Pub Date : 2024-03-11DOI: 10.13111/2066-8201.2024.16.1.11
Satriya Utama, Deddy El Amin, M. A. Saifudin, Moh. Farid Huzain, Widya Roza, C. T. Judianto, Mohammad Mukhayadi
Low Earth orbit satellites face challenges from Earth's magnetic field, causing attitude disturbances. Attaining a magnetic-dipole-free satellite is crucial. Layout optimization and in-orbit dipole compensation are common methods, but layout optimization can be impractical. In contrast, in-orbit dipole compensation struggles with rapidly changing magnetic dipoles like those from reaction wheel motors. This research proposes an alternative solution using Mu-metal, known for shielding against magnetic exposure. This shield can be applied to trap the magnetic field generated by the motors. Ground tests evaluated this approach. First, it determined the minimum distance between the magnetometer and the shield for accurate measurements with minimal interference, with the result of 10 cm as the least affected distance, particularly important for small satellite layout design. Second, it assessed the shield's effectiveness in trapping the motor-generated magnetic field. Tests showed a significant reduction in magnetic field magnitude and up to a 95% reduction in field fluctuations when the motor is activated. This research offers a practical solution for small satellite layout design, addressing the challenges posed by their compact dimensions. Mu-metal shielding proves effective for mitigating rapidly changing magnetic dipoles and enhancing magnetic cleanliness in low Earth orbit.
{"title":"Magnetic Shielding Implementation in the Small Satellite Reaction Wheel","authors":"Satriya Utama, Deddy El Amin, M. A. Saifudin, Moh. Farid Huzain, Widya Roza, C. T. Judianto, Mohammad Mukhayadi","doi":"10.13111/2066-8201.2024.16.1.11","DOIUrl":"https://doi.org/10.13111/2066-8201.2024.16.1.11","url":null,"abstract":"Low Earth orbit satellites face challenges from Earth's magnetic field, causing attitude disturbances. Attaining a magnetic-dipole-free satellite is crucial. Layout optimization and in-orbit dipole compensation are common methods, but layout optimization can be impractical. In contrast, in-orbit dipole compensation struggles with rapidly changing magnetic dipoles like those from reaction wheel motors. This research proposes an alternative solution using Mu-metal, known for shielding against magnetic exposure. This shield can be applied to trap the magnetic field generated by the motors. Ground tests evaluated this approach. First, it determined the minimum distance between the magnetometer and the shield for accurate measurements with minimal interference, with the result of 10 cm as the least affected distance, particularly important for small satellite layout design. Second, it assessed the shield's effectiveness in trapping the motor-generated magnetic field. Tests showed a significant reduction in magnetic field magnitude and up to a 95% reduction in field fluctuations when the motor is activated. This research offers a practical solution for small satellite layout design, addressing the challenges posed by their compact dimensions. Mu-metal shielding proves effective for mitigating rapidly changing magnetic dipoles and enhancing magnetic cleanliness in low Earth orbit.","PeriodicalId":37556,"journal":{"name":"INCAS Bulletin","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140253154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.13111/2066-8201.2024.16.1.7
Mircea Moraru
n this paper we present a low-order numerical scheme developed using the Proper Orthogonal (POD) method to address non-homogeneous parabolic equations in both one and two dimensions. The proposed schemes leverage the POD technique to reduce the computational complexity associated with solving these equations while maintaining accuracy. By employing POD, the high-dimensional problem is approximated by a reduced set of models, allowing for a more efficient representation of the system dynamics. The application of this method to non-homogenous parabolic equations offers a promising approach for enhancing the computational efficiency of simulations in diverse fields, such as fluid dynamics, heat conduction, and reaction-diffusion processes. The presented numerical scheme demonstrates its efficacy in achieving accurate results with significantly reduced computational costs, making it a valuable tool for applications demanding efficient solutions to non-homogeneous parabolic equations in one and two dimensions.
