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Published online 2008."},"year":"2008","language":[{"iso":"eng"}],"user_id":"15415","department":[{"_id":"63"},{"_id":"26"}],"_id":"26255","external_id":{"arxiv":["0805.1292"]},"status":"public","abstract":[{"lang":"eng","text":"We turn the physical Church-Turing Hypothesis from an ambiguous source of sensational\r\nspeculations into a (collection of) sound and well-defined scientific problem(s):\r\nExamining recent controversies and causes for misunderstanding concerning the state of the Church-\r\nTuring Hypothesis (CTH), it is suggested to study the CTH ‘sharpened’ relative to an arbitrary but\r\nspecific physical theory—rather than vaguely referring to “nature” in general. For this purpose we\r\ncombine physical structuralism with computational complexity theory. The benefits of this approach\r\nare illustrated by some exemplary results on computability and complexity in computational physics."}],"type":"journal_article","publication":"Applied Mathematics and Computation"},{"user_id":"15415","department":[{"_id":"63"},{"_id":"26"}],"_id":"26262","language":[{"iso":"eng"}],"type":"book_chapter","publication":"Verhandlungen der Deutschen Physikalischen Gesellschaft","status":"public","date_created":"2021-10-15T10:35:55Z","author":[{"last_name":"Ziegler","full_name":"Ziegler, Martin","first_name":"Martin"}],"date_updated":"2022-01-06T06:57:18Z","publisher":"Deutsche Physikalische Gesellschaft (DPG)","title":"A Meta-Theory of Physics and Computation","citation":{"bibtex":"@inbook{Ziegler_2008, title={A Meta-Theory of Physics and Computation}, booktitle={Verhandlungen der Deutschen Physikalischen Gesellschaft}, publisher={Deutsche Physikalische Gesellschaft (DPG)}, author={Ziegler, Martin}, year={2008}, pages={145} }","short":"M. Ziegler, in: Verhandlungen Der Deutschen Physikalischen Gesellschaft, Deutsche Physikalische Gesellschaft (DPG), 2008, p. 145.","mla":"Ziegler, Martin. “A Meta-Theory of Physics and Computation.” <i>Verhandlungen Der Deutschen Physikalischen Gesellschaft</i>, Deutsche Physikalische Gesellschaft (DPG), 2008, p. 145.","apa":"Ziegler, M. (2008). A Meta-Theory of Physics and Computation. In <i>Verhandlungen der Deutschen Physikalischen Gesellschaft</i> (p. 145). Deutsche Physikalische Gesellschaft (DPG).","ama":"Ziegler M. A Meta-Theory of Physics and Computation. In: <i>Verhandlungen Der Deutschen Physikalischen Gesellschaft</i>. Deutsche Physikalische Gesellschaft (DPG); 2008:145.","ieee":"M. Ziegler, “A Meta-Theory of Physics and Computation,” in <i>Verhandlungen der Deutschen Physikalischen Gesellschaft</i>, Deutsche Physikalische Gesellschaft (DPG), 2008, p. 145.","chicago":"Ziegler, Martin. “A Meta-Theory of Physics and Computation.” In <i>Verhandlungen Der Deutschen Physikalischen Gesellschaft</i>, 145. Deutsche Physikalische Gesellschaft (DPG), 2008."