717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07

Page 1 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=1' data-page='1' class='cut-thumb lazyload' alt='Page 1: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/1.jpg' width='140' height='200' /> http://arxiv.org/abs/astro-ph/0303072

Page 2 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=2' data-page='2' class='cut-thumb lazyload' alt='Page 2: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/2.jpg' width='140' height='200' /> Page 3 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=3' data-page='3' class='cut-thumb lazyload' alt='Page 3: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/3.jpg' width='140' height='200' /> Page 4 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=4' data-page='4' class='cut-thumb lazyload' alt='Page 4: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/4.jpg' width='140' height='200' /> Page 5 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=5' data-page='5' class='cut-thumb lazyload' alt='Page 5: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/5.jpg' width='140' height='200' /> http://sci.esa.int/planck/51555-planck-power-spectrum-of-temperature-fluctuations-in-the-cosmic-microwave-background/

http://arxiv.org/abs/astro-ph/0303072

Page 6 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=6' data-page='6' class='cut-thumb lazyload' alt='Page 6: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/6.jpg' width='140' height='200' /> Page 7 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=7' data-page='7' class='cut-thumb lazyload' alt='Page 7: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/7.jpg' width='140' height='200' /> http://arxiv.org/pdf/hep-ph/0312378.pdf

Page 8 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=8' data-page='8' class='cut-thumb lazyload' alt='Page 8: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/8.jpg' width='140' height='200' /> Page 9 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=9' data-page='9' class='cut-thumb lazyload' alt='Page 9: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/9.jpg' width='140' height='200' /> Page 10 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=10' data-page='10' class='cut-thumb lazyload' alt='Page 10: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/10.jpg' width='140' height='200' /> Page 11 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=11' data-page='11' class='cut-thumb lazyload' alt='Page 11: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/11.jpg' width='140' height='200' /> http://pdg.lbl.gov/2015/reviews/rpp2015-rev-bbang-nucleosynthesis.pdf

Page 12 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=12' data-page='12' class='cut-thumb lazyload' alt='Page 12: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/12.jpg' width='140' height='200' /> Page 13 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=13' data-page='13' class='cut-thumb lazyload' alt='Page 13: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/13.jpg' width='140' height='200' /> Page 14 <img data-url='document/717-2018-lec-23-causality-cmb-gravity-waves-djchungphys717717-sw-dkk2-2cs-.html?page=14' data-page='14' class='cut-thumb lazyload' alt='Page 14: 717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader035.cupdf.com/reader035/viewer/2022071001/5fbe3431eb4eb364cc17d679/html5/thumbnails/14.jpg' width='140' height='200' />

717-2018-Lec 23 causality CMB gravity-wavesdjchung/phys717/717...sw dkk2 2cs ) k —k2 k2 2k + xlJ(k, ) cos exp 5000 3000 2000 1000 180 Multipole moment, 500 1000 1500 0.26 2000 0.07

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