File_53: The Book of Jubilees as a 22-Fold Creation-Genealogy Witness

Cainan’s Expunction, the 7/13 Calendar Grammar, the Flood-to-Rest Chiasm, and Providential Synchronization

File-function

File_53 is a companion to File_51c, but not a continuation of the Rounded Scaffold argument. File_51c established the Book of Jubilees as a macro-rounded witness through the 49/50 dual register. File_53 isolates the internal symbolic architecture of Jubilees itself: the 22 works of creation, the 22 generations from Adam to Jacob, Cainan’s theological expunction, the 7/13 calendar grammar, the Flood-to-rest chiasm, and the larger providential synchronizations that connect BJ to the cumulative MT/SP/LXX fields.

The file must preserve a strict interpretive hierarchy:

LevelFunction
Textually explicitDirectly stated in Jubilees
Likely authorialStrongly implied by BJ’s structure and ideology
Plausibly authorialFits BJ’s calendrical/genealogical grammar but is not explicit
Providential / over-intendedCoherent beyond likely authorial awareness
Mirror corroborationSecondary stress-test only; never primary proof

The controlling premise is that Jubilees is not technically inspired in the canonical sense, yet may preserve genuine chronological and symbolic insight. The author may also speak more than he consciously knew under divine sovereignty.


1. Core thesis

Jubilees 2–8 presents a coherent symbolic system in which creation, genealogy, calendar, and judgment are interlocked.

The primary authorial structure is:

[
22\ \text{created works} = 22\ \text{covenantal heads from Adam to Jacob}
]

Cainan is historically preserved in Jubilees 8 but excluded from the sacred 22-count because his recovery of Watcher astral lore disqualifies him from the purified covenantal line. This is not a contradiction but a two-ledger system:

LedgerTreatment of CainanFunction
Historical/narrativeCainan includedExplains survival of Watcher astral lore after the Flood
Theological/covenantalCainan omittedPreserves 22-fold creation/genealogy symmetry

Thus BJ’s 22-count is not merely biological. It is purified, covenantal, and theological.


2. The 22 created works and the 22 patriarchal heads

The six-day distribution of the 22 works is:

[
7 + 1 + 4 + 3 + 3 + 4 = 22
]

#Created work/kindDayPatriarchal parallel
1Heavens1Adam
2Earth1Seth
3Waters1Enosh
4Ministering spirits / angelic orders1Kenan
5Depths / abysses1Mahalalel
6Darkness / evening / night1Jared
7Light / dawn / day1Enoch
8Firmament / separation of waters2Methuselah
9Seas / rivers / gathered waters3Lamech
10Dew / seed sown3Noah
11Sprouting things / fruit trees3Shem
12Garden of Eden / paradise3Arpachshad
13Sun4Shelah
14Moon4Eber
15Stars4Peleg
16Great sea monsters5Reu
17Fish / aquatic movers5Serug
18Birds / flying creatures5Nahor
19Land animals / wild beasts6Terah
20Cattle / domestic animals6Abraham
21Creeping things / earth movers6Isaac
22Humanity, male and female6Jacob / Israel

The omission of 2Cainan is necessary to preserve Jacob as #22. If Cainan is inserted, Jacob becomes #23 and the 22-fold structure collapses.


3. Cainan’s expunction and the 13th solar position

Cainan’s omission is more precise than a generic genealogical deletion.

If counted, Cainan would occupy the 13th patriarchal position. In the creation list, the 13th work is the sun. But Cainan’s sin in Jubilees 8 concerns the forbidden Watcher lore of sun, moon, stars, and heavenly omens. Therefore he would occupy the very solar/luminary position that he corrupts.

State13th positionMeaning
Cainan retainedCainanCorrupted astral lore
Cainan expungedShelahPurified line restored
Creation listSunLawful solar calendar

Thus Cainan forfeits the lawful solar position. Shelah receives it.

This supports the expunction hypothesis:

[
13_{\text{unredeemed}} = \text{Cainan, astral corruption}
]

[
13_{\text{redeemed}} = \text{Shelah, restored succession}
]

Cainan is historically real but covenantally blotted out.


4. The 7/13 calendar grammar

BJ’s calendar is structured around the 364-day year:

[
364 = 4 \times 91
]

[
91 = 13 \times 7
]

Thus 7 and 13 are the base numbers of the seasonal calendar.

