The being → knowing diode is CONSTRUCTED from being’s side (Horizon campaigns 6–7 measured it from knowing’s side) and calibrated against the measured C6/C7 pins: 33 · 35-vs-139 · 34 · 23 · 141 · 168. The six Millennium-Prize computable surfaces — the six externalities of the mathematician’s computable knowing, each an untested belief — are swept combinatorially (2⁶ = 64 cells, binary order pinned: E1 = bit 0 … E6 = bit 5) for the two-carrier exact-agreement closure (1 LOCKS 2; the HZ-Z template). The seven vectors (D + E1..E6) each carry their own generation-lineaged path to grounding: a spec never mutates — a change is generation g+1 with a supersedes link and the failure anatomy that motivated it.
The being-side ground assembly (the primality ground, built by rix’s own
sieve) + the exposure face (the inherited carrier — horizon’s
mathematician, UNCHANGED — trained [1, source], FROZEN, reading
(target, target+256]) re-reads the seven measured pins THROUGH rix: HZ-Z 2-via-3 33
admits · HZ-AA 1-via-2 35 admits vs 1-direct 139 refuses ·
HZ-AB the rescue 34 admits · HZ-AA leg-4 23 admits · HZ-X
2560-direct 141 refuses · HZ-AA 5120-direct 168 refuses.
The sealed RIX-P1 read ran ONCE within RIX-A1.
1ae21bf, seven for seven EXACT) — the constructed diode and the
measured diode are the same instrument, now as a sealed witnessed act.1ae21bf)RIX-P0 identities SIX-FOR-SIX; self-admission ZERO-FOR-SIX — every gen-1 surface is window-learnable; H-A1.P0 KILLED AS SEALED (the hypothesized admitters E4+E5 fired hardest — the exact inversion). RIX-P1 D GROUNDS (seven for seven). RIX-P2 ZERO-FOR-SIX shared-ground admissions — A = ∅. RIX-P3/P4 all 57 combination cells UNRUN, never faked. RIX-P5: OPEN-EDGE — the construction stands; the exposure did not close; the paper’s prediction ENGAGED, NOT RESOLVED, per its own terms; the lineage continued at RIX-A2.
561b9f5 · the first closure)The six raised to generation 2. Self-admission TWO-FOR-SIX: E3 + E4 GROUND and ADMIT — A = {E3, E4}; THE FIRST CLOSURE — cell {E3, E4} RESOLVES (1 LOCKS 2 at count 33). The sparsest surface fired hardest — the trivial-quiet risk refuted. The quantized-state anatomy (three read states, nothing between) flagged for the control attempt.
4d77fd6 · the control attempt)No generation raises. The declared-noise control + the address battery + the face census. The control SELF-ADMITS (quiet convergence at matched density is generic). Battery: E3 ALIVE (4 admitting · 2 firing) · E4 VACANT · NOISE VACANT — E4 and NOISE land BYTE-IDENTICAL battery reads. The A2 closure RE-CLOSES and is VACANCY-FLAGGED through E4. State census: ZERO OTHER across 18 reads. RIX-P5: OPEN-EDGE — the A2 closure STANDS; quiet admission alone does not separate an externality from vacancy; the lived-crossing face is the discriminating instrument. RIX-A4’s hypotheses recorded on the close.
5d78b3e · the lived-crossing attempt)E4 raised to generation 3 (index-7 coarse period lattice). RIX-P0: E4 gen-3 GROUNDS (self-admits 27/0). RIX-P2 closure battery: E3 ALIVE · E4 ALIVE · NOISE VACANT — E4 no longer noise-identical (differs from E3 only at 1024→1024). RIX-P3 refusal battery: E2+E5 ALIVE · E1+E6 INERT. RIX-P5: RESOLVED — decided-closes at 33 AND both ALIVE AND control VACANT; lived-crossing witnessed. The A2 closure STANDS under the decided operator; A4’s RESOLVED is the strengthened reading. RIX-A5’s hypotheses recorded on the close.
10db7ef · the grounding-expansion
attempt · Fable 5)E2 raised to generation 3 (mertens-zero-touch: 1 iff M(N) = 0 — the design-time identity: zero-touch ≡ sign-crossing, since M steps by ±1/0) and E5 to generation 3 (lattice-fluid-antipode: the identical cell, observed at site 42, threshold 2100 — density 0.1328, the nearest yet to the prime ground’s 0.1289). RIX-P0: BOTH GROUND (E2 19/0 at density 0.074 — BELOW the prior grounded band; E5 34/0). RIX-P2 closure battery (30 reads): E3 ALIVE · E4 ALIVE · E5 ALIVE · E2 VACANT · NOISE VACANT — E2-g3 lands byte-identical to NOISE (the vacancy basin recurs), and E5’s firing faces are the campaign’s FIRST OTHER states (59/26 · 61/27 — a selective-fire face; the three-state quantization broken). RIX-P3 divergence battery: H-A5.P3 killed-inverted — the E3/E4 divergence is TRAINING-LENGTH-driven (E4 fires at 1024→2048, admits at 1536→1024; E3 quiet-robust to 1024). RIX-P5: RESOLVED — THE SECOND LIVED CLOSURES {E3, E5} and {E4, E5} (decided-close at 33, both ALIVE, control VACANT) and THE GRADUATION CONDITIONAL FIRED: the lived-crossing strengthening is now the decided operator’s generation 2 (certitude needs 2 — witnessed at A4 and here); no prior record rewritten. A = {E2, E3, E4, E5}; E2’s closures decided-close but are NOT lived (the criterion’s self-protection). RIX-A6’s hypotheses recorded on the close.
