# What is the formula of length contraction and time dilation?

## What is the formula of length contraction and time dilation?

Substituting for γ gives an equation relating the distances measured by different observers. Length contraction L is the shortening of the measured length of an object moving relative to the observer’s frame. L=L0√1−v2c2.

Is time dilation caused by length contraction?

To be clear, time dilation does not cause length contraction. They are linked effects as a result of, as explained by @Chris, the nature of the invariant interval in space-time in SR – i.e. that that value involves both spatial dimensions and time in a particular way.

### How fast can you experience time dilation?

30,000 km/sec

At speeds of less than 10% of the speed of light (0.1c or 30,000 km/sec) time dilation is miniscule, but from 99% speed of light up it increases asymptotically towards infinite.

Is dilated time longer or shorter?

A clock in a moving frame will be seen to be running slow, or “dilated” according to the Lorentz transformation. The time will always be shortest as measured in its rest frame.

#### What is the difference between length contraction and time dilation?

What is the difference between Time Dilation and Length Contraction? Time dilation is an expansion of time measured from the moving frame, but the length contraction is a contraction of the length. The term γ connects linearly to the time formula but connects inversely to the length formula.

What is length contraction physics?

A phenomenon in which the length of a moving object is measured to be shorter than its proper length is known as length contraction.

## How does length dilation work?

Length Contraction and Time Dilation | Special Relativity Ch. 5 – YouTube

Do photons experience time?

From the perspective of a photon, there is no such thing as time. It’s emitted, and might exist for hundreds of trillions of years, but for the photon, there’s zero time elapsed between when it’s emitted and when it’s absorbed again. It doesn’t experience distance either.

### How slow do you age at the speed of light?

The simple answer is, anything moving through space at c, equal to the speed of light in a vacuum, experiences zero time flow. If you were to travel at the speed of light, you would experience no time.

Is an hour in space 7 years on Earth?

The first planet they land on is close to a supermassive black hole, dubbed Gargantuan, whose gravitational pull causes massive waves on the planet that toss their spacecraft about. Its proximity to the black hole also causes an extreme time dilation, where one hour on the distant planet equals 7 years on Earth.

#### Do you age slower in space?

Scientists have recently observed for the first time that, on an epigenetic level, astronauts age more slowly during long-term simulated space travel than they would have if their feet had been planted on Planet Earth.

How do you explain time dilation?

Time dilation is the slowing of the passage of time at high speeds. The faster the object moves, the greater the amount of time dilation. Time dilation, in part, accounts for the constant speed of light, regardless of the light’s source and regardless of the observer’s perspective.

## What is time dilation in modern physics?

time dilation, in the theory of special relativity, the “slowing down” of a clock as determined by an observer who is in relative motion with respect to that clock.

What is relativity of length?

The principle of relativity (according to which the laws of nature are invariant across inertial reference frames) requires that length contraction is symmetrical: If a rod rests in inertial frame S, it has its proper length in S and its length is contracted in S’.

### Does time stop at the speed of light?

The simple answer is, “Yes, it is possible to stop time. All you need to do is travel at light speed.”

Is light infinite?

Nope! Light is a self-perpetuating electromagnetic wave; the strength of the wave can get weaker with the distance it travels, but as long as nothing absorbs it, it will keep on propagating forever.

#### Why time stops at speed of light?

In the limit that its speed approaches the speed of light in vacuum, its space shortens completely down to zero width and its time slows down to a dead stop.

Do you actually age slower in space?

## Can we travel at 99 the speed of light?

As far as we know, nothing can travel faster than this. But across the universe, particles are often accelerated to 99.99 percent the speed of light.

Do people age faster in space?

### Do bodies decay in space?

In space we can assume that there would be no external organisms such as insects and fungi to break down the body, but we still carry plenty of bacteria with us. Left unchecked, these would rapidly multiply and cause putrefaction of a corpse on board the shuttle or the ISS.

What does space smell like?

sweet-smelling welding fumes’, ‘burning metal’, ‘a distinct odour of ozone, an acrid smell’, ‘walnuts and brake pads’, ‘gunpowder’ and even ‘burnt almond cookie’. Some astronauts have likened the smells of space to walnuts.

#### Do you age in a coma?

People do age while in a coma although some people have argued that such people age at a slower rate.

Is time an illusion?

According to theoretical physicist Carlo Rovelli, time is an illusion: our naive perception of its flow doesn’t correspond to physical reality. Indeed, as Rovelli argues in The Order of Time, much more is illusory, including Isaac Newton’s picture of a universally ticking clock.

## Is length contraction possible?

Yes, length contraction occurs – and can be detected by careful measurement. But if you try to observe length contraction, you can’t because your view of it is compensated for by the finite speed of light.

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