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God Time = Planck Time: Finally Detected! And Its Relation to Hubble Time
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作者 Espen Gaarder Haug 《Open Journal of Microphysics》 2024年第2期40-66,共27页
Newton already mentioned indivisible time in Principia. In 1899, Max Planck derived a unique time period from three universal constants: G, c, and ħ, and today this is known as the Planck time. The Planck time is of t... Newton already mentioned indivisible time in Principia. In 1899, Max Planck derived a unique time period from three universal constants: G, c, and ħ, and today this is known as the Planck time. The Planck time is of the order of about 10<sup>−44</sup> seconds while the best atomic clocks are down to 10<sup>−19</sup> seconds. An approach has recently been outlined that puts an upper limit on the quantization of time to 10<sup>−33</sup> seconds;this is, however, still far away from the Planck time. We demonstrate that the Planck time can easily be measured without any knowledge of any other physical constants. This is remarkable as this means we have demonstrated that the Planck time and therefore the Planck scale is real and detectable. It has taken more than 100 years to understand this. The reason for the breakthrough in Planck scale physics in recent years comes from understanding that G is a composite constant and that the true matter wavelength is the Compton wavelength rather than the de Broglie wavelength. When this is understood, the mysteries of the Planck scale can be uncovered. In this paper, we also demonstrate how to measure the number of Planck events in a gravitational mass without relying on any constants. This directly relates to a new and simple method for quantizing general relativity theory that we also will shortly discuss. 展开更多
关键词 planck Time Fundamental Time Indivisible Time NEWTON planck Length Quantum Gravity
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一种三维Poisson-Nernst-Planck方程的虚单元计算
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作者 丁聪 刘杨 +1 位作者 阳莺 沈瑞刚 《吉林大学学报(理学版)》 CAS 北大核心 2024年第2期293-301,共9页
利用虚单元方法在多面体网格上求解一种三维稳态Poisson-Nernst-Planck(PNP)方程,并给出PNP方程的虚单元离散形式,推导电势方程及离子浓度方程的刚度矩阵与荷载向量的矩阵表达式.数值实验结果表明,在3种不同的多面体网格下实现了PNP方... 利用虚单元方法在多面体网格上求解一种三维稳态Poisson-Nernst-Planck(PNP)方程,并给出PNP方程的虚单元离散形式,推导电势方程及离子浓度方程的刚度矩阵与荷载向量的矩阵表达式.数值实验结果表明,在3种不同的多面体网格下实现了PNP方程的虚单元计算,数值解在L^(2)和H^(1)范数下均达到最优阶. 展开更多
关键词 Poisson-Nernst-planck方程 虚单元方法 多面体网格 三维
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一类含时Poisson-Nernst-Planck方程的虚单元计算
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作者 刘亚 阳莺 《桂林电子科技大学学报》 2024年第1期1-6,共6页
针对一类含时Poisson-Nernst-Planck(PNP)方程,为避免在解决实际问题时有限元法中的网格适应性问题,构造了L^(2)投影算子与Gummel迭代相结合的虚单元算法。该算法允许以更简单的方式设计和分析新的格式,可以灵活处理各种网格,对于多边... 针对一类含时Poisson-Nernst-Planck(PNP)方程,为避免在解决实际问题时有限元法中的网格适应性问题,构造了L^(2)投影算子与Gummel迭代相结合的虚单元算法。该算法允许以更简单的方式设计和分析新的格式,可以灵活处理各种网格,对于多边形或多面体单元甚至非凸单元组成的网格剖分都可以很好地处理,使得虚单元法可以适应于任意多边形网格,大大降低了网格的生成难度。给出了虚单元算法在三角形网格、四边形网格、非凸网格下的数值算例。数值实验结果表明,在这3种多边形网格上,L^(2)和H^(1)模的收敛阶分别为二阶和一阶,均达到了最优阶。 展开更多
关键词 Poisson-Nernst-planck方程 虚单元算法 L^(2)投影 Gummel迭代 L^(2)模 H^(1)模
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一类非线性Poisson-Nernst-Planck方程的边平均有限元计算
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作者 卢晓婷 阳莺 《桂林电子科技大学学报》 2024年第1期81-86,共6页
针对一类非线性Poisson-Nernst-Planck数学模型,为提高数值求解效率并保证数值求解稳定性,推导了边平均有限元离散格式,并给出了数值求解的耦合迭代算法。在对网格进行一些适当假设的情况下,边平均有限元离散格式的刚度矩阵是一个M-阵,... 针对一类非线性Poisson-Nernst-Planck数学模型,为提高数值求解效率并保证数值求解稳定性,推导了边平均有限元离散格式,并给出了数值求解的耦合迭代算法。在对网格进行一些适当假设的情况下,边平均有限元离散格式的刚度矩阵是一个M-阵,数值求解比标准有限元方法更稳定。数值结果表明,边平均有限元方法的L^(2)模误差收敛阶达到最优阶,且在自由度相同情况下,边平均有限元方法所用CPU时间大约是标准有限元方法的1/3。 展开更多
关键词 非线性Poisson-Nernst-planck方程 边平均有限元方法 标准有限元方法
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一类含时Poisson-Nernst-Planck方程的时间自适应计算
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作者 韦鹏 沈瑞刚 《吉林大学学报(理学版)》 CAS 北大核心 2024年第6期1352-1358,共7页
基于相邻时间步的时间自适应有限元方法求解一类含时Poisson-Nernst-Planc k(PNP)方程,以加速求解含有多种离子的二维PNP方程的长时间数值模拟效率.数值实验结果表明,该方法在两种数值格式下都可以有效加速计算,对于长时间PNP方程的数... 基于相邻时间步的时间自适应有限元方法求解一类含时Poisson-Nernst-Planc k(PNP)方程,以加速求解含有多种离子的二维PNP方程的长时间数值模拟效率.数值实验结果表明,该方法在两种数值格式下都可以有效加速计算,对于长时间PNP方程的数值计算有效. 展开更多
关键词 Poisson-Nernst-planck方程 有限元方法 时间自适应 数值计算
