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The main issue of the present letter is to fix specific features (which turnout being independent of extradimension size) of gravitational waves generatedbefore a dimensional compactification process. Valuable is the possibility todetect our prediction from gravitational wave experiment without high energylaboratory investigation. In particular we show how gravitational waves canbring information on the number of Universe dimensions. Within the framework ofKaluza-Klein hypotheses, a different morphology arises between waves generatedbefore than the compactification process settled down and ordinary4-dimensional waves. In the former case the scalar and tensor degrees offreedom can not be resolved. As a consequence if were detected gravitationalwaves having the feature here predicted (anomalous polarization amplitudes),then they would be reliable markers for the existence of an extra dimension.Comment: 5 pages, two figure, to appear on Int. Journ. Mod. Phys.

CAN GRAVITATIONAL WAVES BE MARKERS FOR AN EXTRA-DIMENSION?