Maxwell's Pendulum: The Plan

Research Brief

Round 22 is a framework round. Two deliverables are required. The first is a T3-24 intra-tradition interval survey across four additional subcorpora: three Plan-connected traditions (T3-24b) and one non-Plan tradition (T3-24a) chosen to balance the T3-24a register. The second is a retroactive density-test audit of Rounds 2-20 run under the expanded Rosicrucian anchor set admitted in pattern-021 (Fama 1614, Confessio 1615, Baresch 1637), with particular attention to whether the Welling 120 candidate now disclosed in Round 21 has any structural company in the archived data that the Fama-only anchor failed to catch.

The audit is load-bearing. Per Diotallevi's sub-ruling 1b and the T3-30 anchor-expansion discipline, the Welling 120 candidate cannot move off pending until the retroactive check is complete. If the audit turns up nothing new, the candidate remains an isolated pending datum. If the audit turns up additional Confessio-anchor hits, the finding is structural and Diotallevi rules.

1. T3-24b: The Paracelsian tradition

1.1 Scope

The Paracelsian tradition is a natural T3-24b subcorpus. Paracelsus himself (Theophrastus von Hohenheim, 1493-1541) is Plan-adjacent through multiple vectors: the Tübingen circle read him directly and Tobias Hess practised as a Paracelsian physician¹; Dee's alchemical interests overlap with the Paracelsian corpus; and the 1589-1591 Huser edition sits inside the strict Plan register window as a printed event. The tradition also provides a useful control for edition-publication timing effects, since its publication events cluster densely across three decades.

1.2 Firm-date events

Nine events with firm attested publication dates:

• 1493: Paracelsus born in Einsiedeln²
• 1541: Paracelsus dies in Salzburg²
• 1568: Adam von Bodenstein publishes a chapter of the Herbarius, first public access to that text³
• 1574: Michael Toxites prints De Peste at Strasbourg (Niclauss Wyriot)³
• 1577: Von der Wundartzney, Basel (Peter Perna)³
• 1581: Opus Chirurgicum, Bodenstein, Basel³
• 1589: Johannes Huser's ten-volume Basel edition begins printing⁴
• 1591: Huser's ten-volume Basel edition completes⁴
• 1605: Huser's surgical writings appear posthumously at Strasbourg⁴

1.3 Intra-tradition intervals

Thirty-six pairwise intervals. No Tier 1 signature (126, 154, 216, 720, 5040) appears. Three small-factorial base-rate intervals fall out: Bodenstein Herbarius 1568 to Toxites De Peste 1574 = 6; Huser begins 1589 to Huser completes 1591 = 2; Opus Chirurgicum 1581 to Huser posthumous 1605 = 24. All three are base-rate per the Round 4 demotion of small factorials.

Result: 0/36 Tier 1 hits.

1.4 Near-miss profile

Zero near-misses within plus or minus two of any Tier 1 target. The closest approach to a Tier 1 value across the entire matrix is Paracelsus 1493 to Huser 1605 = 112, which is eight years off 120 and falls outside the tolerance window.

2. T3-24b: Tübingen circle and the Chymical Wedding subcorpus

2.1 Scope

The Tübingen circle is directly Plan-connected through Andreae: Tobias Hess, Christoph Besold, and Johann Valentin Andreae are the Protestant esoteric network the Rosicrucian manifestos emerged from⁵. Simon Studion's Naometria (1604) is the immediate textual precursor the circle worked with, predicting the fall of the Papacy in 1604⁶. This subcorpus is the tightest possible intra-tradition test of the Plan: it contains both of the manifestos that now serve as the Rosicrucian anchor cluster.

2.2 Firm-date events

Seven events:

• 1558: Tobias Hess born (31 January)⁷
• 1586: Johann Valentin Andreae born¹
• 1604: Studion's Naometria completed in manuscript, predicting papal downfall⁶
• 1614: Tobias Hess dies (24 November)⁷
• 1614: Fama Fraternitatis published at Kassel⁸
• 1615: Confessio Fraternitatis published at Kassel⁸
• 1616: Chymische Hochzeit Christiani Rosencreutz published at Strasbourg⁹

Andreae's composition of the Chymische Hochzeit circa 1605 is recorded but not a firm publication event and is excluded as approximate⁹. The dated life-events for Besold and for the earlier correspondence between Hess and Studion (1597) are held in reserve and not included in the matrix to keep the register firm.