BJ2 places:

PositionCreated workSymbolic force
7Lightordered illumination
13Sunlawful solar rule

This is not 13 as chaos. It is 13 united to 7.

Repository rule:

Number-stateMeaning
13 isolated from 7disorder, chaos, Day -1 condition
13 united to 7ordered solar time, redemption, lawful calendar
14 = 7+7doubled fullness
13×7 = 91sanctified seasonal order

Cainan represents 13 severed from 7: the luminaries converted into omen-lore. Shelah represents 13 restored under lawful order.


5. Adam Day 6, Sabbath Day 7, Eve Day 13

BJ stretches human formation across two weeks.

EventDay
Adam createdDay 6
God restsDay 7
Eve formedDay 13

Since Eve is formed on the sixth day of the second week:

[
6 + 7 = 13
]

Humanity is completed across the Sabbath boundary:

[
6 \rightarrow 7 \rightarrow 13
]

This reinforces the 7/13 calendar grammar. Eve’s formation on Day 13 is not merely seven days after Adam. It joins Adam’s Day 6 to Sabbath Day 7, completing the human pair through a 13-position structure.


6. Day 2, the 8th work, Year 8, and the Flood as anti-Day-2

Day 1 contains seven works. The 8th work is Day 2’s firmament, which divides the waters above from the waters below.

[
\text{Work 8} = \text{waters divided}
]

The Fall occurs in Year 8, after seven exact years in Eden.

[
\text{Year 8} = \text{Fall}
]

The Flood occurs 1300 years later, on the same anniversary pattern.

[
8\ \text{AM} \rightarrow 1308\ \text{AM} = 1300
]

The Flood reverses Day 2: the floodgates of heaven open from above and the fountains of the deep open from below. Creation divides waters to establish habitable order; judgment collapses the division.

Thus:

CreationJudgment
Day 2 separates watersFlood reunleashes waters
Firmament restrainsFloodgates open
Deep is boundedDeep erupts
Ordered worldDe-created world

The Flood is an anti-Day-2 event.


7. The 2450-year Fall-to-rest trunk

File_51c established the primary BJ macro-trunk:

[
3856\ \text{BC} \rightarrow 1406\ \text{BC} = 2450 = 50 \times 49
]

But File_53 refines the operative theological frame:

[
3849\ \text{BC} \rightarrow 1399\ \text{BC} = 2450
]

This is the paired year-7 frame:

BeginningEnding
Fall after the first seven-year thresholdLand-rest after the seven-year Conquest threshold
Eden ruinedParadise typologically recovered
3849 BC1399 BC

Thus the trunk runs from the ruin of Eden to the completion of Conquest/rest.

[
\text{Fall} \rightarrow \text{Land-rest} = 2450 = 50 \times 49
]

This retains the literal 49-year jubilee while permitting macro-50 structure.


8. Flood complex as bidirectional hinge

The Noah/Shem/Flood complex is calibrated both forward from the Fall threshold and backward from the land-rest horizon.

NodeFrom Fall, 3849 BCTo 1399 BCTotal
Noah born70017502450
Shem born120012502450
Flood130011502450
Noah dies16508002450
Shem dies18006502450

The forward interval sequence is:

[
700 + 500 + 100 + 350 + 150 + 650
]

The backward interval sequence is the reverse:

[
650 + 150 + 350 + 100 + 500 + 700
]

This is a true chiastic field. The Flood complex is not a local episode; it mediates between Eden lost and land-rest restored.


9. Century-day chiasm: 100 years = one symbolic day

Within the 3849→1399 trunk, the century may be read as one symbolic day:

[
100\ \text{years} = 1\ \text{day}
]

[
50 + 50 = \text{evening} + \text{morning}
]

This converts the Flood complex into an evening/morning chiasm.

Forward from 3849 BC

NodeSpanDay-position
Noah born700Day 7 evening
Shem born1200Day 12 evening
Flood1300Day 13 evening
Noah dies1650Day 17 morning
Shem dies1800Day 18 evening
Land-rest2450Day 25 morning

Backward from 1399 BC

NodeSpan backwardDay-position
Shem dies650Day 7 morning
Noah dies800Day 8 evening
Flood1150Day 12 morning
Shem born1250Day 13 morning
Noah born1750Day 18 morning
Fall2450Day 25 morning

The hinge forms a 12/13 crossing around Shem and the Flood.


