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Advantages of Non-Associative Sedenionic QED Without UV-Divergence and Renormalization: Predictions of Lepton Mass and Magnetic Moment Anomaly
Jau Tang
We propose a non-associative reformulation of quantum electrodynamics (QED) based on octonionic and sedenionic hypercomplex algebras, replacing the conventional associative Clifford algebra and Dirac gamma matrices. In this framework, the associator — a quantity that vanishes in standard QED — becomes physically active, inducing Yukawa-type screening and regulating self-energy divergences. This removes the need for renormalization and resolves the vacuum catastrophe. Lepton masses arise algebraically from associator norms without invoking the Higgs mechanism, yielding accurate predictions for the electron, muon, and tau masses. Likewise, anomalous magnetic moments (g-2)/2 for all three charged leptons emerge naturally from generation-dependent associator corrections, matching experimental values to high precision — including the muon anomaly — without perturbative loop corrections. The model introduces gauge fields valued in non-associative algebras and generalizes the field strength tensor to include commutators and associators. This results in a divergence-free, highly predictive quantum field theory with no adjustable parameters. Our results suggest that non-associativity provides a deeper algebraic foundation for quantum dynamics, encoding mass, anomaly, and vacuum structure in a unified formalism.
We propose a non-associative reformulation of quantum electrodynamics (QED) based on octonionic and sedenionic hypercomplex algebras, replacing the conventional associative Clifford algebra and Dirac gamma matrices. In this framework, the associator — a quantity that vanishes in standard QED — becomes physically active, inducing Yukawa-type screening and regulating self-energy divergences. This removes the need for renormalization and resolves the vacuum catastrophe. Lepton masses arise algebraically from associator norms without invoking the Higgs mechanism, yielding accurate predictions for the electron, muon, and tau masses. Likewise, anomalous magnetic moments (g-2)/2 for all three charged leptons emerge naturally from generation-dependent associator corrections, matching experimental values to high precision — including the muon anomaly — without perturbative loop corrections. The model introduces gauge fields valued in non-associative algebras and generalizes the field strength tensor to include commutators and associators. This results in a divergence-free, highly predictive quantum field theory with no adjustable parameters. Our results suggest that non-associativity provides a deeper algebraic foundation for quantum dynamics, encoding mass, anomaly, and vacuum structure in a unified formalism.
Posted: 07 November 2025
Robust Daytime In Situ Target Strength Estimation of Pacific Hake (Merluccius productus) over a Wide Size Range
Dezhang Chu
,Stephane Gauthier
,Stephen de Blois
,Julia Clemons
,Rebecca Thomas
Posted: 01 October 2025
Crunchiness of Osmotically Dehydrated Freeze-Dried Strawberries
Agata Marzec
,Jolanta Kowalska
,Marcin Korolczuk
,Hanna Kowalska
Posted: 29 September 2025
The Effect of Noise Level in Design Studios on Students
Busra Onay
,Seda Mazlum
,Serife Ebru Okuyucu
,Fatih Mazlum
,Merve Cıftcı
Posted: 22 August 2025
Medical Aerosol Flow Rate Estimation for Smart Inhaler Development
Ivan Mysovskikh
,Mathew Legg
,Moi Tin Chew
,Serge Demidenko
Posted: 21 August 2025
Berlage Oscillator as a Mathematical Model of High-Frequency Geoacoustic Emission with One Dislocation Source
Darya Sergienko
,Roman Parovik
Posted: 21 August 2025
Non-Contact in Situ Estimation of Soil Structure Using Acoustic Reflections
Stuart Bradley
,Chandra Ghimire
Posted: 12 August 2025
A Model for the Dynamics of Stable Gas Bubbles in Viscoelastic Fluids Written in Bubble Volume Variation
Elena V. Carreras-Casanova
,Christian Vanhille
Posted: 01 July 2025
Analysis of Resonance Characteristics of Different Shapes of Birch-Wood Loudspeaker Enclosures
Petr Horák
,Vlastimil Borůvka
Posted: 01 July 2025
Reanalyzing and Reinterpreting a Unique Set of Antarctic Acoustic Frazil Data Using River Frazil Results and Self-Validating 2-Frequency Analyses
John Marko
,David Topham
,David Fissel
Posted: 17 June 2025
An Image Entropy Recurrence Map Based Screening Method for Ultrasound B-Scan Image Segments Containing Defects
Peiqiang Chen
,Qunli Lishen
,Bin Tang
,Chenlong Yang
Posted: 29 April 2025
Characterization and Localization of Micro-Scale Gas Leaks Using an Optomechanical Ultrasound Sensor
Kyle Scheuer
,Ayden Chen
,Ghenesis Teves
,Ray DeCorby
Posted: 25 March 2025
High-Frequency Passive Acoustic Recognition in Underwater Environments: Echo-Based Coding for Layered Elastic Shells
Zixuan Dai
,Zilong Peng
,Suchen Xu
Posted: 03 March 2025
The Italian Ocean Sound Sub-System to Monitor the Soundscape of the Mediterranean Sea
Simone Sanfilippo
,Danilo Luigi Bonanno
,Letizia Stella Di Mauro
,Didac Diego-Tortosa
,Abdelghani Idrissi
,Giorgio Riccobene
,Salvatore Viola
Posted: 03 February 2025
Software Development and Application for Sound Wave Analysis
Eunsung Jekal
,Younju Kim
,Juhyun Ku
,Hyoeun Park
In this paper, we developed our own software that can analyze piano performance by utilizing short-time Fourier transform, non-negative matrix decomposition, and root mean square. In addition, for the reliability of the developed software, we provided results reflecting the characteristics of various performers and signal analysis. In conclusion, it shows the possibility that musical flow and waveform analysis can be visually interpreted in various ways. Based on this, we were also able to derive an additional approach suitable for designing the system to seamlessly connect hearing and vision.