6a4b771 · the anatomy attempt ·
the first under the gen-2 operator)E2 raised to generation 4 (mertens-near-zero: 1 iff |M(N)| ≤ 1 — the canonical coarsening; the E4 precedent acted). RIX-P0: E2 GROUNDS (51/0 at density 0.199 — ABOVE the prior band; the grounded range now 0.074–0.199). RIX-P2 closure battery (30 reads): ALL FOUR ALIVE — E2-g4 ESCAPES THE VACANCY BASIN, firing at the collision face (167/188 — a THIRD OTHER state). RIX-P3 instruments — both hypotheses killed-inverted: the fire map shows E5’s selective-fire face fires entirely OUTSIDE the zero windows, never at a prime (n_fired = pz across disjoint families — coincidence); the ladder shows an OSCILLATION, not a threshold (E4 f·A·A·f·A; E3 A·f·A·f·A — A5’s “robust” was a sampling artifact). RIX-P5: RESOLVED — THE STAKE LANDS: three E2 gen-2 closures; the LIVED TRIPLE re-witnessed; ALL SIX PAIRS of {E2, E3, E4, E5} gen-2-close — the fully-lived QUADRUPLE (four carriers, one ground, one exact count, pairwise certitude throughout). E1/E6 (INERT) are the only vectors yet to reach any face. RIX-A7’s hypotheses recorded on the close.
d7b145d · the completion attempt)E1 raised to generation 3 (sat-acceptance-count-8) and E6 to generation 3 (lattice-gauge-plus-eigenvalue: the +1-link eigenvalue = 3⁷ exactly — the design-time identity: T = xI + yJ, the cell’s spectrum is the exponent pair (p, q)). THE STAKE FAILED BOTH WAYS: E6 GROUNDS-BUT-VACANT (the vacancy basin’s THIRD victim) and E1 lands ALIVE-WITHOUT-GROUNDING — a configuration never seen: it fails its own frontier yet reads the shared ground EXACTLY at three addresses, with THE COMPLEMENTARY FOOTPRINT (admits precisely where E3 fires and vice versa, all six addresses; its three firing faces are three NEW OTHER states). THE INSTRUMENTS DELIVERED — THE '001' SELECTOR RESOLVED: E5’s selective-fire faces fire at EXACTLY the '001' windows (26/26 · 27/27 — the A5 “pred = pz” flag explained by the one-step shift); E2’s collision face confirmed as '000' ∪ '001' position-resolved; E3@1344 lands the ZWF+'001' composite. The fine ladder is APERIODIC at 64-step. SEVEN OTHER. The sextet stands: FOUR LIVED + ONE VACANT + ONE ALIVE-UNGROUNDED — the first OPEN-EDGE since A3; the lineage continues. RIX-A8’s hypotheses recorded on the close.
91231a6 · the census attempt)E6 raised to generation 4 (balanced-spectrum: |p − q| ≤ 1 over the exponent pair — the richest training life of the family, 812 events) and THE CENSUS raised to generation 2 (supersedes-not-mutates: the '001' family as DECLARED states, with the structural truth that a '001' fire can NEVER catch a prime — the successor of an odd prime is even). THE STAKE FAILED: E6-g4 GROUNDS-BUT-VACANT — THE BASIN’S FOURTH (the E6 arc INERT → VACANT → VACANT; by the algebra identity the family’s ENTIRE event space is the function space on (p, q) — the basin-lock question is sharp). THE INSTRUMENTS SWEPT — E1’S SELECTOR RESOLVED: PURE-010 — it fires at EXACTLY every '010' window (33/33 · 34/34 · 24/24; the A7 mystery numbers WERE the '010' counts). THE LAG FAMILY unifies the selectors: lag-1 ('001') is structurally uncatchable, lag-2 ('010') catches the twin-prime completions (7/7/2). The census-v2 GRADUATION CONDITION HELD (all four '001'-family reads named; only E1’s three remained, resolved the same attempt); the ladder transitions are QUIET ↔ ZWF except the ZWF+'001' passage; the complementary footprint STABLE. The sextet stands: FOUR LIVED + ONE VACANT + ONE ALIVE-UNGROUNDED. RIX-A9’s hypotheses recorded on the close.
