cosmology....?

Question

-We say that the value of omega (exact) should be of 1,023 +- 0,02, which suggests that space with 3 dimensions is closed?

-the metric fluctuates in the infinitely small, then why its principal characteristic,its signature, should remain fixed?

-Is the mode ultracour of quantum gravity intrinssically topological so that the continius degrees of freedom desappear?

-Today, the speed of expansion of the universe rises with 72 km/s, and the value of the density of the universe is lower than the value of critical density. If the value of the universe exceeds the critical value, the expansion of the universe will be reversed completely and thus ended up this finding with the length of Planck? (big crunch)

Answer 1

Q4) yes, your understanding of what critical density means is correct.

Q3) Huh? A little more information is necessary. It is not clear what you are talking about. What is "ultracour?" Is this an untranslated French word?

Q2) Are you referring to the signature of quantum fluctuations in the cosmic microwave background? If so, then what has happened is inflation took place on a timescale too short for small scale quantum fluctuations to change. It is as if the lumpiness of the universe from quantum fluctuations while very small, was frozen while the universe expanded several orders of magnitude. At that point these microscopic quantum fluctuations ended up leaving macroscopic footprints on the density structure of the universe.

Q1) Yes, ***if*** omega > 1, then the universe is closed. I don't know where you got that number from, however I doubt that even the authors of the paper would assert that universe is certainly closed. The 0.02 probably refers to the one sigma uncertainty (which is not all that statistically certain) due to the ***understood*** deficiencies of the experiment that came up with the 1.023 number. I think you will be hard pressed to find many cosmologists who conclusively assert that the universe is other than flat (omega =1). You are over-intepreting the data when you look at that number and say the universe is certainly closed.