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Special Relativity: why time ticks slower when you move

The Special Theory of Relativity is a physics theory describing the relationship between space and time for objects moving at constant speeds. It proves that time does not tick at the same rate for everyone, because moving clocks run slower than stationary ones. It also establishes that the speed of light in a vacuum is the absolute speed limit of the universe.

By the edgi team We find the most surprising true thing about an idea and build a 60-second lesson around it.

Special Theory of Relativity lesson Play the 60-second lessonLight passes you at the same speed however fast you move, so time itself has to stretch.

The speed limit

Imagine you are on a train going 50 mph and throw a ball at 10 mph. To a person on the ground, the ball moves at 60 mph. Light does not work that way. Whether you are standing still or moving at near-light speeds, light always passes you at the exact same speed.

A diagram illustrating two cars moving at different but constant velocities, observed from two inertial frames of reference. Frame S, attached to the road, shows car 1 moving with velocity v1 and car 2 with velocity v2, while frame S', attached to car 1, shows car 1 as stationary and car 2 moving relative to it.
A diagram illustrating two cars moving at different but constant velocities, observed from two inertial frames of reference. Brews ohare, CC BY-SA 3.0, via Wikimedia Commons

Einstein realized that to keep that speed constant, something else had to give. That something was time itself.

The time warp

As you move faster through space, you move slower through time. This is called time dilation. It sounds like science fiction, but it is a measurable, daily reality.

Diagram illustrating a light-clock thought experiment to explain time dilation, labeled as Figure 4–3. A light pulse travels vertically between two mirrors, with its path labeled 'c' and the distance 'L'. Two scenarios, A and B, show the clock in different states.
Diagram illustrating a light-clock thought experiment to explain time dilation, labeled as Figure 4–3. Prokaryotic Caspase Homolog, CC BY-SA 4.0, via Wikimedia Commons

Astronauts on the International Space Station return to Earth about 0.005 seconds younger than they would have been if they had stayed on the ground.

The gps proof

GPS satellites orbit the Earth at high speeds. Because of their velocity, their onboard atomic clocks tick at a different rate than clocks on the ground. If engineers did not use Einstein's equations to correct for this time drift, the GPS on your phone would drift by miles every single day.

Every time you use a map app, you are using a pocket-sized calculator that proves special relativity is real.

A hand holds a Garmin GPS 72 device displaying coordinates N 00°00'00.0" W 078°10'29.2", indicating the equator, with an orange monument in the background. The GPS screen also shows Altitude 2753 m, Speed 6.9 km/h, and "Localizacion GPS 3D".
A hand holds a Garmin GPS 72 device displaying coordinates N 00°00'00.0" W 078°10'29.2", indicating the equator, with an orange monument in the background. Cristocobo, CC BY-SA 3.0, via Wikimedia Commons

The two rules behind the theory

Albert Einstein built the entire theory in 1905 using only two starting rules, called postulates. The first rule is the principle of relativity, originally formulated by Galileo Galilei in 1632. It states that the laws of physics are identical in all inertial reference frames, which are viewpoints moving at constant velocity without accelerating.

Diagram showing two frames of reference in relative motion, with an unprimed system (x, y, z) and a primed system (x', y', z'). The primed system is moving with a constant velocity v along the x-axis relative to the unprimed system.
Two reference frames moving relative to each other along the horizontal axis illustrate how different observers measure physical events. Krea, CC BY-SA 3.0, via Wikimedia Commons

The second rule states that the speed of light in a vacuum is always the same for all observers, regardless of how fast the light source or the observer is moving. If a train speeds toward a station, a light beam fired from the train travels past a person standing on the platform at the exact same speed as a light beam fired from the station itself. Because light speed cannot change to accommodate motion, space and time must change instead.

What happens at relativistic speeds

Speeds close to the speed of light are known as relativistic speeds, and they produce strange physical changes. One effect is length contraction, where the distance between two points shrinks from the perspective of an observer in motion. Another is the relativity of simultaneity: two events that occur at the exact same instant for one observer happen at different times according to a moving observer.

An animated spacetime diagram illustrating the relativity of simultaneity, labeled as Figure 4–1. Events A, B, and C are shown on a grid with a green ct-axis and x-axis, and white lines representing lines of simultaneity shift as the reference frame velocity (v) changes from 0 to 0.3c and -0.5c.
The sequence of three distinct events changes order when observed from reference frames traveling at different speeds. User:Acdx, CC BY-SA 4.0, via Wikimedia Commons

Special relativity also replaces standard Euclidean geometry with Lorentzian geometry. In this framework, space and time combine into intervals where velocities no longer add up by simple addition. When combined with other physical laws, these principles produce the formula E = mc², demonstrating that mass and energy are equivalent.

Test yourself

In special relativity, why can observers measure the same light speed?

Their measurements of space and time adjust. Light's speed is the same for observers in relative motion, so measurements of space and time differ rather than light speeds adding like a thrown ball's.

For special relativity, what must GPS account for as satellites move quickly?

Velocity-related clock-rate differences. Relative to Earth, fast-moving satellite clocks tick at a different rate. GPS corrects for that drift so location calculations stay accurate.

For special relativity, what must GPS account for as satellites move quickly?

Velocity-related clock-rate differences. Relative to Earth, fast-moving satellite clocks tick at a different rate. GPS corrects for that drift so location calculations stay accurate.

Collectible card

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Questions people ask

What is the difference between special relativity and general relativity?

Special relativity only applies to observers moving at constant speeds in inertial frames without acceleration. In 1916, Einstein expanded the theory into general relativity to include acceleration and the effects of gravity.

Why do visual observations of fast objects cause confusion?

Information about distant objects cannot travel faster than the speed of light. Because of this speed limit, visual sightings always record events that happened in the past rather than what is happening at the present instant.

Part of the Set · 7 cards

Why GPS Needs Einstein

Your phone's blue dot only works because engineers correct for time itself bending. GPS is a daily test of Einstein.

  1. Global Positioning System
  2. Atomic Clock
  3. Speed of Light
  4. Special Theory of RelativityReading now
  5. Time Dilation
  6. General Relativity
  7. Gravitational time dilation
Learn the whole Set

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