We report JWST MIRI MRS observations of the $\beta$ Pictoris moving group member, $\eta$ Telescopii ($\eta$ Tel) A and its brown dwarf binary companion, $\eta$ Tel B. Following PSF subtraction, we recover the spatially resolved flux from the debris disk around $\eta$ Tel A, along with the position of the companion exterior to the disk. We present a new 5-26 $\mu$m epoch of spectroscopy for the disk, in which we discover a 20 $\mu$m silicate feature. We also present the first ever 11-21 $\mu$m spectrum of $\eta$ Tel B, which indicates a bare photosphere. We derive a new epoch of relative astrometry for the companion, extending the baseline of measurements to 25 years, and find that its current location is consistent with the apocentre of an eccentric, long-period orbit. The companion's orbit is close enough to the disk that it should significantly perturb the planetesimals within it, resulting in a detectable mid-IR pericentre glow and near-alignment with the companion. Contrary to expectations, however, we find that the disk appears to be axisymmetric and potentially misaligned with the companion in the MIRI MRS data. We posit that this may be due to the presence of an additional, yet-undetected 0.7-30 $M_J$ planet orbiting interior to the disk with a semi-major axis of 3-19 au.

Yiwei Chai Christine H. Chen Kadin Worthen Alexis Li Antranik Sefilian William Balmer Dean C. Hines David R. Law B. A. Sargent Mark Wyatt Cicero X. Lu Marshall D. Perrin Isabel Rebollido Emily Rickman G. C. Sloan

Debris disks are exoplanetary systems that contain planets, minor bodies (i.e., asteroids, Kuiper belt objects, comets, etc.), and micron-sized debris dust. Since water ice is the most common frozen volatile, it plays an essential role in the formation of planets and minor bodies. Although water ice has been commonly found in Kuiper belt objects and comets in the Solar System, no definitive evidence for water ice in debris disks has been obtained to date. Here, we report the discovery of water ice in the HD 181327 disk using the James Webb Space Telescope Near-Infrared Spectrograph. We detect the solid-state broad absorption feature of water ice at 3 $\mu$m and a distinct Fresnel peak feature at 3.1 $\mu$m, a characteristic of large water-ice particles. This implies the presence of a water-ice reservoir in the HD 181327 exoKuiper belt. Gradients of water-ice features at different stellocentric distances reveal a dynamic process of destroying and replenishing water ice in the disk, with estimated water-ice mass fractions ranging from 0.1% at ~85 au to 14% at ~113 au. It is highly plausible that the icy bodies that release water ice in HD 181327 could be the extra-solar counterparts of some of the Kuiper belt objects in our Solar System, supported by their spectral similarity.

Chen Xie Christine H. Chen Carey M. Lisse Dean C. Hines Tracy Beck Sarah K. Betti Noemí Pinilla-Alonso Carl Ingebretsen Kadin Worthen András Gáspár Schuyler G. Wolff Bryce T. Bolin Laurent Pueyo Marshall D. Perrin John A. Stansberry Jarron M. Leisenring

We present the first spatially resolved scattered-light images of four debris disks around members of the Scorpius-Centaurus (Sco-Cen) OB Association with high-contrast imaging and polarimetry using the Gemini Planet Imager (GPI). All four disks are resolved for the first time in polarized light and one disk is also detected in total intensity. The three disks imaged around HD 111161, HD 143675, and HD 145560 are symmetric in both morphology and brightness distribution. The three systems span a range of inclinations and radial extents. The disk imaged around HD 98363 shows indications of asymmetries in morphology and brightness distribution, with some structural similarities to the HD 106906 planet-disk system. Uniquely, HD 98363 has a wide co-moving stellar companion Wray 15-788 with a recently resolved disk with very different morphological properties. HD 98363 A/B is the first binary debris disk system with two spatially resolved disks. All four targets have been observed with ALMA, and their continuum fluxes range from one non-detection to one of the brightest disks in the region. With the new results, a total of 15 A/F-stars in Sco-Cen have resolved scattered light debris disks, and approximately half of these systems exhibit some form of asymmetry. Combining the GPI disk structure results with information from the literature on millimeter fluxes and imaged planets reveals a diversity of disk properties in this young population. Overall, the four newly resolved disks contribute to the census of disk structures measured around A/F-stars at this important stage in the development of planetary systems.

