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Higher genus polylogarithms on families of Riemann surfaces
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-02-18 DOI: 10.1016/j.nuclphysb.2025.116836
Takashi Ichikawa
We construct polylogarithms on families of pointed Riemann surfaces of any genus which describe monodromies of nilpotent meromorphic connections with simple poles on these families. Furthermore, we show that the polylogarithms are computable as power series in deformation parameters and their logarithms associated with these families whose coefficients are essentially expressed by multiple zeta values.
{"title":"Higher genus polylogarithms on families of Riemann surfaces","authors":"Takashi Ichikawa","doi":"10.1016/j.nuclphysb.2025.116836","DOIUrl":"10.1016/j.nuclphysb.2025.116836","url":null,"abstract":"<div><div>We construct polylogarithms on families of pointed Riemann surfaces of any genus which describe monodromies of nilpotent meromorphic connections with simple poles on these families. Furthermore, we show that the polylogarithms are computable as power series in deformation parameters and their logarithms associated with these families whose coefficients are essentially expressed by multiple zeta values.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1013 ","pages":"Article 116836"},"PeriodicalIF":2.5,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445546","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Independent check of sporadic beta decay anomalies reported earlier by Parkhomov 对帕克霍莫夫早先报告的零星β衰变异常现象的独立检查
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-02-17 DOI: 10.1016/j.nuclphysb.2025.116846
Andrei E. Egorov , Aleksey A. Alekseev
A. Parkhomov reported in the past the detection of strong, short, sporadic, nearly everyday decay rate increases in β-isotopes placed at the focus of a concave mirror directed at a clear sky. He interpreted this effect as neutrino-induced decay. These neutrinos were assumed to be slow and arrive from space in the form of gravitationally collimated beams. We precisely replicated this experiment for the purpose of independent verification. We recorded about 50 days of data employing Geiger-counter-based signal and control detectors, 40K and 90Sr/90Y isotopes as β-sources. We did not detect any significant difference between the data from signal and control detectors, both datasets obeyed the standard Poissonian process. Thus, we robustly excluded the hypothesized new effect. We suspect that A. Parkhomov was just misled by a trivial electromagnetic instability of his setup.
{"title":"Independent check of sporadic beta decay anomalies reported earlier by Parkhomov","authors":"Andrei E. Egorov ,&nbsp;Aleksey A. Alekseev","doi":"10.1016/j.nuclphysb.2025.116846","DOIUrl":"10.1016/j.nuclphysb.2025.116846","url":null,"abstract":"<div><div>A. Parkhomov reported in the past the detection of strong, short, sporadic, nearly everyday decay rate increases in <em>β</em>-isotopes placed at the focus of a concave mirror directed at a clear sky. He interpreted this effect as neutrino-induced decay. These neutrinos were assumed to be slow and arrive from space in the form of gravitationally collimated beams. We precisely replicated this experiment for the purpose of independent verification. We recorded about 50 days of data employing Geiger-counter-based signal and control detectors, <sup>40</sup>K and <sup>90</sup>Sr/<sup>90</sup>Y isotopes as <em>β</em>-sources. We did not detect any significant difference between the data from signal and control detectors, both datasets obeyed the standard Poissonian process. Thus, we robustly excluded the hypothesized new effect. We suspect that A. Parkhomov was just misled by a trivial electromagnetic instability of his setup.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1013 ","pages":"Article 116846"},"PeriodicalIF":2.5,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143428699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An unified topological representation theory of the integral and fractional quantum Hall fluid by folding the membrane of quantum electron fluid
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-02-17 DOI: 10.1016/j.nuclphysb.2025.116843
Tieyan Si