本文介绍了一种使用正交（POD）方法开发的低阶数值方案，用于求解一维和二维的非均质抛物方程。所提出的方案利用 POD 技术降低了求解这些方程的计算复杂度，同时保持了精度。通过使用 POD，高维问题可以用一组缩小的模型来近似，从而更有效地表示系统动态。将这种方法应用于非同质抛物方程，为提高流体动力学、热传导和反应扩散过程等不同领域的模拟计算效率提供了一种可行的方法。所提出的数值方案证明了其在获得精确结果的同时显著降低计算成本的功效，使其成为要求高效求解一维和二维非均质抛物方程的应用的重要工具。
{"title":"Applying Proper Orthogonal Decomposition to Parabolic Equations: A Reduced Order Numerical Approach","authors":"Mircea Moraru","doi":"10.13111/2066-8201.2024.16.1.7","DOIUrl":"https://doi.org/10.13111/2066-8201.2024.16.1.7","url":null,"abstract":"n this paper we present a low-order numerical scheme developed using the Proper Orthogonal (POD) method to address non-homogeneous parabolic equations in both one and two dimensions. The proposed schemes leverage the POD technique to reduce the computational complexity associated with solving these equations while maintaining accuracy. By employing POD, the high-dimensional problem is approximated by a reduced set of models, allowing for a more efficient representation of the system dynamics. The application of this method to non-homogenous parabolic equations offers a promising approach for enhancing the computational efficiency of simulations in diverse fields, such as fluid dynamics, heat conduction, and reaction-diffusion processes. The presented numerical scheme demonstrates its efficacy in achieving accurate results with significantly reduced computational costs, making it a valuable tool for applications demanding efficient solutions to non-homogeneous parabolic equations in one and two dimensions.","PeriodicalId":37556,"journal":{"name":"INCAS Bulletin","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140253282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.13111/2066-8201.2024.16.1.12
Akhmad Farid Widodo, F. S. Pranoto, I. E. Putro, E. D. Arisandi
This paper proposes an improved actuator system model for UAV elevators using multibody dynamics simulation. The multibody dynamics simulation employs the Simscape Multibody, module in MATLAB coupled with Simulink to model the servo and hinge moment calculation. The actuator system comprises an electrical servo and mechanical components, including arms, push rods, horns, and the elevator. The electrical servo is modeled using a PID controller and a simplified motor model. The multibody dynamics simulation is employed to capture the dynamics of the mechanical components, coupled with the electrical servo through torque delivery to the mechanical components. The simulation is applied to the elevator of a medium altitude long endurance (MALE) UAV with a Maximum Take Off Weight of 1300 Kg. Generating these quantities provide a benefit in capturing the operational envelope of the servo to be compared to its limitations. Given the features of this simulation, it is proposed to extend the research by integrating this method with flight dynamics simulation.
{"title":"Enhancing UAV elevator actuator model using multibody dynamics simulation","authors":"Akhmad Farid Widodo, F. S. Pranoto, I. E. Putro, E. D. Arisandi","doi":"10.13111/2066-8201.2024.16.1.12","DOIUrl":"https://doi.org/10.13111/2066-8201.2024.16.1.12","url":null,"abstract":"This paper proposes an improved actuator system model for UAV elevators using multibody dynamics simulation. The multibody dynamics simulation employs the Simscape Multibody, module in MATLAB coupled with Simulink to model the servo and hinge moment calculation. The actuator system comprises an electrical servo and mechanical components, including arms, push rods, horns, and the elevator. The electrical servo is modeled using a PID controller and a simplified motor model. The multibody dynamics simulation is employed to capture the dynamics of the mechanical components, coupled with the electrical servo through torque delivery to the mechanical components. The simulation is applied to the elevator of a medium altitude long endurance (MALE) UAV with a Maximum Take Off Weight of 1300 Kg. Generating these quantities provide a benefit in capturing the operational envelope of the servo to be compared to its limitations. Given the features of this simulation, it is proposed to extend the research by integrating this method with flight dynamics simulation.","PeriodicalId":37556,"journal":{"name":"INCAS Bulletin","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140252672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.13111/2066-8201.2024.16.1.6
F. Marin, D. Buruiana, Viorica Ghisman, M. Marin
In this paper we present a Computational Fluid Dynamics (CFD) simulations for the case of natural gas explosion in urban area. Blast simulations aid in the development of effective mitigation strategies. By understanding how blast waves propagate through an urban environment, authorities can implement measures such as barriers, protective shields, strategies for firefighting strategy or evacuation plans to minimize damage and casualties. Accurate simulations provide insights into the potential impact of a blast on surrounding infrastructure and populations. This information is crucial for emergency response planning, helping authorities to allocate resources and respond effectively to minimize the consequences of an explosion.
