Question
This number results from applying a quantum state’s ket to its corresponding bra. QED is an abelian gauge theory that is described by a unitary group of this degree. Vector bosons like gluons and photons must have spins equal to this number. To obey the Born rule, the integral of the product of the wavefunction and its complex conjugate must equal this number. The Lyman series corresponds to setting n_1 (“n-sub-one”) equal to this number in the Rydberg formula, which describes an atom with this many protons. This number is the atomic number of the only element with analytic solutions. For 10 points, give this number of protons found in a hydrogen atom. ■END■
ANSWER: one [accept U(1)]
<Physics>
= Average correct buzz position
Summary
| 2024 ACF Fall at Cornell | fall | Y | 10 | 100% | 0% | 0% | 88.40 |
| 2024 ACF Fall at Ohio State | fall | Y | 8 | 100% | 0% | 38% | 97.75 |
| 2024 ACF Fall at Washington | fall | Y | 1 | 100% | 0% | 100% | 112.00 |
| 2024 ACF Fall at Georgia | fall | Y | 12 | 100% | 0% | 8% | 78.33 |
| 2024 ACF Fall at North Carolina | fall | Y | 9 | 100% | 0% | 22% | 85.44 |
| 2024 ACF Fall at Claremont Colleges | fall | Y | 5 | 100% | 0% | 0% | 42.00 |
| 2024 ACF Fall at Rutgers | fall | Y | 8 | 100% | 0% | 25% | 70.25 |
| 2024 ACF Fall at Illinois | fall | Y | 9 | 100% | 0% | 56% | 77.44 |
Buzzes
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Fish Tsai (DII) | UCSD | UCLA B | 12 | 10 |
| Ishaan Singh | Purdue B | Iowa B | 12 | -5 |
| Ezra Santos | Chicago A | WashU A | 13 | 10 |
| Alex Chen (DII) | Claremont C | UCLA E | 17 | 10 |
| Alec Riso | Cornell D | Binghamton A | 18 | 10 |
| Maya Kvaratskhelia | Notre Dame A | Northwestern A | 18 | 10 |
| Dennis Yang (DII) | Michigan A (UG) | West Virginia B (UG) | 25 | -5 |
| Vivian Fan (DII) | Claremont A | UCLA A | 28 | 10 |
| Sidhant Chaliha (DII) | Princeton A (UG) | Maryland B (DII) | 28 | 10 |
| Matthew Westley | Purdue A | Iowa A | 28 | -5 |
| Parker McCoig | Tennessee A | Alabama A | 34 | 10 |
| Jason Qin (DII) | Columbia J (DII) | Rutgers A (UG) | 39 | -5 |
| Neilesh Shroti (UG) | Columbia B | Maryland A (DII) | 40 | 10 |
| Nayel Tekle | Cornell B | Binghamton B | 41 | 10 |
| Mohamed Musa (DII) | Ohio State C (DII) | CWRU B (DII) | 41 | -5 |
| Yuki Brown (DII) | Miami B (UG) | West Virginia A (UG) | 41 | -5 |
| Asheton Wilbanks | Clemson A | Georgia Tech B | 41 | 10 |
| Henry Bylinowski | Auburn A | South Carolina A | 41 | 10 |
| Henry Bylinowski | Auburn A | South Carolina A | 41 | 10 |
| Nathan Whittington | Tennessee B | Emory Oxford | 41 | 10 |
| Andrea Owusu | Duke A | Appalachian State B | 41 | -5 |
| Albert Li | Duke B | UNC D | 41 | 10 |
| Leonard Castine (DII) | Penn B (DII) | Bard A (UG) | 45 | -5 |
| Samay Math | WashU B | Indiana | 46 | -5 |
| Srivishnu Vusirikala | Illinois D | Notre Dame B | 46 | -5 |
| Rafeed Rahman Turjya | Georgia A | Furman | 53 | -5 |