How to understand the integral and fractional quantum Hall resistivity in an unified mathematical physics theory remained an unsolved problem in the past four decades. Here the quantum Hall fluid is modeled as electron fluid membrane that winds around magnetic fluxes. The train tracks of fractional quantum Hall fluid lies in the cross section edge surface of the folded membrane, which is spontaneously characterized by the knot lattice of magnetic fluxes in the bulk zone. The transition from the fractional Hall fluid to the integral Hall fluid is characterized by a geometric transformation in hyperbolic space. Both the integral and fractional Hall resistivity are unified into one exact resistivity equation, Rxy=(h/e2)B(m), B(m)=(n+ν(m))1, with respect to the bulk energy gap ΔE=ħeB(m)/Mc, that agrees with experimental measurements. This electron fluid membrane model provides a natural representation of Wen-Zee matrix formulation of topological fluid for quantum Hall effect under topological surgery and train track. When the electron fluid membrane in real space is mapped into momentum space, the Thouless-Kohmoto-Nightingale-Den Nijs (TKNN) formula of integral Hall conductance is generalized to fractional Hall conductance. The Thurston's train track in two dimensions is generalized to the folding laminar membranes in three dimensions, which predicted fractional quantum Hall fluid in three dimensions, and provided an analytical explanation on the measured competing phenomena between different fractional quantum Hall states. A fractional quantum Hall effect in hyperbolic space is predicted in the plane perpendicular to the conventional 2D electron gas in inhomogeneous magnetic field. This topological representation theory provides a different path to implement string theory and topological quantum computation by folding laminar quantum fluid.
{"title":"An unified topological representation theory of the integral and fractional quantum Hall fluid by folding the membrane of quantum electron fluid","authors":"Tieyan Si","doi":"10.1016/j.nuclphysb.2025.116843","DOIUrl":"10.1016/j.nuclphysb.2025.116843","url":null,"abstract":"<div><div>How to understand the integral and fractional quantum Hall resistivity in an unified mathematical physics theory remained an unsolved problem in the past four decades. Here the quantum Hall fluid is modeled as electron fluid membrane that winds around magnetic fluxes. The train tracks of fractional quantum Hall fluid lies in the cross section edge surface of the folded membrane, which is spontaneously characterized by the knot lattice of magnetic fluxes in the bulk zone. The transition from the fractional Hall fluid to the integral Hall fluid is characterized by a geometric transformation in hyperbolic space. Both the integral and fractional Hall resistivity are unified into one exact resistivity equation, <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>x</mi><mi>y</mi></mrow></msub><mo>=</mo><mo>(</mo><mi>h</mi><mo>/</mo><msup><mrow><mi>e</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo><mi>B</mi><mo>(</mo><mi>m</mi><mo>)</mo></math></span>, <span><math><mi>B</mi><mo>(</mo><mi>m</mi><mo>)</mo><mo>=</mo><msup><mrow><mo>(</mo><mi>n</mi><mo>+</mo><mi>ν</mi><mo>(</mo><mi>m</mi><mo>)</mo><mo>)</mo></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></math></span>, with respect to the bulk energy gap <span><math><mi>Δ</mi><mi>E</mi><mo>=</mo><mi>ħ</mi><mi>e</mi><mi>B</mi><mo>(</mo><mi>m</mi><mo>)</mo><mo>/</mo><mi>M</mi><mi>c</mi></math></span>, that agrees with experimental measurements. This electron fluid membrane model provides a natural representation of Wen-Zee matrix formulation of topological fluid for quantum Hall effect under topological surgery and train track. When the electron fluid membrane in real space is mapped into momentum space, the Thouless-Kohmoto-Nightingale-Den Nijs (TKNN) formula of integral Hall conductance is generalized to fractional Hall conductance. The Thurston's train track in two dimensions is generalized to the folding laminar membranes in three dimensions, which predicted fractional quantum Hall fluid in three dimensions, and provided an analytical explanation on the measured competing phenomena between different fractional quantum Hall states. A fractional quantum Hall effect in hyperbolic space is predicted in the plane perpendicular to the conventional 2D electron gas in inhomogeneous magnetic field. This topological representation theory provides a different path to implement string theory and topological quantum computation by folding laminar quantum fluid.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1013 ","pages":"Article 116843"},"PeriodicalIF":2.5,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143454987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deep learning Calabi-Yau four folds with hybrid and recurrent neural network architectures
