the principles of Quantum Theory is considered as the most important guideline. Hence, in ST the BI is currently not implemented and vice versa LQG presently does not put any constraints on the matter content of the world. It is not clear if any of these principles or both should be realized in quantum gravity at all, however, historically there is evidence for the success of both. On the one hand, the non-renormalizable Fermi model of the weak interaction was replaced by the renormalizable electroweak theory which unifies the weak and electromagnetic interaction. On the other hand the puzzles of non-relativistic quantum mechanics (e.g. negative energy particles) were resolved by unifying special relativity and quantum mechanics in QFT (“second quantization”).

In the absence of experimental input (so far) it is therefore worthwhile to keep our minds open and push complementary ideas to their frontiers and to learn from the advantages and disadvantages of competing programmes. It is the purpose of this paper to make a small contribution to that extent. Namely, we ask the question:

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[**Can the BI methods of LQG be employed in order to provide an alternative quantization of ST? If yes, what are the differences?**]{}\
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