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Elementary Fermions: Strings, Planck Constant, Preons and Hypergluons
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作者 Doron Kwiat 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2024年第1期82-100,共19页
Using real fields instead of complex ones, it is suggested here that the fermions are pairs of coupled strings with an internal tension. The interaction between the two coupled strings is due to an exchange mechanism ... Using real fields instead of complex ones, it is suggested here that the fermions are pairs of coupled strings with an internal tension. The interaction between the two coupled strings is due to an exchange mechanism which is proportional to Planck’s constant. This may be the result of two massless bosons (hypergluons) coupled by a preon (prequark) exchange. It also gives a physical explanation to the origin of the Planck constant, and origin of spin. 展开更多
关键词 FERMIONS Preons Hypergluons Strings Real Fields planck Constant INTERFERENCE SPIN
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Gedankenexperiment for Modified ZPE and Planck’s “Constant”, h, in the Beginning of Cosmological Expansion, Partly Due to NLED
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作者 Andrew Walcott Beckwith 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2024年第1期180-184,共5页
We initially look at a non singular universe representation of entropy, based in part on what was brought up by Muller and Lousto. This is a gateway to bringing up information and computational steps (as defined by Se... We initially look at a non singular universe representation of entropy, based in part on what was brought up by Muller and Lousto. This is a gateway to bringing up information and computational steps (as defined by Seth Lloyd) as to what would be available initially due to a modified ZPE formalism. The ZPE formalism is modified as due to Matt Visser’s alternation of k (maximum) ~ 1/(Planck length), with a specific initial density giving rise to initial information content which may permit fixing the initial Planck’s constant, h, which is pivotal to the setting of physical law. The settings of these parameters depend upon NLED. 展开更多
关键词 ZPE planck’s “Constant” Gedankenexperiment NLED
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On Scalar Planck Waves
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作者 Lewis Nash 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2024年第4期1551-1563,共13页
The sound of space-time at the large scale is observed in the form of gravitational waves, which are disturbances in space-time produced by wavelike distortions (or kinks) in the gravitational field of an accelerating... The sound of space-time at the large scale is observed in the form of gravitational waves, which are disturbances in space-time produced by wavelike distortions (or kinks) in the gravitational field of an accelerating parcel or distribution of energy. In this study, we investigate a hypothetical wave mode of quantum space-time, which suggests the existence of scalar Planck waves. According to this hypothesis, the sound of quantum space-time corresponds to kinks propagating in the gravitational displacement field of an oscillating energy density. In evaluating the emission of scalar Planck waves and their effect on the geometry of space-time, one finds that they not only transport a vanishingly small amount of energy but can also be used to simulate gravity. 展开更多
关键词 Scalar planck Waves Quantum Space-Time Dynamics Gravitational Waves Gravitational Displacement Field Artificial Gravity
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Curved Space-Time at the Planck Scale
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作者 Lewis Nash 《Journal of High Energy Physics, Gravitation and Cosmology》 CAS 2024年第1期167-179,共13页
