Mathvsmyth
Mathematical Sample v1 — The 8000–7000 BP Anchor
The postulate, the reasons it is plausible, and the math behind it — derived from scratch, with no borrowed number left unlabeled. It remains a theory: if it clashes with consensus, that is what the page is for. Let us debate.
The thesis, in one sentence
Author's postulate: "my theory is that this has its maximum at 8000–7000 BP (6050–5050 BCE cal)". This sample derives the mathematical consequences of that anchor: the cycle beat, the exact phase recurrence, the maximum tables — and quantifies the clash with the cited standard, without deciding who is right.
Doctrine of this publication: mathematics is the judge. Everything derived is derived; everything cited is cited. What was found wrong is published in writing.
00 · Prior correction — flaw found in me
In the sealed longyou-v1 set I published "last obliquity maximum ~8700 BCE". That number was not derived from JCEA's model: it was imported from consensus and assumed to belong to his theory. That is building on half-understanding.
This sample corrects the procedure: no borrowed number goes unlabeled here. The sealed package is not touched; it stands recorded as superseded by this sample until a v2.
01 · BP ↔ calendar conversion — derivation
BP counts from 1950. For BCE years: BP = BCE + 1950.
| Reference | Status | Value |
|---|---|---|
| Postulate anchor | [DERIVED] | 8000 BP → 8000 − 1950 = 6050 BCE ✓ (the author's conversion is correct) |
| Postulate anchor | [DERIVED] | 7000 BP → 7000 − 1950 = 5050 BCE ✓ |
| Cited standard | [CITED] | 8700 BCE (obliquity maximum, Berger via literature) → 10,650 BP |
| Sky computed by Aura | [CITED] | 8000 BCE → 9,950 BP |
02 · Derivations — from first principles
Inputs (not derived here; standard Milankovitch-model values): obliquity period T₁ = 41,000 yr; axial precession period T₂ = 26,000 yr (25,772 yr for the shift calculation).
The 41k/26k beat (joint maxima)
Two oscillations peak together when their phases align. The coincidence frequency is |f₁ − f₂|:
|1/41,000 − 1/26,000| = 15,000 / 1,066,000,000 = 1.407129…×10⁻⁵ yr⁻¹
T_beat = 1 / 1.407129…×10⁻⁵ = 71,066.67 yr ≈ 71,067 yr.
Exact phase recurrence (LCM)
41,000 = 41 × 2³ × 5³; 26,000 = 2⁴ × 5³ × 13. GCD = 2³ × 5³ = 1,000.
LCM = 41,000 × 26,000 / 1,000 = 1,066,000 yr.
Postulate-anchored maxima
If the last maximum was 8000–7000 years ago, the maxima fall at:
| Cycle | Period | Previous maximum | Postulated maximum | Next maximum |
|---|---|---|---|---|
| Obliquity | 41,000 yr | 49,000–48,000 BP | 8000–7000 BP | 33,000–34,000 AP |
| Combined (beat) | 71,067 yr | 79,067–78,067 BP | 8000–7000 BP | 63,067–64,067 AP |
Obliquity minima (half period, 20,500 yr): 28,500–27,500 BP and within 12,500–13,500 AP.
"One maximum to the next" window under the postulate: obliquity 49,000–48,000 BP → 8000–7000 BP (≈ 47,050–46,050 BCE → 6050–5050 BCE); combined 79,067–78,067 BP → 8000–7000 BP.
The 8000 BCE sky is not the maximum's sky
Precession rate: 360° / 25,772 yr = 0.0139683°/yr. Δt = 9,950 − 8,000 = 1,950 yr → 27.24°; Δt = 9,950 − 7,000 = 2,950 yr → 41.21°.
The sky computed at 8000 BCE is 27–41° of precession (≈ 2–3 millennia) away from the postulated maximum. It is not the maximum's sky.
03 · The clash, quantified — debate agenda, not refutation
| Position | Status | Last maximum |
|---|---|---|
| Cited standard (Berger, via literature) | [CITED] | 8700 BCE = 10,650 BP (obliquity) |
| JCEA postulate | [DERIVED] | 8000–7000 BP = 6050–5050 BCE |
Δ = 2,650–3,650 years. There is the debate. This sample's math does not decide who is right; it puts the number on the table.
04 · Flaws found — audit
- F1. longyou-v1 (imgs 6–7: "~8700 BCE" and the 50,000–8,000 BCE window): numbers not derived from the model; 8700 BCE contradicts the postulate. Sealed package untouched; superseded by this sample until v2.
- F2. I mapped "maximum point" → standard obliquity maximum with no basis. This sample separates obliquity (41k) from the combined cycle (71,067 yr) with the postulate as the only anchor.
- F3. The 50,000–8,000 BCE window: under the postulate, one obliquity cycle back falls at 49,000–48,000 BP (≈ 47,050–46,050 BCE), not 50,000 BCE. It must be recomputed.
- F4. Aura's 8000 BCE sky uses simplified precession (~1°/century vs the real 1.397°/century) and is 27–41° away from the postulated maximum.
- F5. Pending definition: what exact physical quantity "this" is in the model (obliquity, combined cycle, other?). This sample derives consequences of the postulate without assuming it.
05 · Author's note — sea level — plausibility, not dating
The author notes that sea level at 8000–7000 BP makes his anchor plausible. Verification: at 8000 BP the sea stood ~13–17 m below present and at 7000 BP ~7 m below, rising at 8–10 mm/yr before 8000 BP (Sivan et al., eastern Mediterranean; Bohai, China: −17.19±1.32 m → +1.76±1.32 m between 9000 and 7000 cal BP). The great post-glacial rise (~60 m) ends ~7000 cal BP (Smith et al. 2011, Quaternary Science Reviews).
Observation (not proof): the postulate's young edge (7000 BP) coincides with the end of the early Holocene transgression. The postulated maximum falls within the last phase of a planet with moving coastlines and shifting geography — a different world from today's. This does not date the carvings; it is plausibility context for the epoch.
06 · What settles it
- Independent orbital computation of the Holocene maximum (implement the series and verify against anchors: J2000, 6 ka).
- Physical dating of the carvings (OSL / radiocarbon / microerosion).
- 3D survey of the portal (azimuth, horizon, panel position).
Whoever comes with math is welcome. Whoever comes to knock it down without math — bring your own.
Provenance — Origin Method
Layer 1 · Manifest: the muestra-8000bp-v1 package (document, chart and generator) is sealed with root hash f6c72bb12fd153741ae525b29840bd50cc9bf21746bc6db1fa2b81f9df14dc0d — September 26, 2026, CC BY 4.0.
Layer 3 · Bitcoin seal: pending — the calendars did not respond (0 attestations); said out loud and retried daily. Nothing is claimed sealed that is not.
Layer 4 · Public witness: this page.
07 · Sources
- Berger (1978) — reference orbital solution (obliquity, precession, eccentricity); "8700 BCE" is cited via literature, not derived here.
- Sivan et al. — eastern Mediterranean sea level: −13.5±2 m (model) / −16.5±1 m (archaeological) at 8000 BP; ~−7 m at 7000 BP.
- Smith et al. (2011) — Quaternary Science Reviews: the ~60 m post-glacial rise ends ~7000 cal BP.
- Bohai, China — relative sea level −17.19±1.32 m → +1.76±1.32 m between 9000 and 7000 cal BP; 8–10 mm/yr rate before 8000 BP.
Theory and derivation by Juan Carlos Euyoque Aguilera (JCEA). Sample v1 sealed September 26, 2026. Creative Commons Attribution 4.0 license. Theory under investigation: what is derived is derived, what is cited is cited.