10. Noah at 700 and Flood at 1300 from the Fall

The 7/13 grammar reappears at century scale.

[
700 = 7 \times 100
]

[
1300 = 13 \times 100
]

From FallEventMeaning
700Noah bornRest/comfort appears at the seventh century
1200Shem bornCovenant survivor-line appears before judgment
1300FloodJudgment arrives at the thirteenth century

Noah, whose name implies rest/comfort, appears at 7×100. The Flood arrives at 13×100. Thus the 7/13 grammar extends from creation works and Adam/Eve formation into macro-history.


11. Abrahamic 500/400 conquestal frame

BJ places Abram as follows:

EventDateTo Conquest
Abram born1981 BC575
Abram called1906 BC500
Abraham dies1806 BC400
Conquest1406 BC

Thus BJ interprets Genesis 15’s “400 years / fourth generation” toward land-possession, not merely Exodus.

[
1906 \rightarrow 1406 = 500
]

[
1806 \rightarrow 1406 = 400
]

Abraham’s death and burial in the land become the covenantal pledge whose national fulfillment arrives at Conquest.


12. Sarah’s death, 400 shekels, and the 400-year land-token

Abram is born in 1981 BC. Sarah dies when Abraham is 137.

[
1981 – 137 = 1844\ \text{BC}
]

[
1844\ \text{BC} \rightarrow 1444\ \text{BC} = 400
]

Sarah is the first buried in the purchased Machpelah plot. The field is purchased for 400 shekels. Thus the 400 shekels become a material land-token of the 400-year promise.

AnchorDate400-year targetMeaning
Sarah’s death/burial1844 BC1444 BCPost-Exodus threshold
Abraham’s death1806 BC1406 BCConquest

Sarah’s burial points to redemption from Egypt. Abraham’s death points to possession of the land.


13. Chronological flexibility under fixed covenantal constraints

Genesis 15 supplies definite but elastic parameters:

ParameterTextual force
400 yearsnumerical boundary
fourth generationgenealogical boundary

The text does not mechanically specify the start-point. Therefore ancient traditions could resolve the prophecy differently without pure contradiction.

BJ’s resolution is coherent:

[
\text{Abraham’s death/burial} \rightarrow \text{Conquest} = 400
]

The ambiguity of Genesis 15 creates a bounded interpretive field. Scribal traditions may debate the start and endpoint, but the resulting systems can be complementary rather than contradictory.


Part II — Providential and Repository-Level Synchronizations

14. Jared, 460, and the Watcher problem

BJ preserves Jared as 460 years after Creation.

[
3856 \rightarrow 3396 = 460
]

Jared is the Enochic Watcher-descent marker. Thus 460 becomes the BJ Watcher unit.

Under the Priestly Key:

[
460 \times \frac{25}{23} = 500
]

Jared marks the problem; the 460 expands to a clean mod-50 unit.


15. Abram 575→625 and the completion of 2450→2500

Abram’s birth to Conquest:

[
1981 \rightarrow 1406 = 575
]

[
575 = 23 \times 25
]

Under the Priestly Key:

[
575 \times \frac{25}{23} = 625
]

Expansion surplus:

[
625 – 575 = 50
]

This +50 completes the BJ trunk:

[
2450 + 50 = 2500 = 50 \times 50
]

Thus Jared and Abram flank the trunk:

FigureSpanExpansionFunction
Jared460500Watcher problem
Abram575625Abrahamic solution
Trunk24502500Fall-to-rest completed

This is likely providential rather than BJ authorial.


16. Levi as the hidden 23rd generation

With Cainan blotted out:

GenerationFigure
22Jacob
23Levi
24Kohath
25Amram
26Moses/Aaron

This permits a priestly 23→25 expansion.

[
23 \times \frac{25}{23} = 25
]

The two added generations are Kohath and Amram, precisely the two priestly-link generations whose birth dates are not specified in the canonical chronology, only their lifespans.

Thus Cainan’s expunction preserves both:

EffectResult
Jacob remains #2222 works / 22 generations preserved
Levi becomes #23priestly Key-of-23 field opens

Levi as #23 also corresponds to the uncounted Sabbath beyond the 22 works. The Sabbath is not a 23rd created work because its essence is cessation. Levi and the priesthood embody the no-sweat reversal of Adamic toil.


