Abstract
This disclosure describes a method for computing a deterministic personal phase value φ_i from birth data (date, time, geographic coordinates) without storing biometric information centrally.
Formula: φ_i = fmod(T_birth_UTC, T_year) / T_year × 2π + (lon_birth / 360) × T_day + Δφ_pentagon
Where T_year = 365.25636 × 86400 s (sidereal year), T_day = 86400 s, and Δφ_pentagon is an offset derived from the nearest pentagonal node of a Goldberg polyhedron GP(n,m) tessellation of the Earth (12 nodes at icosahedral symmetry axes).
A pairwise resonance metric k = 1 / (1 + |sin(φ_i − φ_j)|) measures harmonic alignment between two individuals, k ∈ [0.5, 1.0]. Values k ≥ 0.95 define a constructive interference zone (optical singularity).
Applications: (1) proximity-based social matching in decentralized NOSTR peer-to-peer networks, (2) deterministic cryptographic key seeding — same birth inputs always yield the same φ_i, enabling key reproducibility without central storage, (3) geographic anchor points via Goldberg pentagon framework for hexagonal cell addressing tied to orbital mechanics.
Combined with Shamir Secret Sharing (2-of-3 threshold), this enables cryptographic key recovery without biometric hardware or central databases.
Prior art: Goldberg polyhedra (Goldberg, 1937), sidereal orbital mechanics (standard astronomy). No prior combination for social resonance computation or cryptographic key derivation is known to the authors.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
RENAULT, Frédéric, "Deterministic Personal Phase Computation from Birth Ephemeris Data for Social Resonance Matching", Technical Disclosure Commons, (June 03, 2026)
https://www.tdcommons.org/dpubs_series/10326