Do some calcs at various percentages of the speed of light, and you can work out how much time dilation occurs. Thus how much time would pass for the traveller covering 24 billion light years etc.
As an example, at 99.99999999% speed of light it would take a little under 5 years. But at 99.999999999% speed of light, it would take a little under 6 months etc. At the actual speed of light it would be instantaneous, for example a photon experiences all points along its path simultaneously.
The time dilation formula is:
Δt=γΔt0
In this equation:
- Δt is the dilated time, the time measured by the outside observer (the one who sees the object moving).
- Δt0 is the proper time, the time measured by the traveler themselves (the observer in the moving frame). Proper time is the shortest possible time interval between two events.
- γ is the Lorentz factor, which is always greater than or equal to 1.
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