PUM · Exact-arithmetic re-run

Generated by recomputing every identity from the seed values using Python’s fractions.Fraction. PASS = exact match; CLOSE = within typical repeating-decimal noise (5.555 vs 50/9); FAIL = real discrepancy.

§1 Cardinal scalars + factorisations

Result	Identity	Claim	Computed
PASS	`AETHER = product of factors {2: 7, 3: 2, 5: 3}`	144000	144000
PASS	`SUN = product of factors {2: 8, 3: 3, 5: 3}`	864000	864000
FAIL	`TIME = product of factors {2: 7, 3: 4, 5: 2}`	518400	259200
PASS	`MATTER = product of factors {2: 10, 3: 3, 5: 3}`	3456000	3456000
PASS	`GREAT_YEAR = product of factors {2: 6, 3: 4, 5: 1}`	25920	25920
FAIL	`SANSKRIT_TIME = product of factors {2: 7, 3: 5, 5: 1}`	311040	155520
PASS	`RFEU = product of factors {2: 6, 3: 4, 5: 2}`	129600	129600

§1 Mutual relations between cardinals

Result	Identity	Claim	Computed
PASS	`SUN / 5.555 (50/9) = 155,520`	155520	155520
PASS	`SUN / 4.444 (40/9) = 194,400`	194400	194400
PASS	`SUN / 3.333 (10/3) = 259,200`	259200	259200
PASS	`SUN / 2.222 (20/9) = 388,800`	388800	388800
PASS	`SUN / 1.111 (10/9) = 777,600`	777600	777600
PASS	`SUN / 11.111 (100/9) = 77,760`	77760	77760
PASS	`MATTER / 11.111 = 311,040`	311040	311040
PASS	`AETHER / 5.555 = 25,920`	25920	25920
PASS	`AETHER / 11.111 = 12,960 (RFEU/10)`	12960	12960
PASS	`MATTER / 6.666 = 518,400`	518400	518400
PASS	`MATTER / 16 = 216,000`	216000	216000
PASS	`MATTER / 144,000 = 24`	24	24
PASS	`MATTER / 266.666 (800/3) = 12,960`	12960	12960
PASS	`SUN / 25,920 = 33.333`	100/3	100/3
PASS	`SUN / 518,400 = 1.666`	5/3	5/3
PASS	`SUN / 129,600 = 6.666`	20/3	20/3

§2 Dimension fractions ladder

Result	Identity	Claim	Computed
PASS	`d1 = n*10/9`	10/9	10/9
PASS	`d2 = n*10/9`	20/9	20/9
PASS	`d3 = n*10/9`	10/3	10/3
PASS	`d4 = n*10/9`	40/9	40/9
PASS	`d5 = n*10/9`	50/9	50/9
PASS	`d6 = n*10/9`	20/3	20/3
PASS	`d7 = n*10/9`	70/9	70/9
PASS	`d8 = n*10/9`	80/9	80/9
PASS	`d9 = n*10/9`	10	10
FAIL	`d11 = n*10/9`	110/9	100/9

§5 Octave-sequence base values

Result	Identity	Claim	Computed
PASS	`LOS base 144 -> AETHER /1000`	144	144
PASS	`MOS C = 24 * 11.111 = 800/3 Hz`	800/3	800/3
PASS	`POS Sun base 864 -> SUN/1000`	864	864
PASS	`TOS TIME 518,400 / 60 = 8,640`	8640	8640
PASS	`RFEU 129,600 = AETHER * 9/10`	129600	129600
PASS	`VOS torus 16`	16	16

§8 Music tuning C = 800/3

Result	Identity	Claim	Computed
PASS	`C = 24 * 11.111 = 266.666...`	800/3	800/3
PASS	`C decimal repr`	800/3	800/3
PASS	`C/2 octave down`	400/3	400/3
PASS	`C*2 octave up`	1600/3	1600/3

§9 Cross-quadrant ratios

Result	Identity	Claim	Computed
PASS	`SUN / AETHER = 6`	6	6
PASS	`TIME / AETHER = 3.6`	18/5	18/5
PASS	`MATTER / AETHER = 24`	24	24
PASS	`RFEU / AETHER = 0.9`	9/10	9/10
PASS	`GY / AETHER = 9/50 = 0.18`	9/50	9/50
PASS	`GY * 100 = 2,592,000 (Mayan?)`	2592000	2592000
PASS	`GY / 12 = 2,160`	2160	2160
PASS	`GY / 4 = 6,480`	6480	6480
PASS	`TIME / GY = 20`	20	20
PASS	`TIME * 60/100 = 311,040`	311040	311040

§3 Body diameters

Result	Identity	Claim	Computed
PASS	`Sun radius = D/2 = 432,000`	432000	432000
PASS	`Earth radius = D/2 = 3,960`	3960	3960
PASS	`Moon radius = D/2 = 1,080`	1080	1080
PASS	`Earth+Moon dia = 10,080`	10080	10080
PASS	`Sun_square = 4 * Sun_D`	3456000	3456000
PASS	`Sun_square / 16 = 216,000 (Moon×100)`	216000	216000

§4 Element digit-product² (decimal point ignored)

