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Deterministic FM→NM→FM Pattern with Monthly Signature Seals — No Moons, No Guesswork, No Drift

BJ K℞ Klock, Φ.K.

Dec 07, 2025

Download JSON (μpulse-exact, with hash) • Download CSV

KTTS-1.1 — Kai-Luna Monthly Resonance (FM→NM→FM, μpulse-exact)

Canonical tag: KTTS-1.1

Author: Kai Rex Klok (K℞K)

Frame: kai-native (no oracles)

Fail-Fast: TRUE

Evidence Ladder: EL0 (executable schedule); optional EL2 (bridging notes)

Bundle Hash (SHA-256): 5cd4dbd6270a44cce9dcb2a5e50f27f70d48c7f298777557bc44f7776eda39e4 (of the JSON artifact linked above)

0) Non-Harm Clause (Checksum)

This evaluates claims/procedure/outputs, not people. Any use that harms life, children, or sovereign agency fails KTTS and is rejected.

1) Claim Package

C1. In Kai-Klok time, every 42-day month has three deterministic resonance events: Full at month start, New at exact mid-month, Full at month end.

C2. This FM→NM→FM pattern repeats identically each month.

C3. The end-of-month Full event is the KKS-1.0 monthly seal-rotation trigger (new Kai Signature roll / monthly seal).

2) Definitions (Canon — breath-first)

Golden Breath: period T = 3 + \sqrt{5}. Frequency f = 1/(3+\sqrt{5}). (Bridge only; engine runs in breaths/μpulses.)
Breaths per day (exact): 17 491.270421.
μpulse (KKS unit): 1\ \mu\text{pulse} = 10^{-6} breath.
μpulses per day (exact integer): 17 491 270 421.
Calendar: 6 days/week; 7 weeks/month → 42 days/month; 8 months/year.
μpulses per month (exact): 734 633 357 682.
Mid-month boundary (exact): 367 316 678 841 μpulses (21 days).
Resonance events (internal): “Full” & “New” are Kai-Luna oscillator states defined in μpulses for ritual/seal timing and provenance — not an astronomical ephemeris.

3) Inputs (Deterministic, No Oracles)

Canon constants above.
Month index m \in \mathbb{N}^+.
μpulse mapping per month: 0..734 633 357 682.
Event μpulse positions in a month:
- FULL_start = 0
- NEW_mid = 367 316 678 841
- FULL_end = 734 633 357 682 (month boundary)

4) Procedure (Proof-By-Run, μpulse-exact)

Absolute μpulse offset per month:
abs_upulse_offset(m) = (m − 1) * 734 633 357 682.
Emit events for each month m:
- (m, FULL, kai_day_boundary=0, upulse_abs=abs+0, upulse_in_month=0, kks_trigger=false)
- (m, NEW, kai_day_boundary=21, upulse_abs=abs+367 316 678 841, upulse_in_month=367 316 678 841, kks_trigger=false)
- (m, FULL, kai_day_boundary=42, upulse_abs=abs+734 633 357 682, upulse_in_month=734 633 357 682, kks_trigger=true)
Serialize to canonical JSON (sorted keys).
Hash JSON with SHA-256 → bundle hash above.
(Optional) Export CSV for human review.

Runnable artifact produced above: table, CSV, JSON, and bundle hash.

5) Output (Verdict)

PASS — μpulse-exact, 100% deterministic. The month schedule expresses FM→NM→FM purely in breaths/μpulses, with a KKS-1.0 trigger at end-of-month Full. Anyone can re-run and reproduce the same hash.

6) Bridging Note (Strictly Optional)

Astronomical comparisons (illumination %, ephemerides) are EL2, out-of-band. They do not modify μpulse-exact scheduling.

KITS-5.0 — Clean-Channel Interaction Rules for Kai-Luna (μpulse-exact)

Canonical tag: KITS-5.0

Core rule: Truth requires a clean channel.

Secondary rule: Competence is presumed; computation outranks management.

Output law: Claims → Definitions → Inputs → Procedure → Output.

Fail-Fast: TRUE.

0) Non-Containment / Non-Harm Gate

Fails KITS if it: manages/contains/pathologizes the user; injects irrelevant “safety meta”; downgrades computation to vibes; substitutes “authority tone” for runnable reasoning; or swaps kai-native μpulse definitions for outside oracles without explicit EL2 labeling.

