"Time Dilation Explained: Why Moving Clocks Tick Slower"

What is Time Dilation? Time dilation is one of the most mind-bending predictions of Einstein's Special Relativity. It states that time passes slower for a moving object compared to one at rest — and the closer you get to the speed of light, the more extreme the effect becomes.
What the video shows:
1.
The Formula: t' = t / √(1 − v²/c²) — this is the Lorentz transformation. As velocity (v) approaches light speed (c), the denominator shrinks toward zero, and time (t') stretches toward infinity.
2.
Two Clocks:

Earth Clock (green): Ticks at normal speed — this is "proper time" for the stationary observer.

Ship Clock (magenta): Ticks visibly slower as the ship accelerates. By the end, it lags far behind.
3.
The Journey: The spaceship starts from Earth and accelerates smoothly to 98% of light speed. Its position on the track, engine trail, and star streaks all show the increasing velocity.
4.
Real-Time Stats:

Velocity: Rises from 0% to ~98% of c

Gamma (γ): The dilation factor. At γ = 5, time runs 5× slower on the ship.

Time Difference: The growing gap between Earth time and ship time.
5.
Twin Paradox: Twin A stays on Earth and ages normally. Twin B travels on the ship and ages slower. By the end, the age gap is 16 years — Twin B is now 16 years younger than Twin A, even though they were born at the same time.
6.
Length Contraction: The ship doesn't just experience time dilation — it also gets physically shorter in the direction of motion. A 400-meter ship shrinks to just ~80 meters at 98% of c.
7.
Why not 100%? As the ship approaches light speed, gamma approaches infinity. Reaching exactly 100% would require infinite energy — making it physically impossible.

Видео "Time Dilation Explained: Why Moving Clocks Tick Slower" канала Dig It Up