# Supplement A §§1–6: micro-chronology source packet

Prepared for C632–C731. This preparation completes no numbered step and modifies no canonical source. `suppA_micro_inputs.json` contains nine literal source tables with line locators, all 32 section/subsection headings in scope, normalized inputs, object classes, and source-versus-derived labels. `build_suppA_micro_packet.py` reproduces that packet and checks the stated arithmetic with exact fractions.

Source: `project_sources/14-file_70-supplement-a-key-of-23-fine-resolution-720-30-rail-2-.md`, §§1–6, lines514–1182. SHA256: `7a3a2b42ad70a08f9b44b087106b4f6517924c13a00817ecfadf1326da11b968`. The opening node register was consulted for classification. Subsequent SKL reconciliation modules are not opened by this packet. Primers remain quarantined, 1486 is excluded from execution, and second inversion remains deferred.

## Main research opportunity

The strongest next move is to reconstruct the whole micro family through **three distinct mechanisms**: retained core/flank composition, paired phase coordinates with fixed centers, and calibrated scalar conversion across units. That connects directly to the preceding work on retained paths, indexed family generation, and the Actual12558→Rounded12600 interface. It also gives concrete reasons why one common scalar should not be substituted for a complete coordinate object.

## Native carrier, flank, and bracket

Supplement §§1.1–1.2, lines519–557, starts with carrier720 and rail30. Their crossed core is690=23×30=69×10. Write E=25/23, P=70/69, J=300/299.

| State | Core | Gain | One flank | Full bracket |
|---|---:|---:|---:|---:|
|Native|690|0|720|750|
|P|700|10|730|760|
|E|750|60|780|810|

The repeated750 has two explicitly different roles: native30+690+30 and E-expanded690. This is a useful first object-class test, with all inputs already supplied.

The literal §1.3 ladder is4326→4296→3606→3576→2886→2856→2166→2136→1446→1416 BC. Its gaps alternate30 and690, totaling2910. Its two separate rails each advance by720. The six-node inner cell3606→3576→2886→2856→2166→2136 has width1470, centered on2871, as is the source Long2886/2856 rail with half-width15 (§§1.4–1.5, lines598–664).

These nodes retain mixed roles: Rounded comparison heads4326/4296; dependency-owned comparison nodes3606/3576; source SKL Long terminal anchors2886/2856; regular Abraham2166; generated companion2136; Exodus1446 and generated companion1416. Replaying this admitted sequence is not permission to move additional SKL objects.

## Calendar spectrum and outer opening

Section2.1, lines671–708, supplies720/722/728/730 as twice360/361/364/365. The722 row is additive:672+50=2×(336+25)=2×361. Its existing coordinate display3608→2936→2886 uses672+50; it is not E(336) and does not redefine a solar year. Section2.2 gives the reconstructed intercalation ledger6×2190+1470=14610=40×365.25, with final block4×360+30. Section2.3 gives the complementary1470 sums690+780 and720+750.

Section3.2, lines761–786, expands only the two exterior690 cores by P. The literal resulting ladder is4336→4306→3606→3576→2886→2856→2166→2136→1436→1406, width2930. Inner cores and rail30 stay fixed. This supplies a bounded Actual/Rounded comparison, not a universal ten-year difference between their dates.

The final §5.1 closure moves each outer boundary another5=2 local Gear years+3 Priestly-gain years. In Nisan labels:

| Stage | Endpoints BC | Width | Midpoint |
|---|---|---:|---:|
|Native displayed ladder|4326 /1416|2910|2871|
|Exterior P opening|4336 /1406|2930|2871|
|Completed generated corridor|4341 /1401|2940|2871|

The matching Tishri final pair is4342t/1402t, center2872t. These generated extremities are not new Creation/Conquest anchors. The local2 term is a source-defined displacement in this construction, not permission for new upstream Gear transport.

## PhaseNorm40 and the two centered fields

Section4.1 fixes exact BC coordinates: coord(Xn)=X and coord(Xt)=X−1/2. Thus a displayed t/n center pair contains corresponding phase positions; it must not be flattened into one date. The four centers are Long2872t/2871n, Short2922t/2921n, upper bracket2952t/2951n, and Enoch2912t/2911n. The close2876 is not a center.