},"page":"145","year":"2008"},{"user_id":"15415","department":[{"_id":"63"},{"_id":"26"}],"_id":"26280","language":[{"iso":"eng"}],"type":"journal_article","publication":"Journal of Complexity","status":"public","author":[{"first_name":"Klaus","last_name":"Meer","full_name":"Meer, Klaus"},{"first_name":"Martin","last_name":"Ziegler","full_name":"Ziegler, Martin"}],"date_created":"2021-10-15T12:42:15Z","date_updated":"2022-01-06T06:57:18Z","doi":"10.1016/j.jco.2006.09.004","title":"An explicit solution to Post's Problem over the reals","publication_status":"published","publication_identifier":{"issn":["0885-064X"]},"citation":{"bibtex":"@article{Meer_Ziegler_2008, title={An explicit solution to Post’s Problem over the reals}, DOI={<a href=\"https://doi.org/10.1016/j.jco.2006.09.004\">10.1016/j.jco.2006.09.004</a>}, journal={Journal of Complexity}, author={Meer, Klaus and Ziegler, Martin}, year={2008}, pages={3–15} }","short":"K. Meer, M. Ziegler, Journal of Complexity (2008) 3–15.","mla":"Meer, Klaus, and Martin Ziegler. “An Explicit Solution to Post’s Problem over the Reals.” <i>Journal of Complexity</i>, 2008, pp. 3–15, doi:<a href=\"https://doi.org/10.1016/j.jco.2006.09.004\">10.1016/j.jco.2006.09.004</a>.","apa":"Meer, K., &#38; Ziegler, M. (2008). An explicit solution to Post’s Problem over the reals. <i>Journal of Complexity</i>, 3–15. <a href=\"https://doi.org/10.1016/j.jco.2006.09.004\">https://doi.org/10.1016/j.jco.2006.09.004</a>","ieee":"K. Meer and M. Ziegler, “An explicit solution to Post’s Problem over the reals,” <i>Journal of Complexity</i>, pp. 3–15, 2008, doi: <a href=\"https://doi.org/10.1016/j.jco.2006.09.004\">10.1016/j.jco.2006.09.004</a>.","chicago":"Meer, Klaus, and Martin Ziegler. “An Explicit Solution to Post’s Problem over the Reals.” <i>Journal of Complexity</i>, 2008, 3–15. <a href=\"https://doi.org/10.1016/j.jco.2006.09.004\">https://doi.org/10.1016/j.jco.2006.09.004</a>.","ama":"Meer K, Ziegler M. An explicit solution to Post’s Problem over the reals. <i>Journal of Complexity</i>. Published online 2008:3-15. doi:<a href=\"https://doi.org/10.1016/j.jco.2006.09.004\">10.1016/j.jco.2006.09.004</a>"},"page":"3-15","year":"2008"},{"doi":"10.1364/oe.16.007756","title":"Optical resonances of bowtie slot antennas and their geometry and material dependence","author":[{"first_name":"Hongcang","last_name":"Guo","full_name":"Guo, Hongcang"},{"first_name":"Todd P.","full_name":"Meyrath, Todd P.","last_name":"Meyrath"},{"first_name":"Thomas","last_name":"Zentgraf","orcid":"0000-0002-8662-1101","id":"30525","full_name":"Zentgraf, Thomas"},{"first_name":"Na","full_name":"Liu, Na","last_name":"Liu"},{"first_name":"Liwei","last_name":"Fu","full_name":"Fu, Liwei"},{"first_name":"Heinz","full_name":"Schweizer, Heinz","last_name":"Schweizer"},{"first_name":"Harald","full_name":"Giessen, Harald","last_name":"Giessen"}],"date_created":"2018-03-23T12:37:14Z","volume":16,"date_updated":"2022-01-06T06:53:09Z","publisher":"The Optical Society","citation":{"apa":"Guo, H., Meyrath, T. P., Zentgraf, T., Liu, N., Fu, L., Schweizer, H., &#38; Giessen, H. (2008). Optical resonances of bowtie slot antennas and their geometry and material dependence. <i>Optics Express</i>, <i>16</i>(11). <a href=\"https://doi.org/10.1364/oe.16.007756\">https://doi.org/10.1364/oe.16.007756</a>","mla":"Guo, Hongcang, et al. “Optical Resonances of Bowtie Slot Antennas and Their Geometry and Material Dependence.” <i>Optics Express</i>, vol. 16, no. 11, 7756, The Optical Society, 2008, doi:<a