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A fractional matching of $G$ is a function $f: E(G)\to [0,1]$ such that $\sum_{e\in E_G(v_i)}f(e)\le 1$ for any $v_i\in V(G)$, where $E_G(v_i)=\{e: e\in E(G) \ \textrm{and}\ e \ \textrm{is incident with} \ v_i\}$. Let $\alpha_f(G)$ denote…

Combinatorics · Mathematics 2025-12-04 Zengzhao Xu , Weige Xi , Ligong Wang

Lorentz symmetry is a cornerstone of modern physics, and testing its validity remains a critical endeavor. In this work, we analyze the photon time-of-flight and time-shift data from LHAASO observations of Gamma-Ray Burst GRB 221009A to…

High Energy Astrophysical Phenomena · Physics 2025-08-04 Yu Xi , Fu-Wen Shu

In this article, the possibility of generating non-classical light due to Planck-scale effects is considered. For this purpose, a widely studied model of deformation of the Heisenberg uncertainty relation is applied to single-mode and…

General Relativity and Quantum Cosmology · Physics 2024-11-07 Danilo Artigas , Killian Martineau , Jakub Mielczarek

The dark-speckle method (Labeyrie 1995) combines features of speckle interferometry and adaptive optics to provide images of faint circumstellar material. We present preliminary results of observations, and simulations concluding to the…

Astrophysics · Physics 2007-05-23 A. Boccaletti , A. Labeyrie , R. Ragazzoni

Some approaches to Quantum Gravity (QG) predict a modification of photon dispersion relations due to a breaking of Lorentz invariance. The effect is expected to affect photons near an effective QG energy scale. This scale has been…

High Energy Astrophysical Phenomena · Physics 2019-08-14 Mathieu Chrétien , Julien Bolmont , Agnieszka Jacholkowska

The Planck design and scanning strategy provide many levels of redundancy that can be exploited to provide tests of internal consistency. One of the most important is the comparison of the 70GHz and 100GHz channels. Based on different…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-17 Planck Collaboration , P. A. R. Ade , M. Arnaud , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , E. Battaner , K. Benabed , A. Benoit-Levy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. R. Bond , J. Borrill , F. R. Bouchet , C. Burigana , J. -F. Cardoso , A. Catalano , A. Challinor , A. Chamballu , H. C. Chiang , R. Christensen , D. L. Clements , S. Colombi , L. P. L. Colombo , F. Couchot , A. Coulais , B. P. Crill , A. Curto , F. Cuttaia , L. Danese , R. D. Davies , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , J. Delabrouille , F. -X. Desert , C. Dickinson , J. M. Diego , H. Dole , S. Donzelli , O. Dore , M. Douspis , X. Dupac , T. A. Ensslin , H. K. Eriksen , F. Finelli , O. Forni , M. Frailis , A. A. Fraisse , E. Franceschi , S. Galeotta , K. Ganga , M. Giard , J. Gonzalez-Nuevo , K. M. Gorski , S. Gratton , A. Gregorio , A. Gruppuso , J. E. Gudmundsson , F. K. Hansen , D. Hanson , D. L. Harrison , S. Henrot-Versille , C. D. Herranz , S. R. Hildebrandt , E. Hivon , M. Hobson , W. A. Holmes , A. Hornstrup , W. Hovest , K. M. Huffenberger , A. H. Jaffe , T. R. Jaffe , W. C. Jones , E. Keihanen , R. Keskitalo , J. Knoche , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lahteenmaki , J. -M. Lamarre , A. Lasenby , M. Lattanzi , C. R. Lawrence , R. Leonardi , J. Leon-Tavares , J. Lesgourgues , M. Liguori , P. B. Lilje , M. Lilley , M. Linden-Vornle , M. Lopez-Caniego , P. M. Lubin , J. F. Macias-Perez , D. Maino , N. Mandolesi , M. Maris , P. G. Martin , E. Martinez-Gonzalez , S. Masi , S. Matarrese , P. Mazzotta , P. R. Meinhold , A. Melchiorri , L. Mendes , A. Mennella , S. Mitra , M. -A. Miville-Deschenes , A. Moneti , L. Montier , G. Morgante , D. Mortlock , A. Moss , D. Munshi , J. A. Murphy , P. Naselsky , F. Nati , P. Natoli , H. U. Norgaard-Nielsen , F. Noviello , D. Novikov , I. Novikov , C. A. Oxborrow , L. Pagano , F. Pajot , D. Paoletti , B. Partridge , F. Pasian , G. Patanchon , D. Pearson , T. J. Pearson , O. Perdereau , F. Perrotta , F. Piacentini , M. Piat , E. Pierpaoli , D. Pietrobon , S. Plaszczynski , E. Pointecouteau , G. Polenta , L. Popa , G. W. Pratt , S. Prunet , J. -L. Puget , J. P. Rachen , M. Reinecke , M. Remazeilles , C. Renault , S. Ricciardi , I. Ristorcelli , G. Rocha , G. Roudier , J. A. Rubino-Martin , B. Rusholme , M. Sandri , D. Scott , V. Stolyarov , R. Sudiwala , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Tucci , L. Valenziano , J. Valiviita , B. Van Tent , P. Vielva , F. Villa , L. A. Wade , B. D. Wandelt , I. K. Wehus , S. D. M. White , D. Yvon , A. Zacchei , A. Zonca