This paper presents a physically plausible and somewhat illuminating first step in extending the fundamental principles of mechanical stress and strain to space-time. Here the geometry of space-time, encoded in the me... This paper presents a physically plausible and somewhat illuminating first step in extending the fundamental principles of mechanical stress and strain to space-time. Here the geometry of space-time, encoded in the metric tensor, is considered to be made up of a dynamic lattice of extremely small, localized fields that form a perfectly elastic Lorentz symmetric space-time at the global (macroscopic) scale. This theoretical model of space-time at the Planck scale leads to a somewhat surprising result in which matter waves in curved space-time radiate thermal gravitational energy, as well as an equally intriguing relationship for the anomalous dispersion of light in a gravitational field. 展开更多
关键词 Schwarzschild Space-Time Continuum Mechanics planck Lattice Gravitational Radiation
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Poisson-Nernst-Planck方程组大解的整体存在性的一个新证明方法
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作者 陈浩 靳荣 赵继红 《宝鸡文理学院学报(自然科学版)》 CAS 2024年第3期1-4,共4页
目的研究来源于半导体理论中刻画带电粒子漂移和扩散现象的Poisson-Nernst-Planck方程组,建立该方程组大解的整体存在性。方法利用加权法、扰动法和反证法进行研究。结果通过引入新的权函数建立了扰动方程在Chemin-Lerner混合时空空间... 目的研究来源于半导体理论中刻画带电粒子漂移和扩散现象的Poisson-Nernst-Planck方程组,建立该方程组大解的整体存在性。方法利用加权法、扰动法和反证法进行研究。结果通过引入新的权函数建立了扰动方程在Chemin-Lerner混合时空空间中的非线性估计,然后利用反证法建立了Poisson-Nernst-Planck方程组大解的整体存在性。结论2类带电粒子密度函数之差在适定性理论中起着更重要的作用。 展开更多
关键词 Poisson-Nernst-planck方程组 大解 整体存在性 BESOV空间
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The Hawking Hubble Temperature as the Minimum Temperature, the Planck Temperature as the Maximum Temperature, and the CMB Temperature as Their Geometric Mean Temperature
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作者 Espen Gaarder Haug Eugene Terry Tatum 《Journal of Applied Mathematics and Physics》 2024年第10期3328-3348,共21页
Using a rigorous mathematical approach, we demonstrate how the Cosmic Microwave Background (CMB) temperature could simply be a form of geometric mean temperature between the minimum time-dependent Hawking Hubble tempe... Using a rigorous mathematical approach, we demonstrate how the Cosmic Microwave Background (CMB) temperature could simply be a form of geometric mean temperature between the minimum time-dependent Hawking Hubble temperature and the maximum Planck temperature of the expanding universe over the course of cosmic time. This mathematical discovery suggests a re-consideration of Rh=ctcosmological models, including black hole cosmological models, even if it possibly could also be consistent with the Λ-CDM model. Most importantly, this paper contributes to the growing literature in the past year asserting a tightly constrained mathematical relationship between the CMB temperature, the Hubble constant, and other global parameters of the Hubble sphere. Our approach suggests a solid theoretical framework for predicting and understanding the CMB temperature rather than solely observing it.1. 展开更多
关键词 Hawking Temperature planck Temperature CMB Temperature Geometric Mean Compton Wavelength Hubble Sphere Cosmological Models
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Planck Quantised General Relativity Theory Written on Different Forms
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作者 Espen Gaarder Haug 《Journal of Applied Mathematics and Physics》 2024年第6期2281-2301,共21页
This paper is a brief review of our work on the Planck quantized version of general relativity theory. It demonstrates several straightforward methods to rewrite the same equations that we have already presented in ot... This paper is a brief review of our work on the Planck quantized version of general relativity theory. It demonstrates several straightforward methods to rewrite the same equations that we have already presented in other papers. We also explore a relatively new general relativity-inspired field equation based on the original Newtonian mass, which is very different from today’s kilogram mass. Additionally, we examine two other field equations based on collision space-time, where both energy and matter can be described simply as space and time. We are thereby fulfilling Einstein’s dream of a theory where energy and mass are not needed, or are just aspects of space and time. If this is extended beyond the 4-dimensional space-time formalism of general relativity theory to a 6-dimensional framework with 3 space dimensions and 3 time dimensions, this ultimately reveals that they are two sides of the same coin. In reality, it is a three-dimensional space-time theory, where space and time are just two sides of the same coin. 展开更多
