I would like to explore the idea of a shrinking universe that appears to observers within it to be expanding.
Arthur Eddington wrote this idea in his book "The Expanding Universe":
http://books.google.com/books?id=KH...BAw&sqi=2&ved=0CC8Q6AEwAQ#v=onepage&q&f=false
If the universe is spherical and it was shrinking in size, along with the matter it contains, then the observers within it would most likely think that they lived in a static unchanging universe, because objects would be co-shrinking equally along with the relative metric distances between them and there would be no standard to compare the relative shrinkage to.
The blue dots symbolize galaxies on the surface of the cross section of a spherical shrinking universe. Their relative positions remain unchanged as they are co-shrinking.
I propose that universes spontaneously erupt from a primordial state of nothing, which I will euphemistically call the primordial dark.
This primordial nothingness has no metric properties to speak of. Flashes, or sparks, of energy spontaneously rupture and bubble within the primordial dark as damped harmonic oscillations that are then reabsorbed by the dark.
http://en.wikipedia.org/wiki/Harmonic_oscillator#Damped_harmonic_oscillator
My speculative thought model is that the universe is a shrinking torus, which appears to observers within it as an expanding space-time.
This time the blue dots on the surface of the cross section of the torus representing galaxies appear to be moving away from each other as they are co-shrinking
It shouldn't take too much effort to derive the space-time metric for a shrinking torus, ...I hope :shrug:
http://mathworld.wolfram.com/Torus.html
As quantum entanglement continues to increase, the arrow of time becomes irreversible.
http://arxiv.org/abs/1001.0785
http://arxiv.org/abs/1002.4568
Time machines can never travel to the past because entropy can never decrease unless energy is brought from outside the system ...but there is no system "outside" of space-time. Time travel to the past is impossible. ...probably
...
Arthur Eddington wrote this idea in his book "The Expanding Universe":
http://books.google.com/books?id=KH...BAw&sqi=2&ved=0CC8Q6AEwAQ#v=onepage&q&f=false
If the universe is spherical and it was shrinking in size, along with the matter it contains, then the observers within it would most likely think that they lived in a static unchanging universe, because objects would be co-shrinking equally along with the relative metric distances between them and there would be no standard to compare the relative shrinkage to.
The blue dots symbolize galaxies on the surface of the cross section of a spherical shrinking universe. Their relative positions remain unchanged as they are co-shrinking.
I propose that universes spontaneously erupt from a primordial state of nothing, which I will euphemistically call the primordial dark.
This primordial nothingness has no metric properties to speak of. Flashes, or sparks, of energy spontaneously rupture and bubble within the primordial dark as damped harmonic oscillations that are then reabsorbed by the dark.
http://en.wikipedia.org/wiki/Harmonic_oscillator#Damped_harmonic_oscillator
My speculative thought model is that the universe is a shrinking torus, which appears to observers within it as an expanding space-time.
This time the blue dots on the surface of the cross section of the torus representing galaxies appear to be moving away from each other as they are co-shrinking
It shouldn't take too much effort to derive the space-time metric for a shrinking torus, ...I hope :shrug:
http://mathworld.wolfram.com/Torus.html
As quantum entanglement continues to increase, the arrow of time becomes irreversible.
http://arxiv.org/abs/1001.0785
http://arxiv.org/abs/1002.4568
Time machines can never travel to the past because entropy can never decrease unless energy is brought from outside the system ...but there is no system "outside" of space-time. Time travel to the past is impossible. ...probably
...
