The knights of infinity are dancers and possess elevation

24.jpg

No Big Bang? Quantum equation predicts universe has no beginning

The widely accepted age of the universe, as estimated by general relativity, is 13.8 billion years. In the beginning, everything in existence is thought to have occupied a single infinitely dense point, or singularity. Only after this point began to expand in a “Big Bang” did the universe officially begin.

Although the Big Bang singularity arises directly and unavoidably from the mathematics of general relativity, some scientists see it as problematic because the math can explain only what happened immediately after—not at or before—the singularity.

{ Phys.org | Continue reading }

Hilbert managed to build a hotel with an infinite number of rooms, all of which are occupied.

Suppose a new guest arrives and wishes to be accommodated in the hotel. Because the hotel has an infinite number of, we can move any guest occupying any room n to room n+1 (the occupant of room 1 moves to room 2, room 2 to room 3, and so on), then fit the newcomer into room 1.

Now suppose an infinite number of new guests arrives: just move any occupant of room n to room 2n (room 1 to room 2, room 2 to room 4, room 3 to room 6, and so on), and all the odd-numbered rooms (which are countably infinite) will be free for the new guests.

{ Wikipedia | Continue reading }