MT +60 Terah +130 Cainan Creation endpoint",
"held_BC": 1406,
"held_role": "Conquest",
"ratio": "70/69",
"input_span": 2898,
"output_span": 2940,
"gain": 42,
"output_BC": 4346,
"return_ratio": "69/70"
}
],
"compensation": {
"source_variant_gap": 190,
"source_variant_parts": [
60,
130
],
"gain_gap": 190,
"anchor_gap": 40,
"completed_span_gap": 40
},
"carrier_ladder": {
"BC": [
4346,
2876,
1406
],
"AD_terminal": 65,
"arms": [
1470,
1470,
1470
],
"full_span": 4410,
"first_arm_BC": [
4346,
2946,
2876
],
"first_arm_spans": [
1400,
70
]
},
"five_year_companion": {
"BC": [
4341,
2871,
1401
],
"AD_terminal": 70,
"civil_translation": 5,
"arms": [
1470,
1470,
1470
]
},
"Enoch_to_Christ": {
"source_BC": [
2946,
2911,
2876,
2871
],
"target": [
"6BC",
"AD30",
"AD65",
"AD70"
],
"civil_translation": 2940,
"source_quartet_BC": [
2946,
2916,
2906,
2876
],
"target_quartet": [
"6BC",
"AD25",
"AD35",
"AD65"
],
"source_roles": "mixed Enoch schematic/generated/source",
"target_roles": "Nativity/comparison/comparison/carrier close"
},
"centers_and_corridors": [
{
"center_BC": 2871,
"role": "Long source-pair center",
"corridor_BC": [
4341,
2871,
1401
]
},
{
"center_BC": 2921,
"role": "Short source-pair center",
"corridor_BC": [
4391,
2921,
1451
]
},
{
"center_BC": 2916,
"role": "pure720 landing, not source-pair center",
"corridor_BC": [
4386,
2916,
1446
]
}
],
"upper_MT_secondary_partition": {
"source_locator": "9.8, line1895",
"raw_path_BC": [
4304,
2648,
1406
],
"raw_spans": [
1656,
1242
],
"ratio": "70/69",
"transformed_path_BC": [
4346,
2666,
1406
],
"transformed_spans": [
1680,
1260
],
"collision_guard": "2648 and2666 here are generated seams, not BJ Ham or other genealogical nodes with those labels"
},
"LXX_corroboration_summary": {
"source_locator": "9.9, line1937",
"outer_endpoint_BC": [
5584,
5554,
4144,
4114
],
"outer_Year6_BC": [
5586,
5556,
4146,
4116
],
"outer_gaps": [
30,
1410,
30
],
"matched_pairs_BC": [
[
5554,
4174
],
[
5494,
4114
],
[
5556,
4176
],
[
5496,
4116
]
],
"matched_gap": 1380,
"Year6_midpoint_BC": [
5556,
4836,
4116
],
"midpoint_arms": [
720,
720
],
"source_LXX_endpoint": 5494,
"Exodus": 1446,
"E_generated_head": 5846,
"Short_physical_anchor": 2906,
"generated_to_Short_span": 2940,
"conjectural_leveling_only": {
"generated": 5846,
"proposed_minus30": 5816,
"middle": 4346,
"lower": 2876,
"arms": [
1470,
1470
],
"status": "Appendix-led positional hypothesis;5846 apparent rail assignment not established;5816 not transmitted LXX date"
}
}
},
"section10": {
"locator": {
"section": "10.1–10.5",
"start_line": 2062
},
"fixed_hinge_BC": 4346,
"cumulative_head_BC": 14006,
"fixed_Pillar_AD": 29465,
"arms": [
{
"side": "cumulative",
"span": 9660,
"coefficient69_unit": 140
},
{
"side": "Pillar",
"span": 33810,
"coefficient69_unit": 490
}
],
"full_civil_span": 43470,
"unit4830_partition": [
2,
7
],
"fixed_Pillar_rows": [
{
"ratio": "70/69",
"input_span": 33810,
"output_span": 34300,
"gain": 490,
"generated_BC": 4836,
"co_registration": "cumulative Flood/Enoch pivot"
},
{
"ratio": "25/23",
"input_span": 33810,
"output_span": 36750,
"gain": 2940,
"generated_BC": 7286,
"status": "generated provisional/appendix-led head"
}
],
"cumulative_matrix": [
{
"state": "native",
"ratio": "1",
"upper_span": 9660,
"fixed_lower_span": 2940,
"total_to1406": 12600,
"BC_head": 14006,
"calendar_body": "35*360"
},
{
"state": "Prophetic",
"ratio": "70/69",
"upper_span": 9800,
"fixed_lower_span": 2940,
"total_to1406": 12740,
"BC_head": 14146,
"calendar_body": "35*364"
},
{
"state": "Priestly",
"ratio": "25/23",
"upper_span": 10500,
"fixed_lower_span": 2940,
"total_to1406": 13440,
"BC_head": 14846,
"calendar_body": "40*336"
}
],
"cumulative_Cainan": {
"base_head_BC": 14006,
"restored_head_BC": 14466,
"hinge_BC": 4346,
"base_radius": 9660,
"restored_radius": 10120,
"ratio": "25/23",
"expanded_radii": [
10500,
11000
],
"generated_heads_BC": [
14846,
15346
],
"insertion_before_after": [
460,
500
]
},
"noncollapse": "14146→1406 and inherited14036→1296 have the same12740 scalar but different endpoint executions; generated outer heads do not become Primary anchors."
