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Relativistic Mechanics in Positive and Negative Subspace-Time according to the Inverse Relativity Model
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作者 Michael Girgis 《Journal of Applied Mathematics and Physics》 2024年第11期3784-3815,共32页
In the second paper on the inverse relativity model, we explained in the first paper [1] that analyzing the four-dimensional displacement vector on space-time according to a certain approach leads to the splitting of ... In the second paper on the inverse relativity model, we explained in the first paper [1] that analyzing the four-dimensional displacement vector on space-time according to a certain approach leads to the splitting of space-time into positive and negative subspace-time. Here, in the second paper, we continue to analyze each of the four-dimensional vectors of velocity, acceleration, momentum, and forces on the total space-time fabric. According to the approach followed in the first paper. As a result, in the special case, we obtain new transformations for each of the velocity, acceleration, momentum, energy, and forces specific to each subspace-time, which are subject to the positive and negative modified Lorentz transformations described in the first paper. According to these transformations, momentum remains a conserved quantity in the positive subspace and increases in the negative subspace, while the relativistic total energy decreases in the positive subspace and increases in the negative subspace. In the general case, we also have new types of energy-momentum tensor, one for positive subspace-time and the other for negative subspace-time, where the energy density decreases in positive subspace-time and increases in negative subspace-time, and we also obtain new gravitational field equations for each subspace-time. 展开更多
关键词 4D Velocity Vector Analysis Positive Subspace Negative Subspace Negative Relativistic Mechanics Positive Tensor of Energy and Momentum Inverse Theory of Relativity
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Modified Lorentz Transformations and Space-Time Splitting According to the Inverse Relativity Model
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作者 Michael Girgis 《Journal of Applied Mathematics and Physics》 2024年第7期2467-2489,共23页
Analysis of a four-dimensional displacement vector on the fabric of space-time in the special or general case into two Four-dimensional vectors, according to specific conditions leads to the splitting of the total fab... Analysis of a four-dimensional displacement vector on the fabric of space-time in the special or general case into two Four-dimensional vectors, according to specific conditions leads to the splitting of the total fabric of space-time into a positive subspace-time that represents the space of causality and a negative subspace-time which represents a space without causality, thus, in the special case, we have new transformations for the coordinates of space and time modified from Lorentz transformations specific to each subspace, where the contraction of length disappears and the speed of light is no longer a universal constant. In the general case, we have new types of matric tensor, one for positive subspace-time and the other for negative subspace-time. We also find that the speed of the photon decreases in positive subspace-time until it reaches zero and increases in negative subspace-time until it reaches the speed of light when the photon reaches the Schwarzschild radius. 展开更多
关键词 Four-Dimensional Vector Analysis Four-Dimensional Subspace Causal Space Analysis of the Speed of Light Inverse Theory of Relativity
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Length,Simultaneity,Time,Mass,Kinetic Energy,Quantization,and Subspace-Times Diagrams According to the Inverse Relativity Model
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作者 Michael Girgis 《Journal of Applied Mathematics and Physics》 2025年第5期1874-1916,共43页
Third paper on the inverse relativity model,the first paper[1]included the splitting of total spacetime into positive and negative subspace-times,the sec-ond paper[2]included a description of relativistic mechanics in... Third paper on the inverse relativity model,the first paper[1]included the splitting of total spacetime into positive and negative subspace-times,the sec-ond paper[2]included a description of relativistic mechanics in each sub-space-time.In the third paper here,we study the properties,quantization and diagrams of each subspace-time and as a result we get the inverse length rela-tivity where the length expands from the value zero to the original length in the negative subspace,inverse relativity of simultaneity where simultaneity is absolute and time is real and not an illusion in positive subspace,inverse rel-ativity of time where time contracts to become supertime in negative subspace,inverse relativity of mass and kinetic energy where both are reduced in positive subspace.The paper also included new concepts of mass,work,and motion,An explanation of Heisenberg’s principle and discovering the existence of the inverse of the principle,and the quantization of transformation equations in each subspace.According to this quantization,we do not need infinite energy for a material particle to reach the speed of light in the special case,and there is no infinite energy density for a dust field in negative subspace in the general case.The structure of the negative subspace-time does not collapse when the speed of the reference frame reaches the speed of light,but the negative sub-space-time turns into reverse subspace-time.We also propose in the paper a possibility for testing the model. 展开更多
关键词 Inverse Length Relativity Supertime Inverse Mass Relativity Inverse Spacetime Inverse Heisenberg Principle Inverse Theory of Relativity
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