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Alex McColgan

πŸ‘€ Speaker
See mentions of this person in podcasts
25562 total appearances

Appearances Over Time

Podcast Appearances

Astrum Space
Paradoxes That Push the Limits of Reality

It then becomes easy to see that changing our direction comes about by decelerating with one of our values and accelerating with the other.

Astrum Space
Paradoxes That Push the Limits of Reality

We don't have to change both values though.

Astrum Space
Paradoxes That Push the Limits of Reality

Let's just give ourselves a little impetus in the x direction.

Astrum Space
Paradoxes That Push the Limits of Reality

Obviously, the more we are pushed, the faster we are going to travel, and the more our total vector begins to lean towards a perfect horizontal line.

Astrum Space
Paradoxes That Push the Limits of Reality

The size of our vector increases.

Astrum Space
Paradoxes That Push the Limits of Reality

However, let's say that we want to go faster.

Astrum Space
Paradoxes That Push the Limits of Reality

In fact, we want to go so fast that we are no longer travelling in the y direction, and are only moving in the x direction, or space.

Astrum Space
Paradoxes That Push the Limits of Reality

Is there any amount of push we can get in the x direction that will make it so that we are actually going completely horizontally?

Astrum Space
Paradoxes That Push the Limits of Reality

No.

Astrum Space
Paradoxes That Push the Limits of Reality

You could increase the distance in x by a larger and larger amount, but as long as y has some value, you will never actually get that vector perfectly going across space.

Astrum Space
Paradoxes That Push the Limits of Reality

The only way you could get your vector in the time direction to slow down is if you pushed against something that's ahead of you, or pulled on something behind you.

Astrum Space
Paradoxes That Push the Limits of Reality

But if everything near you is in the same second you are in, there's nothing to push against.

Astrum Space
Paradoxes That Push the Limits of Reality

You can only push each other left or right.

Astrum Space
Paradoxes That Push the Limits of Reality

Nothing is ahead or behind.

Astrum Space
Paradoxes That Push the Limits of Reality

Interestingly, with only this available to you, your vector can trend closer and closer to flat, but it never actually reaches it.

Astrum Space
Paradoxes That Push the Limits of Reality

And increasing your speed produces diminishing returns on how much flatter you can get your vector.

Astrum Space
Paradoxes That Push the Limits of Reality

You have a limit.

Astrum Space
Paradoxes That Push the Limits of Reality

you would essentially need to go infinite speed to approximate a flat line, and to go infinite speed, you would need infinite energy.

Astrum Space
Paradoxes That Push the Limits of Reality

Difficult to get your hands on.

Astrum Space
Paradoxes That Push the Limits of Reality

Of course, this is where the idea diverges from reality.