Graviton

Gravitational wave pattern generator in Go.

Physics

Gravitational Wave Strain

The gravitational wave strain amplitude from a binary inspiral:

$$h(t) = \frac{4\pi^2 G}{c^4} \mathcal{M}_c f^{5/3} \cos(2\pi f t - \phi)$$

Where:

• $G$ = Gravitational constant ($6.67430 \times 10^{-11}$ m³ kg⁻¹ s⁻²)
• $c$ = Speed of light ($2.9979 \times 10^8$ m/s)
• $\mathcal{M}_c$ = Chirp mass
• $f$ = Gravitational wave frequency
• $\phi$ = Phase at coalescence

Chirp Mass

$$\mathcal{M}_c = \frac{(m_1 m_2)^{3/5}}{(m_1 + m_2)^{1/5}}$$

Polarization Modes

Gravitational waves have two independent polarization states:

$$h_+ = h(t) \cdot \frac{1 + \cos\iota}{2}$$ $$h_\times = h(t) \cdot \sin\iota$$

Where $\iota$ is the inclination angle of the binary plane.

Usage

go run main.go
go run main.go -m1 10 -m2 10 -d 200 -i 30 -t 15

Parameters

Flag	Default	Description
-m1	30	Mass of first body (solar masses)
-m2	30	Mass of second body (solar masses)
-d	400	Distance (Mpc)
-i	0	Inclination angle (degrees)
-t	10	Duration (seconds)
-fps	10	Frames per second

Output

ASCII visualization of gravitational wave strain over time, simulating LIGO detection of a binary black hole merger with:

• Plus (+) polarization mode
• Cross (×) polarization mode
• Chirp mass calculation
• Inspiral frequency evolution
• Phase indicator (inspiral/merger/ringdown)

References

• LIGO Scientific Collaboration
• Einstein Field Equations: $G_{\mu\nu} = \frac{8\pi G}{c^4} T_{\mu\nu}$
• Quadrupole approximation for GW emission

License

MIT