Justin Hom Jennifer Patience Thomas M. Esposito Gaspard Duchêne Kadin Worthen Paul Kalas Hannah Jang-Condell Kezman Saboi Pauline Arriaga Johan Mazoyer Schuyler Wolff Maxwell A. Millar-Blanchaer Michael P. Fitzgerald Marshall D. Perrin Christine H. Chen Bruce Macintosh Brenda C. Matthews Jason J. Wang James R. Graham Franck Marchis S. Mark Ammons Vanessa P. Bailey Travis Barman Joanna Bulger Jeffrey K. Chilcote Tara Cotten Robert J. De Rosa René Doyon Katherine B. Follette Steven Goodsell Alexandra Z. Greenbaum Pascale Hibon Patrick Ingraham Quinn Konopacky James E. Larkin Jerome Maire Mark S. Marley Christian Marois Elisabeth Matthews Stanimir Metchev Eric L. Nielsen Rebecca Oppenheimer David Palmer Lisa A. Poyneer Laurent Pueyo Abhijith Rajan Julien Rameau Fredrik T. Rantakyrö Bin Ren Dmitry Savransky Adam Schneider Anand Sivaramakrishnan Inseok Song Rémi Soummer Melisa Tallis Sandrine Thomas J. Kent Wallace Kimberly Ward-Duong Sloane J. Wiktorowicz Ben Zuckerman

A simple real-space model for the electron wavefunction is suggested, based on a transverse wave with helicity, rotating at mc^2/h. The mapping of the real two-dimensional vector phasor to the complex plane permits this to satisfy the standard time-dependent Schroedinger equation. This model is extended to provide an intuitive physical picture of electron spin. Implications of this model are discussed.

Alan M. Kadin

We present JWST Early Release Science (ERS) coronagraphic observations of the super-Jupiter exoplanet, HIP 65426 b, with the Near-Infrared Camera (NIRCam) from 2-5 $\mu$m, and with the Mid-Infrared Instrument (MIRI) from 11-16 $\mu$m. At a separation of $\sim$0.82" (86$^{+116}_{-31}$ au), HIP 65426 b is clearly detected in all seven of our observational filters, representing the first images of an exoplanet to be obtained by JWST, and the first ever direct detection of an exoplanet beyond 5 $\mu$m. These observations demonstrate that JWST is exceeding its nominal predicted performance by up to a factor of 10, depending on separation and subtraction method, with measured 5$\sigma$ contrast limits of $\sim$1$\times10^{-5}$ and $\sim$2$\times10^{-4}$ at 1" for NIRCam at 4.4 $\mu$m and MIRI at 11.3 $\mu$m, respectively. These contrast limits provide sensitivity to sub-Jupiter companions with masses as low as 0.3$M_\mathrm{Jup}$ beyond separations of $\sim$100 au. Together with existing ground-based near-infrared data, the JWST photometry are well fit by a BT-SETTL atmospheric model from 1-16 $\mu$m, and span $\sim$97% of HIP 65426 b's luminous range. Independent of the choice of model atmosphere we measure an empirical bolometric luminosity that is tightly constrained between $\mathrm{log}\!\left(L_\mathrm{bol}/L_{\odot}\right)$=-4.31 to $-$4.14, which in turn provides a robust mass constraint of 7.1$\pm$1.2 $M_\mathrm{Jup}$. In totality, these observations confirm that JWST presents a powerful and exciting opportunity to characterise the population of exoplanets amenable to high-contrast imaging in greater detail.

