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10.1038/ncomms15044 http://scihub22266oqcxt.onion/10.1038/ncomms15044 C5413945!5413945!28429711     free     free     free Deprecated: Implicit conversion from float 233.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 233.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 233.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534       Nat+Commun 2017 ; 8 (ä): ä Nephropedia Template TP {{tp|p=28429711|t=2017. Single-photon test of hyper-complex quantum theories using a metamaterial |pdf=|usr=}}{{28429711}} gab.com Text Single-photon test of hyper-complex quantum theories using a metamaterial JO: Nat Commun http://www.kidney.de/pget.php?&tw=1&pmid=28429711 #FOAvip In standard quantum mechanics, complex numbers are used to describe the wavefunction. Although this has so far proven sufficient to predict experimental results, there is no theoretical reason to choose them over real numbers or generalizations of complex numbers, that is, hyper-complex numbers. Experiments performed to date have proven that real numbers are insufficient, but the need for hyper-complex numbers remains an open question. Here we experimentally probe hyper-complex quantum theories, studying one of their deviations from complex quantum theory: the non-commutativity of phases. We do so by passing single photons through a Sagnac interferometer containing both a metamaterial with a negative refractive index, and a positive phase shifter. To accomplish this we engineered a fishnet metamaterial to have a negative refractive index at 780?nm. We show that the metamaterial phase commutes with other phases with high precision, allowing us to place limits on a particular prediction of hyper-complex quantum theories. Twit Text FOAVip Single-photon test of hyper-complex quantum theories using a metamaterial ????Nat Commun http://www.kidney.de/pget.php?&tw=1&pmid=28429711 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=28429711 #FOAvip English Wikipedia <ref>{{Cite pmid|28429711}}</ref> Single-photon test of hyper-complex quantum theories using a metamaterial #MMPMID28429711 Procopio LM; Rozema LA; Wong ZJ; Hamel DR; O'Brien K; Zhang X; Daki? B; Walther P Nat Commun 2017[]; 8 (ä): ä PMID28429711show ga In standard quantum mechanics, complex numbers are used to describe the wavefunction. Although this has so far proven sufficient to predict experimental results, there is no theoretical reason to choose them over real numbers or generalizations of complex numbers, that is, hyper-complex numbers. Experiments performed to date have proven that real numbers are insufficient, but the need for hyper-complex numbers remains an open question. Here we experimentally probe hyper-complex quantum theories, studying one of their deviations from complex quantum theory: the non-commutativity of phases. We do so by passing single photons through a Sagnac interferometer containing both a metamaterial with a negative refractive index, and a positive phase shifter. To accomplish this we engineered a fishnet metamaterial to have a negative refractive index at 780?nm. We show that the metamaterial phase commutes with other phases with high precision, allowing us to place limits on a particular prediction of hyper-complex quantum theories. äSingle-photon test of hyper-complex quantum theories using a metamater(epmc).pdf DeepDyve Pubget Overpricing