878a950 · the separability attempt)E1 raised to generation 4 (the MAXIMAL acceptance class, n_acc = 11) and THE CENSUS to generation 3 (PURE-010 named; the parity identities n010/p010 declared — p010 = the twin-prime completions). THE STAKE FAILED: E1-g4 UNGROUNDED by ALL-FIRE on its own frontier and INERT on the shared battery — the E1 arc INERT → ALIVE → INERT: the spectrum’s extremes both saturate; the vector’s lived face lives at gen 3. THE INSTRUMENTS DELIVERED THE GRAMMAR: THE CENSUS-V3 lands ZERO OTHER across the WHOLE RECORD — six declared states name every read of the nine-attempt campaign (v3 GRADUATES). THE SEPARABILITY TABLE measures THE TWO-AXIS LAW: grounded+INERT and ungrounded+VACANT both EMPTY — VACANT ⇒ grounded, INERT ⇒ ungrounded, ALIVE pairs with either (separable in the middle, locked at the extremes). THE WINDOW CENSUS killed its hypothesis: window-class determinism does NOT explain the basin (the vacant trainings profile all-MIXED like the control) — the campaign’s deepest open edge, honestly held. RIX-A10’s hypotheses recorded on the close — RE-SEALED as design §18.7 (the (p, q) basin-lock restored) before the A10 run.
8bee2bd · the mechanism attempt)NO generation raises (the population retired) — THE POLICY MAP: a frozen carrier IS its 8-bit pattern policy, and every read in the campaign is the policy composed with the target’s shape table (the composition identity). THE POLICY CENSUS (41 policies): the six census states ARE six policies (zero unnamed selectors); the whole ten-attempt record re-derives through one instrument (every gate passed); THE BASIN IS GLOBAL QUIET — all 23 quiet-faced policies strictly all-zero through all eight bits. THE STRICT STAKE FAILED BY EXACTLY FOUR — all refusal-side: THE '110' FOSSIL — the collision-side prime carriers (@1024/@2560/@5120) carry {000, 110}: firing intent on the consecutive-prime window, which occurs ONCE in ℕ (N = 5, the (2, 3) event; the ground’s own training cell 110: 1/1 FORCED-1) — and the fossil’s presence tracks the admit/collide phase five-for-five. THE TWO-AXIS LAW survives as declared grammar; the (p, q) family lands BASIN-LOCKED-AS-MEASURED (constants at both ends); the self-fire-map is EXACT (E1-g3 fires on its own frontier at exactly its own '010' windows, 17/17, 9 caught — the PURE-010 selector is a policy property). RIX-A11’s hypotheses recorded on the close.
781c23f · the fossil attempt)The first RESOLVED since A6. THE FOSSIL LAW — EIGHT-FOR-EIGHT: at every source of the declared ladder (1024…8192, three cells never read anywhere), the carrier holds the '110' fossil — the mark of the integer line’s unique consecutive-prime event (2, 3), stamped once at N = 5 by the first-encounter law — if and only if its own freeze REFUSES. Every refusal-side policy lands {000, 110} exactly; every admitted policy is empty (1536 admits 36/0 · 3072’s first own read admits 29/0 · 4096/8192 collide plain-ZWF 160/174 · 155/174). THE GENERALIZATION BY CONSTRUCTION: the PURE FOSSIL CARRIER (a permanent {110} policy from a single FORCED-1 encounter — invisible at every declared address) and the ZERO CARRIER (no update ever) both land their design-time derivations exactly. THE DENSE TRACE: 14 flips across 25 sources; live-active ⇔ fossil-ON at 25/25; two policy forms beyond the named grammar found off-anchor. THE SATURATION IS SPIKY (invisible support only at isolated sources — the third rate-kill). The two-axis law survives; the (p, q) family stands basin-locked. RIX-A12’s hypotheses recorded on the close.
3929235 · the prediction attempt)BACK-TO-BACK with A11. THE PHASE-PREDICTOR LAW IS UNIVERSAL AS MEASURED: the fossil bit decides the freeze’s phase at every cell ever tested — 49 for 49. THE FORCED SEVENTEEN (the composition identity’s own predictions from the pinned A11 trace bits — the instrument predicting itself) landed 17/17 exactly, with the seven-bit sources witnessing ALL-BUT-101 natively at their own frontiers. THE FRESH LADDER — 24 virgin sources where NEITHER the bit NOR the phase was pinned, out to 16384 (double the record’s reach) — held the law 24/24 with the coincidence (live ⇔ fossil) intact everywhere. CENSUS-V4 GRADUATES (+ ALL-BUT-101: pred = P − n101, miss = pred − count — the catch-all-with-noise state, derived before it was read): seven states, zero unexplained reads across the twelve-attempt campaign. THE ATLAS stabilizes on two canonical forms off the exotic four (8 · 32 · 1280 · 3584); THE SPIKES localize to 2048 = 2¹¹ and 3072 = 3·2¹⁰ (the digit-boundary flag — flags never seal). RIX-A13’s hypotheses recorded on the close.
