So I learned that a plane and a line passing through the origin are subspaces of the three-dimensional space.
It’s funny that I realize it just now considering that this is something that I’m expected to know.
Anyway, I thought that subspaces are like sub-dimensions. Or collapsing of dimensions. Basically your movements are restricted to fewer number of dimensions than what is normally allowed.
Reminds me of Flatland.
A being in one dimension can’t move up to two dimensions. He’s basically restricted to move left or right. He’s only allowed to travel within a line. He can’t stray. He can’t move up a dimension.
On the other hand, a two-dimensional being can easily “move down” to a line. He can interact with the one-dimensional being. He has that freedom. It’s like an angel moving down to earth.
But by “moving down” he’s restricting himself. I guess the question is: can he move up again?
Can an angel who decided to be human go back to being an angel again? Or is he trapped in this dimension?
On cats and sub-creatures
I also had this weird idea that animals are sub-creatures of humans. What can a human do that a cat cannot do? They are very limited intellectually compared to a human. All they care about is eat and sleep, basically. And play sometimes.
We have this small cat that loves to play with cockroaches. I call her a cockroach terrorist. She catches them not to eat them or kill them but to play them like a toy. I’m just thinking that that is acceptable because it’s a cat. She can’t help but follow her animalistic instincts. She’s curious what this flying moving creature is. Imagine if a human being does that to another creature. That person will be called a psychopath. Torturing an animal just for fun.
So in a sense we are held to a higher standard than a cat. With great power comes great responsibility. It is expected that we do not inflict unnecessary pain to animals. If we must kill them for food or other reasons, we must do it swiftly and with minimal pain.
Reincarnation and karma
So what can a being do to move up to a higher dimension? The answer might be karma and reincarnation.
Those who believe in reincarnation, however, hold to a cyclical view of time in which the soul undergoes cycles of life, death and rebirth. The soul may be born into a human body and then, when the human body dies, it may be reborn into an animal body or the body of a supernatural being (angels, demons, etc.). This cycle may be repeated many hundreds of times. (source: world-religions-professor)
So how can you be reborn as a superior being? By being a good person in this lifetime.
The type of body and psychological disposition — likes, dislikes, phobias, etc., one receives upon rebirth is dependent on the actions (karma) within that one life combined with the actions from previous lives. (source: huffpost)
Final thoughts
This connection between subspaces and reincarnation surprised me. I was merely reading about the difference between modules and vector spaces. So naturally, the topic of subspaces came up.
I don’t know what to think of it. I’m not Hindu. I don’t necessarily believe in reincarnation. Although I hope that bad guys will be brought to justice. And good guys will win in the end. But what end are we talking about? It’s a cycle, they say.
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