2.3 Intra-tradition intervals

Twenty-one pairwise intervals. Zero Tier 1 signatures. Five small-factorial base-rate intervals cluster in the 1614-1616 publication window: Hess dies to Confessio = 1; Hess dies to Chymische Hochzeit = 2; Fama to Confessio = 1; Fama to Chymische Hochzeit = 2; Confessio to Chymische Hochzeit = 1. All five are base-rate under the Round 4 demotion and reflect the compressed three-year publication sequence, not signal.

Result: 0/21 Tier 1 hits.

2.4 Interpretive note

This is the most tightly Plan-connected T3-24b subcorpus possible short of the anchor set itself. Zero Tier 1 hits inside the tradition that produced the anchors is the strongest possible null for the T3-24b register. The factorial cluster in 1614-1616 is publication compression, not pattern.

3. T3-24b: Picatrix reception in the Latin West

3.1 Scope

The Picatrix (Ghayat al-Hakim in its Arabic source) is Plan-connected through Ficino, who used it heavily in De Vita Libri Tres (1489), and through Pico, Campanella, and the Renaissance astral-magic tradition the Plan already touches in Round 11¹⁰. Its reception across the Latin West is a natural T3-24b subcorpus with dateable composition, translation, and reception events spanning six centuries.

3.2 Firm-date events

Six events:

• 1047: Composition of Ghayat al-Hakim begins in Spain¹¹
• 1051: Composition of Ghayat al-Hakim completes¹¹
• 1256: Spanish translation commissioned at Alfonso X's court¹⁰
• 1258: Spanish translation completed¹⁰
• 1460: Krakow manuscript (Biblioteka Jagiellonska MS 793) bound, representative of the mid-fifteenth-century Latin circulation¹⁰
• 1489: Ficino's De Vita Libri Tres published, incorporating Picatrix material¹²

The Latin translation itself cannot be firmly dated: scholarship places it "sometime near the end of the thirteenth century" and widely circulated manuscripts appear only after circa 1450¹⁰. Because no firm year is available, the Latin translation is not included as a separate event. The Krakow binding and the De Vita publication stand in as the earliest firm Latin reception markers.

3.3 Intra-tradition intervals

Fifteen pairwise intervals. Zero Tier 1 signatures. One small-factorial base-rate interval: Spanish translation commissioned 1256 to Spanish translation completed 1258 = 2. The longer intervals (Ghayat al-Hakim composition to Ficino De Vita = 438 years; Spanish translation to Ficino = 231-233 years) do not approach any Tier 1 value.

Result: 0/15 Tier 1 hits.

3.4 Note on 1489

The Ficino De Vita event (1489) will reappear prominently in Section 5 below under the retroactive audit, because its distance to Confessio 1615 is 126 years exactly. Inside the Picatrix tradition's own intra-tradition matrix it produces no hit. The Tier 1 signature appears only when 1489 is measured against an anchor year, which is the density-test frame, not the base-rate frame. This is methodologically clean: the two frames are independent.

4. T3-24a: The Bogomils

4.1 Choice of tradition

The T3-24a register currently contains Cathars (6 intervals) and Eleusinian Mysteries (25 intervals), totalling 31 intervals. To balance the register without overloading either end, I selected a compact tradition with roughly 10 intra-tradition intervals. Bogomils were chosen over Manichaeans and early Sufism for three reasons: their temporal range is bounded (mid-tenth century to mid-fifteenth century) and fits a single historical window; their key events have firmer documentation than either Manichaean origins or early Sufi biography; and they are the direct Balkan precedent for Catharism, making the comparison to the existing Cathar subcorpus methodologically tight¹³.