Section4.3, lines882–934, supplies:

| Bracket | Upper pair | Lower pair | Same suffix | Outer cross-phase | Inner cross-phase |
|---|---|---|---:|---:|---:|
|Before|2889t/2888n|2855t/2854n|34|34.5|33.5|
|After|2892t/2891n|2852t/2851n|40|40.5|39.5|

The scalar operations are P(34.5)=35, E(34.5)=37.5, and PhaseNorm40=37.5+2.5. The coordinate operation is outward3 on each same-suffix endpoint, preserving each phase center. The Key's34.5 input and the final40 corresponding-suffix width are different measured objects. PhaseNorm40 is a defined two-stage construction, not another Key.

A useful derived check resolves the integer labels in the source's recovered35 row: withdrawing2.5 from each normalized **Tishri** endpoint produces2889n/2854n; doing so from the **Nisan** endpoints produces2889t/2854t. The suffix changes follow the half-year coordinate convention. Direct subtraction verifies both widths35.

Sections4.4–4.5 translate the already supplied lower40 bracket by80=50+30 to produce2972t/2971n→2932t/2931n. The full120 field has Nisan boundaries2971,2931,2891,2851, centered at2911. Source Enoch's schematic70 has Nisan2946→2911→2876. Inserting those Enoch endpoints produces the exact120 partition25|35|35|25. Tishri labels are one larger. The outer25s are E(23); the central70 is P(69), with two P(34.5) halves. Their composition is additive; the120 is not one newly discovered full-span Key image.

Section4.2 separately distinguishes scalar closure1470 from coordinate closure1475:724.5=690+34.5 expands by P to735, whereas starting at2871±13 and moving outward724.5 gives arms737.5 and endpoints3609t/2134t. This is a particularly useful negative test against collapsing scalar and coordinate results.

## Civil continuation and micro/macro correspondence

Section5.2 continues the existing30|690 path through1446→1416→726→696→6 BC→AD25, total1470 by both component addition and civil1446+25−1. The726 node is schematic Samaria,696 a dependency-controlled Hezekiah seam, and AD25 a Christological comparison terminal. Section5.3's native750 bracket has civil pairs726BC/AD25 and724BC/AD27. The §5.4 extension AD27+3=AD30 uses the Priestly gain E(34.5)−34.5. It adds no new historical event assignment.

Section6, lines1114–1182, supplies two scales:

| Object | Root | J result | P result |
|---|---:|---:|---:|
|Ordinary calendar volume|34.5×364=12558 days|12600 days=35×360|12740 days=35×364|
|Cumulative elapsed-year comparison|14004−1446=12558 years|12600 years|12740-year scalar|

The Rounded pair14006/1406 independently supplies12600 years. Its endpoint roles remain distinct from Actual Creation/Exodus14004/1446. The common product12600×364=12740×360=4586400 is a unit-qualified register equality, not a third chronology. The source calls the micro/macro relation scale-homology, not unit identity.

## Fruitful bounded next tests

- **Twentyfold micro link.** Derive690=20×34.5,700=20×35,750=20×37.5. Thus the two Key-ready cores share exact scalar geometry. Keep normalized40 separate; its twentyfold value800 is not the Priestly core750. A further diagnostic is810/20=40.5, the final outer cross-phase width; this is a derived comparison, not a new source-declared endpoint map.
- **Generate the full phase table.** Use x=C+ε±w/2 with C2871, ε0 or1/2, and w34 or40. It reproduces every pre/post endpoint. A single affine map of all four positions fails: the half-year phase separation forces slope1, while34→40 demands20/17. This parallels the previous Enoch-family fixed110 versus changing70/72 result.
- **Explain the nested centers.** Generate the70 and120 fields from Enoch center2911 and half-widths35/60; generate the two40 brackets from centers2911±40. This should reconstruct25|35|35|25 without separately fitting the five coordinates.
- **Test the entire closure route.** Reproduce2910→2930→2940 through the two specified outer-core gains and then the two5-year boundary displacements. Verify the preserved Long center throughout; do not reinterpret the result as one unexplained whole-span ratio.
- **Close the calendar-volume triangle.** Derive the additional Priestly route E(34.5)×336=37.5×336=12600. Together with P(34.5)×360 and J(34.5)×364, this is the earlier common-calibration rule at the micro seed. It is a new derived connection across supplied statements. PhaseNorm40 instead gives40×336=13440, whose840 excess is exactly the residual2.5×336; no endpoint need be allocated.

All proposed tests above are preparation suggestions. They introduce no numbered completion, fresh event anchor, additional SKL transport, or second decimal inversion.