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Microscopic gravity?

Johan Hansson Division of Physics Luleå University of Technology

SE-971 87 Luleå, Sweden c.johan.hansson@ltu.se

The Holy Grail of fundamental physics is how to force quantum physics and gravity into the same theory. Or, more succinctly: finding a theory of quantum gravity. So far it has eluded us, and we review some possible reasons.

A simple opportunity to cut the Gordian knot in a somewhat unexpected manner may be based on gravity emerging at a non-fundamental level, i.e. on theories akin to one suggested already in the 1960s by famous Soviet physicist Andrei Sakharov [1] today best known as political dissident, human rights activist and Nobel Peace prize winner. In such theories gravity is just a consequence of the fundamental (non-gravitational) microscopic forces. If this is the case, one should not actively quantize gravity “again” because the origin of it is then already quantized. This could also solve many fundamental problems in one fell swoop. If gravity simply does not exist at the fundamental microscopic level, the most embarrassing discrepancy throughout physics disappears: the measured vs. the theoretically calculated magnitude of the cosmological constant. Standard theory predicts a value 10120 times greater than the observed [2]. This is probably the largest number occurring in any science, and certainly the biggest mismatch between theory and observation. If gravity simply is a collective, long-range, “macroscopic” consequence of other interactions this problem dissolves by itself, since gravity then would not “see” the virtual quantum fluctuations and

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hence be “blind” to vacuum energy. Even the unpleasant singularities occurring within black holes, and in the creation of the universe, signaling a breakdown of known theory, would disappear because they rely on the assumption that gravity exists down to zero distance.

Because gravity is so ridiculously much weaker than all other natural forces (about 1040 times), it indeed might seem almost absurd to take it as an independent fundamental interaction. And as gravity has never been tested experimentally at distances less than 0.1 millimeters, we have no direct proof that it really is a fundamental “microscopic” interaction.

Another possible and more worrying alternative is that a description of quantum gravity might exist, and is “the way the world really works”, but man is not developed enough to formulate it. There are with certainty phenomena in the universe that we, in principle, will never be able to discover or even register, and thus not be able to describe theoretically. Perhaps quantum gravity belongs to such a category, simply beyond human comprehension.

Niels Bohr, for example, felt that as physicists sought to penetrate further into nature they would face questions of increasing complexity and difficulty that would eventually

overwhelm them, making the search for the ultimate theory of physics futile. Chimpanzees and humans are virtually identical creatures at the DNA level, but no one would expect Cheeta to have developed a similar theory and understanding of electromagnetism as we humans.

Although the problem has been studied since 1930 by many of history's foremost physicists - Leon Rosenfeld seems to have been the first [3] - there is still no working theory of quantum gravity. String theory is often incorrectly cited just as such, but despite that (too) many have been working on this theory for over 40 years not one concrete tested/testable prediction about nature has come out of it. In their hubris string theorists seem to have totally forgotten

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that physics is the study of nature, and that the sole purpose of physical theories is to interpret and predict phenomena in it. Freeman Dyson has even asserted that we do not need a quantum theory of gravity because single graviton emission can never be detected.

In recent years, suggestions have anyway started to pop up on how to possibly test

“phenomenological” quantum gravity, i.e. to connect it to the phenomena of nature, but as long as these results are nonexistent string theory and other proposals for quantum gravity remain only distant dreams and hopes. Without experimental input theoretical “progress” is almost always in the wrong direction. It seems we have to await either new experimental results, or a “new Einstein” - or both.

[1] A. D. Sakharov, Sov. Phys. Dokl. 12 (1968) 1040 [Dokl. Akad. Nauk Ser. Fiz. 177 (1968) 70]. Reprinted in Gen. Rel. Grav. 32 (2000) 365.

[2] S. Weinberg, Rev. Mod. Phys. 61 (1989) 1.

[3] L. Rosenfeld, Z. f. Phys. 65 (1930) 589.

References

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