Your 1000-m- long starship has warning lights at each end...

Your $1000-\mathrm{m}-$ long starship has warning lights at each end that, to you, flash simultaneously every minute. You are moving directly away from the planet Zerkon at $0.70 c .$ To a Zerkonian, do the lights flash simultaneously? If not, which flashes first the light at the front of your ship or the trailing one?

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Key Concepts

Inertial Frames

In physics, inertial frames are reference frames in which an object either remains at rest or moves at a constant velocity unless acted upon by a force. Different observers moving relative to each other occupy different inertial frames, and events seen as simultaneous in one frame may not be simultaneous in another.

Relativity of Simultaneity

This principle in special relativity establishes that simultaneous events in one inertial frame are not necessarily simultaneous in another frame moving relative to the first. It highlights how the ordering and timing of events can differ between observers due to the finite speed of light and the structure of spacetime.

Lorentz Transformation

Lorentz transformations are the mathematical equations that relate the space and time coordinates of events as observed in different inertial frames. They explain how measurements such as time intervals and lengths are affected by relative motion, underpinning phenomena like time dilation, length contraction, and the relativity of simultaneity.

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