Article
Mathematics
Tarun K. Garg, Waseem Z. Lone, Firdous A. Shah, Hatem Mejjaoli
Summary: This study introduces a novel shearlet transform by utilizing the free metaplectic convolution structures. In addition to studying the properties of the proposed transform, the Heisenberg and logarithmic-type uncertainty principles associated with the free metaplectic shearlet transform are also investigated.
JOURNAL OF MATHEMATICS
(2021)
Article
Quantum Science & Technology
Francesco Buscemi, Kodai Kobayashi, Shintaro Minagawa, Paolo Perinotti, Alessandro Tosini
Summary: While there is consensus on incompatible POVMs definition, there is ambiguity in defining compatibility at the level of instruments. To address this, q-compatibility is introduced, which unifies different notions of POVMs, channels, and instruments into a hierarchy of resource theories for communication between separated parties. The obtained resource theories are complete, containing families of free operations and monotones with necessary and sufficient conditions for transformation. The framework is operational, characterizing free transformations using local operations aided by causally-constrained directed classical communication, and all monotones have a game-theoretic interpretation making them experimentally measurable in principle. It precisely defines the information-theoretic resources for each notion of incompatibility.
Article
Physics, Multidisciplinary
Md. Abhishek, Bhabani Prasad Mandal
Summary: We study Landau diamagnetism within the framework of the generalised uncertainty principle (GUP). By constructing the grand partition function for diamagnetic material in this framework, we calculate the correction to magnetisation and susceptibility. We explicitly demonstrate that Curie's law receives a temperature-independent correction, which disappears when quantum gravity effects are ignored. We also explore the low-temperature limit to understand how GUP affects the de Haas-van Alphen effect.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Mathematics, Interdisciplinary Applications
Sabrine Arfaoui, Maryam G. Alshehri, Anouar Ben Mabrouk
Summary: In this paper, an uncertainty principle is derived in the quantum wavelet framework, specifically for the generalized q-Bessel wavelet transform. The uncertainty principle is established based on a q-quantum wavelet, using a two-parameters extension of the classical Bessel operator to generate a wavelet function.
FRACTAL AND FRACTIONAL
(2022)
Article
Multidisciplinary Sciences
Hooman Moradpour, Sarah Aghababaei, Amir Hadi Ziaie
Summary: The implications of GUP and EUP on a system following the Juttner distribution are investigated in this study, with a focus on deriving the distribution function from the partition function and its relation to thermal energy to ultimately determine the corresponding energy density states.
Article
Mathematics
Mawardi Bahri, Samsul Ariffin Abdul Karim
Summary: This paper reviews the definition of the fractional Fourier transform and its relation to the conventional Fourier transform. The main properties of the fractional Fourier transform are easily obtained through this relation. The sharp Hausdorff-Young inequality for the fractional Fourier transform is investigated and the related Matolcsi-Szucs inequality is established. Other versions of inequalities concerning the fractional Fourier transform are also discussed in detail. The results obtained in this paper are very significant, especially in the field of fractional differential equations.
Article
Astronomy & Astrophysics
Michael Bishop, Peter Martin, Douglas Singleton
Summary: This paper discusses new methods to bridge the gap between the observed and calculated values for the cosmological constant using the generalized uncertainty principle (GUP) in quantum field theory and cosmology. The study suggests that if quantum gravity GUP models are the solution to this puzzle, a parity transformation of the gravitationally modified position operator at high energies may be necessary.
Article
Physics, Multidisciplinary
Jaume Gine
Summary: Using the generalized uncertainty principle, we calculated the first correction to the Hawking temperature associated with the Hawking effect. This allowed us to derive a new evaporation time and entropy for any Schwarzschild black hole by analyzing their expressions and consequences.