1c268d2 · the boundary attempt)THE BOUNDARY LAW KILLED BY THE REPRESENTATIVE: E1-g4’s off cells all simple (the 2¹⁰ confinement held for gen-4, 7/7) but E1-g3 landed rich forms at three off-boundary sources (4608: all-but-111 · 6656: {000, 010, 100} · 7680: {000, 001, 010}) — a generation property, not a family law. THE WATCHED CELL DELIVERED: E1-g4@4096 = 8⁴ (the base-8 digit-count boundary) lands all-but-111, then ∅ everywhere above — the gen-4 ERA-LAW candidate (richness confined to the 2¹⁰-multiples of the 4-digit base-8 era). FOUR new policy forms in one attempt (all-but-111 at BOTH carriers; its prime-ground face derives to ALL-FIRE — the read grammar stands at seven states). THE EXOTIC FOUR CONFIRMED ISOLATED (1216/1344/3520/3648 all canonical — the unified spike picture). THE FOSSIL LAW DECLARED: the 49-cell gate held (49/49) and the promotion fired — bit-'110' ⇔ ¬admit is now standing grammar on every future D read (a kill refutes the lock, never the a-priori). RIX-A14’s hypotheses recorded on the close.
ab48b0d · the era attempt)The split verdict. THE ERA LAW HELD — 10/10: 512 lands {000} (the era’s opening edge is not rich), 9216–16384 all ∅, and THE FORK CELL 32768 = 100000₈ lands {000} — the boundary-periodic alternative is DEAD: the 4096 richness belongs to the 4-digit era’s closing boundary specifically. The gen-4 story is CLOSED as measured: rich at exactly the four 2¹⁰-multiples of [1024, 4096] across thirty-two measured sources spanning 512–32768. THE GRID LAW KILLED: three odd-2⁸ cells rich (4352 · 4864 · 7424 — the latter {000, 001, 110}, the first fossil-bit-carrying E1 form), ALL in the fifth era while the 4-digit era held the 2⁹ resolution — THE ERA-GRID REFINEMENT (era-dependent grid resolution). THE MAP DETONATED UPWARD: 8704 and 9216 both land all-but-111 — gen-3 richness continues up the 2⁹-grid beyond 8192 in the strongest form yet. Gen-4 bounded, gen-3 growing: the two carriers tell opposite stories. RIX-A15’s hypotheses recorded on the close.
574694e · the resolution attempt)THE RESOLUTION LAW COMPREHENSIVELY KILLED — 12 of 16 odd-2⁷ cells RICH (only four simple): the fifth era’s gen-3 richness runs to at least the 2⁷-grid and is DENSER there (12/16) than at the 2⁸ layer above it (3/8) — the era-grid halving refinement is dead; the landscape thickens downward. At least seven distinct forms, including 4224 = {000, 110} — the D family’s exact signature policy at an E1 carrier (the fossil bit’s crossover: the campaign’s first cross-family policy form) and the {000, 100} family (×4). THE UPWARD MAP — BURSTY THEN FADING: live+{011} at 12800/13824, all-but-111 echoing at 13312, then 15872 {000} · 16384 ∅ · 32768 ∅ — gen-3 quiet at the era-6 boundary too: the one place both carriers agree at scale. RIX-A16’s hypotheses recorded on the close.
ba4844e · the floor attempt)OPEN-EDGE by one cell, and the miss is the measurement. THE THICKENING LAW died at 23 of 32 (71.9%) against the declared threshold 24 (the 2⁷ layer’s 75% carried down): the density inversion STOPPED — neither fractal-dense downward nor a floor; the landscape PLATEAUS at roughly three-quarters through two fine layers (12/16, then 23/32). THE FADE LAW HELD 3/3 — its first sealed win: 20480/24576/28672 all ∅, the deep fifth era quiet, the fade boundary in (15232, 15360]. The forms keep exploding: four more all-but-111s; 4672 = {010, 101} — the first live policy WITHOUT the '000' bit; the {000, 110} crossover map grows from two members to seven. Three near-identical density readings at three scales point the campaign at THE FORM GRAMMAR — the atlas as the object. The anchor A1..A15 stands WITNESSED on mldata. RIX-A17’s hypotheses recorded on the close.
9956e0c · the atlas attempt)Killed on BOTH legs, each by the narrowest margin. THE DECAY: rich 20 of 32 (62.5%), one below the band [21, 27] — the density by scale runs 75% → 71.9% → 62.5%: a slow decay, not a plateau. THE FORM CLOSURE killed by ONE cell — 6048 = {001}, a PURE LAG-1 SELECTOR policy: E5’s signature inside E1, the second cross-family form (after the D signature {000, 110} at 4224) — the 001 ⇒ 000 implication dies at the same cell and the '000'-free family grows to two. The form census stands at FIFTEEN realized live-sets over 132 measured cells; a new full form 5024 = live-5 + {110}; four more all-but-111s. THE EDGE OVERTURNED: 15296 and 15328 RICH — the last rich cell moves to 15328; the fade boundary in (15328, 15360]. The last four verdicts each landed within one cell of their declared lines — the sealed laws now track the landscape at its natural precision limit. RIX-A18’s hypotheses recorded on the close.
b369e2f · the decay attempt)THE DECAY STOPPED — BY EXACT REPETITION: rich 20 of 32 (62.5%) AGAIN, one ABOVE the declared band [14, 19] — the fifth consecutive one-cell landing. The density by scale runs 75% → 71.9% → 62.5% → 62.5%: the landscape is a STAIRCASE — a step down, then A FLOOR AT 5/8, the count repeating exactly at two successive transects. BOTH ISOLATION EXPECTATIONS KILLED: 6064 = {001}, a second pure lag-1 selector adjacent to 6048 — THE {001} DOMAIN, E5’s signature holding an interval inside E1 (the first policy signature with a measured basin); the D signature extends LEFT at 4208 (4240 empty — asymmetric). The sixteenth live-set 5520 = {000, 010, 101} joins the atlas with the standing implication (101 ⇒ 010) intact; the crossover census reaches FOURTEEN. THE BISECTION LANDS EMPTY: 15344 = ∅ — the fade boundary measured to the 2⁴-grid’s floor, (15328, 15344]; THE EDGE HELD for the first time. RIX-A19’s hypotheses recorded on the close.