{"title":"CFD modeling for urban blast simulation","authors":"F. Marin, D. Buruiana, Viorica Ghisman, M. Marin","doi":"10.13111/2066-8201.2024.16.1.6","DOIUrl":"https://doi.org/10.13111/2066-8201.2024.16.1.6","url":null,"abstract":"In this paper we present a Computational Fluid Dynamics (CFD) simulations for the case of natural gas explosion in urban area. Blast simulations aid in the development of effective mitigation strategies. By understanding how blast waves propagate through an urban environment, authorities can implement measures such as barriers, protective shields, strategies for firefighting strategy or evacuation plans to minimize damage and casualties. Accurate simulations provide insights into the potential impact of a blast on surrounding infrastructure and populations. This information is crucial for emergency response planning, helping authorities to allocate resources and respond effectively to minimize the consequences of an explosion.","PeriodicalId":37556,"journal":{"name":"INCAS Bulletin","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140252683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.13111/2066-8201.2024.16.1.2
Ionuț Bunescu, Mihai-Victor Pricop, M. Stoican, Mihai-Vlăduţ Hothazie
The free rotation method represents the simplest method for roll damping coefficient identification in experimental aerodynamics. To apply this method, it is necessary to spin the model to a desired angular velocity and then release the model to spin freely under flow conditions, recording the variation in time of the model’s rolling rate. Thus, applying the logarithmic decrement formula at any roll rate between near zero and the desired angular velocity, the roll damping moment will be calculated. This paper presents the application of the free rotation method on raw data obtained for different Mach numbers and incidences, considering different regression functions, time windows and their implications. Last but not least, the necessary correction methods and their impact on the results are presented.
{"title":"Identification of roll damping coefficient using the free rotation method","authors":"Ionuț Bunescu, Mihai-Victor Pricop, M. Stoican, Mihai-Vlăduţ Hothazie","doi":"10.13111/2066-8201.2024.16.1.2","DOIUrl":"https://doi.org/10.13111/2066-8201.2024.16.1.2","url":null,"abstract":"The free rotation method represents the simplest method for roll damping coefficient identification in experimental aerodynamics. To apply this method, it is necessary to spin the model to a desired angular velocity and then release the model to spin freely under flow conditions, recording the variation in time of the model’s rolling rate. Thus, applying the logarithmic decrement formula at any roll rate between near zero and the desired angular velocity, the roll damping moment will be calculated. This paper presents the application of the free rotation method on raw data obtained for different Mach numbers and incidences, considering different regression functions, time windows and their implications. Last but not least, the necessary correction methods and their impact on the results are presented.","PeriodicalId":37556,"journal":{"name":"INCAS Bulletin","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140252532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.13111/2066-8201.2024.16.1.10
Andrei Totu, Cristian-Teodor Olariu, Andreea-Catalina Totu, Andrei-Tudor Trifu
Noise reduction is a problem of great global interest, as we are surrounded by machines that produce noise emissions in one way or another. The 20th century saw the start of a strong development in noise reduction methods, with different methods being developed over the years, but the greatest advances in their application have been seen in recent decades. The proposed solution aims to solve the limitations of classic noise attenuators by combining two effects, destructive interference and Helmholtz resonator, and introducing a slightly atypical geometry compared to classic designs. The proposed geometry was mathematically defined a long time ago, but in recent years it has become of great interest in various fields, from CO2 capture to heat exchangers.
{"title":"Noise silencer design using triply periodic minimal surfaces","authors":"Andrei Totu, Cristian-Teodor Olariu, Andreea-Catalina Totu, Andrei-Tudor Trifu","doi":"10.13111/2066-8201.2024.16.1.10","DOIUrl":"https://doi.org/10.13111/2066-8201.2024.16.1.10","url":null,"abstract":"Noise reduction is a problem of great global interest, as we are surrounded by machines that produce noise emissions in one way or another. The 20th century saw the start of a strong development in noise reduction methods, with different methods being developed over the years, but the greatest advances in their application have been seen in recent decades. The proposed solution aims to solve the limitations of classic noise attenuators by combining two effects, destructive interference and Helmholtz resonator, and introducing a slightly atypical geometry compared to classic designs. The proposed geometry was mathematically defined a long time ago, but in recent years it has become of great interest in various fields, from CO2 capture to heat exchangers.","PeriodicalId":37556,"journal":{"name":"INCAS Bulletin","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140252301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.13111/2066-8201.2024.16.1.3
D. Constantin, L. Preda, A. A. Mocanu, D. Popescu, D. Pricopi, V. I. Niculescu
Our work utilizes the quantum model of the hydrogen atom which is based on the Schrödinger equation with Coulomb potential. Specifically, we concentrate on the angular components of the wave eigenfunctions derived from this model. We consider the quantum states with n ≤ 4. In order to visualize the orbital shapes of these states, we built in the spherical coordinates system their 3D geometric representations. Furthermore, we use the corresponding spherical harmonics, to calculate the θ nodal values that describe the configurations of these orbital states.