href=\"https://doi.org/10.1364/oe.16.007756\">10.1364/oe.16.007756</a>.","bibtex":"@article{Guo_Meyrath_Zentgraf_Liu_Fu_Schweizer_Giessen_2008, title={Optical resonances of bowtie slot antennas and their geometry and material dependence}, volume={16}, DOI={<a href=\"https://doi.org/10.1364/oe.16.007756\">10.1364/oe.16.007756</a>}, number={117756}, journal={Optics Express}, publisher={The Optical Society}, author={Guo, Hongcang and Meyrath, Todd P. and Zentgraf, Thomas and Liu, Na and Fu, Liwei and Schweizer, Heinz and Giessen, Harald}, year={2008} }","short":"H. Guo, T.P. Meyrath, T. Zentgraf, N. Liu, L. Fu, H. Schweizer, H. Giessen, Optics Express 16 (2008).","chicago":"Guo, Hongcang, Todd P. Meyrath, Thomas Zentgraf, Na Liu, Liwei Fu, Heinz Schweizer, and Harald Giessen. “Optical Resonances of Bowtie Slot Antennas and Their Geometry and Material Dependence.” <i>Optics Express</i> 16, no. 11 (2008). <a href=\"https://doi.org/10.1364/oe.16.007756\">https://doi.org/10.1364/oe.16.007756</a>.","ieee":"H. Guo <i>et al.</i>, “Optical resonances of bowtie slot antennas and their geometry and material dependence,” <i>Optics Express</i>, vol. 16, no. 11, 2008.","ama":"Guo H, Meyrath TP, Zentgraf T, et al. Optical resonances of bowtie slot antennas and their geometry and material dependence. <i>Optics Express</i>. 2008;16(11). doi:<a href=\"https://doi.org/10.1364/oe.16.007756\">10.1364/oe.16.007756</a>"},"intvolume":"        16","year":"2008","issue":"11","publication_status":"published","publication_identifier":{"issn":["1094-4087"]},"article_number":"7756","user_id":"30525","department":[{"_id":"15"},{"_id":"230"}],"_id":"1737","status":"public","type":"journal_article","publication":"Optics Express"},{"issue":"7211","publication_identifier":{"issn":["0028-0836","1476-4687"]},"publication_status":"published","intvolume":"       455","page":"376-379","citation":{"ieee":"J. Valentine <i>et al.</i>, “Three-dimensional optical metamaterial with a negative refractive index,” <i>Nature</i>, vol. 455, no. 7211, pp. 376–379, 2008.","chicago":"Valentine, Jason, Shuang Zhang, Thomas Zentgraf, Erick Ulin-Avila, Dentcho A. Genov, Guy Bartal, and Xiang Zhang. “Three-Dimensional Optical Metamaterial with a Negative Refractive Index.” <i>Nature</i> 455, no. 7211 (2008): 376–79. <a href=\"https://doi.org/10.1038/nature07247\">https://doi.org/10.1038/nature07247</a>.","ama":"Valentine J, Zhang S, Zentgraf T, et al. Three-dimensional optical metamaterial with a negative refractive index. <i>Nature</i>. 2008;455(7211):376-379. doi:<a href=\"https://doi.org/10.1038/nature07247\">10.1038/nature07247</a>","bibtex":"@article{Valentine_Zhang_Zentgraf_Ulin-Avila_Genov_Bartal_Zhang_2008, title={Three-dimensional optical metamaterial with a negative refractive index}, volume={455}, DOI={<a href=\"https://doi.org/10.1038/nature07247\">10.1038/nature07247</a>}, number={7211}, journal={Nature}, publisher={Springer Nature}, author={Valentine, Jason and Zhang, Shuang and Zentgraf, Thomas and Ulin-Avila, Erick and Genov, Dentcho A. and Bartal, Guy and Zhang, Xiang}, year={2008}, pages={376–379} }","mla":"Valentine, Jason, et al. “Three-Dimensional Optical Metamaterial with a Negative Refractive Index.” <i>Nature</i>, vol. 455, no. 7211, Springer Nature, 2008, pp. 376–79, doi:<a