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Science and Math News | Quanta Magazine

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href='https://www.quantamagazine.org/in-the-quantum-world-even-points-of-view-are-uncertain-20241122/'> <div class='relative'> <div class='image mx0 relative image--wide '> <div class='image__inner absolute fit-x is-loaded'> <img width="1720" height="728" src="https://www.quantamagazine.org/wp-content/uploads/2024/11/Quantum-Reference-Frames_crMichele-Sclafani-HP-2048-1720x728.webp" class="absolute fit-x fill-h fill-v mxa" alt="An illustration of a man with an apple and looking at his reflection, in which the apple has a bite taken out of it, evoking the way that quantum reference frames can affect the perceived order of events." decoding="async" fetchpriority="high" srcset="https://www.quantamagazine.org/wp-content/uploads/2024/11/Quantum-Reference-Frames_crMichele-Sclafani-HP-2048-1720x728.webp 1720w, https://www.quantamagazine.org/wp-content/uploads/2024/11/Quantum-Reference-Frames_crMichele-Sclafani-HP-2048-520x220.webp 520w, 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class='mb1 pb025 mt0 h6t pb075'> <a class="kicker theme__accent theme__text-hover uppercase" href="/tag/quantum-physics/">quantum physics</a> </div> <a href='https://www.quantamagazine.org/in-the-quantum-world-even-points-of-view-are-uncertain-20241122/'> <h3 class='noe mv0 h0 color-transition hover--orange'> In the Quantum World, Even Points of View Are Uncertain </h3> </a> <div class='hero-title__mobile flex flex-items-center mt075'> <div class='byline relative flex flex-items-start merriweather mv025 mr1 gray3 h6t theme__text-hover'> <em class='byline__by gray4 mr075'>By </em> <a href='https://www.quantamagazine.org/authors/anil-ananthaswamy/'> <span class='byline__author uppercase kern light small'>Anil Ananthaswamy</span> </a> </div> <span class='ml05 mr075 o2 mt0 bold h5'>―</span> <div class='comments-button mr05 flex flex-items-center theme__accent-hover h5 theme__accent' data-name='comment-bubble' > <a href='https://www.quantamagazine.org/in-the-quantum-world-even-points-of-view-are-uncertain-20241122/#comments' class='flex flex-items-center pangram'> <svg viewbox='0 0 50 50' enable-background='new 0 0 50 50' xmlns='http://www.w3.org/2000/svg' class='o2'><title>Comment</title><path fill='currentColor' d='M9.4 4.2h31.2c8.6 0 9.4 7 9.4 15.6s-.7 15.6-9.4 15.6h-2.2l-.9 9.4-18.8-9.4H9.4c-8.6 0-9.4-7-9.4-15.6S.7 4.2 9.4 4.2z'></path></svg> <div> <span class='comments-button__count ml075 small mbold disqus-comment-count' data-disqus-identifier='144344 https://www.quantamagazine.org/?p=144344'></span> </div> </a> </div> </div> <div class='p mv05 italic o4 wysiwyg post__title__excerpt'> <p> The reference frames from which observers view quantum events can themselves have multiple possible locations at once — an insight with potentially major ramifications. </p> </div> <div class='mb0 mt1 flex flex-items-center'> <div class='flex flex-items-center h5'> <a class='flex pangram bold mr1 mb025 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M22.5,28.2c-2.1-1-3.3-2.8-3.3-5.3c0-2.2,1.2-4.1,3.3-5.2c1.3-0.7,3.7-0.7,5,0c1.5,0.8,2.6,2.2,3.1,3.7C32,26.2,27,30.3,22.5,28.2 L22.5,28.2z"></path></svg></div> <div class='h6 kern--s pangram uppercase bold gray3 pl05'> APPLE </div> </a> <a href='https://open.spotify.com/show/2FoxHraQSKwxV2HgUfwLMp' target='_blank' class='flex flex-items-center pr1 three--ms-max mb1-ms-max'> <div class='icon-button inline-block relative pointer '> <div class='absolute fit-x mxa o2 theme__accent-hover hover:opacity-100 '> </div> <svg class="icon absolute fit-x mxa theme__accent" viewbox="0 0 50 50" enable-background="new 0 0 50 50"><path fill="currentColor" d="M25,0C11.2,0,0,11.2,0,25c0,13.8,11.2,25,25,25c13.8,0,25-11.2,25-25C50,11.2,38.8,0,25,0L25,0L25,0z M36.5,36.1c-0.4,0.7-1.4,1-2.1,0.5c-5.9-3.6-13.3-4.4-22-2.4c-0.8,0.2-1.7-0.3-1.9-1.2c-0.2-0.8,0.3-1.7,1.2-1.9 c9.5-2.2,17.7-1.2,24.3,2.8C36.7,34.4,36.9,35.3,36.5,36.1L36.5,36.1z M39.5,29.2c-0.6,0.9-1.8,1.2-2.7,0.6 c-6.7-4.1-17-5.3-24.9-2.9c-1,0.3-2.1-0.3-2.4-1.3c-0.3-1,0.3-2.1,1.3-2.4c9.1-2.8,20.4-1.4,28.1,3.3C39.8,27.1,40.1,28.3,39.5,29.2 L39.5,29.2L39.5,29.2z M39.8,22.2c-8.1-4.8-21.3-5.2-29-2.9c-1.2,0.4-2.5-0.3-2.9-1.6c-0.4-1.2,0.3-2.5,1.6-2.9 c8.8-2.7,23.5-2.2,32.8,3.3c1.1,0.7,1.5,2.1,0.8,3.2C42.3,22.5,40.9,22.8,39.8,22.2L39.8,22.2L39.8,22.2z"></path></svg></div> <div class='h6 kern--s pangram uppercase