},
"section11": {
"locator": {
"section": "11.1–11.6",
"start_line": 2235
},
"coarse_path": [
"4836BC",
"4346BC",
"6BC",
"AD30",
"AD65"
],
"coarse_spans": [
490,
4340,
35,
35
],
"refined_path": [
"4836BC",
"4346BC",
"2946BC",
"2876BC",
"1406BC",
"6BC",
"AD30",
"AD65"
],
"refined_spans": [
490,
1400,
70,
1470,
1400,
35,
35
],
"generation_unit": 70,
"coarse_generation_counts": [
7,
62,
"1/2",
"1/2"
],
"refined_generation_counts": [
7,
20,
1,
21,
20,
"1/2",
"1/2"
],
"total": 4900,
"Danielic_tenth_scale": [
49,
140,
7,
147,
140,
"7/2",
"7/2"
],
"role": "Source pattern-template segmentation, not literal434-year lock or claim Daniel explicitly supplies these coordinates",
"Christ_role_hierarchy": {
"6BC": "birth hinge",
"AD25/AD35": "comparison nodes",
"AD30": "exact schematic midpoint / possible Passion state",
"AD33n": "preferred Passion state by parentFile13",
"AD65": "70-year carrier terminal",
"AD70": "five-year Temple companion"
}
},
"section13": {
"locator": {
"section": "13.1–13.10",
"start_line": 2420
},
"scope_recommendation": "Potential fixed-input finite-family read-only reconstruction. Preserve twelve listed nodes exactly.36-node macro extension and remote chain work are summary-only and not activated.",
"phase_chart": {
"epoch": "January1 AD1, x=0",
"BC_n": "-B+1/4",
"BC_t": "-B+3/4",
"AD_n": "A-1+1/4",
"AD_t": "A-1+3/4",
"paired_Mirror": "M(x)=-x; Yt/(Y-1)n BC -> AD(Y-1)t/Yn",
"meaning": "schematic phase model, not reconstructed ancient lunar-month dates"
},
"source_pairs_BC": [
[
{
"year": 2939,
"phase": "t"
},
{
"year": 2938,
"phase": "n"
}
],
[
{
"year": 2937,
"phase": "t"
},
{
"year": 2936,
"phase": "n"
}
],
[
{
"year": 2935,
"phase": "t"
},
{
"year": 2934,
"phase": "n"
}
],
[
{
"year": 2909,
"phase": "t"
},
{
"year": 2908,
"phase": "n"
}
],
[
{
"year": 2907,
"phase": "t"
},
{
"year": 2906,
"phase": "n"
}
],
[
{
"year": 2905,
"phase": "t"
},
{
"year": 2904,
"phase": "n"
}
]
],
"source_declared_generator": "X={-2921+15r+2g+p/4};r,p in{-1,1},g in{-1,0,1}; source enumeration only, not permission for new Gear transport",
"node_count": 12,
"center_x": -2921,
"center_instant": "January1 2921BC",
"bracketing_pair_BC": "2922t/2921n",
"extrema_x": [
"-11753/4",
"-11615/4"
],
"width": "69/2",
"uniform_translation": 5842,
"period": "2921/2",
"mirror": "M(x)=-x",
"affine_involution": "R(x)=-5842-x",
"identities": [
"T5842(X)=M(X)",
"R(X)=X",
"R(R(x))=x"
],
"pair_permutation": [
[
0,
5
],
[
1,
4
],
[
2,
3
]
],
"translated_pairs_AD": [
[
2904,
2905
],
[
2906,
2907
],
[
2908,
2909
],
[
2934,
2935
],
[
2936,
2937
],
[
2938,
2939
]
],
"translated_phase_order": [
"t",
"n"
],
"four_totals_overlap_table": [
{
"period": "1460",
"total": 5840,
"inside": 8,
"outside": 4,
"inverse_mirror_displacement": 2
},
{
"period": "1460.5",
"total": 5842,
"inside": 12,
"outside": 0,
"inverse_mirror_displacement": 0
},
{
"period": "1461",
"total": 5844,
"inside": 8,
"outside": 4,
"inverse_mirror_displacement": -2
},
{
"period": "1461.5",
"total": 5846,
"inside": 4,
"outside": 8,
"inverse_mirror_displacement": -4
}
],
"cross_Mirror_matrix": {
"upper_Nisan_BC": [
2934,
2936,
2938
],
"lower_Nisan_BC": [
2904,
2906,
2908
],
"entries": [
[
5838,
5840,
5842
],
[
5840,
5842,
5844
],
[
5842,
5844,
5846
]
],
"formula": "U+D for corresponding-phase paired Mirror spans"
},
"conditional_uniqueness": "For fixed symmetric finite template E and fixed5842 closure: center c=-2921. Period does not determine template shape.",
"nested_macro_source_summary_only": {
"generator": "-2921+720m+15r+2g+p/4",
"source_node_count": 36,
"m_values": [
-1,
0,
1
],
"identity": "T5842(X+k)=M(X-k)",
"guard": "Opposed shifts only; same-direction shifts do not cancel; no remoteCreation/Flood or360:1 propagation authorized"