href=\"https://doi.org/10.1038/nature07247\">10.1038/nature07247</a>.","short":"J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D.A. Genov, G. Bartal, X. Zhang, Nature 455 (2008) 376–379.","apa":"Valentine, J., Zhang, S., Zentgraf, T., Ulin-Avila, E., Genov, D. A., Bartal, G., &#38; Zhang, X. (2008). Three-dimensional optical metamaterial with a negative refractive index. <i>Nature</i>, <i>455</i>(7211), 376–379. <a href=\"https://doi.org/10.1038/nature07247\">https://doi.org/10.1038/nature07247</a>"},"year":"2008","volume":455,"date_created":"2018-03-23T12:37:40Z","author":[{"first_name":"Jason","full_name":"Valentine, Jason","last_name":"Valentine"},{"last_name":"Zhang","full_name":"Zhang, Shuang","first_name":"Shuang"},{"first_name":"Thomas","last_name":"Zentgraf","orcid":"0000-0002-8662-1101","full_name":"Zentgraf, Thomas","id":"30525"},{"first_name":"Erick","full_name":"Ulin-Avila, Erick","last_name":"Ulin-Avila"},{"first_name":"Dentcho A.","full_name":"Genov, Dentcho A.","last_name":"Genov"},{"full_name":"Bartal, Guy","last_name":"Bartal","first_name":"Guy"},{"first_name":"Xiang","full_name":"Zhang, Xiang","last_name":"Zhang"}],"publisher":"Springer Nature","date_updated":"2022-01-06T06:53:10Z","doi":"10.1038/nature07247","title":"Three-dimensional optical metamaterial with a negative refractive index","publication":"Nature","type":"journal_article","status":"public","department":[{"_id":"15"},{"_id":"230"}],"user_id":"30525","_id":"1738"},{"type":"journal_article","publication":"Applied Physics B","status":"public","user_id":"30525","department":[{"_id":"15"},{"_id":"230"}],"_id":"1739","issue":"1","publication_status":"published","publication_identifier":{"issn":["0946-2171","1432-0649"]},"citation":{"ama":"Meyrath TP, Zentgraf T, Rockstuhl C, Giessen H. Electromagnetic induction in metamaterials. <i>Applied Physics B</i>. 2008;93(1):107-110. doi:<a href=\"https://doi.org/10.1007/s00340-008-3207-z\">10.1007/s00340-008-3207-z</a>","ieee":"T. P. Meyrath, T. Zentgraf, C. Rockstuhl, and H. Giessen, “Electromagnetic induction in metamaterials,” <i>Applied Physics B</i>, vol. 93, no. 1, pp. 107–110, 2008.","chicago":"Meyrath, T. P., Thomas Zentgraf, C. Rockstuhl, and H. Giessen. “Electromagnetic Induction in Metamaterials.” <i>Applied Physics B</i> 93, no. 1 (2008): 107–10. <a href=\"https://doi.org/10.1007/s00340-008-3207-z\">https://doi.org/10.1007/s00340-008-3207-z</a>.","bibtex":"@article{Meyrath_Zentgraf_Rockstuhl_Giessen_2008, title={Electromagnetic induction in metamaterials}, volume={93}, DOI={<a href=\"https://doi.org/10.1007/s00340-008-3207-z\">10.1007/s00340-008-3207-z</a>}, number={1}, journal={Applied Physics B}, publisher={Springer Nature}, author={Meyrath, T. P. and Zentgraf, Thomas and Rockstuhl, C. and Giessen, H.}, year={2008}, pages={107–110} }","short":"T.P. Meyrath, T. Zentgraf, C. Rockstuhl, H. Giessen, Applied Physics B 93 (2008) 107–110.","mla":"Meyrath, T. P., et al. “Electromagnetic Induction in Metamaterials.” <i>Applied Physics B</i>, vol. 93, no. 1, Springer Nature, 2008, pp. 107–10, doi:<a href=\"https://doi.org/10.1007/s00340-008-3207-z\">10.1007/s00340-008-3207-z</a>.","apa":"Meyrath, T. P., Zentgraf, T., Rockstuhl, C., &#38; Giessen, H. (2008). Electromagnetic induction in metamaterials. <i>Applied Physics B</i>, <i>93</i>(1), 107–110. <a href=\"https://doi.org/10.1007/s00340-008-3207-z\">https://doi.org/10.1007/s00340-008-3207-z</a>"},"intvolume":"        93","page":"107-110","year":"2008","author":[{"last_name":"Meyrath","full_name":"Meyrath, T. P.","first_name":"T. 