关键词 General Relativity planck Quantization Compton Frequency Composite Constant G Quantum Gravity Unification Collision Space-Time
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Upsilon Constants and Their Usefulness in Planck Scale Quantum Cosmology
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作者 Eugene Terry Tatum 《Journal of Modern Physics》 2024年第2期167-173,共7页
This paper introduces the two Upsilon constants to the reader. Their usefulness is described with respect to acting as coupling constants between the CMB temperature and the Hubble constant. In addition, this paper su... This paper introduces the two Upsilon constants to the reader. Their usefulness is described with respect to acting as coupling constants between the CMB temperature and the Hubble constant. In addition, this paper summarizes the current state of quantum cosmology with respect to the Flat Space Cosmology (FSC) model. Although the FSC quantum cosmology formulae were published in 2018, they are only rearrangements and substitutions of the other assumptions into the original FSC Hubble temperature formula. In a real sense, this temperature formula was the first quantum cosmology formula developed since Hawking’s black hole temperature formula. A recent development in the last month proves that the FSC Hubble temperature formula can be derived from the Stephan-Boltzmann law. Thus, this Hubble temperature formula effectively unites some quantum developments with the general relativity model inherent in FSC. More progress towards unification in the near-future is expected. 展开更多
关键词 Quantum Cosmology Hubble Constant planck Scale Upsilon Constant Flat Space Cosmology Black Holes CMB Temperature ΛCDM Cosmology Quantum Gravity Unification
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How to Predict the Temperature of the CMB Directly Using the Hubble Parameter and the Planck Scale Using the Stefan-Boltzmann Law
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作者 Espen Gaarder Haug Stéphane Wojnow 《Journal of Applied Mathematics and Physics》 2024年第10期3552-3566,共15页
Based on recent progress in quantum gravity and quantum cosmology, we are also presenting a way to estimate the temperature in the cosmos, the Hubble sphere, from a relation between the Planck temperature and the Hubb... Based on recent progress in quantum gravity and quantum cosmology, we are also presenting a way to estimate the temperature in the cosmos, the Hubble sphere, from a relation between the Planck temperature and the Hubble scale. Our analysis predicts the Hubble sphere temperature of 2.72 K with the one standard deviation confidence interval between 2.65 K and 2.80 K, which corresponds well with the measured temperature observed from the cosmic microwave background (CMB) of about 2.72 K. This adds evidence that there is a close connection between the Planck scale, gravity, and the cosmological scales as anticipated by Eddington already in 1918.1. 展开更多
关键词 CMB Temperature Hubble Parameter Stefan-Boltzmann Law planck Scale
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The Planck Constant and Its Relation to the Compton Frequency
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作者 Espen Gaarder Haug 《Journal of Applied Mathematics and Physics》 2024年第1期168-180,共13页
The Planck constant is considered one of the most important universal constants of physics, and despite all we know much about it, the physical nature of it has not been fully understood. Further investigation and new... The Planck constant is considered one of the most important universal constants of physics, and despite all we know much about it, the physical nature of it has not been fully understood. Further investigation and new perspectives on the Planck constant should therefore be of interest. We demonstrate that the Planck constant also can be directly linked to the Compton frequency of one, which again is divided by the Compton frequency in one kg. If this is right, it means also the Planck constant is linked to quantization of matter, not only energy. However, as we will show the frequency of one when expressed in relation to kg will be observational time dependent. This means the missing mass gap surprisingly both is equal to the Planck mass, which is larger than any known particle and also it is linked to a very small mass that again is equal to what has been suggested as the photon mass in the existing literature. This new view could be an important step forward in understanding the physical nature of the Planck constant as well as the mass gap and even the rest mass of a photon. 展开更多