In this paper, we developed our own software that can analyze piano performance by utilizing short-time Fourier transform, non-negative matrix decomposition, and root mean square. In addition, for the reliability of the developed software, we provided results reflecting the characteristics of various performers and signal analysis. In conclusion, it shows the possibility that musical flow and waveform analysis can be visually interpreted in various ways. Based on this, we were also able to derive an additional approach suitable for designing the system to seamlessly connect hearing and vision.
Posted: 13 January 2025
Evaluating the Acoustic Absorption of Modular Green Walls: Laboratory and Field Assessments Using An Impedance Gun
Valentina Oquendo-Di Cosola
,María Ángeles Navacerrada
,Luis Ruiz-García
,Francesca Olivieri
Introducing vegetation is an effective strategy for improving air quality and mitigating the heat island effect. Green façades, which consist of modules that support substrates and various plant species, integrate these elements. This study analyzes the acoustic absorption properties of a specific green wall module using an impedance gun and the Scan and Paint method for laboratory and on-site measurements. The impedance gun method is effective for in-situ analysis, offering advantages over standardized techniques for inhomogeneous samples. We measured the sound absorption coefficient of the substrate and the effects of different plant species. Key findings reveal that the substrate primarily influences sound absorption, with its coefficient increasing with frequency, similar to porous materials Vegetation enhances acoustic absorption of the substrate, depending on coverage and thickness, with 80-90% of absorption attributed to the substrate and 4-20% to vegetation. However, not all dense plant species improve absorption; some configurations may decrease it. Improvement correlates with substrate coverage and vegetation layer thickness, while the impact of plant morphology remains unclear. These findings confirm vegetation's potential as an acoustic absorption tool in urban settings. Additionally, green walls can enhance acoustic comfort in indoor environments such as offices and schools by reducing reverberation. They also improve air quality and provide aesthetic appeal, making them a multifunctional solution for modern architecture.
Introducing vegetation is an effective strategy for improving air quality and mitigating the heat island effect. Green façades, which consist of modules that support substrates and various plant species, integrate these elements. This study analyzes the acoustic absorption properties of a specific green wall module using an impedance gun and the Scan and Paint method for laboratory and on-site measurements. The impedance gun method is effective for in-situ analysis, offering advantages over standardized techniques for inhomogeneous samples. We measured the sound absorption coefficient of the substrate and the effects of different plant species. Key findings reveal that the substrate primarily influences sound absorption, with its coefficient increasing with frequency, similar to porous materials Vegetation enhances acoustic absorption of the substrate, depending on coverage and thickness, with 80-90% of absorption attributed to the substrate and 4-20% to vegetation. However, not all dense plant species improve absorption; some configurations may decrease it. Improvement correlates with substrate coverage and vegetation layer thickness, while the impact of plant morphology remains unclear. These findings confirm vegetation's potential as an acoustic absorption tool in urban settings. Additionally, green walls can enhance acoustic comfort in indoor environments such as offices and schools by reducing reverberation. They also improve air quality and provide aesthetic appeal, making them a multifunctional solution for modern architecture.
Posted: 25 December 2024
Dissonance, Sound Spectrum and Musical Scale for Ancient Idiophones and Aerophones
Victor Etxebarria
Posted: 19 December 2024
Real-Time Speech Recognition Using High-Frequency Micro- 2Doppler Radar
Nezah Balal
,Nati Steinmetz
Posted: 29 November 2024
Influence of Periodically Varying Slit Widths on Sound Absorption by a Slit Pore Medium
Keith Attenborough
Posted: 26 November 2024
New Torsional Surface Elastic Waves in Cylindrical Metamaterial Waveguides for Sensing Applications
Piotr Kielczynski
Posted: 26 November 2024
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