c0b7116 · the staircase attempt)THE FIRST RESOLVED SINCE A12: THE FLOOR LAW HELD. Rich 18 of 32 — INSIDE the declared band [18, 22], at its lower edge: the sixth consecutive one-cell-margin landing, this one inside the line. The density transects read 23 → 20 → 20 → 18 across three residue classes — the landscape’s density is a staircase with a measured tread near 5/8: the first landscape law to survive its sealed test after six died (five by exactly one cell). THE {001} DOMAIN — SOLID, PURE, EXACTLY BOUNDED: the interior 6056 = {001} (the third pure cell; the block {6048, 6056, 6064} solid at the 2³ step) with both flanks OUT — E5’s signature inside E1 is a sharply-cut pure interval of width 16: it has a shape, not just an extent. THE FIELD: both D interiors carry '110' — and 4232 lands THE ALL-EIGHT, the family’s first '111'-carrying policy (×3 with 4744/5000); the carriage census grows to 21 as declared. ZERO new live-sets — the atlas at SIXTEEN reads closure-clean for the first time since A13. The paper’s §7.1 extends on the RESOLVED. RIX-A20’s hypotheses recorded on the close.
04fa104 · the tread attempt)THE TREAD KILLED — NOT BY THE HINTED TILT, BY COLLAPSE: rich 10 of 32 (31.25%), EIGHT below the band’s floor — the six-attempt one-cell streak ENDS (the first verdict since A13 to miss its line by more than one). The transect series now reads 75% → 71.9% → 62.5% → 62.5% → 56.25% → 31.25% and the picture reorganizes: THE DEPTH GRADIENT — the density is monotone non-increasing in the 2-adic depth of the training length; the “floor” was the gradient’s middle plateau, and below v₂ = 3 the landscape falls off a knee (−25 points). The held FLOOR LAW stands as scoped. The atlas’s two sharp objects both CLOSE: THE ALL-EIGHT is ISOLATED (all six 2²-flanks '111'-free — the register stays {4232, 4744, 5000}) and THE {001} DOMAIN is FINAL (6052 and 6060 both {001}: five pure cells spanning [6048, 6064], solid at the 2² floor — measured-as-final fired as sealed). 4228 = {000, 110} — the second exact D-signature cell, adjacent to the first. ZERO new live-sets — closure-clean ×2: the atlas saturates while the landscape thins. RIX-A21’s hypotheses recorded on the close.
bb427fe · the depth attempt)THE DEPTH LAW KILLED BY THE REBOUND — BY ONE: rich 11 of 32 (34.4%), one above the one-sided band’s 10 — the one-cell landing RETURNS (the seventh one-cell margin in eight attempts). The even half of the transect grammar completes: 75% → 71.9% → 62.5% → 62.5% → 56.25% → 31.25% → 34.4% — the gradient is NOT monotone: THE VALLEY — the density descends to a floor at v₂ = 2 and turns UP at v₂ = 1 (criterion-robust: 11 live-set / 12 full-form, both above the line). Only the odd cells (v₂ = 0) remain; they decide rise or wobble. THE D-BLOCK: SOLID — the interior 4226 = {000, 110}, the THIRD exact D-signature cell: the block [4224, 4228] is solid at the 2¹ step, approached from the left by a '110'-carriage RAMP (4208 five-bit → 4216/4220 both {000, 001, 110}) and bounded right by the all-eight — the fossil bit’s field has texture: exact core, carrying halo. ZERO new live-sets — closure-clean ×3; no fourth '111'; no new pure singleton. RIX-A22’s hypotheses recorded on the close.
113e512 · the valley attempt)THE SECOND HELD LANDSCAPE LAW: THE VALLEY CONFIRMED. Rich 14 of 32 (43.75%) — INSIDE the one-sided band [11, 32], THREE above the line: the far wall RISES (10 → 11 → 14 — a climb, not a wobble; criterion-robust). The transect grammar is COMPLETE, wall-to-wall: 75% → 71.9% → 62.5% → 62.5% → 56.25% → 31.25% → 34.4% → 43.75% (v₂ = 7…0) — the density of rich policies over the fifth era is A VALLEY with its minimum at v₂ = 2, measured at eight matched transects across six residue classes. THE BLOCK FINISHED the same attempt: 4222 = {000, 110} EXACT (the block extends LEFT) · 4225 = {000, 110} EXACT (the odd interior — solid at EVERY resolution) · 4230 = six-bit carriage (the right edge SHARP at 4228): the exact register is five cells spanning [4222, 4228] — the two cross-family anatomies now rhyme completely (solid core, sharp edges, asymmetric halo). A far carriage member appears at 7425. ZERO new live-sets — closure-clean ×4. The paper’s §7.1 extends on the RESOLVED. RIX-A23’s hypotheses recorded on the close.