Aarynn L. Carter Sasha Hinkley Jens Kammerer Andrew Skemer Beth A. Biller Jarron M. Leisenring Maxwell A. Millar-Blanchaer Simon Petrus Jordan M. Stone Kimberly Ward-Duong Jason J. Wang Julien H. Girard Dean C. Hines Marshall D. Perrin Laurent Pueyo William O. Balmer Mariangela Bonavita Mickael Bonnefoy Gael Chauvin Elodie Choquet Valentin Christiaens Camilla Danielski Grant M. Kennedy Elisabeth C. Matthews Brittany E. Miles Polychronis Patapis Shrishmoy Ray Emily Rickman Steph Sallum Karl R. Stapelfeldt Niall Whiteford Yifan Zhou Olivier Absil Anthony Boccaletti Mark Booth Brendan P. Bowler Christine H. Chen Thayne Currie Jonathan J. Fortney Carol A. Grady Alexandra Z. Greenbaum Thomas Henning Kielan K. W. Hoch Markus Janson Paul Kalas Matthew A. Kenworthy Pierre Kervella Adam L. Kraus Pierre-Olivier Lagage Michael C. Liu Bruce Macintosh Sebastian Marino Mark S. Marley Christian Marois Brenda C. Matthews Dimitri Mawet Michael W. McElwain Stanimir Metchev Michael R. Meyer Paul Molliere Sarah E. Moran Caroline V. Morley Sagnick Mukherjee Eric Pantin Andreas Quirrenbach Isabel Rebollido Bin B. Ren Glenn Schneider Malavika Vasist Kadin Worthen Mark C. Wyatt Zackery W. Briesemeister Marta L. Bryan Per Calissendorff Faustine Cantalloube Gabriele Cugno Matthew De Furio Trent J. Dupuy Samuel M. Factor Jacqueline K. Faherty Michael P. Fitzgerald Kyle Franson Eileen C. Gonzales Callie E. Hood Alex R. Howe Masayuki Kuzuhara Anne-Marie Lagrange Kellen Lawson Cecilia Lazzoni Ben W. P. Lew Pengyu Liu Jorge Llop-Sayson James P. Lloyd Raquel A. Martinez Johan Mazoyer Paulina Palma-Bifani Sascha P. Quanz Jea Adams Redai Matthias Samland Joshua E. Schlieder Motohide Tamura Xianyu Tan Taichi Uyama Arthur Vigan Johanna M. Vos Kevin Wagner Schuyler G. Wolff Marie Ygouf Xi Zhang Keming Zhang Zhoujian Zhang

We present the highest fidelity spectrum to date of a planetary-mass object. VHS 1256 b is a $<$20 M$_\mathrm{Jup}$ widely separated ($\sim$8\arcsec, a = 150 au), young, planetary-mass companion that shares photometric colors and spectroscopic features with the directly imaged exoplanets HR 8799 c, d, and e. As an L-to-T transition object, VHS 1256 b exists along the region of the color-magnitude diagram where substellar atmospheres transition from cloudy to clear. We observed VHS 1256~b with \textit{JWST}'s NIRSpec IFU and MIRI MRS modes for coverage from 1 $\mu$m to 20 $\mu$m at resolutions of $\sim$1,000 - 3,700. Water, methane, carbon monoxide, carbon dioxide, sodium, and potassium are observed in several portions of the \textit{JWST} spectrum based on comparisons from template brown dwarf spectra, molecular opacities, and atmospheric models. The spectral shape of VHS 1256 b is influenced by disequilibrium chemistry and clouds. We directly detect silicate clouds, the first such detection reported for a planetary-mass companion.

