Eodnhoj7 wrote: ↑Sat Feb 08, 2020 5:43 pm
tapaticmadness wrote: ↑Sat Feb 08, 2020 2:32 am
Eodnhoj7 wrote: ↑Fri Feb 07, 2020 10:36 pm
Not really as each space between points contains further space between points. Planck's constant is still subject to fractions as it expresses our current ability to measure.
First, if Space is infinitely divisible, transfinitely infinite, then all the paradoxes of Infinity apply to Space.
Yes they would apply.
Secondly, if you are considering physics and space beyond the plank constant, then you will have to deal with Heisenberg's Uncertainty Principle which means that at very small distances the energy fluctuation is going to be so great as to tear the universe apart in an instant.
The replication of curvature, one curve manifesting to a new curve, is space tearing into new space.
"The replication of curvature, one curve manifesting to a new curve, is space tearing into new space." That may very well be true. Geometry is a marvelous thing. I am lately being enchanted by conformal mapping. The universe at its most extreme inflationary expansion is the same as the singularity at the instant of the Big Bang, so it becomes a repeating cycle. I'll leave it to the mathematicians to describe it.
I have always loved this beginning of a poem by Yeats
Turning and turning in the widening gyre
The falcon cannot hear the falconer;
Things fall apart; the centre cannot hold;
Mere anarchy is loosed upon the world,
And this from Nietzsche's Parable of a Madman
The madman jumped into their midst and pierced them with
his eyes. "Whither is God?" he cried; "I will tell you. We have killed
him—you and I. All of us are his murderers. But how did we do
this? How could we drink up the sea? Who gave us the sponge to
wipe away the entire horizon? What were we doing when we
unchained this earth from its sun? Whither is it moving now?
Whither are we moving? Away from all suns? Are we not plunging
continually? Backward, sideward, forward, in all directions? Is there
still any up or down? Are we not straying as through an infinite nothing? Do we not feel the breath of
empty space? Has it not become colder? Is not night continually closing in on us? Do we need to light
lanterns in the morning? So we hear nothing as yet of the noise of the gravediggers who are burying
God? Do we smell nothing as yet of the divine decomposition? Gods, too, decompose. God is dead.
God remains dead. And we have killed him.
In the geometries we are using now in physics there is no center. Indeed, back in the 1980s there was a lot of talk about self-organizing systems, no need for a controlling center. Now that idea seems dead. The chaos has spread. Entropy has increased. I personally think that after the Death of God a new god will or has appeared. He will be like Zarathustra. I have written about that extensively. Extremes meet Strange geometries appear. One space changes into another Such eternal transformation is the very essence of mythology.
One more thing, the firewall that has held for so long between the true and the false, the objective and the subjective, between fact and fiction, the real and the imaginary, that has begun to crumble in post-modernism.