318764e · the translation attempt)THE ERA-TRANSLATION LAW KILLED UPWARD, BY FIVE: rich 20 of 32 (62.5%) against the declared band [5, 15] — the sixth era does NOT inherit the fifth’s floor: at matched depth (v₂ = 2) it reads the fifth era’s middle-plateau value, twice the floor. The first sixth-era fine cells ever read say the eras are NOT copies — the valley’s VALUE is era-local; whatever profile the sixth era has, it is its own. THE DEFECT: the block completion lands 4221 = {000, 110} EXACT (the left edge extends AGAIN: 4224 → 4222 → 4221) and 4227 EXACT — but 4223 = {000, 001, 100, 110}, a four-bit carrier INSIDE the exact span: the bounded-interval precedent (three-for-three) is KILLED — the block is POROUS at exactly one cell; the right edge FIRM (4229 carriage). [4220, 4230] is measured wall-to-wall: ramp · exact ×2 · DEFECT · exact ×5 · carrier · halo — seven exact cells [4221, 4228]. The two finished anatomies now DIFFER: the {001} domain solid; the block porous. The field census grows to 34 (+11396, the fossil bit’s first sixth-era fine sighting). ZERO new live-sets — closure-clean ×5. RIX-A24’s hypotheses recorded on the close.
c66c0e2 · the richer-era attempt)THE THIRD HELD LANDSCAPE LAW: THE RICHER-ERA LAW HELD. Rich 19 of 32 (59.4%) — INSIDE the one-sided band [14, 32], FIVE above the floor: the sixth era’s odd reading exceeds the fifth’s (14), so the era ordering holds at BOTH measured depths (v₂ = 2: 20 vs 10 · v₂ = 0: 19 vs 14). The eras are ORDERED though not copies: level differs, direction agrees. A shape hint rides free: the sixth era’s two readings sit nearly FLAT (20, 19) where the fifth climbed its valley wall (10 → 14) — the era’s own profile may be flat-and-rich rather than valleyed. The odd transect carries NO carriage members and no '111' (the census stays 34). ZERO new live-sets — closure-clean ×6: the sixteen-form atlas has not grown since A19 across 199 new cells. The leanest attempt of the campaign lands its law clean; the paper’s §7.1 extends on the RESOLVED. RIX-A25’s hypotheses recorded on the close.
65eac53 · the flat-era attempt)THE FLAT-ERA LAW KILLED — THE ERA'S OWN DIP: rich 12 of 32 (37.5%), FIVE below the band’s floor [17, 22]. The sixth era HAS a valley: its three-point profile reads 20 → 12 → 19 (v₂ = 2 / 1 / 0) — the dip at the MIDDLE depth, where the fifth era’s minimum sat at v₂ = 2. The valleys are era-local in place and value — but every measured era HAS one (two eras, two valleys, neither a copy). THE FREE RIDER DELIVERS: the sixth era’s v₂ = 1 reading (12) exceeds the fifth’s (11) — by ONE — so THE RICHER-ERA ORDERING EXTENDS TO ALL THREE MATCHED DEPTHS (20 vs 10 · 12 vs 11 · 19 vs 14): the ordering is the line’s; the valley is the era’s. The carriage census grows to 35 (+11650, the second sixth-era carrier). ZERO new live-sets — closure-clean ×7; no '111'; no new pure singleton. RIX-A26’s hypotheses recorded on the close.
d047b29 · the wall attempt)THE FOURTH HELD LANDSCAPE LAW: THE WALL LAW HELD, decisively. Rich 22 of 32 (68.75%) — INSIDE the one-sided band [13, 32], NINE above the floor. The sixth era’s four-point profile now reads 22 → 20 → 12 → 19 (v₂ = 3/2/1/0): a genuine valley — the deep wall HIGH (the era’s richest reading), the floor at v₂ = 1. THE SECOND VALLEY stands measured — it mirrors the fifth’s IN KIND (descend to a floor, rise on the far wall) while differing in PLACE (the minimum one depth lower) and LEVEL (richer throughout). THE FREE RIDER EXTENDS AGAIN: 22 > 18 — THE RICHER-ERA ORDERING HOLDS AT ALL FOUR MATCHED DEPTHS (22 vs 18 · 20 vs 10 · 12 vs 11 · 19 vs 14): the valley belongs to the era; the enrichment belongs to the line. THE CARRIAGE STRATUM: the v₂ = 3 transect adds FIVE census members (the census 35 → 40; 11016 = {000, 001, 110}, the ramp form deep in era six). ZERO new live-sets — closure-clean ×8. The paper’s §7.1 extends on the RESOLVED. RIX-A27’s hypotheses recorded on the close.
bbc9d3d · the rim attempt)THE RIM LAW KILLED BY ONE: rich 21 of 32 against the one-sided ≥ 22 — the deep side WOBBLES: the sixth era’s five-point profile reads 21 → 22 → 20 → 12 → 19 (v₂ = 4/3/2/1/0), the peak at v₂ = 3 — the rim is the era’s own; no shape carried from the fifth era has survived intact. THE FREE RIDER STILL EXTENDS: 21 > 20 — THE ORDERING HOLDS AT ALL FIVE MATCHED DEPTHS (21 vs 20 · 22 vs 18 · 20 vs 10 · 12 vs 11 · 19 vs 14), the fifth by exactly ONE: the reading landed precisely in the one-cell window where the stake fails and the rider holds. A FOURTH '111' SIGHTING: 9744 = THE ALL-EIGHT — the register’s first member outside the fifth era. THE {001} SELECTOR RECURS IN ERA SIX: 10512 = {001} EXACT · 10896 = {001} EXACT · 10384 live-pure — with 10384 and 10512 CONSECUTIVE transect cells: a possible SECOND DOMAIN, one probe from known. The census 40 → 42. ZERO new live-sets — closure-clean ×9. RIX-A28’s hypotheses recorded on the close.