Brittany E. Miles Beth A. Biller Polychronis Patapis Kadin Worthen Emily Rickman Kielan K. W. Hoch Andrew Skemer Marshall D. Perrin Niall Whiteford Christine H. Chen B. Sargent Sagnick Mukherjee Caroline V. Morley Sarah E. Moran Mickael Bonnefoy Simon Petrus Aarynn L. Carter Elodie Choquet Sasha Hinkley Kimberly Ward-Duong Jarron M. Leisenring Maxwell A. Millar-Blanchaer Laurent Pueyo Shrishmoy Ray Karl R. Stapelfeldt Jordan M. Stone Jason J. Wang Olivier Absil William O. Balmer Anthony Boccaletti Mariangela Bonavita Mark Booth Brendan P. Bowler Gael Chauvin Valentin Christiaens Thayne Currie Camilla Danielski Jonathan J. Fortney Julien H. Girard Alexandra Z. Greenbaum Thomas Henning Dean C. Hines Markus Janson Paul Kalas Jens Kammerer Matthew A. Kenworthy Pierre Kervella Pierre-Olivier Lagage Ben W. P. Lew Michael C. Liu Bruce Macintosh Sebastian Marino Mark S. Marley Christian Marois Elisabeth C. Matthews Brenda C. Matthews Dimitri Mawet Michael W. McElwain Stanimir Metchev Michael R. Meyer Paul Molliere Eric Pantin Andreas Quirrenbachm Isabel Rebollido Bin B. Ren Malavika Vasist Mark C. Wyatt Yifan Zhou Zackery W. Briesemeister Marta L. Bryan Per Calissendorff Faustine Catalloube Gabriele Cugno Matthew De Furio Trent J. Dupuy Samuel M. Factor Jacqueline K. Faherty Michael P. Fitzgerald Kyle Franson Eileen C. Gonzales Callie E. Hood Alex R. Howe Adam L. Kraus Masayuki Kuzuhara Kellen Lawson Cecilia Lazzoni Pengyu Liu Jorge Llop-Sayson James P. Lloyd Raquel A. Martinez Johan Mazoyer Sascha P. Quanz Jea Adams Redai Matthias Samland Joshua E. Schlieder Motohide Tamura Xianyu Tan Taichi Uyama Arthur Vigan Johanna M. Vos Kevin Wagner Schuyler G. Wolff Marie Ygouf Keming Zhang Zhoujian Zhang

We present a performance analysis for the aperture masking interferometry (AMI) mode on board the James Webb Space Telescope Near Infrared Imager and Slitless Spectrograph (JWST/NIRISS). Thanks to self-calibrating observables, AMI accesses inner working angles down to and even within the classical diffraction limit. The scientific potential of this mode has recently been demonstrated by the Early Release Science (ERS) 1386 program with a deep search for close-in companions in the HIP 65426 exoplanetary system. As part of ERS 1386, we use the same data set to explore the random, static, and calibration errors of NIRISS AMI observables. We compare the observed noise properties and achievable contrast to theoretical predictions. We explore possible sources of calibration errors and show that differences in charge migration between the observations of HIP 65426 and point-spread function calibration stars can account for the achieved contrast curves. Lastly, we use self-calibration tests to demonstrate that with adequate calibration NIRISS F380M AMI can reach contrast levels of $\sim9-10$ mag at $\gtrsim \lambda/D$. These tests lead us to observation planning recommendations and strongly motivate future studies aimed at producing sophisticated calibration strategies taking these systematic effects into account. This will unlock the unprecedented capabilities of JWST/NIRISS AMI, with sensitivity to significantly colder, lower-mass exoplanets than lower-contrast ground-based AMI setups, at orbital separations inaccessible to JWST coronagraphy.