If the weak equivalence principle (WEP) is broken, the measured values of the parametrized post-Newtonian parameter $\gamma$ from photons with left- and right-handed circular polarizations should differ slightly, leading to the arrival-time…

High Energy Astrophysical Phenomena · Physics 2019-05-27 Jun-Jie Wei , Xue-Feng Wu

The possible presence of graphene in the interstellar medium (ISM) is examined by comparing the interstellar extinction curve with the ultraviolet absorption of graphene calculated from its dielectric functions experimentally obtained with…

Astrophysics of Galaxies · Physics 2019-10-09 Qi Li , Aigen Li , B. W. Jiang

The all-sky Planck survey in 9 frequency bands was used to search for emission from all 274 known Galactic supernova remnants. Of these, 16 were detected in at least two Planck frequencies. The radio-through-microwave spectral energy…

Astrophysics of Galaxies · Physics 2016-02-10 Planck Collaboration , M. Arnaud , M. Ashdown , F. Atrio-Barandela , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , E. Battaner , K. Benabed , A. Benoit-Lévy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. Bobin , J. R. Bond , J. Borrill , F. R. Bouchet , C. L. Brogan , C. Burigana , J. -F. Cardoso , A. Catalano , A. Chamballu , H. C. Chiang , P. R. Christensen , S. Colombi , L. P. L. Colombo , B. P. Crill , A. Curto , F. Cuttaia , R. D. Davies , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , J. Delabrouille , F. -X. Désert , C. Dickinson , J. M. Diego , S. Donzelli , O. Doré , X. Dupac , T. A. Enßlin , H. K. Eriksen , F. Finelli , O. Forni , M. Frailis , A. A. Fraisse , E. Franceschi , S. Galeotta , K. Ganga , M. Giard , Y. Giraud-Héraud , J. González-Nuevo , K. M. Górski , A. Gregorio , A. Gruppuso , F. K. Hansen , D. L. Harrison , C. Hernández-Monteagudo , D. Herranz , S. R. Hildebrandt , M. Hobson , W. A. Holmes , K. M. Huffenberger , A. H. Jaffe , T. R. Jaffe , E. Keihänen , R. Keskitalo , T. S. Kisner , R. Kneissl , J. Knoche , M. Kunz , H. Kurki-Suonio , A. Lähteenmäki , J. -M. Lamarre , A. Lasenby , C. R. Lawrence , R. Leonardi , M. Liguori , P. B. Lilje , M. Linden-Vørnle , M. López-Caniego , P. M. Lubin , D. Maino , M. Maris , D. J. Marshall , P. G. Martin , E. Martínez-González , S. Masi , S. Matarrese , P. Mazzotta , A. Melchiorri , L. Mendes , A. Mennella , M. Migliaccio , M. -A. Miville-Deschênes , A. Moneti , L. Montier , G. Morgante , D. Mortlock , D. Munshi , J. A. Murphy , P. Naselsky , F. Nati , F. Noviello , D. Novikov , I. Novikov , N. Oppermann , C. A. Oxborrow , L. Pagano , F. Pajot , R. Paladini , F. Pasian , M. Peel , O. Perdereau , F. Perrotta , F. Piacentini , M. Piat , D. Pietrobon , S. Plaszczynski , E. Pointecouteau , G. Polenta , L. Popa , G. W. Pratt , J. -L. Puget , J. P. Rachen , W. T. Reach , W. Reich , M. Reinecke , M. Remazeilles , C. Renault , J. Rho , S. Ricciardi , T. Riller , I. Ristorcelli , G. Rocha , C. Rosset , G. Roudier , B. Rusholme , M. Sandri , G. Savini , D. Scott , V. Stolyarov , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Tucci , G. Umana , L. Valenziano , J. Valiviita , B. Van Tent , P. Vielva , F. Villa , L. A. Wade , D. Yvon , A. Zacchei , A. Zonca