我们的研究利用了基于库仑势的薛定谔方程的氢原子量子模型。具体来说，我们专注于从该模型推导出的波特征函数的角分量。我们考虑 n ≤ 4 的量子态。为了直观地显示这些状态的轨道形状，我们在球坐标系中建立了它们的三维几何表示。此外，我们还利用相应的球面谐波来计算描述这些轨道态构型的 θ 节点值。
{"title":"The quantum states for Hydrogen atom: spherical harmonics and the orbitals geometrical representation","authors":"D. Constantin, L. Preda, A. A. Mocanu, D. Popescu, D. Pricopi, V. I. Niculescu","doi":"10.13111/2066-8201.2024.16.1.3","DOIUrl":"https://doi.org/10.13111/2066-8201.2024.16.1.3","url":null,"abstract":"Our work utilizes the quantum model of the hydrogen atom which is based on the Schrödinger equation with Coulomb potential. Specifically, we concentrate on the angular components of the wave eigenfunctions derived from this model. We consider the quantum states with n ≤ 4. In order to visualize the orbital shapes of these states, we built in the spherical coordinates system their 3D geometric representations. Furthermore, we use the corresponding spherical harmonics, to calculate the θ nodal values that describe the configurations of these orbital states.","PeriodicalId":37556,"journal":{"name":"INCAS Bulletin","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140253899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.13111/2066-8201.2024.16.1.4
Mohammed Amine Djeffal, N. Benamara, Abdelkader Lahcene, Ali Benouar, A. Boulenouar, Mohammed Merzoug
A comparative study of supercritical heat transfer in a regeneratively cooled rocket engine was conducted using three-dimensional numerical simulations for two channel geometries: rectangular and square. Various constant heat fluxes, flow velocities, and operating pressures were imposed to study their effect on heat transfer, pressure losses, and the conditions under which heat transfer deterioration HTD occurs. The results show that a rectangular channel is more efficient in terms of heat transfer than a square channel, with a more pronounced difference at high heat fluxes and low velocities, these conditions, in fact, favored the occurrence of heat transfer deterioration, particularly in the square channel. Increasing the flow velocities to reduce the wall temperature and prevent thermal deterioration was accompanied by a significant increase in pressure losses, these pressure losses are greater in the rectangular channel, despite its advantages in terms of heat transfer. Operating pressure also plays an important role in heat transfer, increasing the pressure results in a decrease in wall temperature.
{"title":"Numerical Analysis of a Supercritical Heat Transfer of Cryogenic Methane in Regeneratively Cooled Rocket Engine","authors":"Mohammed Amine Djeffal, N. Benamara, Abdelkader Lahcene, Ali Benouar, A. Boulenouar, Mohammed Merzoug","doi":"10.13111/2066-8201.2024.16.1.4","DOIUrl":"https://doi.org/10.13111/2066-8201.2024.16.1.4","url":null,"abstract":"A comparative study of supercritical heat transfer in a regeneratively cooled rocket engine was conducted using three-dimensional numerical simulations for two channel geometries: rectangular and square. Various constant heat fluxes, flow velocities, and operating pressures were imposed to study their effect on heat transfer, pressure losses, and the conditions under which heat transfer deterioration HTD occurs. The results show that a rectangular channel is more efficient in terms of heat transfer than a square channel, with a more pronounced difference at high heat fluxes and low velocities, these conditions, in fact, favored the occurrence of heat transfer deterioration, particularly in the square channel. Increasing the flow velocities to reduce the wall temperature and prevent thermal deterioration was accompanied by a significant increase in pressure losses, these pressure losses are greater in the rectangular channel, despite its advantages in terms of heat transfer. Operating pressure also plays an important role in heat transfer, increasing the pressure results in a decrease in wall temperature.","PeriodicalId":37556,"journal":{"name":"INCAS Bulletin","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140252601","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.13111/2066-8201.2024.16.1.8
A. -. I. Paraschiv
This investigation examines the influence of Laval nozzle geometry on thrust production using the method of characteristics. It explores various divergent section configurations, analyzing their impact on nozzle design and performance. Comparative analysis of software tools, study of supersonic flow phenomena, and application of the method of characteristics form the core of this research. Findings showcase strong agreement between computational tools, emphasizing the Mach number's role in divergent section shape variations and thrust force. Additionally, the study scrutinizes over-expansion and under-expansion phenomena, validated through computational simulations. Future research should be aimed at enhancing computational methodologies and investigating additional parameters affecting nozzle performance, promising advancements in rocket propulsion technology.
