Abstract

This disclosure describes a social coordination system combining a mathematical projection of the Maya Tzolkin calendar (260-day cycle, 20 seals × 13 tones) with a continuous wave-phase interference metric for peer-to-peer social matching in decentralized networks without centralized social graphs.

The Kin computation uses a 52-year modulo lookup mechanism (KIN_MESES monthly offset array + KIN_SUMA 52-year cycle dictionary) rather than standard Julian Day conversions, providing a computationally efficient and offset-correctable mapping from Gregorian dates to Tzolkin Kin numbers.

The resonance metric `k = 1 / (1 + |sin(Δφ)|)` operates on personal phase values φ_i derived from birth ephemeris. Critically, the "optical singularity" state (super-coherence, k ≥ 0.95) is triggered under **two** distinct boundary conditions:

1. `Δφ < ε` — constructive interference (perfect alignment)
2. `|Δφ − π| < ε` — destructive interference (optical vortex / phase opposition)

Both conditions correspond to physically meaningful wave interference states, and both produce k ≥ 0.95. Their combination creates a richer social matching topology than alignment-only systems.

Applications include automated newsletter-based social introductions (KIN.news, KIN.daily), real-time proximity bonding events via local Bluetooth/WiFi beacons, and WoTx2 peer validation without centralized profiling.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

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