},
"anchored_selection": {
"Exodus_BC": 1446,
"Joshua_birth_BC": 1476,
"ordinary_Sothic_cycle": 1460,
"center_BC_formula": "1460+(1476+1446)/2=2921",
"source_flanks": [
2936,
2906
]
},
"small_corridor_packet": {
"e": 1446,
"Q": "4*365=1460",
"F": "4*360=1440",
"rail": 30,
"formula": "(e+Q+30,e+Q,e+F,e+F-30)",
"output_BC": [
2936,
2906,
2886,
2856
],
"gaps": [
30,
20,
30
],
"Moses_birth_BC": 1526,
"Joshua_birth_BC": 1476,
"two1380_routes": [
[
2906,
1526
],
[
2856,
1476
]
],
"dependent50": "80-30=30+(Q-F)=50"
},
"Joshua_to_Exodus_Mirror": {
"source_pair_BC": [
"1477t",
"1476n"
],
"fixed_target_AD": [
"1446t",
"1447n"
],
"matrix": [
[
2922,
"5845/2"
],
[
"5843/2",
2922
]
],
"outer_midpoint_x": -15,
"guard": "No automatic epoch-straddle or internal-cycle landing"
},
"Long_source_summary": {
"own_center_x": -2871,
"own_self_Mirror_translation": 5742,
"two_period_examples": [
[
"2888nBC",
"AD33n",
2920
],
[
"2886nBC",
"AD35n",
2920
],
[
"2856nBC",
"AD65n",
2920
]
],
"source_six": [
"2859tBC",
"2858nBC",
"2857tBC",
"2856nBC",
"2855tBC",
"2854nBC"
],
"fixed_target": [
"AD1526t",
"AD1527n"
],
"matrix": [
[
4384,
"8769/2"
],
[
"8767/2",
4384
],
[
4382,
"8765/2"
],
[
"8763/2",
4382
],
[
4380,
"8761/2"
],
[
"8759/2",
4380
]
],
"missing_three_cycle_total": 4383,
"guard": "No added adjacent date, phase, or Mirror to repair missing3*1461; Long does not share Short5842 whole-field theorem"
}
},
"guard_locators": [
{
"name": "RENEWED FROZEN-PARENT / NON-REPLACEMENT",
"section": "0.8",
"line": 339,
"excerpt": "The Supplement may cite and recompute admitted data but may not alter a parent equation, source state, anchor, node class, operator, guard, claim ceiling, or dependency boundary."
},
{
"name": "FILE_21 SHORT/LONG / ROUNDED-COMPARISON SCOPE",
"section": "0.8",
"line": 351,
"excerpt": "The Supplement may coordinate these states but may not create a new SKL source variant, make Rounded chronology literal SKL, replace File_34 derivation, or promote generated `2946/2916` companions to transmitted anchors."
},
{
"name": "90 / PILLAR / REMOTE-SKL SCOPE",
"section": "0.8",
"line": 411,
"summary": "Different units; remoteSKL/Pillar/simpleMirror secondary or appendix-only; cannot carry principal proof."
},
{
"name": "SOTHIC MACRO AND REMOTE SCOPE",
"section": "13.10",
"line": 2719,
"summary": "Existing36-node finite field only; no full source-chain, scaling,phase propagation from it."
},
{
"name": "SOTHIC LONG MOSES FIXED FIELD",
"section": "13.10",
"line": 2722,
"summary": "Missing4383 stays missing; no hidden adjacent state or phase."
}
],
"node_classes": {
"2936/2906": "Short source anchors",
"2886/2856": "Long source anchors;2886 also generatedlanding",
"3626/2216": "generatedShortladder endpoints;2216co-registersFile68schematic",
"3576": "dependency-controlledcomparisonstate",
"2946": "Enochschematicopening +generatedfieldcompletion",
"2916": "generatedpure720/reverseKeyconvergence",
"2876": "Enochclose +generatedforwardKeyconvergence;notcenter",
"2911": "Enochgenerationcenter",
"2871": "Longsourcepaircenter",
"2921": "Shortsourcepaircenter;Januaryinstant insection13distinct frombracketingpair",
"4346": "existingFile22generatedhead/File69head;commonoperator-parent,nottransmittedMTdate",
"1436": "generatedcomparisonrail",
"7286/14146/14846/15346": "generatedouterheads,notPrimaryanchors",
"AD29465/29515": "ProjectivePillars,notordinaryhistoricaldates"
}
}
Evidence
suppA macro inputs.json
Linked sources and evidence
Edition and provenance
suppA_macro_inputs.json
SHA-256 01f0fcc1f7c844068868153a0465c9f80b94c4a0a8c5445524b43695c6e20a3b
C480–C1634/Research_Cycles/C0632_C0731/prep/suppA_macro_inputs.json