One input to a formula developed by this physicist is half of the full width at half maximum of a Breit-Wigner distribution. In quantum metrology using a definition based on N probes, this scientist names a limit that assumes that precision scales 1/N and which can only be achieved in noiseless systems. A formula named for this physicist was generalized by Robertson for any arbitrary observables. One variation of that formula named for this physicist is used with (*) measured energy of a short-lived particle to characterize particle lifetime. Kennard refined a relation proposed by this physicist to set h-bar over 2 as the lower limit of the product of the standard deviations of position and momentum. For 10 points, name this German physicist who developed and typically names the uncertainty principle. ■END■
| 2025 Penn Bowl - Stanford | 10/25/25 | Y | 4 | 100% | 50% | 0% | 83.75 |
| 2025 Penn Bowl - Northwestern | 10/25/25 | Y | 4 | 100% | 25% | 0% | 93.25 |
| 2025 Penn Bowl - Mainsite (UPenn) | 11/01/25 | Y | 6 | 100% | 17% | 33% | 109.50 |
| 2025 Penn Bowl - BU | 11/01/25 | Y | 4 | 100% | 25% | 0% | 93.75 |
| 2025 Penn Bowl - CWRU | 11/01/25 | Y | 3 | 100% | 67% | 0% | 78.33 |
| 2025 Penn Bowl - UNC | 11/01/25 | Y | 2 | 100% | 0% | 0% | 115.00 |
| 2025 Penn Bowl - WashU | 11/01/25 | Y | 2 | 100% | 0% | 0% | 101.00 |
| 2025 Penn Bowl - Ottawa | 11/01/25 | Y | 7 | 100% | 29% | 0% | 92.43 |
| 2025 Penn Bowl - UK | 11/01/25 | Y | 9 | 100% | 22% | 0% | 95.22 |
| 2025 Penn Bowl - Online | 11/08/25 | Y | 2 | 100% | 0% | 0% | 106.50 |
| 2025 Penn Bowl - Murray State | 11/08/25 | Y | 2 | 100% | 0% | 0% | 122.50 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Daniel Hothem | In Search of Lost Clues | Stanford A | 41 | 15 |
| Colin Veevers | Ottawa 67s | Toronto Sunshine Bubbles | 47 | 15 |
| Aditya Patnaik | Ohio State A | Michigan B | 61 | 15 |
| Vivek Sasse | Hail to the Sheaf | Coughing Baby | 65 | 15 |
| Cade Reinberger | RIT | Harvard | 65 | 15 |
| Caleb Ott | Waterloo you are crooked | Toronto Murder on the Rider Express | 65 | 15 |
| Joseph Krol | To buzz is to be perceived | Penn and the Art of Tossup-Bonus cycle Maintenance | 66 | 15 |
| Jason Qin | Columbia A | Columbia B | 67 | 15 |
| Richard Niu | The best time to buzz was twenty clues ago. The second best time to buzz is now | Berkeley C | 67 | 15 |
| Pace Klein | CWRU | Pittsburgh | 67 | 15 |
| Matthew Westley | Purdue A | Northwestern A | 74 | 15 |
| Jerry Vinokurov | John Jay | JHU B | 79 | -5 |
| Rachel Bentham | question mark | Of Mice and Penn | 79 | 10 |
| Evan Lynch | Washed Scrubs | Knorr Stock Clue | 85 | 10 |
| Nathan Sheffield | MIT A | Yale | 85 | 10 |
| Aatreyo Bhattacharyya | abg academy | rusty shackleford | 86 | 10 |
| June Yin | WashU Kiki | Truman State | 87 | 10 |
| Andrew Wang | Illinois | UChicago A | 89 | 10 |
| Kunaal Chandrashekar | Toronto G | Guelph perfomative male competition | 95 | 10 |
| Brendan Bridle | Queen's is monitoring the situation | Toronto Operation PBSuccess | 98 | 10 |
| Beckett Pursey | Purdue B | Northwestern B | 99 | 10 |
| Gus Redding | The Bit and the Penndulum | Galactic Ombudsmen | 100 | 10 |
| Mason Yu | Brown | MIT B | 103 | 10 |
| Jacob Price | why is it called a score clue if nobody scores points on it | Quiztian Bale in Ratman Begins | 104 | 10 |
| Varun Sathyajeeth | Ohio State B | Michigan A | 107 | 10 |
| Daniel Ma | Mount Sinai | JHU A | 107 | 10 |
| Ben Hellman | Swarthmore | NYU B | 110 | 10 |
| Samarth Ram | UChicago B | UChicago C | 111 | 10 |
| Denali Tran-Le | McGill Fartlets | Toronto E | 111 | 10 |
| Rohan Shelke | Berkeley B | Stanford B | 112 | 10 |
| Asha Basu | McGill B | Aweille Kevin Fan osti continue comme ça | 113 | 10 |
| Matthew He | Texas B | Oklahoma | 114 | 10 |
| Aiden Bang | JHU B | John Jay | 115 | 10 |
| Shahar Schwartz | Free Win | Berkeley A | 115 | 10 |
| Matt Booth | Burnaburiash's Lapis Lazuli | Chimp Brisket | 115 | 10 |
| Noah Chin | VT A | UNC A | 115 | 10 |
| Paul Lee | WashU Bouba | VJ Edgecombe School of Interior Design - Edwardsville | 115 | 10 |
| Aditya Sharma | Wise Duke | UNC B | 115 | 10 |
| Ishan Joshi | #OpenToBuzz | Carleton A | 118 | 10 |
| Charlie Lowman | Paul Quifford, or, It Was a Dark and Stormy Tournament | 1. Wawa 2. Blank Street 151. Black Sheep at Kings Cross rail | 121 | 10 |
| Walter Zhang | I've been running into you in my lead plumbocene what could have benzene | Brandeis | 122 | 10 |
| Kevin Flanagan | Bristold | Alas poor Warwick, I knew him Edinburgh | 122 | 10 |
| Braxton Davis | New Young Whigs of America | Wake Up Paddington A Washington Mystery | 127 | 10 |
| Gus Vanskike | Maryland B | Maryland A | 129 | -5 |
| Patrick Torre | Maryland A | Maryland B | 129 | 10 |
| Ryan Rosenberg | NYU A | Maryland C | 129 | 10 |
| Brody Sadler | Central Oklahoma | Texas A | 131 | 10 |