[AntonioLao]

In Euclidean geometry, exactly one straight line can be constructed between two given points. But in Riemannian geometry, there are infinitely many pairs of antipodal points where infinite numbers of geodesics can be connected for each pair. If one point represents time zero (beginning of the universe) and the other represents time infinity (end of the universe) and if the geodesics represent longitudinal circles, the latitude circles represent constant time intervals and the equator represent the temporal ½-way mark of the age of the universe.

The proper question to ask is whether our time-mark is approaching the equator or already passed it and is moving toward the end of time?

[Guille]

My automatic answer is nop because the end of the universe, I beleive, will happen in a big crunch, and, as we well know, the universe is still expanding and accelerating it's expansion. So we are still, at least, by pure intuitonal logical thinking, in the first quater of the life of the universe.

The more-thought about answer, is that we will never acheive to move at all in the life of the uiniverse. Because, you say that the end of the universe is time infinite. This is eternal. So, this impplies that it doesn't matter how much time we advance, we will still be at 0% of the universe's life.

[AntonioLao]

the time axis of the universe can never be more than 45 degrees nor less than zero or be negatives.

[mkirkpatrick]

Is a cycle the same as time?Antonio,i think we are indeed heading for a ending of a cycle
in about 40 billion years from now,no need to panic?For me the relative universe we are in
comes on line,then withdraws in an endless cycle of birth and death.We though as eternal
beings are unaffected by this natural phenomena.

regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick about 40 billion years from now

Sure would like to witness this firsthand that is physically not secondhand spirituality.