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Alex McColgan

πŸ‘€ Speaker
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26107 total appearances
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Appearances Over Time

Podcast Appearances

Astrum Space
Paradoxes That Push the Limits of Reality

The barn is not simultaneous, because you can see it across a range of times.

Astrum Space
Paradoxes That Push the Limits of Reality

Its length might be contracting, but the dimensional space you see it occupy in time seems to you to be growing.

Astrum Space
Paradoxes That Push the Limits of Reality

We do not think like this, but the idea has a beautiful sensibleness to it in a universe of 4D space.

Astrum Space
Paradoxes That Push the Limits of Reality

Like when a racing car swerving to the left causes its right wheel to protrude further forward, when you move to the left on our spacetime diagram, it causes the part of you furthest away from the direction of motion to protrude into the future more than the part that's closer.

Astrum Space
Paradoxes That Push the Limits of Reality

That's just geometry.

Astrum Space
Paradoxes That Push the Limits of Reality

For the record, this seems to happen as a gradient along the whole of the object in motion.

Astrum Space
Paradoxes That Push the Limits of Reality

This way of thinking also allows length contraction to conceptually make a lot more sense.

Astrum Space
Paradoxes That Push the Limits of Reality

After all, if our pole is in motion and the front of the pole is further in the past and the back of the pole is further in the future, then it makes sense to consider where each part of the pole exists in space during those moments in time.

Astrum Space
Paradoxes That Push the Limits of Reality

The front of the pole that exists further back in time

Astrum Space
Paradoxes That Push the Limits of Reality

has not travelled as far as the rest of the pole, so the start of the pole is further back.

Astrum Space
Paradoxes That Push the Limits of Reality

Similarly, if the back of the pole which exists further forward in time has by then moved further through space compared to the rest of the pole, so the back of the pole is further forward.

Astrum Space
Paradoxes That Push the Limits of Reality

What happens when you combine a dawdling front with a further ahead back?

Astrum Space
Paradoxes That Push the Limits of Reality

Length contraction.

Astrum Space
Paradoxes That Push the Limits of Reality

The only surprise is that it seems that we can see this, in experiments in the Large Hadron Collider and other places.

Astrum Space
Paradoxes That Push the Limits of Reality

Somehow, we are seeing across a cross-section of time.

Astrum Space
Paradoxes That Push the Limits of Reality

So, it works.

Astrum Space
Paradoxes That Push the Limits of Reality

It just feels like it shouldn't.

Astrum Space
Paradoxes That Push the Limits of Reality

You might think this is a little out there, but consider.

Astrum Space
Paradoxes That Push the Limits of Reality

What would an object that didn't exist in all the same moment in time look like to you?

Astrum Space
Paradoxes That Push the Limits of Reality

Could you tell it apart from any other object?