We discuss possible tests of the constancy of the velocity of light using distant astrophysical sources such as gamma-ray bursters (GRBs), Active Galactic Nuclei (AGNs) and pulsars. This speculative quest may be motivated by some models of…

Astrophysics · Physics 2008-11-26 J. Ellis , K. Farakos , N. E. Mavromatos , V. Mitsou , D. V. Nanopoulos

In this paper we introduce and study the strip planarity testing problem, which takes as an input a planar graph $G(V,E)$ and a function $\gamma:V \rightarrow \{1,2,\dots,k\}$ and asks whether a planar drawing of $G$ exists such that each…

Computational Geometry · Computer Science 2013-09-04 Patrizio Angelini , Giordano Da Lozzo , Giuseppe Di Battista , Fabrizio Frati

We critically analyse and compare various recent thought experiments, performed by Amelino-Camelia, Ng et al., Baez et al., Adler et al., and ourselves, concerning the (thought)experimental accessibility of the Planck scale by space-time…

General Relativity and Quantum Cosmology · Physics 2008-07-24 M. Requardt

We present a new measurement principle to determine the absolute time delay of a waveform from an optical reference plane to an electrical reference plane and vice versa. We demonstrate a method based on this principle with 2 ps…

Optics · Physics 2018-05-28 H. Z. Peek , T. J. Pinkert , P. P. M. Jansweijer , J. C. J. Koelemeij

One of the cornerstones of modern physics is Einstein's special relativity, with its constant speed of light and zero photon mass assumptions. Constraint on the rest mass m_{\gamma} of photons is a fundamental way to test Einstein's theory,…

High Energy Astrophysical Phenomena · Physics 2016-10-03 Bo Zhang , Ya-Ting Chai , Yuan-Chuan Zou , Xue-Feng Wu

Interference is conventionally attributed to path-accumulated phase differences, with measurement treated as a passive readout. Here we demonstrate that single-particle interference is governed by the relative phase between the prepared…

Quantum Physics · Physics 2026-04-21 Tai Hyun Yoon

We reexamined the gravitational time delay of light, allowing for various models of modified gravity. We clarify the dependence of the time delay (and induced frequency shift) on modified gravity models and investigate how to distinguish…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideki Asada

Conventional techniques that measure rapid time variations are inefficient or inadequate to discover and observe rapidly pulsating astronomical sources. It is therefore conceivable that there exist some classes of objects pulsating with…

Instrumentation and Methods for Astrophysics · Physics 2015-05-18 Ermanno F Borra

Using precise full-sky observations from Planck, and applying several methods of component separation, we identify and characterize the emission from the Galactic "haze" at microwave wavelengths. The haze is a distinct component of diffuse…