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J. F.","first_name":"O. J. F."},{"first_name":"Thomas","full_name":"Zentgraf, Thomas","id":"30525","last_name":"Zentgraf","orcid":"0000-0002-8662-1101"},{"full_name":"KUHL, J.","last_name":"KUHL","first_name":"J."},{"first_name":"C.","full_name":"BAUER, C.","last_name":"BAUER"},{"last_name":"GIESSEN","full_name":"GIESSEN, H.","first_name":"H."},{"full_name":"TIKHODEEV, S. G.","last_name":"TIKHODEEV","first_name":"S. G."}],"date_created":"2018-03-23T12:40:11Z","volume":229,"publisher":"Wiley-Blackwell","date_updated":"2022-01-06T06:53:11Z","citation":{"ama":"CHRIST A, LÉVÊQUE G, MARTIN OJF, et al. Near-field–induced tunability of surface plasmon polaritons in composite metallic nanostructures. <i>Journal of Microscopy</i>. 2008;229(2):344-353. doi:<a href=\"https://doi.org/10.1111/j.1365-2818.2008.01911.x\">10.1111/j.1365-2818.2008.01911.x</a>","ieee":"A. CHRIST <i>et al.</i>, “Near-field–induced tunability of surface plasmon polaritons in composite metallic nanostructures,” <i>Journal of Microscopy</i>, vol. 229, no. 2, pp. 344–353, 2008.","chicago":"CHRIST, A., G. LÉVÊQUE, O. J. F. MARTIN, Thomas Zentgraf, J. KUHL, C. BAUER, H. GIESSEN, and S. G. TIKHODEEV. “Near-Field–Induced Tunability of Surface Plasmon Polaritons in Composite Metallic Nanostructures.” <i>Journal of Microscopy</i> 229, no. 2 (2008): 344–53. <a href=\"https://doi.org/10.1111/j.1365-2818.2008.01911.x\">https://doi.org/10.1111/j.1365-2818.2008.01911.x</a>.","bibtex":"@article{CHRIST_LÉVÊQUE_MARTIN_Zentgraf_KUHL_BAUER_GIESSEN_TIKHODEEV_2008, title={Near-field–induced tunability of surface plasmon polaritons in composite metallic nanostructures}, volume={229}, DOI={<a href=\"https://doi.org/10.1111/j.1365-2818.2008.01911.x\">10.1111/j.1365-2818.2008.01911.x</a>}, number={2}, journal={Journal of Microscopy}, publisher={Wiley-Blackwell}, author={CHRIST, A. and LÉVÊQUE, G. and MARTIN, O. J. F. and Zentgraf, Thomas and KUHL, J. and BAUER, C. and GIESSEN, H. and TIKHODEEV, S. G.}, year={2008}, pages={344–353} }","short":"A. CHRIST, G. LÉVÊQUE, O.J.F. MARTIN, T. Zentgraf, J. KUHL, C. BAUER, H. GIESSEN, S.G. TIKHODEEV, Journal of Microscopy 229 (2008) 344–353.","mla":"CHRIST, A., et al. “Near-Field–Induced Tunability of Surface Plasmon Polaritons in Composite Metallic Nanostructures.” <i>Journal of Microscopy</i>, vol. 229, no. 2, Wiley-Blackwell, 2008, pp. 344–53, doi:<a href=\"https://doi.org/10.1111/j.1365-2818.2008.01911.x\">10.1111/j.1365-2818.2008.01911.x</a>.","apa":"CHRIST, A., LÉVÊQUE, G., MARTIN, O. J. F., Zentgraf, T., KUHL, J., BAUER, C., … TIKHODEEV, S. G. (2008). Near-field–induced tunability of surface plasmon polaritons in composite metallic nanostructures. <i>Journal of Microscopy</i>, <i>229</i>(2), 344–353. <a href=\"https://doi.org/10.1111/j.1365-2818.2008.01911.x\">https://doi.org/10.1111/j.1365-2818.2008.01911.x</a>"},"intvolume":"       