bold gray3 pl05'> SPOTIFY </div> </a> <a href='https://dts.podtrac.com/redirect.mp3/dovetail.prxu.org/5340/dd5eb7bb-6cef-48b0-bb23-85feab6cba78/JOW_-_Bird_Song_and_Speech_FINAL_SEG_A.mp3' target='_blank' class='flex-align-self-start mla'> <div class='icon-button inline-block relative pointer bg-gray1 circ'> <div class='absolute fit-x mxa o2 white theme__accent-hover hover:opacity-100'> </div> <svg class="icon-s absolute fit-x mxa theme__accent" viewbox="0 0 50 50" enable-background="new 0 0 50 50"><path fill="currentColor" d="M38.6 27l-3.2-4-8.4 6.8V0h-5v29.8L13.6 23l-3.2 4 14.1 11.2M2 45h45v5H2z"></path></svg></div> </a> </div> </div> </div> <div class='card__excerpt h5 mt025 pangram o6'> <p>We often consider spoken language to be a feature that distinguishes humans from other forms of animal life. Brain research, however, suggests that other creatures — including certain birds — share some of our neural circuitry related to language. In this episode, co-host Janna Levin explores the origins and underlying mechanisms of human speech and birdsong with neurobiologist and geneticist Erich Jarvis. </p> </div> </div> </div> <div class='ff__more fill-h mt05 '> <hr class='black o2'> <div class='h4t theme__accent theme__text-hover transition--color mt1 mb0'> <a href='/tag/the-joy-of-why'>More episodes</a> </div> </div> </div> </aside> </section> </div> </section> <section class="hero--middle hero relative fill-h is-hover"> <a href="https://www.quantamagazine.org/new-elliptic-curve-breaks-18-year-old-record-20241111/" data-toggle-hover="hero--middle"> <div class="image mx0 relative image--wide"> <div class="image__inner absolute fit-x is-loaded"> <img class="absolute fit-x fill-h fill-v mxa" alt="" src="https://www.quantamagazine.org/wp-content/uploads/2024/11/EllipticCurveRecord_crDanielGarcia-HP-2048x868-1.webp"> </div> </div> </a> <section class="outer"> <div class="hero__card align-c mha relative mha container--s"> <div class="hero__card__inner pv2 ph2 bg-white relative z1"> <div class="mb1 pb025 mt0 h6t pb025"> </div> <h3 class="hero__card__title mv05 noe h1t" data-toggle-hover="hero--middle"> <a href="https://www.quantamagazine.org/new-elliptic-curve-breaks-18-year-old-record-20241111/"> New Elliptic Curve Breaks 18-Year-Old Record </a> </h3> <div class="mb05 mt075 flex flex-items-center flex-justify-center"> <div class='byline relative flex flex-items-start merriweather mv025 mr1 gray3 h6t theme__text-hover'> <em class='byline__by gray4 mr075'>By </em> <a href='/authors/josephhowlett'> <span class='byline__author uppercase kern light small'>Joseph Howlett</span> </a> </div> <div class="h6 flex flex-items-center"> <span class="o-divider o-divider--horizontal ml05 mr1 relative"></span> <div class="comments-button mr05 flex flex-items-center h6 theme__text theme__accent-hover"> <a class="flex flex-items-center pangram" 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c3.9,0,7.2,1.4,9.8,3.8l-4,3.8c-1.1-1-3-2.2-5.8-2.2c-5,0-9,4.1-9,9.2c0,5.1,4.1,9.2,9,9.2c5.8,0,7.9-4.1,8.3-6.3h-8.3v-5H28.4z M43.8,22.9l0-6.2l-4.2,0l0,6.2l-6.2,0l0,4.2l6.2,0l0,6.2l4.2,0l0-6.2l6.2,0l0-4.2L43.8,22.9z'></path></svg> <span>Connect with Google</span> </button> </a> </div> </div> <div class='login-modal__center'> <span class='login-modal__center__or gray2 italic mbold'>or</span> </div> <div class='login-modal__right'> <form class='login-form'> <div class='input-container'> <input type='email' name='login_email' id='login_email' value='' class='' autocomplete='off' required> <label for='login_email' data-label='email'>email</label> </div> <div class='input-container'> <input type='password' name='login_password' id='login_password' value='' class='' required> <label for='login_password' data-label='password'>password</label> </div> <div class='checkbox-container'> <input type='checkbox' value='login_remember' id='login_remember' name='login_remember' readonly checked> <i class='psuedo-checkbox'></i> <label for='login_remember'>Remember me</label> </div> <div class='login-modal__submit'> <input type='submit' class='button login__submit orange mr1' value='Log in' disabled> <p class='theme__accent link scale5 pangram inline medium color-transition hover--black' data-function='trigger' data-name='forgot-password'> <span class='no-wrap' aria-haspopup='dialog'>Forgot your password ?