关键词 planck Constant Compton Frequency ELECTRON Proton Count
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A New Interpretation of the Higgs Vacuum Potential Energy Based on a Planckion Composite Model for the Higgs
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作者 Christopher Pilot 《Journal of High Energy Physics, Gravitation and Cosmology》 2023年第3期666-683,共18页
We present a new interpretation of the Higgs field as a composite particle made up of a positive, with, a negative mass Planck particle. According to the Winterberg hypothesis, space, i.e., the vacuum, consists of bot... We present a new interpretation of the Higgs field as a composite particle made up of a positive, with, a negative mass Planck particle. According to the Winterberg hypothesis, space, i.e., the vacuum, consists of both positive and negative physical massive particles, which he called planckions, interacting through strong superfluid forces. In our composite model for the Higgs boson, there is an intrinsic length scale associated with the vacuum, different from the one introduced by Winterberg, where, when the vacuum is in a perfectly balanced state, the number density of positive Planck particles equals the number density of negative Planck particles. Due to the mass compensating effect, the vacuum thus appears massless, chargeless, without pressure, energy density, or entropy. However, a situation can arise where there is an effective mass density imbalance due to the two species of Planck particle not matching in terms of populations, within their respective excited energy states. This does not require the physical addition or removal of either positive or negative Planck particles, within a given region of space, as originally thought. Ordinary matter, dark matter, and dark energy can thus be given a new interpretation as residual vacuum energies within the context of a greater vacuum, where the populations of the positive and negative energy states exactly balance. In the present epoch, it is estimated that the dark energy number density imbalance amounts to, , per cubic meter, when cosmic distance scales in excess of, 100 Mpc, are considered. Compared to a strictly balanced vacuum, where we estimate that the positive, and the negative Planck number density, is of the order, 7.85E54 particles per cubic meter, the above is a very small perturbation. This slight imbalance, we argue, would dramatically alleviate, if not altogether eliminate, the long standing cosmological constant problem. 展开更多
关键词 Winterberg Model planck Particles Positive and Negative Mass planck Particles planckions Quantum Vacuum Space as a Superfluid/Supersolid Extended Models for Space Cosmological Constant Higgs Field as a Composite Particle Higgs Boson Inherent Length Scale for the Vacuum Dark Energy
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讲好量子力学绪论课从Planck公式推证开始 被引量:1
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作者 王美玉 邸冰 白彦魁 《物理通报》 CAS 2023年第4期17-20,共4页
从量子力学绪论课的开端——黑体辐射入手,在普朗克能量量子化假说,引入普朗克常数基础上,结合完善的热力学统计物理学理论,对Planck辐射公式进行了简单、清晰的推证.拨开迷雾,从源头开始,阐明Planck辐射定律及其物理背景,使学生明白量... 从量子力学绪论课的开端——黑体辐射入手,在普朗克能量量子化假说,引入普朗克常数基础上,结合完善的热力学统计物理学理论,对Planck辐射公式进行了简单、清晰的推证.拨开迷雾,从源头开始,阐明Planck辐射定律及其物理背景,使学生明白量子论的产生不是凭空的,是解决经典物理学中所存在的矛盾的必然性结果,从而能够帮助学生更好地理解量子力学,使得量子力学及相关课程教学效果得到很好的提升. 展开更多
关键词 黑体辐射 量子化假说 planck公式
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New Planck’s Law
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作者 Dan Liu Bill 《Journal of Applied Mathematics and Physics》 2023年第3期721-736,共16页