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-02-14 DOI: 10.1016/j.nuclphysb.2025.116832
Harriet L. Dao
In this work, we report the results of applying deep learning based on hybrid convolutional-recurrent and purely recurrent neural network architectures to the dataset of almost one million complete intersection Calabi-Yau four-folds (CICY4) to machine-learn their four Hodge numbers h1,1, h2,1, h3,1, h2,2. In particular, we explored and experimented with twelve different neural network models, nine of which are convolutional-recurrent (CNN-RNN) hybrids with the RNN unit being either GRU (Gated Recurrent Unit) or Long Short Term Memory (LSTM). The remaining four models are purely recurrent neural networks based on LSTM. In terms of the h1,1, h2,1, h3,1 and h2,2 prediction accuracies, at 72% training ratio, our best performing individual model is CNN-LSTM-400, a hybrid CNN-LSTM with the LSTM hidden size of 400, which obtained 99.74%, 98.07%, 95.19%, 81.01%, our second best performing individual model is LSTM-448, an LSTM-based model with the hidden size of 448, which obtained 99.74%, 97.51%, 94.24%, and 78.63%. These results were improved by forming ensembles of the top two, three or even four models. Our best ensemble, consisting of the top four models, achieved the accuracies of 99.84%, 98.71%, 96.26%, 85.03%. At 80% training ratio, the top two performing models LSTM-448 and LSTM-424 are both LSTM-based with the hidden sizes of 448 and 424. Compared with the 72% training ratio, there is a significant improvement of accuracies, which reached 99.85%, 98.66%, 96.26%, 84.77% for the best individual model and 99.90%, 99.03%, 97.97%, 87.34% for the best ensemble. By nature a proof of concept, the results of this work conclusively established the utility of RNN-based architectures and demonstrated their effective performances compared to the well-explored purely CNN-based architectures in the problem of deep learning Calabi Yau manifolds.
{"title":"Deep learning Calabi-Yau four folds with hybrid and recurrent neural network architectures","authors":"Harriet L. Dao","doi":"10.1016/j.nuclphysb.2025.116832","DOIUrl":"10.1016/j.nuclphysb.2025.116832","url":null,"abstract":"<div><div>In this work, we report the results of applying deep learning based on hybrid convolutional-recurrent and purely recurrent neural network architectures to the dataset of almost one million complete intersection Calabi-Yau four-folds (CICY4) to machine-learn their four Hodge numbers <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span>, <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>2</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span>, <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>3</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span>, <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msup></math></span>. In particular, we explored and experimented with twelve different neural network models, nine of which are convolutional-recurrent (CNN-RNN) hybrids with the RNN unit being either GRU (Gated Recurrent Unit) or Long Short Term Memory (LSTM). The remaining four models are purely recurrent neural networks based on LSTM. In terms of the <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span>, <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>2</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span>, <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>3</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span> and <span><math><msup><mrow><mi>h</mi></mrow><mrow><mn>2</mn><mo>,</mo><mn>2</mn></mrow></msup></math></span> prediction accuracies, at 72% training ratio, our best performing individual model is CNN-LSTM-400, a hybrid CNN-LSTM with the LSTM hidden size of 400, which obtained 99.74%, 98.07%, 95.19%, 81.01%, our second best