Astrophysics of Galaxies · Physics 2015-06-11 Planck Collaboration , P. A. R. Ade , N. Aghanim , M. Arnaud , M. Ashdown , F. Atrio-Barandela , J. Aumont , C. Baccigalupi , A. Balbi , A. J. Banday , R. B. Barreiro , J. G. Bartlett , E. Battaner , K. Benabed , A. Benoît , J. -P. Bernard , M. Bersanelli , A. Bonaldi , J. R. Bond , J. Borrill , F. R. Bouchet , C. Burigana , P. Cabella , J. -F. Cardoso , A. Catalano , L. Cayón , R. -R. Chary , L. -Y Chiang , P. R. Christensen , D. L. Clements , L. P. L. Colombo , A. Coulais , B. P. Crill , F. Cuttaia , L. Danese , O. D'Arcangelo , R. J. Davis , P. de Bernardis , G. de Gasperis , A. de Rosa , G. de Zotti , J. Delabrouille , C. Dickinson , J. M. Diego , G. Dobler , H. Dole , S. Donzelli , O. Doré , U. Dörl , M. Douspis , X. Dupac , G. Efstathiou , T. A. Enßlin , H. K. Eriksen , F. Finelli , O. Forni , M. Frailis , E. Franceschi , S. Galeotta , K. Ganga , M. Giard , G. Giardino , J. González-Nuevo , K. M. Górski , S. Gratton , A. Gregorio , A. Gruppuso , F. K. Hansen , D. Harrison , G. Helou , S. Henrot-Versillé , C. Hernández-Monteagudo , S. R. Hildebrandt , E. Hivon , M. Hobson , W. A. Holmes , A. Hornstrup , W. Hovest , K. M. Huffenberger , T. R. Jaffe , T. Jagemann , W. C. Jones , M. Juvela , E. Keihänen , J. Knoche , L. Knox , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lähteenmäki , J. -M. Lamarre , A. Lasenby , C. R. Lawrence , S. Leach , R. Leonardi , P. B. Lilje , M. Linden-Vørnle , M. López-Caniego , P. M. Lubin , J. F. Macías-Pérez , B. Maffei , D. Maino , N. Mandolesi , M. Maris , P. G. Martin , E. Martínez-González , S. Masi , M. Massardi , S. Matarrese , F. Matthai , P. Mazzotta , P. R. Meinhold , A. Melchiorri , L. Mendes , A. Mennella , S. Mitra , M. -A. Miville-Deschênes , A. Moneti , L. Montier , G. Morgante , D. Munshi , J. A. Murphy , P. Naselsky , P. Natoli , H. U. Nørgaard-Nielsen , F. Noviello , S. Osborne , F. Pajot , R. Paladini , D. Paoletti , B. Partridge , T. J. Pearson , O. Perdereau , F. Perrotta , F. Piacentini , M. Piat , E. Pierpaoli , D. Pietrobon , S. Plaszczynski , E. Pointecouteau , G. Polenta , N. Ponthieu , L. Popa , T. Poutanen , G. W. Pratt , S. Prunet , J. -L. Puget , J. P. Rachen , R. Rebolo , M. Reinecke , C. Renault , S. Ricciardi , T. Riller , G. Rocha , C. Rosset , J. A. Rubiño-Martín , B. Rusholme , M. Sandri , G. Savini , B. M. Schaefer , D. Scott , G. F. Smoot , F. Stivoli , R. Sudiwala , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Türler , G. Umana , L. Valenziano , B. Van Tent , P. Vielva , F. Villa , N. Vittorio , L. A. Wade , B. D. Wandelt , M. White , D. Yvon , A. Zacchei , A. Zonca

If the recent observations suggesting a time variation of the fine structure constant are correct, they imply the existence of an ultra light scalar particle. This particle inevitably couples to nucleons through the \alpha-dependence of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Gia Dvali , Matias Zaldarriaga

Sgr A* exhibits flares in radio, millimeter and submm wavelengths with durations of $\sim 1$ hour. Using structure function, power spectrum and autocorrelation function analysis, we investigate the variability of Sgr A* on time scales…

Astrophysics of Galaxies · Physics 2015-05-19 F. Yusef-Zadeh , M. Wardle , J. Miller-Jones , D. Roberts , N. Grosso , D. Porquet
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