229","page":"344-353","year":"2008","issue":"2","publication_status":"published","publication_identifier":{"issn":["0022-2720","1365-2818"]},"user_id":"30525","department":[{"_id":"15"},{"_id":"230"}],"_id":"1741","status":"public","type":"journal_article","publication":"Journal of Microscopy"},{"title":"Resonances in complementary metamaterials and nanoapertures","doi":"10.1364/oe.16.002080","publisher":"The Optical Society","date_updated":"2022-01-06T06:53:11Z","author":[{"last_name":"Rockstuhl","full_name":"Rockstuhl, Carsten","first_name":"Carsten"},{"full_name":"Zentgraf, Thomas","id":"30525","last_name":"Zentgraf","orcid":"0000-0002-8662-1101","first_name":"Thomas"},{"first_name":"Todd P.","last_name":"Meyrath","full_name":"Meyrath, Todd P."},{"first_name":"Harald","full_name":"Giessen, Harald","last_name":"Giessen"},{"full_name":"Lederer, Falk","last_name":"Lederer","first_name":"Falk"}],"date_created":"2018-03-23T12:40:39Z","volume":16,"year":"2008","citation":{"ama":"Rockstuhl C, Zentgraf T, Meyrath TP, Giessen H, Lederer F. Resonances in complementary metamaterials and nanoapertures. <i>Optics Express</i>. 2008;16(3). doi:<a href=\"https://doi.org/10.1364/oe.16.002080\">10.1364/oe.16.002080</a>","chicago":"Rockstuhl, Carsten, Thomas Zentgraf, Todd P. Meyrath, Harald Giessen, and Falk Lederer. “Resonances in Complementary Metamaterials and Nanoapertures.” <i>Optics Express</i> 16, no. 3 (2008). <a href=\"https://doi.org/10.1364/oe.16.002080\">https://doi.org/10.1364/oe.16.002080</a>.","ieee":"C. Rockstuhl, T. Zentgraf, T. P. Meyrath, H. Giessen, and F. 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Transition from thin-film to bulk properties of metamaterials. <i>Physical Review B</i>. 2008;77(3). doi:<a href=\"https://doi.org/10.1103/physrevb.77.035126\">10.1103/physrevb.77.035126</a>","chicago":"Rockstuhl, Carsten, Thomas Paul, Falk Lederer, Thomas Pertsch, Thomas Zentgraf, Todd P. Meyrath, and Harald Giessen. “Transition from Thin-Film to Bulk Properties of Metamaterials.” <i>Physical Review B</i> 77, no. 3 (2008). <a href=\"https://doi.org/10.1103/physrevb.77.035126\">https://doi.org/10.1103/physrevb.77.035126</a>.","ieee":"C. Rockstuhl <i>et al.</i>, “Transition from thin-film to bulk properties of metamaterials,” <i>Physical Review B</i>, vol. 77, no. 3, 2008.","bibtex":"@article{Rockstuhl_Paul_Lederer_Pertsch_Zentgraf_Meyrath_Giessen_2008, title={Transition from thin-film to bulk properties of metamaterials}, volume={77}, DOI={<a href=\"https://doi.org/10.1103/physrevb.77.035126\">10.1103/physrevb.77.035126</a>}, number={3}, journal={Physical Review B}, publisher={American Physical Society (APS)}, author={Rockstuhl, Carsten and Paul, Thomas and Lederer, Falk and Pertsch, Thomas and Zentgraf, Thomas and Meyrath, Todd P. and Giessen, Harald}, year={2008} }","mla":"Rockstuhl, Carsten, et al. “Transition from Thin-Film to Bulk Properties of Metamaterials.” <i>Physical Review B</i>, vol. 77, no. 3, American Physical Society (APS), 2008, doi:<a href=\"https://doi.org/10.1103/physrevb.77.035126\">10.1103/physrevb.77.035126</a>.","short":"C. Rockstuhl, T. Paul, F. Lederer, T. Pertsch, T. Zentgraf, T.P. 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