performing individual model is LSTM-448, an LSTM-based model with the hidden size of 448, which obtained 99.74%, 97.51%, 94.24%, and 78.63%. These results were improved by forming ensembles of the top two, three or even four models. Our best ensemble, consisting of the top four models, achieved the accuracies of 99.84%, 98.71%, 96.26%, 85.03%. At 80% training ratio, the top two performing models LSTM-448 and LSTM-424 are both LSTM-based with the hidden sizes of 448 and 424. Compared with the 72% training ratio, there is a significant improvement of accuracies, which reached 99.85%, 98.66%, 96.26%, 84.77% for the best individual model and 99.90%, 99.03%, 97.97%, 87.34% for the best ensemble. By nature a proof of concept, the results of this work conclusively established the utility of RNN-based architectures and demonstrated their effective performances compared to the well-explored purely CNN-based architectures in the problem of deep learning Calabi Yau manifolds.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1013 ","pages":"Article 116832"},"PeriodicalIF":2.5,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Conserved charges of series of solvable lattice models 可解晶格模型系列的守恒电荷
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-02-14 DOI: 10.1016/j.nuclphysb.2025.116844
Kazuhiko Minami
An infinite number of solvable Hamiltonians, including the transverse Ising chain, the XY chain with an external field, the cluster model with next-nearest-neighbor x-x interactions, or with next-nearest-neighbor z-z interactions, and other solvable models that can be mapped to the free fermion system are considered. All the conserved charges of these models written by the string-type products of the interactions are obtained. In the case of the transverse Ising chain, all the known charges are rederived, and in the case of the other models, new conserved charges are obtained.
{"title":"Conserved charges of series of solvable lattice models","authors":"Kazuhiko Minami","doi":"10.1016/j.nuclphysb.2025.116844","DOIUrl":"10.1016/j.nuclphysb.2025.116844","url":null,"abstract":"<div><div>An infinite number of solvable Hamiltonians, including the transverse Ising chain, the XY chain with an external field, the cluster model with next-nearest-neighbor <em>x</em>-<em>x</em> interactions, or with next-nearest-neighbor <em>z</em>-<em>z</em> interactions, and other solvable models that can be mapped to the free fermion system are considered. All the conserved charges of these models written by the string-type products of the interactions are obtained. In the case of the transverse Ising chain, all the known charges are rederived, and in the case of the other models, new conserved charges are obtained.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116844"},"PeriodicalIF":2.5,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143428641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hunting for the prospective Tcc family based on the diquark-antidiquark configuration 根据二夸克-反夸克构型寻找未来的 Tcc 家族
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-02-14 DOI: 10.1016/j.nuclphysb.2025.116828
Wen-Chao Dong , Zhi-Gang Wang
Inspired by the first Tcc observation at the LHCb Collaboration, the spectroscopic properties of the entire isoscalar and isovector Tcc family are systematically investigated by means of multiple sorts of relativized and nonrelativistic diquark formalisms, which include the Godfrey-Isgur relativized diquark model, the modified Godfrey-Isgur relativized diquark model incorporating the color screening effects, the nonrelativistic diquark model with the Gaussian type hyperfine potential, and the nonrelativistic diquark model with the Yukawa type hyperfine potential. In terms of the 1S-wave double-charm tetraquark state with I(JP)=0(1+), the predicted masses of most diquark-antidiquark scenarios are somewhat higher than the observed value of the Tcc(3875)+ structure. In light of the diquark-antidiquark configuration, this work unveils the mixing angles of the orbitally excited isovector Tcc states and the magic mixing angles of the ideal heavy-light tetraquarks for the first time. As the advancement of the experimental detection capability, these phenomenological predictions will effectively boost the hunting for the prospective low-lying Tcc states in the future.