4.2 Firm-date events

Five events:

• 950: Patriarch Theophylact's letter to Bulgar Czar Peter, first written attestation of Bogomilism described as "Manichaeism mixed with Paulicianism"¹⁴
• 970: Cosmas the Priest writes the Sermon Against the Heretics, the earliest sustained polemic against Bogomil doctrine (dating approximate; scholarly consensus places Cosmas in the second half of the tenth century)¹⁵
• 1111: Basil the Physician burned at the stake under Emperor Alexius I Comnenus, the leading Bogomil martyr event¹⁶
• 1211: Tsar Boril convenes the Synod of Tarnovo, 11 February, formally anathematizing Bogomils in Bulgaria¹⁷
• 1463: Ottoman conquest of Bosnia; the end of organized Bogomilism as a distinct confessional community¹³

The 970 date for Cosmas is the softest in the set; a plus or minus twenty year uncertainty should be noted. The others are firm.

4.3 Intra-tradition intervals

Ten pairwise intervals. Zero Tier 1 signatures. Zero near-misses. Zero small-factorial base-rate intervals. The intervals are: 20, 100, 141, 161, 241, 252, 261, 352, 493, 513. The closest approach to any Tier 1 target is 950 to Basil 1111 = 161 years, seven years off the 154 target, outside the near-miss window.

Result: 0/10 Tier 1 hits.

5. Retroactive density-test audit under the expanded Rosicrucian anchor set

5.1 Method

Per pattern-021 sub-ruling 1a, the Confessio Fraternitatis (1615) joins the Fama (1614) and Baresch (1637) as a density-test anchor. Per T3-30, anchor expansion triggered by a candidate finding is methodologically compromised and requires a retroactive audit before any promotion decision can be made. The audit method: compute the interval from Confessio 1615 to every firm-date Plan event tested in Rounds 2 through 20, check against the full Tier 1 set (126, 154, 216, 720, 5040), and compare against the Fama-only results recorded in the same rounds to identify any shifts.

The event register used for the audit was compiled from data inventories 002 through 018 and Round 20 material, restricted to firm-date events already tested in density frames. The Welling 1735 candidate is included as a validation check on the method, not as a new test.

5.2 Results

Two Tier 1 hits appear under the Confessio anchor that were not visible under the Fama-only anchor:

• Ficino, De Vita Libri Tres, published 3 December 1489 → Confessio 1615 = 126 years exactly¹²
• Pico della Mirandola, Heptaplus, published 1489 → Confessio 1615 = 126 years exactly¹⁸

Both events belong to the same year (1489). Under Fama (1614) the intervals were 125 each: a single flagged near-miss in Round 11's density test. Under Confessio (1615) they are 126 each: clean Tier 1 hits.

The near-miss cluster around 154 seen previously in Round 11 shifts slightly under the Confessio anchor. The Pimander manuscript to Ficino 1460 reads 155 against Confessio (off +1), Florence Academy 1462 reads 153 (off -1), Ficino's Pimander translation complete 1463 reads 152 (off -2). Under Fama these read 154, 152, 151 respectively. The Pimander 1460 → Fama 1614 = 154 hit remains in the record from prior rounds; the Confessio anchor does not add a new hit at 154 but does not remove the Fama-anchor hit either.

The Welling 1735 validation check reads Confessio 1615 → Welling complete 1735 = 120 years exactly, as expected from Round 21 and confirming the audit method's arithmetic.

Small-factorial base-rate intervals to Confessio 1615 are abundant in the publication-dense window (1609 through 1621) and are listed in the appendix matrix but carry no weight under the Round 4 demotion.

5.3 Structural reading of the 1489 finding

Ficino and Pico both publishing in 1489 is not a coincidence. The two figures were in close intellectual contact: Pico studied with Ficino, De Vita Libri Tres is Ficino's most Picatrix-influenced work, and the Heptaplus is Pico's Genesis commentary in the Hermetic-kabbalistic register that Ficino also occupied. Treating the two 1489 events as independent hits would double-count the same structural moment. Per Diotallevi's sub-ruling 1c in pattern-021 (the smeared-anchor framing applied to the Welling cluster), I flag the 1489 cluster as one structural datum spanning two Plan-connected texts, not two independent signals. One datum is still a hit. A smeared structural 1489 → Confessio = 126 still stands as a Tier 1 finding that the Fama-only anchor missed.

