A New Space-Time CE/SE Numerical Tracking of Contaminant Transport in Fractured Stratified Geologic Profiles

Lyra geometry is a conformal geometry that originated from Weyl geometry. In this article, we derive the exterior field equation under a spherically symmetric gauge function x0(r) and metric in Lyra geometry. When we impose a specific form of the gauge function x0(r), the radial differential equation of the metric component g00 will possess an irregular singular point (ISP) at r = 0. Moreover, we can apply the method of dominant balance to get the asymptotic behavior of the new space–time solution. The significance of this work is that we can use a series of smooth gauge functions x0(r) to modulate the degree of divergence of the singularity at r = 0, which will become a naked singularity under certain conditions. Furthermore, we investigate the physical meaning of this novel behavior of space–time in Lyra geometry and find out that no spaceship with finite integrated acceleration can arrive at this singularity at r = 0. The physical meaning of the gauge function and integrability is also discussed.

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New space–time spectral and structured spectral element methods for high order problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.08.038 ◽

2019 ◽

Vol 351 ◽

pp. 153-166 ◽

Cited By ~ 2

Author(s):

Chao Zhang ◽

Hanfeng Yao ◽

Huiyuan Li

Keyword(s):

Spectral Element ◽

Space Time ◽

High Order ◽

Spectral Element Methods ◽

New Space

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The Gravity Funnels, formed by the longitudinal vortices, according to the new Axioms and Laws

Advances in Theoretical & Computational Physics ◽

10.33140/atcp.04.01.09 ◽

2021 ◽

Vol 4 (1) ◽

Keyword(s):

Gravitational Waves ◽

Scientific Theory ◽

Transverse Direction ◽

Modern Science ◽

Longitudinal Direction ◽

Space Time ◽

The Other ◽

Longitudinal Vortices ◽

New Space ◽

The One

In the age of information, it is no secret that the modern science is in a very difficult position. On the one hand, it has high hopes for solving the problems of modern humanity and very practical tasks. On the other hand, science shows limited potential and difficulty in carrying out the tasks. Beyond scientific theory remain such phenomena as gravity and gravitational waves and other unexplored and very useful phenomena. Obviously, the reason for these limited capabilities of modern science is its limited foundation. The foundation of science is determined by its basic axioms. If we expand the foundation of science, we will be able to build a more comprehensive, perfect and voluminous theory. In two monographs and a series of articles the author offers a system of extended axioms (with two new axioms) and a more extended theory (with eight new laws). To the great surprise of even the author, this new theory turned out to be extensive enough to cover and explain and the gravity. Moreover, the extended axioms and theory directly and naturally outlined the algorithm in the explanation of the so-called Gravity Funnels. According to the new axioms and laws, Gravity Funnels are both for suction (accelerating) and for expansion (decelerating). Expansion Gravity Funnel decelerates along its longitudinal direction as emits the matter in the transverse direction. In this way it consumes energy and generates matter. Suction Gravity Funnel accelerates along its longitudinal direction as sucks the matter in transverse direction. In this way it consumes matter and generates energy. The both of Funnels are situated in a new Space-time. The Space-time of decelerating and accelerating Funnels is packed by longitudinal vortices, in which the Space (S) is constant. It is radically different of the Space-Time where we live now. The Space-time where we live now is packed by cross vortices, where the time (T) is constant. According the new Axioms and Laws the two described Space- times are mutually orthogonal.

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New Space-Time Spermodes in Highly Multi-Mode Planar Waveguides

10.1364/fio.2021.jtu1a.44 ◽

2021 ◽

Author(s):

Abbas Shiri ◽

Scott Webster ◽

Kenneth L. Schepler ◽

Ayman F. Abouraddy

Keyword(s):

Space Time ◽

Planar Waveguides ◽

New Space ◽

Multi Mode

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Space-Time Analytics for Spatial Dynamics

Data Mining ◽

10.4018/978-1-4666-2455-9.ch108 ◽

2013 ◽

pp. 2117-2131

Author(s):

May Yuan ◽

James Bothwell

Keyword(s):

Big Data ◽

Temperature Change ◽

Spatial Dynamics ◽

Space Time ◽

Data Sets ◽

Spatial Processes ◽

Multiple Sources ◽

Time Concepts ◽

New Thinking ◽

New Space

The so-called Big Data Challenge poses not only issues with massive volumes of data, but issues with the continuing data streams from multiple sources that monitor environmental processes or record social activities. Many statistics tools and data mining methods have been developed to reveal embedded patterns in large data sets. While patterns are critical to data analysis, deep insights will remain buried unless we develop means to associate spatiotemporal patterns to the dynamics of spatial processes that essentially drive the formation of patterns in the data. This chapter reviews the literature with the conceptual foundation for space-time analytics dealing with spatial processes, discusses the types of dynamics that have and have not been addressed in the literature, and identifies needs for new thinking that can systematically advance space-time analytics to reveal dynamics of spatial processes. The discussion is facilitated by an example to highlight potential means of space-time analytics in response to the Big Data Challenge. The example shows the development of new space-time concepts and tools to analyze data from two common General Circulation Models for climate change predictions. Common approaches compare temperature changes at locations from the NCAR CCSM3 and from the CNRM CM3 or animate time series of temperature layers to visualize the climate prediction. Instead, new space-time analytics methods are shown here the ability to decipher the differences in spatial dynamics of the predicted temperature change in the model outputs and apply the concepts of change and movement to reveal warming, cooling, convergence, and divergence in temperature change across the globe.

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