17. BJ Creation Week of Years: dual-state protocol

BJ does not explicitly state that the seven days of creation correspond to seven years. It implies the year-scale by placing the Fall seven years after creation. Therefore two BJ Creation-week models must be preserved.

ModelWeekMeaning of 3856 BC
Endpoint model3863–3856 BCCreation endpoint
Adam-Day model3861–3854 BCAdam created on sixth day/year

Endpoint model

[
3863–3856\ \text{BC}
]

Best for SP cumulative alignment and the Fall/rest trunk.

Adam-Day model

[
3861–3854\ \text{BC}
]

Best for Adam/Eve analogy and MT/LXX cumulative alignments.

The +30 apparent-age overlay of the Adam-Day model is:

[
3891–3884\ \text{BC}
]

with the single anchor:

[
3886\ \text{BC}
]

Machine Guard: Do not flatten these two BJ Creation-week models into one state.


18. SP cumulative Creation, 2Cainan, and the 10000-year Watcher span

SP cumulative Creation Week:

[
13403–13396\ \text{BC}
]

BJ Jared:

[
3396\ \text{BC}
]

[
13396 – 3396 = 10000
]

Thus the endpoint of SP cumulative Creation stands 10000 years before BJ Jared, the Watcher-descent marker.

If 2Cainan’s 460-year lifespan is restored to SP cumulative Creation:

[
13403–13396 + 460 = 13863–13856
]

Then:

[
13863–13856 \rightarrow 3863–3856 = 10000
]

This aligns restored SP cumulative Creation with BJ Creation Week by the Enochic Watcher-judgment number.


19. SP cumulative Shem/Flood to BJ Flood

SP cumulative Shem birth:

[
5316–5309\ \text{BC}
]

SP cumulative Flood / Shem death / Arphaxad node:

[
4716–4709\ \text{BC}
]

BJ Flood week:

[
2556–2549\ \text{BC}
]

Then:

[
5316–5309 \rightarrow 2556–2549 = 2760 = 6 \times 460
]

[
4716–4709 \rightarrow 2556–2549 = 2160 = 6 \times 360
]

SP Shem’s 600-year arc stands 2160 years above BJ Noah’s 600-year arc.

If 2Cainan is restored:

[
2760 + 460 = 3220 = 7 \times 460
]

Thus:

StateSpanMeaning
Cainan omitted6×460suppressed seventh Watcher/Cainan unit
Cainan restored7×460full heptad restored

20. SP cumulative Flood to BJ Creation: 860 as secondary corroboration

SP cumulative Flood:

[
4716–4709\ \text{BC}
]

BJ Creation endpoint model:

[
3863–3856\ \text{BC}
]

Strict same-boundary span:

[
853
]

Outer-boundary span:

[
4716 \rightarrow 3856 = 860 = 2 \times 430
]

Thus the 860 is not a same-boundary week-to-week span, but a full-envelope relation. Its value is secondary, but meaningful inside the larger SP/BJ cluster governed by 10000, 460, 360, 430, and 1290.


21. MT/SP cumulative Flood offset and MT Shem to BJ Flood

MT cumulative Flood:

[
4836–4829\ \text{BC}
]

SP cumulative Flood:

[
4716–4709\ \text{BC}
]

Difference:

[
120
]

This evokes the Genesis Flood-warning number.

MT cumulative Shem birth:

[
5436–5429\ \text{BC}
]

BJ Flood week:

[
2556–2549\ \text{BC}
]

[
5436–5429 \rightarrow 2556–2549 = 2880 = 8 \times 360
]

Decomposition:

[
600 + 120 + 2160 = 2880
]

ComponentValue
MT Shem birth → MT Flood600
MT Flood → SP Flood120
SP Flood → BJ Flood2160 = 6×360
Total2880 = 8×360

This shows providential compatibility between MT cumulative, SP cumulative, and BJ Flood chronology.


