bilglik 6

332 Bilgilik
away from each other. This leads to the very strange situation where you can have 5
squares all meeting up at a
corner, instead of the usual 3 that is possible in normal 2D space. All right, this seems a
little confusing.
What does it mean if space is hyperbolic? Well, let’s consider what it is we are curving
around.
You might have noticed when we talked about our spherical shape that there must be
something we were curving around.
That direction of curvature is in regards to time. Imagine if you will a series of timelines:
We go a little more in depth with the interplay
between space and time in my last video, which I would really recommend you check
out. But for now, just remember for this model that objects in time move forward along
their
timelines in the direction of “up”, or the future. If they move left or right, they are moving
through “space”, getting closer to each
other. If we introduce a large mass into this model, it warps the timelines: Now, if you
were a
small object travelling along one of those arrows that got too close to the mass, suddenly
your path of travel no longer goes directly up towards the future, it pulls you left or
right towards the mass. There are reasons for this, but the essential thing to recognise here
is that now, your
“straight” path towards the future pulls you in towards the planet, so you’ll have to
accelerate away from it just to stay on a straight path.
In a nutshell, you are experiencing gravitational pull. Even the planet is effected by this
– the atoms on either side of it are squeezed towards
the centre of mass, as if it were being forced down a narrow tube by giant, invisible hands.
Let’s get back to Hyperbolic space. In this model, the opposite thing is happening.
All lines are moving away from each other. We could represent this by curving space and
letting our timelines be straight: which is
nice because it captures the idea that from your perspective, your time is always ticking