you'd need a physicist. a physician is a "hausarzt" ;).
that thing you are describing is called black hole and we have just shot our first photo of one. there are some hypotheses about how a black hole looks from the inside (some fringe theories say that it might not be just all matter concentrated in a single point as the accepted theory suggests but that it might look like a new universe on the "inside".) but there is no way we can know that. there is no way to transmit information to or from a black hole. (to be exact that's not quite true. a black hole acquires its three properties, mass, rotation and charge (charge only in theory, black holes are neutral. still this cannot be used to transmit information)
what makes you think that our universe has consciousness? or if it had consciousness that it would want anything, or want to prevent its death? fear of death is something that has evolved in our species. natural selection kills living things prematurely that don't take care to stay alive. if the universe itself was conscious it would not have undergone such a process and most likely would not see a need to preserve its life.
there cannot be eternal life of any way in our universe. there is no escape. the possible scenarios for our future are (in order of likelyness) :
- big freeze (the heat death of the universe. after a long period of time all particles eventually decay and are converted to radiation. black holes eventually radiate all their energy and disappear too. there is no difference in energy or entropy anywhere. so no energy or information can be transmitted anymore. any process that could sustain any form of life has stopped.) this is by far the most likely variant.
-big rip (the expansion of space time accellerates further and further until it rips everything apart. space expands so fast that the forces holding anythign together cannot work anymore (they work at light speed). at first galaxies are seperated, then the solar system, then the earth, then atoms. in the end it would take more than light speed to communicate from any point in the universe to any other. no physical process can take place, no information can be transmitted, no life can exist here.
a lot less likely:
-big crunch (the expansion of space slows and and is in the end overwhelmed by gravity. this would probably require decay of the universe's vacuum state to a lower energy, which we don't yet know is possible and would destroy everything in our universe right now). then the universe would collapse into a single point, and it either could stay like that forever or the whole thing could start again. we have no idea which one is more likely right now.
if it were true that creating a black hole creates another universe inside this, then the new universe would be lower in energy than the one we are now, so the "eternal life" would get smaller in every instance. also these child-universes would eventually also be destroyed by the processes above. before our own universe is. and of course, there is no way to travel from ours into a child-univese alive.
so no, i do not agree. but i find the science much weirder and more fascinating than this hypothesis here.
if collapsing into a black hole creates a new smaller universe then yes: it could already have happened. and it would be more likely that we are living in such a thing than otherwise. alas, there is no way for us to know. we don't even know if our universe is finite or inifinite in size, and because light speed is the ultimate limit and space is expanding faster than that at huge distances we will most likely never know.
however there are serious physical ideas that would allow life to exist for all eternity in the universe, just not in our region of space. look up eternal inflation. the basic idea is that in its early days the universe was expanding much faster than it is now right here (that theory of inflation happened seems almost certain by now. ) but in eternal inflation the expansion has only slowed down in some isolated regions (called pocket universes, we are in one of those) while the rest continues to expand at an exponential rate. thus the there will be infinitely many more pocked universes like ours created in the future. but of course life is only possible in the pocket universes, the pocked universes all face the fate described above and there is no way to transmit anything from one pocket universe to another.