{"title":"Hunting for the prospective Tcc family based on the diquark-antidiquark configuration","authors":"Wen-Chao Dong ,&nbsp;Zhi-Gang Wang","doi":"10.1016/j.nuclphysb.2025.116828","DOIUrl":"10.1016/j.nuclphysb.2025.116828","url":null,"abstract":"<div><div>Inspired by the first <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi><mi>c</mi></mrow></msub></math></span> observation at the LHCb Collaboration, the spectroscopic properties of the entire isoscalar and isovector <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi><mi>c</mi></mrow></msub></math></span> family are systematically investigated by means of multiple sorts of relativized and nonrelativistic diquark formalisms, which include the Godfrey-Isgur relativized diquark model, the modified Godfrey-Isgur relativized diquark model incorporating the color screening effects, the nonrelativistic diquark model with the Gaussian type hyperfine potential, and the nonrelativistic diquark model with the Yukawa type hyperfine potential. In terms of the 1<em>S</em>-wave double-charm tetraquark state with <span><math><mi>I</mi><mo>(</mo><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi></mrow></msup><mo>)</mo><mo>=</mo><mn>0</mn><mo>(</mo><msup><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msup><mo>)</mo></math></span>, the predicted masses of most diquark-antidiquark scenarios are somewhat higher than the observed value of the <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi><mi>c</mi></mrow></msub><msup><mrow><mo>(</mo><mn>3875</mn><mo>)</mo></mrow><mrow><mo>+</mo></mrow></msup></math></span> structure. In light of the diquark-antidiquark configuration, this work unveils the mixing angles of the orbitally excited isovector <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi><mi>c</mi></mrow></msub></math></span> states and the magic mixing angles of the ideal heavy-light tetraquarks for the first time. As the advancement of the experimental detection capability, these phenomenological predictions will effectively boost the hunting for the prospective low-lying <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi><mi>c</mi></mrow></msub></math></span> states in the future.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116828"},"PeriodicalIF":2.5,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143428642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A novel framework for characterizing spacetime microstructure with scaling
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-02-14 DOI: 10.1016/j.nuclphysb.2025.116842
Weihu Ma (马维虎) , Yu-Gang Ma (马余刚)
The study of physics at the Planck scale has garnered significant attention due to its implications for understanding the fundamental nature of the universe. At the Planck scale, quantum fluctuations challenge the classical notion of spacetime as a smooth continuum, revealing a complex microstructure that defies traditional models. This study introduces a novel scaling-based framework to investigate the properties of spacetime microstructures. By deriving a scaling-characterized metric tensor and reformulating fundamental equations—including the geodesic, Einstein field, Klein-Gordon, and Dirac equations—into scaling forms, the research reveals new properties of local spacetime dynamics. Remarkably, the golden ratio emerges naturally in linear scale measurements, offering a potential explanation for the role of the Planck length in resolving ultraviolet (UV) divergence. Furthermore, the study demonstrates how scale invariance in spacetime can restore classical geometric stability through the renormalization group equations. These findings significantly revise classical geometric intuitions, providing a fresh lens for understanding quantum fluctuations and offering promising insights for advancing quantum gravity theories.
{"title":"A novel framework for characterizing spacetime microstructure with scaling","authors":"Weihu Ma (马维虎) ,&nbsp;Yu-Gang Ma (马余刚)","doi":"10.1016/j.nuclphysb.2025.116842","DOIUrl":"10.1016/j.nuclphysb.2025.116842","url":null,"abstract":"<div><div>The study of physics at the Planck scale has garnered significant attention due to its implications for understanding the fundamental nature of the universe. At the Planck scale, quantum fluctuations challenge the classical notion of spacetime as a smooth continuum, revealing a complex microstructure that defies traditional models. This study introduces a novel scaling-based framework to investigate the properties of spacetime microstructures. By deriving a scaling-characterized metric tensor and reformulating fundamental equations—including the geodesic, Einstein field, Klein-Gordon, and Dirac equations—into scaling forms, the research reveals new properties of local spacetime dynamics. Remarkably, the golden ratio emerges naturally in linear scale measurements, offering a potential explanation for the role of the Planck length in resolving ultraviolet (UV) divergence. Furthermore, the study demonstrates how scale invariance in spacetime can restore classical geometric stability through the renormalization group equations. These findings significantly revise classical geometric intuitions, providing a fresh lens for understanding quantum fluctuations and offering promising insights for advancing quantum gravity theories.