22. MT cumulative Creation and BJ Adam +30

MT cumulative Creation Week:

[
14011–14004\ \text{BC}
]

BJ Adam-Day +30 overlay:

[
3891–3884\ \text{BC}
]

[
14011–14004 \rightarrow 3891–3884 = 10120 = 22 \times 460
]

Single anchor form:

[
14006 \rightarrow 3886 = 10120 = 22 \times 460
]

If 2Cainan is restored:

[
14471–14464 \rightarrow 3891–3884 = 10580 = 23 \times 460
]

Single anchor form:

[
14466 \rightarrow 3886 = 10580 = 23 \times 460
]

Thus MT cumulative generates a 22/23 pair in Jared/Watcher units, matching BJ’s 22-count and hidden 23rd logic.


23. LXX cumulative Creation and BJ

LXX cumulative Creation Week:

[
14901–14894\ \text{BC}
]

BJ Adam-Day model:

[
3861–3854\ \text{BC}
]

[
14901–14894 \rightarrow 3861–3854 = 11040 = 24 \times 460
]

Under the Priestly Key:

[
11040 \times \frac{25}{23} = 12000
]

If 2Cainan is blotted out from LXX:

[
14901–14894 – 460 = 14441–14434
]

[
14441–14434 \rightarrow 3861–3854 = 10580 = 23 \times 460
]

Thus:

StateSpan to BJ Adam-Day model
LXX with Cainan24×460 = 11040 → 12000
LXX with Cainan removed23×460

The LXX therefore joins MT and SP in the BJ synchronization field.


24. Summary of cumulative tradition links to BJ

TraditionRelation to BJResult
SP cumulative endpoint → BJ Jared13396 → 339610000
SP + 2Cainan → BJ endpoint Creation Week13863–13856 → 3863–385610000
SP Shem → BJ Flood5316–5309 → 2556–25496×460
SP Shem + 2Cainan → BJ Flood5776–5769 → 2556–25497×460
SP Flood → BJ Flood4716–4709 → 2556–25496×360
MT Flood → SP Flood4836–4829 → 4716–4709120
MT Shem → BJ Flood5436–5429 → 2556–25498×360
MT Creation → BJ +3014011–14004 → 3891–388422×460
MT + 2Cainan → BJ +3014471–14464 → 3891–388423×460
LXX Creation → BJ Adam-Day14901–14894 → 3861–385424×460 → 12000
LXX − 2Cainan → BJ Adam-Day14441–14434 → 3861–385423×460

This table demonstrates that all three cumulative traditions link to BJ through a small family of controlling values:

[
10000,\ 360,\ 430,\ 460,\ 120,\ 1290,\ 22/23/24 \times 460,\ 12000
]


Part III — Mirror Stress-Test

25. Mirror function

The Mirror is secondary support. It is not the main proof. It functions as a noise-filter:

A pattern that remains coherent when transferred across the BC/AD Mirror has a higher probability of belonging to the system.

The strict A-space mirror of 1406 BC is AD 1405.


26. BJ Adam +30 to Conquest mirror

BJ Adam +30:

[
3886\ \text{BC}
]

A-space mirror of Conquest:

[
1406\ \text{BC} \leftrightarrow AD\ 1405
]

[
3886 \rightarrow AD\ 1405 = 5290
]

[
5290 = 23 \times 230
]

This is half of:

[
23 \times 460 = 10580
]

The same-side cumulative register preserves the full form:

[
14466 \rightarrow 3886 = 10580 = 23 \times 460
]

Across the Mirror the same grammar appears in half-register:

[
3886 \rightarrow AD\ 1405 = 23 \times 230
]


27. Expansion of the Mirror span

[
5290 \times \frac{25}{23} = 5750
]

Surplus:

[
5750 – 5290 = 460
]

The Mirror expansion produces exactly one Jared/Watcher unit.

Applying this surplus backward from BJ Adam +30:

[
3886 + 460 = 4346\ \text{BC}
]

[
4346 \rightarrow 1406 = 2940 = 6 \times 490
]

From 4346 BC:

[
14006 – 4346 = 9660 = 21 \times 460
]

[
9660 \times \frac{70}{69} = 9800 = 49 \times 200
]

[
14466 – 4346 = 10120 = 22 \times 460
]

[
14926 – 4346 = 10580 = 23 \times 460
]

Thus the Mirror expansion generates a 21/22/23×460 ladder.