Steph Sallum Shrishmoy Ray Jens Kammerer Anand Sivaramakrishnan Rachel Cooper Alexandra Z. Greebaum Deepashri Thatte Matthew de Furio Samuel Factor Michael Meyer Jordan M. Stone Aarynn Carter Beth Biller Sasha Hinkley Andrew Skemer Genaro Suarez Jarron M. Leisenring Marshall D. Perrin Adam L. Kraus Olivier Absil William O. Balmer Mickael Bonnefoy Marta L. Bryan Sarah K. Betti Anthony Boccaletti Mariangela Bonavita Mark Booth Brendan P. Bowler Zackery W. Briesemeister Faustine Cantalloube Gael Chauvin Valentin Christiaens Gabriele Cugno Thayne Currie Camilla Danielski Trent J. Dupuy Jacqueline K. Faherty Christine H. Chen Per Calissendorff Elodie Choquet Michael P. Fitzgerald Jonathan J. Fortney Kyle Franson Julien H. Girard Carol A. Grady Eileen C. Gonzales Thomas Henning Dean C. Hines Kielan K. W. Hoch Callie E. Hood Alex R. Howe Markus Janson Paul Kalas Grant M. Kennedy Matthew A. Kenworthy Pierre Kervella Daniel Kitzmann Masayuki Kuzuhara Anne-Marie Lagrange Pierre-Olivier Lagage Kellen Lawson Cecilia Lazzoni Ben W. P. Lew Michael C. Liu Pengyu Liu Jorge Llop-Sayson James P. Lloyd Anna Lueber Bruce Macintosh Elena Manjavacas Sebastian Marino Mark S. Marley Christian Marois Raquel A. Martinez Brenda C. Matthews Elisabeth C. Matthews Dimitri Mawet Johan Mazoyer Michael W. McElwain Stanimir Metchev Brittany E. Miles Maxwell A. Millar-Blanchaer Paul Molliere Sarah E. Moran Caroline V. Morley Sagnick Mukherjee Paulina Palma-Bifani Eric Pantin Polychronis Patapis Simon Petrus Laurent Pueyo Sascha P. Quanz Andreas Quirrenbach Isabel Rebollido Jea Adams Redai Bin B. Ren Emily Rickman Matthias Samland B. A. Sargent Joshua E. Schlieder Glenn Schneider Karl R. Stapelfeldt Ben J. Sutlieff Motohide Tamura Xianyu Tan Christopher A. Theissen Taichi Uyama Arthur Vigan Malavika Vasist Johanna M. Vos Kevin Wagner Jason J. Wang Kimberly Ward-Duong Niall Whiteford Schuyler G. Wolff Kadin Worthen Mark C. Wyatt Marie Ygouf Xi Zhang Keming Zhang Zhoujian Zhang Yifan Zhou Alice Zurlo

We present aperture masking interferometry (AMI) observations of the star HIP 65426 at $3.8\,\rm{\mu m}$ as a part of the JWST Direct Imaging Early Release Science (ERS) program obtained using the Near Infrared Imager and Slitless Spectrograph (NIRISS) instrument. This mode provides access to very small inner working angles (even separations slightly below the Michelson limit of $0.5\lambda/D$ for an interferometer), which are inaccessible with the classical inner working angles of the JWST coronagraphs. When combined with JWST's unprecedented infrared sensitivity, this mode has the potential to probe a new portion of parameter space across a wide array of astronomical observations. Using this mode, we are able to achieve a $5\sigma$ contrast of $\Delta m{\sim}7.62{\pm}0.13$ mag relative to the host star at separations ${\gtrsim}0.07{"}$, and the contrast deteriorates steeply at separations ${\lesssim}0.07{"}$. However, we detect no additional companions interior to the known companion HIP 65426 b (at separation ${\sim}0.82{"}$ or, $87^{+108}_{-31}\,\rm{au}$). Our observations thus rule out companions more massive than $10{-}12\,\rm{M_{Jup}}$ at separations ${\sim}10{-}20\,\rm{au}$ from HIP 65426, a region out of reach of ground or space-based coronagraphic imaging. These observations confirm that the AMI mode on JWST is sensitive to planetary mass companions at close-in separations (${\gtrsim}0.07{"}$), even for thousands of more distant stars at $\sim$100 pc, in addition to the stars in the nearby young moving groups as stated in previous works. This result will allow the planning and successful execution of future observations to probe the inner regions of nearby stellar systems, opening an essentially unexplored parameter space.