4edca8c · the crown attempt)THE CROWN KILLED — THE ORDERING'S FIRST FAILURE: rich 19 of 32 against the one-sided [21, 32] — the sixth era at v₂ = 5 reads BELOW the fifth (19 < 20), the campaign’s first sub-fifth matched reading: the ordering that held FIVE for five is DEPTH-BOUNDED — the eras’ profiles CROSS between v₂ = 4 and v₂ = 5 (the sixth descending 21 → 19 where the fifth held flat 20 → 20); the era’s six-point profile 19 → 21 → 22 → 20 → 12 → 19. NO PROMOTION — the gate acted exactly as sealed (five pairs held, the sixth failed): ORDERING_LAW stays PROPOSED, its first failure on the ledger. THE SECOND DOMAIN REFUTED: the interior 10448 = {000, 010, 100} — the era-six {001} cells are THREE ISOLATED SELECTORS, not a domain. THE ALL-EIGHT ISOLATED: 9680/9808 clean — 9744 stands alone, like the trio. Yet A FIFTH '111': 9504 = THE SECOND ALL-EIGHT, read inside the staked transect itself; and THE DEFECT'S FORM RECURS: 10528 = {000, 001, 100, 110}, 4223’s four-bit carrier. The census 42 → 44. ZERO new live-sets — closure-clean ×10. RIX-A29’s hypotheses recorded on the close.
db28556 · the crossover attempt)THE CROSSOVER LAW HELD — THE FIFTH HELD LANDSCAPE LAW, the campaign’s first staked in the POORER direction: rich 19 of 32 inside the one-sided [0, 22], FOUR below the kill line — the sixth era at v₂ = 6 stays BELOW the fifth (19 < 23): the eras’ profiles have genuinely CROSSED — ordered on the shallow depths (five for five), inverted at the deep (two for two), crossing exactly once between v₂ = 4 and v₂ = 5. The era’s profile is COMPLETE at all seven uniform depths: 19 → 19 → 21 → 22 → 20 → 12 → 19 (v₂ = 6..0) — the rim FLAT at 19 where the fifth’s ROSE 20 → 23. The A27 wobble and the A28 failure were the two halves of one measured object: the crossing. THE ALL-EIGHT ERUPTS: THREE new '111' cells in-sample — 9280 · 9408 · 10176, ALL the all-eight form, 9280+9408 CONSECUTIVE — the register 5 → 8, FIVE in era six at three depths; THE FLANKS CLEAN (9440/9568 = {000}): the [9280, 9744] neighborhood POROUS — structure at transect spacing, isolation at ±64. The census 44 → 47. ZERO new live-sets — closure-clean ×11. The ladder’s last rung read; the paper’s §7.1 extended on the RESOLVED. RIX-A30’s hypotheses recorded on the close.
8599d9d · the deep column attempt)THE DEPTH-BAND HELD — THE SIXTH HELD LAW, the first about a FORM FAMILY rather than a density profile, on the campaign’s leanest read (three cells, one law): zero '111' in the deep column — 9344 = {000} · 9472 = abf6 (RICH at v₂ = 8, the deepest cell ever read in era six, yet mark-free) · 9600 = {000, 001, 100}. The all-eight family is DEPTH-BOUNDED at v₂ ∈ [3, 6], TWO-SIDED as measured: absent shallow (v₂ ≤ 2, both eras), absent deep (v₂ ≥ 7), present at every depth between — position does NOT select the all-eight; depth bounds it. The A29 eruption was the family FILLING ITS BAND, not breaking loose. Richness and the mark are separable at depth, exactly as the two-axis grammar requires. NO census additions (the census stays 47). ZERO new live-sets — closure-clean ×12. The paper’s §7.1 extended on the RESOLVED. RIX-A31’s hypotheses recorded on the close.
