Antimatter Relativity Tool
Combine antimatter and special relativity. See how energy, mass, and time change for a relativistic antimatter beam.
Beam Parameters
grams
Lorentz factor (γ)
1.155
Time dilation
1.155×
Energy Breakdown
Rest annihilation energy179.75 TJ
Relativistic total energy (γmc²)207.56 TJ
Kinetic energy ((γ−1)mc²)13.90 TJ
Energy boost from motion15.47%
At β = 0.5000, one second on a co-moving antimatter beam corresponds to 1.155 seconds for a stationary observer. The beam's annihilation collision releases γ² times more energy in the lab frame than at rest because both beams arrive at speed v.
Antimatter at Relativistic Speeds
When antimatter is accelerated to a fraction of light speed, special relativity boosts both its kinetic energy and (in the lab frame) the effective annihilation energy of a head-on collision. The key equations are:
- Lorentz factor: γ = 1 / √(1 − β²)
- Total energy: E = γmc²
- Kinetic energy: KE = (γ − 1)mc²
- Time dilation: Δtobs = γ · Δtproper
- Annihilation in lab frame (head-on): ~γ² × rest annihilation energy
This is why colliders accelerate matter and antimatter beams to opposite directions — to maximize the centre-of-mass collision energy.