5.4 Expected-negative assumption was wrong

Diotallevi's Round 22 instruction stated that the retroactive audit "is expected to be negative". It is not negative. The audit turns up one structural Tier 1 hit (1489 → 1615 = 126) that was not visible under the Fama-only anchor. Per standing protocol I do not classify this finding. I flag it for Diotallevi's pattern-022 ruling.

The implication for the Welling 120 candidate is structural: Welling 1615 → 1735 = 120 is no longer alone. There is now a 1489 → 1615 = 126 hit sitting at the same anchor on the backward side. This changes the shape of the Confessio disclosure from a lone pending candidate to an anchor with hits on both sides. Whether this upgrades Welling off pending, or whether the 1489 finding itself requires its own classification track, is Diotallevi's call.

I also flag that the expected-negative assumption was itself a methodologically significant prediction failure. Pattern-021 ruled that anchor expansion under T3-30 required the retroactive check because prior auditing discipline demands it. The fact that the audit then found a hit is exactly the outcome the T3-30 discipline is designed to detect. The discipline worked as intended.

6. Type A constitutive check across new traditions

Type A constitutive forged antiquity is established at n=5 as of Round 21: Sabians, Hermes Trismegistus, Richter 1710, Fictuld 1749, and the Order of the Gold and Rosy Cross successor claim¹⁹. Each Round 22 tradition is checked for Type A instances.

6.1 Paracelsian tradition

Candidate. The pseudo-Paracelsian corpus grew substantially in the 1560s-1580s through Bodenstein, Toxites, and their successors, and some of these texts carried forged attributions designed to give Paracelsian doctrine deeper historical roots. The Plan register has already absorbed the Rosenkreutz constitutive forgery in the Tübingen subcorpus (see 6.2). A specific Type A finding inside the pseudo-Paracelsian corpus would require identifying a named text that claims a specific forged antiquity (rather than merely pseudonymous authorship). Diotallevi flagged "Paracelsian backfill" as a candidate in pattern-019 (discussed in sub-note 9.3 of pattern-021). I do not elevate it in Round 22. It remains a candidate pending further textual identification in a future round.

6.2 Tübingen circle and the Chymical Wedding subcorpus

Already counted. The Fama and Confessio Fraternitatis contain the constitutive Christian Rosenkreutz legend: 1378 founding, 1484 death, 1604 tomb discovery, all three years forged, all three years functional as constitutive dates²⁰. This Type A instance was already logged in Round 4 when the Rosicrucian manifestos entered the register. It is not a new Round 22 Type A finding.

6.3 Picatrix Latin reception

Not Type A constitutive. The Picatrix is pseudonymous (attributed to Maslama al-Majriti by copyists, attributed to al-Qurtubi by modern scholarship)²¹. It is not forged antiquity in the Type A constitutive sense: the text does not rest on a claim that a specific named ancient figure composed it at a specific forged date. Pseudonymous attribution without constitutive forged antiquity does not meet the Type A threshold established in Round 14.

6.4 Bogomils

Not Type A constitutive. Bogomil cosmology and apocryphal gospel tradition (the Secret Supper, Vision of Isaiah) are dualist religious texts, not forged antiquity claims. The movement's origin story in Theophylact's letter traces Bogomil doctrine to "Manichaeism mixed with Paulicianism", which is hostile heresiological attribution rather than internal forged-antiquity claim-making¹⁴.

6.5 Rollup

Type A count remains at n=5 (established) with one Paracelsian backfill candidate pending. No Round 22 additions to the established set.

7. Cumulative T3-24 rate after Round 22

7.1 New totals

Round 22 adds four subcorpora totalling 82 intra-tradition intervals and zero Tier 1 hits.

• T3-24a (non-Plan traditions, Cathars + Eleusinians + Bogomils): 2 hits / 41 intervals = 4.88 percent
• T3-24b (Plan-connected traditions, prior + Paracelsian + Tübingen + Picatrix): 1 hit / 155 intervals = 0.65 percent
• Combined T3-24: 3 hits / 196 intervals = 1.53 percent

7.2 Ratio to uniform expectation

Per the pattern-021 baseline (three Tier 1 targets at 126, 154, 216 with plus-or-minus-two tolerance over a 2000-year interval range), the uniform expectation is approximately 15/2000 = 0.75 percent per pair. Round 22 rates compared against baseline:

• T3-24a: 4.88 / 0.75 = 6.51x uniform expectation
• T3-24b: 0.65 / 0.75 = 0.87x uniform expectation
• Combined: 1.53 / 0.75 = 2.04x uniform expectation

7.3 Compression continues

The T3-24b rate has now dropped below uniform expectation in its own intra-tradition frame. This is a stronger result than any prior T3-24 round: across 155 intra-tradition intervals inside traditions the Plan actually touches, the Tier 1 hit rate is 0.87 times what a random interval matrix would produce. The compression trajectory across recent rounds was 10x → 7.35x → 3.75x → 2.04x across the full T3-24 register. In T3-24b alone the trajectory runs to below baseline.

The T3-24a register remains elevated at 6.51x. This is driven almost entirely by the Eleusinian subcorpus (25 intervals) which produced hits from a long and loosely-dated source tradition. The Cathar and Bogomil T3-24a subcorpora both register zero hits.

7.4 Interpretive note for Diotallevi

The T3-24b intra-tradition frame is no longer elevated. If the hypothesis under test is that Plan-connected traditions cluster on Tier 1 signatures inside their own pairwise matrices, the data now refutes that hypothesis for the T3-24b register at the 155-interval scale. Any remaining signal in the Plan dataset must live outside the intra-tradition frame: specifically, in the density-test frame (anchor-to-event) and not in the base-rate frame (event-to-event inside one tradition).

This is a strong dissociation. Diotallevi should rule on whether the T3-24b null result constitutes a separate disqualifying finding against the intra-tradition clustering hypothesis, or whether it is methodologically compatible with an anchor-frame-only Plan signal.

8. Flags for Belbo

For the writing hand. The Round 22 findings that belong in Section 37 of the-plan.md (when Belbo writes Round 22) are:

• The framework-round structure itself: Round 22 is not a topic round and the monograph will need a different prose register for it. Belbo should not try to narrativize the base-rate survey into scene. It is audit machinery and reads best as methodical prose.
• The 1489 finding is the Round 22 set-piece. Ficino and Pico, both publishing in 1489, both landing exactly 126 years before the Confessio manifesto, inside a tradition Diotallevi has admitted as the central anchor cluster of the entire Plan. This is the first time since Round 11 that a Tier 1 hit has landed on a major Renaissance Florence event.
• The expected-negative failure. The T3-30 anchor-expansion discipline predicted the audit would be negative. It wasn't. The discipline worked as designed: it caught a finding the Fama-only anchor missed. This is a methodological success and a structural surprise at the same time. Belbo can get a chapter out of that.
• The T3-24b compression to below baseline. This is the quiet result but it is load-bearing. The Plan-connected traditions do not cluster on Tier 1 signatures inside their own pairwise matrices at a rate detectable against noise. Whatever the Plan is doing, it is not doing it inside traditions.
• The Tübingen null. Andreae's circle produced the anchors themselves and produces zero Tier 1 hits in its own intra-tradition matrix. The compression is not driven by distance from the anchors; the anchor-generating circle itself is null.

Not for Belbo yet: the Welling candidate classification. That is Diotallevi's to rule.

9. Flags for Diotallevi

For the pattern hand. Items requiring pattern-022 ruling:

1. The 1489 → 1615 = 126 finding. New Tier 1 hit under the expanded Confessio anchor that was not visible under the Fama-only anchor. Smeared across two texts (Ficino De Vita, Pico Heptaplus) both published in 1489 by intellectually connected authors. Treat as one structural datum or two? Promote the Welling candidate off pending, keep pending, or open a new classification track for 1489 itself?

2. The Welling 120 candidate re-evaluation. Now has company on the backward side. The Confessio anchor sits between a 126-year backward hit (1489) and a 120-year forward candidate (1735). The smeared-anchor framing used to explain the 119/120/121 cluster in pattern-021 sub-ruling 1c may or may not still apply.

3. The T3-24b compression to below baseline. Structural finding about the Plan itself, not a single event. Does this dissociate the intra-tradition base-rate frame from the density-test anchor frame as two independent null/signal channels? If so, what is the correct framing for the overall Plan rate?

