The Syπ Model

The complete parametric model. Four numbers from the Fibonacci seed — ρ (position), r (radius), ω (witnesses), v (velocity) — derive π, the golden ratio, fine-structure, gravity, temperature, and 20+ physical constants from pure geometry. SyPi 4.2.1

Position

Radius

Witnesses

Velocity

Δ = ω/ω + v^ω

θ = ω^ω · Δ · v^ω

360

β = θ / v

120

Ω = (ω/v^ω) · Δ^v

222.222...

τ = ω/ω + v^v

S_b

126

R_b

—

R_z

—

R = R_b − R_z

—

Position ρ:

Syπ = 3.1415926843095328

Λ = — — K — °C — Pa G = — — eV — km

Observer Points

A — Event/Source(0, 0)

C — Static Observer(1, 0)

D — Reference Observer—

B — Moving Observer—

P — Intersect(c, Λx, 1)—

O — Intersect(c, Ox, 1)—

Angles

∠ADB—

∠ADB (complement)—

∠ACB—

Ramanujan (O_R)—

Derived Constants

α_θ (Fine Structure angle)—

α (Fine Structure)—

Λ (Lambda)—

β_α—

κ (Kappa)—

λ (Lambda small)—

T_c (°C)—

K (Kelvin)—

P_a (Pressure)—

eV—

km—

The Fine Tuning of the Universe: At ρ = 1, α_θ = 137.033 and Λ = 0.475. As ρ → ±∞, the angles diverge. The model encodes the relationship between position, the fine-structure constant, and geometric structure on the unit circle.