27 November, 2009

New knowledge, new horizons

I returned to thinking, maybe only for a few days (but we can't know now), that math can give new tools to the imagination (if you want to call wings, no problem). There was some mathematical structures I didn't know well. Thinking about I learn about vector fields (that happened mainly in this semester), I can make models for physical principles using math (more specifically, vector fields), and for me that is an enrichment of my world view. I know that is about things can be well defined (not for relationships, for example), but it's still an extra eye, an extra sense.

Traditionally I have the thought that the time in fact doesn't exist in the sense of "before" and "after" being specially important concepts. I'll explain by another way. For me, there is no meaning asking what there was before big0bang, for example. I can imagine that the particles, instead of time-dependent curves, are simply curves in a space (in a math meaning). Assuming there's only the gravitacional force and using the ideia (came from relativity) that every point moves with a constant speed c through all the dimensions (it's good to study a little before understand), we can make a vector field (say in R^8, so we have the three larger dimensions and the time, the position and the speed for each). One of these "dimensions" the humans (and the animals too) can measure, and describe the events from it. Probably there're laws restricting the particles movement, or we wouldn't observe them. Back: i can see the particle by a parametrization where the time always goes ahead or simply imagine it's a static curve in R^8, for example. So, the universe is well built and has its standards (or at least we think it has and we try foretell them using our rudiments of mathematics), and it's not something that evaluate through the time. Again, the universe is everything, including all times (or ages) of what we normally call universe.

With this (I know it's confusing, I formulated this a hour ago reading The Elegant Universe, book of Brian Greene), I could get a better background (a little improvement in knowledge) of static universe. I think if I understand better I can avoid formulate wrong questions, and even learn to change them so that they could be researched and answered!

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