In quantum mechanics, there are two very famous formulas. One is the energy formula of the bose particle, called Planck’s law. The other is the wavelength formula, which is called the de Broy wavelength. According to... In quantum mechanics, there are two very famous formulas. One is the energy formula of the bose particle, called Planck’s law. The other is the wavelength formula, which is called the de Broy wavelength. According to Einstein’s mass-energy equation, we have studied Planck’s law and De Bloy’s wavelength, and generalized it to the De Bloy’s wavelength formula from low speed to light speed. Then, on this basis, the smallest particle is defined as mass quantum. The new wavelength formula is obtained from the mass quantum and converted into the frequency formula. The generalized Planck’s law is obtained. 展开更多
关键词 Quantum Mechanics planck’s Law Einstein’s Mass and Energy Equation Debroy Wavelength Generalized planck’s Law
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Planck Scale Fluid Mechanics: Measuring the Planck Length from Fluid Mechanics Independent of G
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作者 Espen Gaarder Haug 《Open Journal of Fluid Dynamics》 2023年第S1期250-261,共12页
We demonstrate how to extract the Planck length from hydrostatic pressure without relying on any knowledge of Newton’s gravitational constant, G. By measuring the pressure from a water column, we can determine the Pl... We demonstrate how to extract the Planck length from hydrostatic pressure without relying on any knowledge of Newton’s gravitational constant, G. By measuring the pressure from a water column, we can determine the Planck length without requiring knowledge of either G or the Planck constant. This experiment is simple to perform and cost-effective, making it not only of interest to researchers studying gravity but also suitable for low-budget educational settings. Despite its simplicity, this has never been demonstrated to be possible before, and it is achievable due to new theoretical insights into gravity and its connection to quantum gravity and the Planck scale. This provides new insights into fluid mechanics and the Planck scale. We are also exploring initial concepts related to what we are calling “Planck fluid”, which could potentially play a central role in quantum gravity and quantum fluid mechanics. 展开更多
关键词 planck Length Hydrostatic Pressure Pascal’s Law GRAVITY planck Fluid
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Using a Grandfather Pendulum Clock to Measure the World’s Shortest Time Interval, the Planck Time (With Zero Knowledge of <i>G</i>) 被引量:1
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作者 Espen Gaarder Haug 《Journal of Applied Mathematics and Physics》 2021年第5期1076-1088,共13页
Haug has recently introduced a new theory of unified quantum gravity coined “<em>Collision Space-Time</em>”. From this new and deeper understanding of mass, we can also understand how a grandfather pendu... Haug has recently introduced a new theory of unified quantum gravity coined “<em>Collision Space-Time</em>”. From this new and deeper understanding of mass, we can also understand how a grandfather pendulum clock can be used to measure the world’s shortest time interval, namely the Planck time, indirectly, without any knowledge of G. Therefore, such a clock can also be used to measure the diameter of an indivisible particle indirectly. Further, such a clock can easily measure the Schwarzschild radius of the gravity object and what we will call “Schwarzschild time”. These facts basically prove that the Newton gravitational constant is not needed to find the Planck length or the Planck time;it is also not needed to find the Schwarzschild radius. Unfortunately, there is significant inertia towards new ideas that could significantly alter our perspective on the fundamentals in the current physics establishment. However, this situation is not new in the history of science. Still, the idea that the Planck time can be measured totally independently of any knowledge of Newton’s gravitational constant could be very important for moving forward in physics. Interestingly, an old instrument that today is often thought of as primitive instrument can measure the world’s shortest possible time interval. No atomic clock or optical clock is even close to be able to do this. 展开更多
关键词 Pendulum Clock planck Time planck Length planck Scale planck Constant Schwarzschild Radius Schwarzschild Time Collision Time Newton’s Gravitational Constant Huygens
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