{"title":"The impact of the Laval nozzle shape on thrust production, using the method of characteristics","authors":"A. -. I. Paraschiv","doi":"10.13111/2066-8201.2024.16.1.8","DOIUrl":"https://doi.org/10.13111/2066-8201.2024.16.1.8","url":null,"abstract":"This investigation examines the influence of Laval nozzle geometry on thrust production using the method of characteristics. It explores various divergent section configurations, analyzing their impact on nozzle design and performance. Comparative analysis of software tools, study of supersonic flow phenomena, and application of the method of characteristics form the core of this research. Findings showcase strong agreement between computational tools, emphasizing the Mach number's role in divergent section shape variations and thrust force. Additionally, the study scrutinizes over-expansion and under-expansion phenomena, validated through computational simulations. Future research should be aimed at enhancing computational methodologies and investigating additional parameters affecting nozzle performance, promising advancements in rocket propulsion technology.","PeriodicalId":37556,"journal":{"name":"INCAS Bulletin","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140253611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-03-11DOI: 10.13111/2066-8201.2024.16.1.5
H. Dumitrescu, V. Cardoş, Radu Bogateanu
The Cartesian dualism is a precursor to Euler’s complex theory, that completes the Descartes-Leibnitz monadic conception using the natural quanta (non-splitting e, π) along with their topological torsion in the form of dual isomorphism. The complete Euler’s identity controls a bounded regenerative/ recurrent multiverse (a kind of multigraph) by two regenerative exponential functions, one quantic, e = exp (1) and another gravitational, g0 ≡ 10 = exp (1) with the fixed points, g0 = π2 and (g0g0) respectively. Physically, the fixed points give the well-defined the unit gravity (g0 m/s2) and light self-ignition velocity of a stable recurrent self-sustained process, provided the rate of mass production just equals the rate removal. This is the Euler’s fictitious regenerative universe - like our world, a quantum autocatalytic reaction system. The present paper describes such a system controlled by thermal gravitational waves, in the case the critical solar system.
{"title":"The Euler’s harmonic holomorphic regenerative universe","authors":"H. Dumitrescu, V. Cardoş, Radu Bogateanu","doi":"10.13111/2066-8201.2024.16.1.5","DOIUrl":"https://doi.org/10.13111/2066-8201.2024.16.1.5","url":null,"abstract":"The Cartesian dualism is a precursor to Euler’s complex theory, that completes the Descartes-Leibnitz monadic conception using the natural quanta (non-splitting e, π) along with their topological torsion in the form of dual isomorphism. The complete Euler’s identity controls a bounded regenerative/ recurrent multiverse (a kind of multigraph) by two regenerative exponential functions, one quantic, e = exp (1) and another gravitational, g0 ≡ 10 = exp (1) with the fixed points, g0 = π2 and (g0g0) respectively. Physically, the fixed points give the well-defined the unit gravity (g0 m/s2) and light self-ignition velocity of a stable recurrent self-sustained process, provided the rate of mass production just equals the rate removal. This is the Euler’s fictitious regenerative universe - like our world, a quantum autocatalytic reaction system. The present paper describes such a system controlled by thermal gravitational waves, in the case the critical solar system.","PeriodicalId":37556,"journal":{"name":"INCAS Bulletin","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140251976","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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