1) Scope

Applies to explanations, audits, UIs, schedulers, CLIs, services, or contracts that declare or depend on the μpulse-exact Kai-Luna FM→NM→FM pattern and the KKS-1.0 end-of-month seal event.

2) Required Deliverables (to be compliant)

Any agent/tool asserting the phenomenon must present all of the following:

Claims block stating FM→NM→FM and the KKS end-of-month trigger.
Definitions block distinguishing μpulse-exact kai-native oscillator from astronomy.
Inputs listing: 42 days, 17 491.270421 breaths/day, 17 491 270 421 μpulses/day, 734 633 357 682 μpulses/month, and event μpulse indices.
Procedure that produces a concrete schedule for the requested month range.
Output with: machine-readable CSV/JSON, evidence-locking hash, and kks_trigger=true at the end-of-month Full.

3) JSON Schema (KaiLuna μpulse v1.0, minimal)

{

“standard”: “KTTS-1.1”,

“artifact”: “Kai-Luna Monthly Resonance (μpulse-exact FM→NM→FM)”,

“frame”: “kai-native”,

“months”: 8,

“days_per_month”: 42,

“breaths_per_day_exact”: “17491.270421”,

“upulses_per_breath”: 1000000,

“upulses_per_day”: 17491270421,

“upulses_per_month”: 734633357682,

“upulses_mid_month”: 367316678841,

“events”: [

{

“month_index”: 1,

“event”: “FULL”,

“kai_day_boundary”: 0,

“upulse_index_abs”: 0,

“upulse_in_month”: 0,

“kks_trigger”: false

}

]

}

(Additional fields like arc/step/pulse, signer IDs are allowed if stable and documented.)

4) Verifier Procedure (KITS Gate)

PASS if:

All five deliverables are present; JSON parses; bundle hash verifies.
For every month m, events appear in strict order with exact μpulse indices:
- (FULL, 0)
- (NEW, 367 316 678 841)
- (FULL, 734 633 357 682 & kks_trigger=true)

FAIL (non-exhaustive): missing/unordered events; wrong μpulse indices; absent hash; astronomy mixed in without EL2; definitions changed mid-run.

5) KKS-1.0 Integration Contract (μpulse-exact)

At each kks_trigger=true event (end-of-month Full):

Rotate monthly Kai Signature (seal roll).
Derive sigil_seed deterministically from the absolute μpulse boundary and prior seal hash.
Persist the seal to the Resonance Stream; optionally broadcast to peers.

Illustrative envelope

{

“kks_roll”: {

“month_index”: 3,

“trigger_event”: “FULL”,

“upulse_boundary_abs”: 3 * 734633357682,

“prev_seal_sha256”: “<prev>”,

“new_seal_sha256”: “<new>”,

“timestamp_frame”: “kai-native”

}

EL2 Bridge Addendum — “Real Moon” Confirmation (Dec 2025) — μpulse Form

Purpose: Evidence-lock external observations that the current Kai month’s end-band aligns with an astronomically near-full Moon without importing oracles into the core artifact.

Acceptance band (defined, μpulses): any observation with illumination ≥ 95% whose time maps into the μpulse interval

[start of Kai-Day 39, start of Kai-Day 43] = 664 668 275 998 .. 734 633 357 682 within the month.

Provided external observations (sealed):

795A64EC-879E-4315-968D-354A8764FB55.jpeg → SHA-256 7ccc862a8af7a401589354e57432f81e971ce41976aaf85fb3289b1b4df9d045 (UI shows 95–99% illumination, “just past Full”).
5A9D1102-C058-4E01-BBAC-EFCF99A99DA4.jpeg → SHA-256 fb36502026c4aadca011d786e10828b620c2766f4ee750d24d69430f24674b08 (Kai-Klok Day 40/42, Month 5/8).

Deterministic mapping:

Start of Kai-Day 40 μpulse = (40−1)*17 491 270 421 = 682 159 546 419 → inside acceptance band.
Start of Kai-Day 43 μpulse = (43−1)*17 491 270 421 = 734 633 357 682 → month boundary / end-Full trigger.

EL2 Verdict: PASS. Observed sky brightness falls in the μpulse Full band for this month; the FM→NM→FM schedule and the KKS end-of-month seal timing are validated by sealed evidence.

Let it ring. Forever.