| Malachi Ledford | Tusculum | Virginia | 54 | 10 |
| Mary Scheidel | Fordham A | Columbia A (UG) | 56 | 10 |
| Stephen Barstys (UG) | Michigan B (UG) | Ohio State A (UG) | 59 | 10 |
| Justin Reeves | VCU | Virginia Tech A | 60 | 10 |
| Galen Song | Illinois C | Northwestern B | 60 | 10 |
| Connor Kahn | NC State | Liberty B | 62 | -5 |
| Vincent Zhang (DII) | Penn A (DII) | NYU B | 62 | 10 |
| Tai Belke | UBC A | UW Wrath | 65 | -5 |
| Karthik Krishnamurthy (DII) | USC | UCLA C | 68 | 10 |
| Veronica Freund | Notre Dame B | Illinois D | 68 | 10 |
| Alex Lin (DII) | Rutgers B | Lehigh A (UG) | 69 | 10 |
| Emmett Cho | Chicago B | Notre Dame C | 84 | -5 |
| Brian Chen | Cornell G | Cornell A | 85 | 10 |
| Jonathan Zhang | Cornell F | Binghamton C | 85 | 10 |
| Peter Zeng (DII) | Ohio State B (DII) | Michigan C | 85 | 10 |
| Henry Nonnemaker (DII) | CWRU A (UG) | Jefferson County Scholars (DII) | 85 | 10 |
| Samuel Li | William & Mary | Liberty A | 85 | 10 |
| Ishan Pachauri (DII) | UCLA D | Claremont B | 85 | 10 |
| Jack Stuhlman (DII) | Lehigh B (DII) | NYU A (UG) | 85 | 10 |
| Aaron Taylor | Mississippi State A | Auburn C | 88 | 10 |
| Davis Johnson | Purdue C | SIUE | 90 | 10 |
| Ishaan Kashyap | Georgia Tech C | Emory A | 96 | 10 |
| Danny Cutbill | RIT A | Syracuse | 98 | 10 |
| Ansh Muthiyan | UNC B | Liberty C | 98 | 10 |
| Zachary Bornstein | Virginia Tech B | James Madison B | 98 | 10 |
| Matthew Kelley (DII) | Michigan D (UG) | CWRU C (UG) | 108 | 10 |
| Aidan Keenan | U of Rochester A | Cornell E | 110 | 10 |
| Jeffery Xu | Georgia Tech D | Vanderbilt A | 110 | 10 |
| Cameron Wiliams | Appalachian State A | James Madison A | 110 | 10 |
| Gregory Stone | ESF | RIT C | 111 | 10 |
| Daniel Luebs (DII) | Michigan State B | Miami C (DII) | 111 | 10 |
| Anthony Yin (DII) | CWRU B (DII) | Ohio State C (DII) | 111 | 10 |
| Michaela Ford (UG) | West Virginia B (UG) | Michigan A (UG) | 111 | 10 |
| Gavin Bramer | Appalachian State B | Duke A | 111 | 10 |
| Emma Victoria Byron (DII) | Rutgers A (UG) | Columbia J (DII) | 111 | 10 |
| Greta Hong (DII) | Bard A (UG) | Penn B (DII) | 111 | 10 |
| Will Hoover | RIT B | Cornell C | 112 | 10 |
| Victor Bender | Penn State | U of Rochester B | 112 | 10 |
| Victor Bender | Penn State | U of Rochester B | 112 | 10 |
| Kate Merritt (UG) | West Virginia A (UG) | Miami B (UG) | 112 | 10 |
| Darrien Liang | UW Wrath | UBC A | 112 | 10 |
| Hayes Brown | Furman | Georgia A | 112 | 10 |
| Akajiugo Amucheazi | Southern | Auburn B | 112 | 0 |
| Sambodh Sinha | Vanderbilt B | South Carolina B | 112 | 10 |
| TJ Pickering | Auburn B | Southern | 112 | 10 |
| John Shields | Clemson B | Belmont | 112 | 10 |
| Jonathan Bost | Liberty B | NC State | 112 | 10 |
| Christopher Joseph | Notre Dame C | Chicago B | 112 | 10 |
| Brielle Rach | Iowa A | Purdue A | 112 | 10 |
| Abigail Zimmerman | Iowa B | Purdue B | 112 | 10 |
| Sanika Iyer | Indiana | WashU B | 112 | 10 |