Time Dilation Simulation

What is time dilation?

Time is relative, and does not pass at the same rate for everyone.

The faster you move through space, or the deeper you approach to high gravity, the slower your clock ticks compared to elsewhere. 

You travel in time. And your clocks physically run slower.

SPECIAL RELATIVITY

The faster you move, the slower time passes for you compared to Earth. This stretching is measured by γ (gamma).

        γ = 1 / √(1 − v²/c²)

•   v  ->  your speed
•   c  ->  speed of light
•   γ  -> how much slower your clock ticks

Notice: acceleration becomes exponentially harder as you approach c. This is not a game mechanic. It is physics. The energy required to accelerate one kilogram to light speed is infinite.

The graph below demonstrates the exponential growth in lorentz factor as the object reaches closer and closer to the speed of light. 

at 50% of the speed of light, the gamma rate is only 1.15, 

at 99% the speed of light, 7.09, 

and 99.9%, lorentz factor reaches as high as 22.36.

https://thecuriousastronomer.wordpress.com/2013/03/10/derivation-of-the-lorentz-...

GENERAL RELATIVITY

The deeper you approach high gravity, the slower time passes for you compared to open space.

        γ = 1 / √(1 − 2GM/rc²)

•   G  ->  gravitational constant
•   M  ->  mass of the body
•   r  ->  your distance from its center
•   c  ->  speed of light
•   γ  ->  how much your clock slows

1. Near a planet  -> negligible. Seconds per lifetime. Earth actually has relativistic effects! and it's 0.022s per year compared to deep space. In your 80 year lifetime, you would age 1.75s less than you would in deep space.
2. Near a star  -> measurable. Minutes per year. Because our Sun has higher gravity, it warps more spacetime, a clock on the surface would lose 66.4s seconds every year compared to deep space.
3. Near a neutron star  -> severe. Hours per day.
4. Near a black hole  -> extreme. Time nearly stops as you approach the boundary, the event horizon.

CONTROLS

• W / Up Arrow        Accelerate
• S / Down Arrow      Decelerate
• Left Shift          Boost (3×)
• Space               Warp Drive (hold for 3s countdown)
• Fast Forward        Skip to destination, clocks advance
• Reset               Return to start, all time cleared
• Enter Singularity   Available at black hole destinations only
• Camera rotates freely. Click UI elements with crosshair.

"Real science can be far stranger than science fiction, and much more satisfying." - Stephen Hawking.

"Time travel used to be thought of as just science fiction, but Einstein's general theory of relativity allows for the possibility that we could warp space-time so much that you could go off in a rocket and return before you set out." - Stephen Hawking