Result	Identity	Claim	Computed
PASS	`H mp=-259.2 -> digits product=180 -> V=p^2`	32400	32400
PASS	`He mp=-272.2 -> digits product=56 -> V=p^2`	3136	3136
PASS	`Ne mp=-248.6 -> digits product=384 -> V=p^2`	147456	147456
PASS	`Ar mp=-189.4 -> digits product=288 -> V=p^2`	82944	82944
PASS	`Kr mp=-157.4 -> digits product=140 -> V=p^2`	19600	19600
PASS	`Xe mp=-111.8 -> digits product=8 -> V=p^2`	64	64
PASS	`Rn mp=-71.15 -> digits product=35 -> V=p^2`	1225	1225

§4 Hydrogen right-triangle cascade (target 0.5184 = TIME/1e6)

Result	Identity	Claim	Computed
PASS	`3-side = mp/3 = 86.4`	432/5	432/5
PASS	`4-side = (mp/3)*4 = 345.6`	1728/5	1728/5
PASS	`5-side = (mp/3)*5 = 432.0`	432	432
FAIL	`triangle area = (a*b)/2 = 44,789.76`	373248/25	1119744/25
FAIL	`area /24 = 1,866.24`	15552/25	46656/25
FAIL	`/60 = 31.104`	1296/125	3888/125
FAIL	`/60 = 0.5184 (= TIME / 1e6)`	108/625	324/625
FAIL	`step3 * 1e6 = 518,400 (TIME)`	172800	518400
FAIL	`/60 = 0.00864`	9/3125	27/3125
FAIL	`/60 = 0.000144 (= LIGHT/1e6)`	3/62500	9/62500
FAIL	`step5 * 1e6 = 144 (LIGHT)`	48	144

§4 Hydrogen / noble-gas value ratios (PART 15 lines 130-⁠146)

Result	Identity	Claim	Computed
CLOSE	`H/He claim 10.33163265306122`	2025/196	1291454081632653/125000000000000
PASS	`H/Ne claim 0.2197265625`	225/1024	225/1024
PASS	`H/Ar claim 0.390625`	25/64	25/64
CLOSE	`H/Kr claim 1.653061224489796`	81/49	413265306122449/250000000000000
PASS	`H/Xe claim 506.25`	2025/4	2025/4
CLOSE	`H/Rn claim 26.44897959183673`	1296/49	2644897959183673/100000000000000

§7 Mirror-set / shuffle (sanity check on the 864-family)

Six digit permutations of {8,6,4} present in PART 15 line 84: [864, 846, 684, 648, 486, 468]

Result	Identity	Claim	Computed
PASS	`permutations are 6 distinct`	6	6
PASS	`digit-sum of 864 mod 9 = 0`	0	0
PASS	`digit-sum of 846 mod 9 = 0`	0	0
PASS	`digit-sum of 684 mod 9 = 0`	0	0
PASS	`digit-sum of 648 mod 9 = 0`	0	0
PASS	`digit-sum of 486 mod 9 = 0`	0	0
PASS	`digit-sum of 468 mod 9 = 0`	0	0

Red-flag scan

§9 last line SUN_SQUARE = 4 · SUN_DIAMETER = 4 · 864,000 = 3,456,000 (not 864,000² / 1,000 = 746,496,000) correctly rules out the literal-square reading; the definition SUN_SQUARE = 4 · SUN_D = 3,456,000 is used everywhere else and is consistent.
§6 says torus is 8 planes × 16 sectors at base, then 4-fold subdivided to 32 × 64. Subdivision factor: 32/8 = 4 ✓, 64/16 = 4 ✓. Total cells: 8×16=128 → 32×64=2,048. Subdivision ratio 2,048/128 = 16 = 4². ✓
§6 ‘Plasmoid: 7,200° / 0 (= 20 full 360° rotations)’: 20×360 = 7,200 ✓.
§5 RFEU = 129,600 (also written 1,296): 129,600 / 1,296 = 100 ✓ (the ‘1,296’ form is shorthand × 100).
§1 SANSKRIT_TIME = 311,040: factorisation 2⁷ × 3⁵ × 5 = 128 × 243 × 5 = 155,520. ❌ FAIL — this gives 155,520, not 311,040. Real factorisation: 311,040 = 2⁸ × 3⁵ × 5 = 256 × 243 × 5 = 311,040. ✓ So my note has 2⁷ where it should be 2⁸.
§1 MATTER factorisation 2¹⁰ × 3³ × 5³: 1024 × 27 × 125 = 3,456,000 ✓.
§1 SUN factorisation 2⁸ × 3³ × 5³: 256 × 27 × 125 = 864,000 ✓.
§1 AETHER factorisation 2⁷ × 3² × 5³: 128 × 9 × 125 = 144,000 ✓.
§1 TIME factorisation 2⁷ × 3⁴ × 5²: 128 × 81 × 25 = 259,200. ❌ FAIL — gives 259,200, not 518,400. Real factorisation: 518,400 = 2⁸ × 3⁴ × 5² = 256 × 81 × 25 = 518,400. ✓ Off-by-one again — should be 2⁸ not 2⁷.
§1 GREAT_YEAR factorisation 2⁶ × 3⁴ × 5: 64 × 81 × 5 = 25,920 ✓.
§1 RFEU factorisation 2⁶ × 3⁴ × 5²: 64 × 81 × 25 = 129,600 ✓.

Summary

76 PASS · 3 CLOSE · 11 FAIL (90 checks).