COMMUNICATIONS IN THEORETICAL PHYSICS
(2021)
Article
Physics, Multidisciplinary
Gu-Qiang Li
Summary: The entropy of a novel four-dimensional Gauss-Bonnet black hole surrounded by an arbitrary field with spin s <= 2 is calculated using the generalized uncertainty principle. The results show that the entropy is modified by the quantum gravity effect and spin of the field, with the correction term being proportional to the horizon area and inversely proportional to the gravity correction factor. Interestingly, the ratio of the correction term to the leading one is -5/7 and -1395/1764 for Bose and Fermi cases, respectively, indicating a decrease in entropy due to quantum gravity. These proportion values are independent of the black hole characteristics.
Article
Astronomy & Astrophysics
Michael Bishop, Joey Contreras, Jaeyeong Lee, Douglas Singleton
Summary: Generic arguments suggest a minimal length scale in quantum gravity, with potential observational signal being the dispersion of photons. Proposed modification of position and momentum operators addresses the challenge of minimal distance models while preserving the photon energy-momentum relationship, leading to no dispersion of photons with different energies. This modification can be achieved without altering the commutation relationship.
Article
Mathematics, Applied
Navneet Kaur, Bivek Gupta, Amit K. Verma
Summary: In this paper, a new definition of continuous fractional wavelet transform (MFrWT) in RN is given and some of the basic properties are studied, including the inner product relation and the reconstruction formula. It is also shown that the range of the proposed transform is a reproducing kernel Hilbert space and the associated kernel is obtained. The uncertainty principles of the multidimensional fractional Fourier transform (MFrFT) are obtained, similar to Heisenberg's uncertainty principle, logarithmic uncertainty principle, and local uncertainty principle. Based on these uncertainty principles of MFrFT, the corresponding uncertainty principles, namely Heisenberg's, logarithmic, and local uncertainty principles, are obtained for the proposed MFrWT.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
Article
Engineering, Environmental
U. Diwekar, A. Amekudzi-Kennedy, B. Bakshi, R. Baumgartner, R. Boumans, P. Burger, H. Cabezas, M. Egler, J. Farley, B. Fath, T. Gleason, Y. Huang, A. Karunanithi, V Khanna, A. Mangan, A. L. Mayer, R. Mukherjee, G. Mullally, V Rico-Ramirez, D. Shonnard, M. Svanstrom, T. Theis
Summary: This study presents perspectives on the role of uncertainty in managing the Earth for global sustainability, derived from talks and discussions at the 2019 TARDIS workshop. It discusses four types of uncertainties encountered in sustainability, ranging from clear enough futures to true surprises, as well as the current state-of-the-art in assessing and mitigating these uncertainties.
RESOURCES CONSERVATION AND RECYCLING
(2021)
Article
Astronomy & Astrophysics
N. Heidari, H. Hassanabadi, H. Chen
Summary: In this research, the quantum correction of the Schwarzschild black hole metric is investigated based on the generalized uncertainty principle (GUP). A massless scalar field is assumed, with an effective potential determined by the GUP effect. The phase shift of the scattered wave function is found by approximating the effective potential, and the GUP corrected reflection and transmission coefficients of the scattered radial wave function are calculated using the Posch-Teller method.
Article
Astronomy & Astrophysics
Markus B. Froeb, Albert Much, Kyriakos Papadopoulos
Summary: This paper discusses the connection between a fundamentally noncommutative spacetime and the conservative perturbative approach to quantum gravity. It raises two natural questions: can perturbative quantum gravity predict noncommutative geometrical effects? Is noncommutativity introduced manually or does it arise from quantum gravitational effects? The study shows that the first question has a positive answer, while the second question has a negative answer: perturbative quantum gravity predicts noncommutativity at the Planck scale, as long as the structure of observables in the quantum theory is clarified.
Article
Mathematics
Mawardi Bahri, Samsul Ariffin Abdul Karim
Summary: In this article, the relationship between linear canonical wavelet transform and uncertainty principles is explored by directly interacting with the linear canonical transform and Fourier transform.
