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Rigorous Science

What will it cost me to travel through Time? (Part 1: Travelling forwards in Time - Time Dilation)

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There are many questions on Worldbuilding about what item(s) a time traveller should take back in time in order to alter past events or even simply to survive.

There has never as far as I know been any mention of the amount of energy needed for time travel or any explanation of the size or quantity of items that can be taken with the traveller.

According to General Relativity, time-travel is possible in the sense that a traveller through space can age slower than someone who stays at home. (Edit - As pointed out by @Spencer this is called time-dilation)

However

We could travel 10,000 years into the future and age only 1 year during that journey. However, such a trip would consume an extraordinary amount of energy. https://spaceplace.nasa.gov/review/dr-marc-space/time-travel.html

Question

Suppose I want to age 1 year to my stay-at-home friends' 10 years: are there enough resources on Earth to send even one person on such a trip?

What is the energy required for the trip with respect to the mass of the spacecraft for the subjective 1 year trip?

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This post was sourced from https://worldbuilding.stackexchange.com/q/138871. It is licensed under CC BY-SA 4.0.

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