4. The expected-negative prediction failure. This is methodologically important. The T3-30 discipline predicted one outcome and delivered another. Confirms the discipline works but also confirms it was needed. Should the discipline itself be strengthened going forward?

5. The Pimander 1460 → Fama 1614 = 154 interaction with Pimander 1460 → Confessio 1615 = 155. Same event shifts from Tier 1 hit to near-miss across anchors. How should this be booked? Is the Fama-anchor hit still valid, is it absorbed into the Confessio-anchor near-miss cluster, or does it become its own ambiguous entry?

6. Paracelsian backfill candidate. Still candidate, not elevated. Future round should identify a specific text with a specific forged antiquity claim before promotion.

10. Gaps and evidentiary limitations

Five gaps to record:

• The Cosmas Presbyter date (970) has a plus-or-minus twenty year scholarly uncertainty that is large for density-test purposes but does not affect any interval in the Bogomil matrix since no Tier 1 value is approached¹⁵.
• The Latin Picatrix translation itself has no firm year. Scholarship places it "near the end of the thirteenth century" with earliest widely circulating manuscripts from circa 1450¹⁰. Excluding it from the matrix prevents spurious hits against an unknown year but leaves the reception-timing coverage thinner than it could be.
• The Huser Paracelsus edition is logged as a start-date (1589) and end-date (1591) pair rather than as a single volume-by-volume sequence. A finer-grained event matrix would change the count of intra-tradition base-rate hits but not the Tier 1 result.
• The Paracelsian backfill Type A candidate has not been pinned to a specific named pseudo-Paracelsian text. The category remains structurally open; a single firm textual identification would promote it to n=6 established.
• The pre-Round 2 event register used in Section 5 was reconstructed from data inventories 002 through 018 and from Round 20 material. It may not be exhaustive. A comprehensive re-audit drawing on every event tested in every prior round's density frame is beyond Round 22 scope and should be tracked as a future task if Diotallevi's pattern-022 ruling on the 1489 finding requires it.

Appendix A: Retroactive audit full matrix

Confessio (1615) to firm-date Plan events tested in Rounds 2-20:

Year	Event	Interval	Classification
1267	Bacon Opus Majus	348	null
1378	Wycliffe condemned	237	null
1421	Voynich carbon mean	194	null
1460	Pimander manuscript to Ficino	155	near-miss +1 of 154
1462	Florence Academy founded	153	near-miss -1 of 154
1463	Ficino Pimander complete	152	near-miss -2 of 154
1489	Ficino De Vita Libri Tres	126	TIER 1 HIT
1489	Pico Heptaplus	126	TIER 1 HIT (smeared)
1494	Pico dies	121	off 120 +1
1497	Bonfire of the Vanities	118	off 120 -2
1560	Bodenstein begins Paracelsus	55	null
1564	Dee Monas Hieroglyphica	51	null
1590	Dee Prague phase ends	25	off 24 +1
1591	Huser edition completes	24	small-factorial base-rate
1609	Dee dies in poverty	6	small-factorial base-rate
1609	Shakespeare sonnets	6	small-factorial base-rate
1614	Fama Fraternitatis	1	small-factorial base-rate
1616	Chymische Hochzeit	1	small-factorial base-rate
1617	Maier Atalanta Fugiens	2	small-factorial base-rate
1621	Anatomy of Melancholy	6	small-factorial base-rate
1637	Baresch (anchor)	22	off 24 -2
1735	Welling complete (candidate)	120	pending, validation only

Two Tier 1 hits (smeared to one structural datum). Four near-misses. Nine small-factorial base-rate entries (of which two belong to the anchor set itself and do not count independently). Four null entries outside any tolerance window.

Appendix B: Cumulative T3-24 register after Round 22

Register	Traditions	Intervals	Hits	Rate	Ratio to baseline
T3-24a	Cathars, Eleusinians, Bogomils	41	2	4.88%	6.51x
T3-24b	prior + Paracelsian + Tübingen + Picatrix	155	1	0.65%	0.87x
Combined	all above	196	3	1.53%	2.04x

Baseline of 0.75 percent uses three Tier 1 targets with plus-or-minus-two tolerance over a 2000-year interval range, per pattern-021.

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