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Alex McColgan

πŸ‘€ Speaker
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26107 total appearances
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Podcast Appearances

Astrum Space
Paradoxes That Push the Limits of Reality

Essentially, this isn't too unreasonable, as we've just turned the first diagram slightly on its side.

Astrum Space
Paradoxes That Push the Limits of Reality

Now, the sequence works.

Astrum Space
Paradoxes That Push the Limits of Reality

With this,

Astrum Space
Paradoxes That Push the Limits of Reality

the part of the barn furthest from the pole meets it first, and the pole sees the orange door shut and open.

Astrum Space
Paradoxes That Push the Limits of Reality

Then, as time goes on and the pole and the barn proceed further into the future, the pole's other end reaches the blue door, which also shuts, then opens.

Astrum Space
Paradoxes That Push the Limits of Reality

Thanks to this vector in time and space,

Astrum Space
Paradoxes That Push the Limits of Reality

it's possible for the barn to not hit either end of the pole with its shutting doors.

Astrum Space
Paradoxes That Push the Limits of Reality

The order of events is right from the pole's point of view.

Astrum Space
Paradoxes That Push the Limits of Reality

The barn's further orange back door shuts and opens before the barn's blue front door does.

Astrum Space
Paradoxes That Push the Limits of Reality

This is what special relativity tells us should occur.

Astrum Space
Paradoxes That Push the Limits of Reality

But do you see why this configuration is so strange?

Astrum Space
Paradoxes That Push the Limits of Reality

It implies to me that the barn itself is not simultaneous while it is in motion.

Astrum Space
Paradoxes That Push the Limits of Reality

And here's where we're jumping from the paradox into my own thoughts about it.

Astrum Space
Paradoxes That Push the Limits of Reality

What do I mean by simultaneous?

Astrum Space
Paradoxes That Push the Limits of Reality

I mean that we expect the barn to exist as a discrete entity at a single point in time.

Astrum Space
Paradoxes That Push the Limits of Reality

It does exist, with every part of it happening at the same now, even if it's undergoing a little time dilation here and there.

Astrum Space
Paradoxes That Push the Limits of Reality

But the barn the pole sees is not happening in a single now.

Astrum Space
Paradoxes That Push the Limits of Reality

Part of it is ahead in time.

Astrum Space
Paradoxes That Push the Limits of Reality

and part of it is lagging behind.

Astrum Space
Paradoxes That Push the Limits of Reality

And you can see both parts at once.