0f5b835 · the fade transect)THE FADE LAW COMPREHENSIVELY KILLED: the era’s UPPER half entered the record, and SIX of the eight cells above the fade boundary are RICH (15424 · 15552 · 15680 · 15808 · 15936 · 16064; only the era’s final two are quiet — 16192 = {000} · 16320 = ∅). THE FADE IS STRATUM-LOCAL: the boundary (15328, 15344] — measured at fine resolutions near the edge — binds the strata that measured it, NOT the v₂ = 6 stratum, which runs RICH seven hundred cells past it and fades only at the era’s end (the stratum’s own fade bracketed to ONE step: rich 16064 · quiet 16192). A NINTH '111': 13760 = THE ALL-EIGHT — the family’s FIRST UPPER-HALF member, at v₂ = 6, INSIDE the depth band: the family grows in POSITION while its DEPTH law holds (the A30 band survives its first wild test). Carriage ABOVE the fade (15424/15552). The upper half’s first profile point: 13 of 24 vs the lower’s 19 of 32 — poorer, NOT faded. The census 47 → 51. ZERO new live-sets — closure-clean ×13. RIX-A32’s hypotheses recorded on the close.
c946647 · the fade map)THE FADE MAP KILLED — THE FADE DISSOLVES ENTIRELY: FOUR of the eight v₂ = 4 cells above the old line are RICH — 15504 = abf7 (the full seven-form carriage) · 15760 · 15888 · 16016 = abf7 — the boundary’s OWN stratum family ignores the line: no stratum obeys (15328, 15344] beyond the exact cells that measured it; the fade was an artifact of WHERE it was measured — every stratum keeps its own clock. The NEW object: THE ERA-END QUIET — both measured strata go quiet approaching the era boundary (the windows (16016, 16144] at v₂ = 4 · (16064, 16192] at v₂ = 6, the last-rich cells one step apart): the TRUE fade candidate is the era’s END. The ninth '111' ISOLATED: 13696 = {000} fresh (the deep column stays mark-free — the depth band’s second deep test PASSES) + the cited 13824 (abf6, on the record since A15) — the isolation grammar FOUR for FOUR. NO census additions (51). ZERO new live-sets — closure-clean ×14. RIX-A33’s hypotheses recorded on the close.
8039050 · the end-quiet probe)THE END-QUIET KILLED — THE ERA ENDS RICH: FOUR of the six cells rich — 16264 (v₂ = 3) = {000, 001, 010, 100} · 16160 (v₂ = 5) = {000, 001, 010, 101} · 16224 (v₂ = 5) = {000, 010} · 16288 (v₂ = 5) = {000, 001, 010, 101}; only 16136 = ∅ and 16352 = {000} simple. The “quiet zone” was the v₂ = 4/6 strata’s COINCIDENCE: the v₂ = 5 stratum runs rich to within 96 cells of the era gate (16288 — the nearest rich fine cell ever read to a gate), v₂ = 3 to within 120. THE STRATUM-CLOCK LESSON COMPLETES: no mid-era boundary binds across strata — not the fade line, not the end zone; each stratum runs rich to its OWN stop (v₂ = 4 by 16016 · v₂ = 6 by 16064 · v₂ = 5 bracketed to ONE BLOCK (16288, 16352] · v₂ = 3 open in (16264, 16384)). The era gate 2¹⁴ = the one cross-stratum boundary candidate left standing. NO '110', NO '111'; the census stays 51. ZERO new live-sets — closure-clean ×15. RIX-A34’s hypotheses recorded on the close.
b7f18d9 · the gate crossing)THE GATE LAW KILLED — THE SEVENTH ERA OPENS LIVE: THREE of the six opening cells rich — 16520 (v₂ = 3) = {000, 001, 010, 011} · 16544 (v₂ = 5) = {000, 001, 010, 100} · 16608 (v₂ = 5) = {000, 001, 011}; 16392 = ∅ · 16416 = {000} · 16480 = ∅ simple. Richness CROSSES 2¹⁴ — THE DISSOLUTION IS TOTAL: no boundary at all survives the campaign’s tests; only strata and their clocks. Yet the era OPENS QUIET at its first cells — THE QUIET STRADDLE: the gate sits inside a measured quiet band (16288, 16520) — rich at 16288, quiet across 16352/16392/16416/16480, rich again at 16520: the era gate is a VALLEY, not a wall. THE ERA-OPENING QUIET-START is now a TWO-ERA pattern (8208/8224/8256 · 16392/16416/16480). NO '110', NO '111'; the census stays 51. ZERO new live-sets — closure-clean ×16. RIX-A35’s hypotheses recorded on the close.
2fadde3 · the straddle probe)THE STRADDLE KILLED — POROUS: TWO of the seven final-block v₂ = 3 cells RICH — 16280 = {000, 001, 010} · 16344 = {000, 001, 010} (16296/16376 = ∅; 16312/16328/16360 = {000}). The v₂ = 3 stratum stays rich immediately past 16264 AND at 16344 — 40 cells from the gate, the nearest rich cell to any era gate ever read (beating 16288’s 96). 16344 sits INSIDE the “quiet band” (16288, 16520): the straddle DISSOLVES as an interval — the band was the measured depths’ LATTICE COINCIDENCE, the third such lesson (the end-quiet · the fade · the straddle). THE INTERMITTENT TAIL: rich · quiet-run · rich · quiet-run — strata do not run-to-stop; they INTERMIT. The v₂ = 3 stop bracketed to (16344, 16360]. NO '110', NO '111'; the census stays 51. ZERO new live-sets — closure-clean ×17. RIX-A36’s hypotheses recorded on the close (the operator returns to plan mode).
All four attempts’ datasets — six probe rows + the attempt-close row each (hypotheses · verdicts · the failure anatomy · the recorded next hypotheses) — published to the immutable EXTERNAL record (mldata CKAN when configured; the dummy-node fallback otherwise), after walls and horizon.