Review
Genetics & Heredity
Scott J. Dixon, Michael Costanzo, Anastasia Baryshnikova, Brenda Andrews, Charles Boone
ANNUAL REVIEW OF GENETICS
(2009)
Article
Biochemistry & Molecular Biology
Supipi Kaluarachchi Duffy, Helena Friesen, Anastasia Baryshnikova, Jean-Philippe Lambert, Yolanda T. Chong, Daniel Figeys, Brenda Andrews
Review
Biochemical Research Methods
Michael Costanzo, Anastasia Baryshnikova, Chad L. Myers, Brenda Andrews, Charles Boone
CURRENT OPINION IN BIOTECHNOLOGY
(2011)
Review
Biochemistry & Molecular Biology
Cheuk Hei Ho, Jeff Piotrowski, Scott J. Dixon, Anastasia Baryshnikoval, Michael Costanzol, Charles Boone
CURRENT OPINION IN CHEMICAL BIOLOGY
(2011)
Article
Biochemistry & Molecular Biology
Benjamin VanderSluis, Jeremy Bellay, Gabriel Musso, Michael Costanzo, Balazs Papp, Franco J. Vizeacoumar, Anastasia Baryshnikova, Brenda Andrews, Charles Boone, Chad L. Myers
MOLECULAR SYSTEMS BIOLOGY
(2010)
Article
Biochemistry & Molecular Biology
Murat Cokol, Hon Nian Chua, Murat Tasan, Beste Mutlu, Zohar B. Weinstein, Yo Suzuki, Mehmet E. Nergiz, Michael Costanzo, Anastasia Baryshnikova, Guri Giaever, Corey Nislow, Chad L. Myers, Brenda J. Andrews, Charles Boone, Frederick P. Roth
MOLECULAR SYSTEMS BIOLOGY
(2011)
Article
Biotechnology & Applied Microbiology
Leslie Magtanong, Cheuk Hei Ho, Sarah L. Barker, Wei Jiao, Anastasia Baryshnikova, Sondra Bahr, Andrew M. Smith, Lawrence E. Heisler, John S. Choy, Elena Kuzmin, Kerry Andrusiak, Anna Kobylianski, Zhijian Li, Michael Costanzo, Munira A. Basrai, Guri Giaever, Corey Nislow, Brenda Andrews, Charles Boone
NATURE BIOTECHNOLOGY
(2011)
Article
Biotechnology & Applied Microbiology
Zhijian Li, Franco J. Vizeacoumar, Sondra Bahr, Jingjing Li, Jonas Warringer, Frederick S. Vizeacoumar, Renqiang Min, Benjamin VanderSluis, Jeremy Bellay, Michael DeVit, James A. Fleming, Andrew Stephens, Julian Haase, Zhen-Yuan Lin, Anastasia Baryshnikova, Hong Lu, Zhun Yan, Ke Jin, Sarah Barker, Alessandro Datti, Guri Giaever, Corey Nislow, Chris Bulawa, Chad L. Myers, Michael Costanzo, Anne-Claude Gingras, Zhaolei Zhang, Anders Blomberg, Kerry Bloom, Brenda Andrews, Charles Boone
NATURE BIOTECHNOLOGY
(2011)
Article
Genetics & Heredity
Balazs Szappanos, Karoly Kovacs, Bela Szamecz, Frantisek Honti, Michael Costanzo, Anastasia Baryshnikova, Gabriel Gelius-Dietrich, Martin J. Lercher, Mark Jelasity, Chad L. Myers, Brenda J. Andrews, Charles Boone, Stephen G. Oliver, Csaba Pal, Balazs Papp
Editorial Material
Biochemical Research Methods
Michael Costanzo, Anastasia Baryshnikova, Corey Nislow, Brenda Andrews, Charles Boone
Article
Biochemical Research Methods
Anastasia Baryshnikova, Michael Costanzo, Yungil Kim, Huiming Ding, Judice Koh, Kiana Toufighi, Ji-Young Youn, Jiongwen Ou, Bryan-Joseph San Luis, Sunayan Bandyopadhyay, Matthew Hibbs, David Hess, Anne-Claude Gingras, Gary D. Bader, Olga G. Troyanskaya, Grant W. Brown, Brenda Andrews, Charles Boone, Chad L. Myers
