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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

An interesting result of this model is that, from the 2D man's perspective, nothing has really changed.

Astrum Space
Paradoxes That Push the Limits of Reality

He has his own view of what reality is.

Astrum Space
Paradoxes That Push the Limits of Reality

For him, the vector coming out of his chest is still time.

Astrum Space
Paradoxes That Push the Limits of Reality

The dimensions of the plane he's lying flat on is his space.

Astrum Space
Paradoxes That Push the Limits of Reality

To him, it's the rest of the universe that's gone a little weird, but he himself is perfectly normal.

Astrum Space
Paradoxes That Push the Limits of Reality

However, once he reorients himself, it is clear that the rest of the universe has moved on without him.

Astrum Space
Paradoxes That Push the Limits of Reality

This is clearer if we add a second 2D person.

Astrum Space
Paradoxes That Push the Limits of Reality

Initially, both of our individuals do not move in space.

Astrum Space
Paradoxes That Push the Limits of Reality

All of their vector is pointing in the direction of time.

Astrum Space
Paradoxes That Push the Limits of Reality

Nothing that strange seems to happen so far.

Astrum Space
Paradoxes That Push the Limits of Reality

However, if our stick man on the right turns and vectors at near the speed of light for a bit, then reorients himself, while the second 2D man on the left just stays where he is, it becomes clear that our 2D men have not moved at the same rate through time.

Astrum Space
Paradoxes That Push the Limits of Reality

Assuming that our two stick men can somehow still see each other, let's imagine that they somehow project an image of themselves onto the other person's space plane, they immediately notice that there is a difference in age.

Astrum Space
Paradoxes That Push the Limits of Reality

one who travelled at the speed of light did not advance so quickly through time as the other, who remained stationary and so is younger.

Astrum Space
Paradoxes That Push the Limits of Reality

But why do we find this model so compelling?

Astrum Space
Paradoxes That Push the Limits of Reality

Well, it is because of what those projections would look like during changes in direction.

Astrum Space
Paradoxes That Push the Limits of Reality

From the point of view of the first stickman, initially the projection of their friend seems fairly normal,

Astrum Space
Paradoxes That Push the Limits of Reality

However, as they start travelling very quickly in space, and their vector oriented in a direction away from time, a 2D shape reveals its inherent flatness.

Astrum Space
Paradoxes That Push the Limits of Reality

And from a face-on perspective, it goes from this to this.

Astrum Space
Paradoxes That Push the Limits of Reality

The speedily travelling stickman appears to flatten, with an effect that's more pronounced the faster they go, and the flattening takes place in the direction of their travel.

Astrum Space
Paradoxes That Push the Limits of Reality

The stickman who remains stationary might wonder at the strange change that is occurring to their friend, never comprehending that it represents a reorientation of a 2D figure in 3D space.