demos / chirp

Gravitational Wave Chirp in 1024 Bits

A cint program evaluates the 3.5 post-Newtonian (3.5PN) gravitational wave inspiral of two compact bodies in 1024-bit checked integers (I1024). The simulation integrates the TaylorT4 ODE down to the innermost stable circular orbit (ISCO) at v = 1/sqrt(6), followed by spliced quasinormal mode (QNM) ringdown. A relativistic consensus tether pulls the twins into phase lock.

Run the demo

chirp.ci Emitted C

shell

$ cint run chirp.ci
chirp receipt: tick=1000 d0=14576398344542445859 d1=16148053973575091900 d2=6304118998254214534
fuel: 1118030
stdout sha256: 71081748c228b849dbee951e09cfbda79a844dae48d116cecbcc73b5f6d3add5

chirp.ci - 3.5PN compact binary inspiral (I1024)

Leader A: Baseline

Twin B: +10^-18 M

Twin C: +2×10^-18 M

-- -- ISCO boundary (r = 6 M)

🔇 Audio Muted

metric quadrupole strain h+(t) · sunken slate oscilloscope

tick 0 · t = 0.00 M · 3.5PN Inspiral

consensus tether pull(k)

0 (off)

◄ Push (-100) 0 (Free) Pull (+100) ►

Secular dispersion Independent Phase lock

The tether applies a relativistic damping torque directly to orbital phase. Above 0, twins lock into phase with Leader A. Below 0, secular dispersion accelerates.

physical presets

acoustic chirp synthesis

Audio status: Muted

Synthesis engine: Web Audio API

relativistic orbit parameters

Separation r: 25.000000 M

Velocity parameter v: 0.200000

Orbital phase Φ: 0.000000 rad

GW frequency f_GW: 0.002546 / M

Metric strain h+: +0.040000

Metric strain h×: 0.000000

consensus & phase divergence

Regime: 3.5PN Inspiral

Twin B offset ΔΦ: 0.000000 rad

Twin C offset ΔΦ: 0.000000 rad

✓ VERIFIED RECEIPT

cint execution receipt

stdout sha256: 71081748c228b849dbee951e09cfbda79a844dae48d116cecbcc73b5f6d3add5 status: value (exit 0) fuel consumed: 1118030 units pinned digests at tick 1000: leader A: 14576398344542445859 twin B: 16148053973575091900 twin C: 6304118998254214534

Evaluated with cint run --receipt and matched in WebAssembly (chirp.wasm).

chirp.ci source

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