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116842"},"PeriodicalIF":2.5,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Erratum to “Investigation of Pontryagin trace anomaly using Pauli-Villars regularization” [Nucl. Phys. B 980 (2022) 115840]
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-02-14 DOI: 10.1016/j.nuclphysb.2025.116841
Chang-Yong Liu
{"title":"Erratum to “Investigation of Pontryagin trace anomaly using Pauli-Villars regularization” [Nucl. Phys. B 980 (2022) 115840]","authors":"Chang-Yong Liu","doi":"10.1016/j.nuclphysb.2025.116841","DOIUrl":"10.1016/j.nuclphysb.2025.116841","url":null,"abstract":"","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116841"},"PeriodicalIF":2.5,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Thermodynamic topology of AdS black holes within non-commutative geometry and Barrow entropy 非交换几何中 AdS 黑洞的热力学拓扑和巴罗熵
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-02-13 DOI: 10.1016/j.nuclphysb.2025.116840
Aram Bahroz Brzo , Saeed Noori Gashti , B. Pourhassan , S. Beikpour
In this paper, we explore the thermodynamic topology of Schwarzschild-AdS black holes within the framework of non-commutative geometry and Barrow entropy. We provide an overview of the Schwarzschild-AdS black hole and discuss the significance of Barrow entropy. We determine the topological charges and discuss the implications of topological classifications. Key findings include the impact of the strength of the noncommutative geometry parameter α and deformation parameter δ on the number of topological charges. When δ raised from Barrow entropy is zero, the structure faces Bekenstein-Hawking entropy, resulting in a single topological charge (ω=+1). However, the presence of parameter δ leads to variations in the number of topological charges. However, with specific values of α, δ the topological charges are determined as (ω=+1,1). We also examine the photon spheres of the black hole for different values of the parameter α which showed the photon spheres with topological charge (−1), indicating the preservation of the black hole structure. These results are illustrated and summarized in various figures and tables.
{"title":"Thermodynamic topology of AdS black holes within non-commutative geometry and Barrow entropy","authors":"Aram Bahroz Brzo ,&nbsp;Saeed Noori Gashti ,&nbsp;B. Pourhassan ,&nbsp;S. Beikpour","doi":"10.1016/j.nuclphysb.2025.116840","DOIUrl":"10.1016/j.nuclphysb.2025.116840","url":null,"abstract":"<div><div>In this paper, we explore the thermodynamic topology of Schwarzschild-AdS black holes within the framework of non-commutative geometry and Barrow entropy. We provide an overview of the Schwarzschild-AdS black hole and discuss the significance of Barrow entropy. We determine the topological charges and discuss the implications of topological classifications. Key findings include the impact of the strength of the noncommutative geometry parameter <em>α</em> and deformation parameter <em>δ</em> on the number of topological charges. When <em>δ</em> raised from Barrow entropy is zero, the structure faces Bekenstein-Hawking entropy, resulting in a single topological charge <span><math><mo>(</mo><mi>ω</mi><mo>=</mo><mo>+</mo><mn>1</mn><mo>)</mo></math></span>. However, the presence of parameter <em>δ</em> leads to variations in the number of topological charges. However, with specific values of <em>α</em>, <em>δ</em> the topological charges are determined as <span><math><mo>(</mo><mi>ω</mi><mo>=</mo><mo>+</mo><mn>1</mn><mo>,</mo><mo>−</mo><mn>1</mn><mo>)</mo></math></span>. We also examine the photon spheres of the black hole for different values of the parameter <em>α</em> which showed the photon spheres with topological charge (−1), indicating the preservation of the black hole structure. These results are illustrated and summarized in various figures and tables.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116840"},"PeriodicalIF":2.5,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143420996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A novel approach to baryogenesis in f(Q,Lm) gravity and its cosmological implications f(Q,Lm)引力中重力生成的新方法及其宇宙学意义
IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS Pub Date : 2025-02-13 DOI: 10.1016/j.nuclphysb.2025.116834
Amit Samaddar, S. Surendra Singh
We present an examination of the f(Q,Lm) gravity model, in which the functional form f(Q,Lm)=αQn+βLm is postulated and discuss its potential impact on cosmological dynamics and the phenomenon of gravitational baryogenesis. Combining observational insights from Hubble, BAO and pantheon datasets, we conduct a comprehensive analysis to constrain the model's parameters and determine the baryon-to-entropy ratio ηBs, providing valuable insights into the model's performance and cosmological implications. In the context of baryogenesis and generalized gravitational baryogenesis, we show that setting n=12 leads to a mathematical inconsistency due to the presence of a division by zero arising from the factor (12n) in the denominators. By looking closely at how ηBs changes with n and β, we show that our model predicts a baryon-to-entropy ratio that is both positive and in line with the highest value seen so far, which is 9.42×1011 for 1.32965<n<1.39252, and this value is right for both β and n, with α1.95084×1086. The excellent agreement between our model's predictions and the pantheon dataset demonstrates the model's capacity to accurately describe the physics of baryogenesis and its ability to reproduce the observed features of the cosmological data, showcasing its potential as a reliable tool for understanding the evolution of the Universe.
{"title":"A novel approach to baryogenesis in f(Q,Lm) gravity and its cosmological implications","authors":"Amit Samaddar,&nbsp;S. Surendra Singh","doi":"10.1016/j.nuclphysb.2025.116834","DOIUrl":"10.1016/j.nuclphysb.2025.116834","url":null,"abstract":"<div><div>We present an examination of the <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>,</mo><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub><mo>)</mo></math></span> gravity model, in which the functional form <span><math><mi>f</mi><mo>(</mo><mi>Q</mi><mo>,</mo><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub><mo>)</mo><mo>=</mo><mi>α</mi><msup><mrow><mi>Q</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>+</mo><mi>β</mi><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span> is postulated and discuss its potential impact on cosmological dynamics and the phenomenon of gravitational baryogenesis. Combining observational insights from Hubble, BAO and pantheon datasets, we conduct a comprehensive analysis to constrain the model's parameters and determine the baryon-to-entropy ratio <span><math><mfrac><mrow><msub><mrow><mi>η</mi></mrow><mrow><mi>B</mi></mrow></msub></mrow><mrow><mi>s</mi></mrow></mfrac></math></span>, providing valuable insights into the model's performance and cosmological implications. In the context of baryogenesis and generalized gravitational baryogenesis, we show that setting <span><math><mi>n</mi><mo>=</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span> leads to a mathematical inconsistency due to the presence of a division by zero arising from the factor <span><math><mo>(</mo><mn>1</mn><mo>−</mo><mn>2</mn><mi>n</mi><mo>)</mo></math></span> in the denominators. By looking closely at how <span><math><mfrac><mrow><msub><mrow><mi>η</mi></mrow><mrow><mi>B</mi></mrow></msub></mrow><mrow><mi>s</mi></mrow></mfrac></math></span> changes with <em>n</em> and <em>β</em>, we show that our model predicts a baryon-to-entropy ratio that is both positive and in line with the highest value seen so far, which is <span><math><mn>9.42</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>11</mn></mrow></msup></math></span> for <span><math><mn>1.32965</mn><mo>&lt;</mo><mi>n</mi><mo>&lt;</mo><mn>1.39252</mn></math></span>, and this value is right for both <em>β</em> and <em>n</em>, with <span><math><mi>α</mi><mo>≃</mo><mo>−</mo><mn>1.95084</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>86</mn></mrow></msup></math></span>. The excellent agreement between our model's predictions and the pantheon dataset demonstrates the model's capacity to accurately describe the physics of baryogenesis and its ability to reproduce the observed features of the cosmological data, showcasing its potential as a reliable tool for understanding the evolution of the Universe.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116834"},"PeriodicalIF":2.5,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143420998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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Nuclear Physics B
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