I never took Calculus so I don’t really know how to derive those equations, but Planck’s time and space measures are still based upon comparison. It compares the speed of light in a vacuum to his constant and gravity. Measurement is still based upon comparison.
Time and Space have no size, and therefore cannot expand or contract. It seems to me that the idea of it expanding or contracting is based upon the collective phenomenalogical field of humanity. As our phenomenalogical field expands, so would the perception of time and space. Take focus for instance. If we focus a telescope on the Andromeda galaxy, then it will be larger than it would be if we took a more panoramic view which centered upon it. So if we had a previous perception of empty space as being not worth much note other than it intervened between our perception and that which we were perceiving, then the thing being perceived would loom larger in our perception, as it would not be compared to anything next to it. Like my apartment building is smaller next to the Empire State Building, but larger next to a Cooper Mini. This is something I am aware of consistently living in New York where we have all these monolithic buildings. I see 80 story buildings daily, and they seem kind of small in comparison to 60 and 100 story buildings. However, I can go to a town like Phoenix Arizona and see a 40 story building and think that it looks really huge, because there is nothing looming next to it that is similar in size.
So now that we increasingly study the intervening space and it starts to obtain discernable properties, it seems larger in comparison to the things we are comparing it to, but is it really becoming larger, or is it just a matter of shifting perspective?
Would Planck’s length and time have any meaning at all if we were not measuring things with it? And if we are measuring things with it, then are we also doing the converse and measuring it with things?
The unit of measure is simply a tool we use to help us understand the universe around us. So if we make a “smallest unit of measure” and adhere to it, then I suppose it would by default cause the universe to “grow”. But we could just as well say the planck length was “shrinking” as we added more knowledge of that which was being measured to our phenomenological field.
As far as keeping this on topic goes. I’d like to say that just because there are infinite possibilities doesn’t mean that patterns must necessarily repeat. We create models in our imaginations that are similiar but not the same as our Earth, so that would be the alternate universe we are discussing. If thoughts are physical like SentientMeat says, then perhaps we are either discovering alternate worlds that exist, or creating them, that when we imagine them they come to life and exist.
When we say that there are infinite possibilities, the key word is still possible. Just because there is another split timeline where there is an alternate Earth doesn’t mean that it’s going to violate the rules of logic. So there might be another me that is a Pro-Football player on another Earth, but it’s not as likely that there is another me just sitting on the moon for no apparent reason. Though perhaps other universes are not bound by the same logic as ours. Also, if the other me is a pro-football player then how exactly is it that he is me? I am the only me in the universe, because if there is a slight difference, then it’s different and that makes it unique, even if it resembles me.
To me the idea of reincarnation is not really what people here are understanding it to be. The pattern persists. If it has ever existed it will always exist as time is eternal, only our measurement of it is linear. So these persistent patterns then come in contact with newly forming consciousnesses that are defining their own identities. Some are more powerful than others, some are specific and some are archetypal. For instance, if I really identify strongly with Jesus Christ, then a portion of me is a reincarnation of Jesus Christ because the meme that he left behind has informed greatly upon my sense of identity. However, there are other less specific archetypal forms of reincarnation that persist. Like the Mothering or the Fathering type. Other ideas that form our identity are when we were born in the year, what forces were at play, whether it was hot/cold/windy/rainy/massive solar flares/war/famine etc…
I personally don’t believe in individual consciousness in any more of a sense than we are individual parts that make up a whole, but it is the whole that is conscious not the individual. So the consciousness of a brain dead individual would persist in the will of those around him that have been affected by them, and are providing the political will that keeps them alive i.e. life support and feeding tubes.
Also if the brain is dead, then our body doesn’t necessarily stop feeling, but it stops putting the different perceptions together in any meaningful way. So the consciousness is diminished.
Also, perhaps perception of time is asymptotic, so the consciousness persists eternally but only up until the point that the brain ceases functioning. This accounts for “My life flashed before my eyes” sorts of experiences.
Erek