</span> <svg class='icon ml05 icon icon-offset' viewbox='0 0 50 50' enable-background='new 0 0 50 50'><path fill='currentColor' d='M50 25l-17.4-8.7v6.5H0v4.4h32.6v6.5'></path></svg> </p> </div> </form> </div> </div> <div class='login__signup fill-h align-c h4 pangram bold'>Don't have an account yet? <span class='theme__accent link no-wrap color-transition hover--black' aria-haspopup='dialog' data-function='trigger' data-name='sign-up'> Sign up</span> </div> </div> </div> </div> </section> <section class='modal-portal hidden ' data-function='toggle' data-name='forgot-password'> <div class='modal flex forgot-password flex-items-start'> <div class='modal__overlay fixed inset-0 z-0'> </div> <div class='modal__content bg-white mha is-open is-visible relative size--small'> <div class='modal__close align-r pt1 pr1 absolute fit-r fit-t z10 transition--color theme__accent theme__text-hover'> <button class='px1' data-function='trigger' data-name='forgot-password'> <svg class="icon inline-block" x="0px" y="0px" viewbox="0 0 50 50" enable-background="new 0 0 50 50" xml:space="preserve"><title>Close</title><path fill="currentColor" d="M29.8,25l19.6,19.6l-4.8,4.8L25,29.8L5.4,49.4l-4.8-4.8L20.2,25L0.6,5.4l4.8-4.8L25,20.2L44.6,0.6l4.8,4.8L29.8,25z"></path></svg> </button> </div> <div class='forgot-password-modal align-l' role='dialog' aria-labelledby='forgot-password-dialog-title'> <div class='forgot-password-modal__inner'> <div class='noe h0 mt0 mb025' id='forgot-password-dialog-title'>Forgot your password?</div> <p class='italic gray4 mt0'>We’ll email you instructions to reset your password</p> </div> <div class='modal__error fill-h px2 mb2 theme__accent bg-gray1 h5 pangram uppercase kern align-c medium hidden'> <div class='forgot-password-modal__inner'></div> </div> <div class='forgot-password-message'></div> <div class='forgot-password-modal__inner'> <form class='forgot-password-form'> <div class='input-container'> <input type='email' name='forgot_password_email' id='forgot_password_email' value='' required> <label for='forgot_password_email' data-label='email'>email</label> </div> <input type='submit' class='login__submit button orange' value='Send' disabled> </form> </div> </div> </div> </div> </section> <section class='modal-portal hidden ' data-function='toggle' data-name='reset-password'> <div class='modal flex reset-password flex-items-start'> <div class='modal__overlay fixed inset-0 z-0'> </div> <div class='modal__content bg-white mha is-open is-visible relative size--small'> <div class='modal__close align-r pt1 pr1 absolute fit-r fit-t z10 transition--color theme__accent theme__text-hover'> <button class='px1' data-function='trigger' data-name='reset-password'> <svg class="icon inline-block" x="0px" y="0px" viewbox="0 0 50 50" enable-background="new 0 0 50 50" xml:space="preserve"><title>Close</title><path fill="currentColor" d="M29.8,25l19.6,19.6l-4.8,4.8L25,29.8L5.4,49.4l-4.8-4.8L20.2,25L0.6,5.4l4.8-4.8L25,20.2L44.6,0.6l4.8,4.8L29.8,25z"></path></svg> </button> </div> <div class='reset-password-modal align-l'> <div class='reset-password-modal__inner'> <div class='noe h0 mt0 mb025'>Change your password</div> <p class='italic gray4 mt0'>Enter your new password</p> </div> <div class='reset-password-message'></div> <div class='modal__error fill-h px2 mb2 theme__accent bg-gray1 h5 pangram uppercase kern hidden'> <div class='reset-password-modal__inner'></div> </div> <div class='reset-password-modal__inner'> <form class='reset-password-form'> <div class='input-container'> <input type='password' name='new_password' id='new_password' value='' class='password' required> <label for='new_password' data-label='Password'>Password</label> </div> <div class='input-container'> <input type='password' name='new_password_verify' id='new_password_verify' value='' class='password-verify' required> <label for='new_password_verify' data-label='Retype new password'>Retype new password</label> </div> <input type='submit' class='login__submit button orange' value='Send' disabled> </form> </div> </div> </div> </div> </section> <section class='modal-portal hidden ' data-function='toggle' data-name='sign-up'> <div class='modal flex sign-up flex-items-start'> <div class='modal__overlay fixed inset-0 z-0'> </div> <div class='modal__content bg-white mha is-open is-visible relative size--small'> <div class='modal__close align-r pt1 pr1 absolute fit-r fit-t z10 transition--color theme__accent theme__text-hover'> <button class='px1' data-function='trigger' data-name='sign-up'> <svg class="icon inline-block" x="0px" y="0px" 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