Shrishmoy Ray Steph Sallum Sasha Hinkley Anand Sivamarakrishnan Rachel Cooper Jens Kammerer Alexandra Z. Greebaum Deepashri Thatte Tomas Stolker Cecilia Lazzoni Andrei Tokovinin Matthew de Furio Samuel Factor Michael Meyer Jordan M. Stone Aarynn Carter Beth Biller Andrew Skemer Genaro Suarez Jarron M. Leisenring Marshall D. Perrin Adam L. Kraus Olivier Absil William O. Balmer Mickael Bonnefoy Marta L. Bryan Sarah K. Betti Anthony Boccaletti Mariangela Bonavita Mark Booth Brendan P. Bowler Zackery W. Briesemeister Faustine Cantalloube Gael Chauvin Valentin Christiaens Gabriele Cugno Thayne Currie Camilla Danielski Trent J. Dupuy Jacqueline K. Faherty Christine H. Chen Per Calissendorff Elodie Choquet Michael P. Fitzgerald Jonathan J. Fortney Kyle Franson Julien H. Girard Carol A. Grady Eileen C. Gonzales Thomas Henning Dean C. Hines Kielan K. W. Hoch Callie E. Hood Alex R. Howe Markus Janson Paul Kalas Grant M. Kennedy Matthew A. Kenworthy Pierre Kervella Daniel Kitzmann Masayuki Kuzuhara Anne-Marie Lagrange Pierre-Olivier Lagage Kellen Lawson Ben W. P. Lew Michael C. Liu Pengyu Liu Jorge Llop-Sayson James P. Lloyd Anna Lueber Bruce Macintosh Elena Manjavacas Sebastian Marino Mark S. Marley Christian Marois Raquel A. Martinez Brenda C. Matthews Elisabeth C. Matthews Dimitri Mawet Johan Mazoyer Michael W. McElwain Stanimir Metchev Brittany E. Miles Maxwell A. Millar-Blanchaer Paul Molliere Sarah E. Moran Caroline V. Morley Sagnick Mukherjee Paulina Palma-Bifani Eric Pantin Polychronis Patapis Simon Petrus Laurent Pueyo Sascha P. Quanz Andreas Quirrenbach Isabel Rebollido Jea Adams Redai Bin B. Ren Emily Rickman Matthias Samland B. A. Sargent Joshua E. Schlieder Glenn Schneider Karl R. Stapelfeldt Ben J. Sutlieff Motohide Tamura Xianyu Tan Christopher A. Theissen Taichi Uyama Arthur Vigan Malavika Vasist Johanna M. Vos Kevin Wagner Jason J. Wang Kimberly Ward-Duong Niall Whiteford Schuyler G. Wolff Kadin Worthen Mark C. Wyatt Marie Ygouf Xi Zhang Keming Zhang Zhoujian Zhang Yifan Zhou

The unprecedented medium-resolution (R~1500-3500) near- and mid-infrared (1-18um) spectrum provided by JWST for the young (140+/-20Myr) low-mass (12-20MJup) L-T transition (L7) companion VHS1256b gives access to a catalogue of molecular absorptions. In this study, we present a comprehensive analysis of this dataset utilizing a forward modelling approach, applying our Bayesian framework, ForMoSA. We explore five distinct atmospheric models to assess their performance in estimating key atmospheric parameters: Teff, log(g), [M/H], C/O, gamma, fsed, and R. Our findings reveal that each parameter's estimate is significantly influenced by factors such as the wavelength range considered and the model chosen for the fit. This is attributed to systematic errors in the models and their challenges in accurately replicating the complex atmospheric structure of VHS1256b, notably the complexity of its clouds and dust distribution. To propagate the impact of these systematic uncertainties on our atmospheric property estimates, we introduce innovative fitting methodologies based on independent fits performed on different spectral windows. We finally derived a Teff consistent with the spectral type of the target, considering its young age, which is confirmed by our estimate of log(g). Despite the exceptional data quality, attaining robust estimates for chemical abundances [M/H] and C/O, often employed as indicators of formation history, remains challenging. Nevertheless, the pioneering case of JWST's data for VHS1256b has paved the way for future acquisitions of substellar spectra that will be systematically analyzed to directly compare the properties of these objects and correct the systematics in the models.