28. BJ completes the MT/LXX 230-week pattern

Regular Year-6 Adam anchors:

TraditionYear-6 Adam anchor
LXX5496 BC
MT4116 BC
BJ Adam +303886 BC

The LXX/MT difference:

[
5496 – 4116 = 1380 = 6 \times 230
]

BJ supplies the missing seventh unit:

[
4116 – 3886 = 230
]

Therefore:

[
5496 \rightarrow 4116 \rightarrow 3886
]

[
6 \times 230 + 1 \times 230 = 7 \times 230
]

Across the Mirror:

AnchorTo AD 1405Span
BJ Adam +303886 → AD 14055290 = 23×230
MT Year-6 Adam4116 → AD 14055520 = 24×230
LXX Year-6 Adam5496 → AD 14056900 = 30×230

BJ’s Adam +30 node completes the 230-based Creation-week pattern implied by MT/LXX.


29. BJ Adam +30 self-mirror

[
3886\ \text{BC} \rightarrow AD\ 3885
]

[
3886 + 3885 – 1 = 7770
]

With the seven-year Creation envelope:

[
7770 + 7 = 7777
]

BJ Adam +30 to BJ Creation mirror:

[
3886\ \text{BC} \rightarrow AD\ 3855
]

[
3886 + 3855 – 1 = 7740
]

[
7740 = 6 \times 1290 = 18 \times 430
]

These values are not likely authorial, but they arise naturally from BJ’s 5×490 Creation-to-Conquest trunk when Adam’s +30 overlay transfers across the Mirror.


30. BJ Flood mirror in 364-day units

BJ Flood year:

[
2549–2548\ \text{BC}
]

Distance to BC/AD Mirror:

[
2548 = 7 \times 364
]

Mirror counterpart:

[
AD\ 2548–2549
]

Full mirror span:

[
5096 = 14 \times 364
]

[
5096 = 104 \times 49
]

[
5096 = 13 \times 8 \times 7 \times 7
]

This is highly appropriate because Jubilees embeds the 364-day calendar instruction and polemic in the Flood/Noah section.


31. Flood-dove and Christological gestation mirror

In the BJ Flood year, 2549 BC, the movement from the spring opening of the Flood to the winter dove/olive sequence forms an approximate nine-month arc.

This aligns typologically with:

FloodChristological mirror
Spring Flood openingSpring conception
Winter dove/olive signDec. 25 birth
Restored landNew creation
Noahic covenant horizonCircumcision/naming at BC/AD hinge

The dove’s appearance as sign of restored land after judgment mirrors the incarnational emergence of the Second Adam. This is providential typology, not BJ authorial intent.


32. Final synthesis

File_53 argues that BJ’s internal architecture has three concentric layers.

Layer 1 — Likely authorial BJ structure

ElementStatus
22 works / 22 generationsVery strong
Cainan expunged from 22-countVery strong
Jacob as 22nd headVery strong
Shelah replacing Cainan at #13Strong theological inference
2450-year Fall-to-rest trunkVery strong
Flood complex as bidirectional hingeStrong
Abrahamic 500/400 conquestal frameStrong

Layer 2 — Plausibly authorial / structurally coherent

ElementStatus
7/13 light-sun grammarModerate
Adam Day 6 / Sabbath Day 7 / Eve Day 13Moderate
Day-2 / Year-8 / anti-Day-2 FloodModerate
Century-day chiasmModerate; dependent on symbolic scale
Noah 700 / Flood 1300Moderate

Layer 3 — Providential / repository-level synchronization

ElementStatus
Jared 460→500Strong repository-level
Abram 575→625Strong repository-level
SP/MT/LXX cumulative links to BJStrong providential synchronization
22/23/24×460 ladderStrong providential synchronization
10000-year Watcher alignmentsStrong providential synchronization
Mirror transfersSecondary corroboration

The primary argument does not depend on the Mirror or Key-of-23 expansions. The core BJ thesis stands on internal grounds:

[
22\ \text{works} \leftrightarrow 22\ \text{purified heads}
]

[
\text{Cainan historically retained but covenantally expunged}
]

[
3849 \rightarrow 1399 = 2450 = 50 \times 49
]

[
\text{Fall/ruin of Eden} \rightarrow \text{Conquest/rest of land}
]

The providential synchronizations then show that BJ’s anchors remain compatible with the larger MT/SP/LXX cumulative system and with the BC/AD Mirror. They do not prove BJ authorial intent, but they raise the probability that the BJ chronology participates in a wider divinely governed chronological field.