Simon Petrus Niall Whiteford Polychronis Patapis Beth A. Biller Andrew Skemer Sasha Hinkley Genaro Suárez Anna Lueber Paulina Palma-Bifani Jordan M. Stone Johanna M. Vos Caroline V. Morley Pascal Tremblin Benjamin Charnay Christiane Helling Brittany E. Miles Aarynn L. Carter Jason J. Wang Markus Janson Eileen C. Gonzales Ben Sutlieff Kielan K. W. Hoch Mickaël Bonnefoy Gaël Chauvin Olivier Absil William O. Balmer Anthony Boccaletti Mariangela Bonavita Mark Booth Brendan P. Bowler Zackery W. Briesemeister Marta L. Bryan Per Calissendorff Faustine Cantalloube Christine H. Chen Elodie Choquet Valentin Christiaens Gabriele Cugno Thayne Currie Camilla Danielski Matthew De Furio Trent J. Dupuy Samuel M. Factor Jacqueline K. Faherty Michael P. Fitzgerald Jonathan J. Fortney Kyle Franson Julien H. Girard Carol A. Grady Thomas Henning Dean C. Hines Callie E. Hood Alex R. Howe Paul Kalas Jens Kammerer Grant M. Kennedy Matthew A. Kenworthy Pierre Kervella Minjae Kim Daniel Kitzmann Adam L. Kraus Masayuki Kuzuhara Pierre-Olivier Lagage Anne-Marie Lagrange Kellen Lawson Cecilia Lazzoni Jarron M. Leisenring Ben W. P. Lew Michael C. Liu Pengyu Liu Jorge Llop-Sayson James P. Lloyd Bruce Macintosh Mathilde Mâlin Elena Manjavacas Sebastián Marino Mark S. Marley Christian Marois Raquel A. Martinez Elisabeth C. Matthews Brenda C. Matthews Dimitri Mawet Johan Mazoyer Michael W. McElwain Stanimir Metchev Michael R. Meyer Maxwell A. Millar-Blanchaer Paul Mollière Sarah E. Moran Sagnick Mukherjee Eric Pantin Marshall D. Perrin Laurent Pueyo Sascha P. Quanz Andreas Quirrenbach Shrishmoy Ray Isabel Rebollido Jea Adams Redai Bin B. Ren Emily Rickman Steph Sallum Matthias Samland Benjamin Sargent Joshua E. Schlieder Karl R. Stapelfeldt Motohide Tamura Xianyu Tan Christopher A. Theissen Taichi Uyama Malavika Vasist Arthur Vigan Kevin Wagner Kimberly Ward-Duong Schuyler G. Wolff Kadin Worthen Mark C. Wyatt Marie Ygouf Alice Zurlo Xi Zhang Keming Zhang Zhoujian Zhan Yifan Zhou

A simple real-space model for the free-electron wavefunction with spin is proposed, based on coherent vortices on the scale of h/mc, rotating at mc^2/h. This reproduces the proper values for electron spin and magnetic moment. Transformation to a moving reference frame turns this into a wave with the de Broglie wavelength. The mapping of the real two-dimensional vector phasor to the complex plane satisfies the Schrodinger equation. This suggests a fundamental role for spin in quantum mechanics.

Alan M. Kadin