A hypercontinuous hypersmooth Schwarzschild line element transformation

R. Herrmann
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引用次数: 2

Abstract

In this paper, a new derivation for one of the black hole line elements is given since the basic derivation for this line element is flawed mathematically. This derivation postulates a transformation procedure that utilizes a transformation function that is modeled by an ideal nonstandard physical world transformation process that yields a connection between an exterior Schwarzschild line element and distinctly different interior line element. The transformation is an ideal transformation in that in the natural world the transformation is conceived of as occurring at an unknown moment in the evolution of a gravitationally collapsing spherical body with radius greater than but near to the Schwarzsclfild radius. An ideal transformation models this transformation in a manner independent of the objects standard radius. It yields predicted behavior based upon a Newtonian gravitational field prior to the transformation, predicted behavior after the transformation for a field internal to the Schwarzschild surface and predicted behavior with respect to field alteration processes during the transformation.
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超连续超光滑史瓦西线元变换
本文针对一类黑洞线素的基本推导存在数学上的缺陷,给出了一种新的线素推导方法。这个推导假设了一个转换过程,该过程利用了一个由理想的非标准物理世界转换过程建模的转换函数,该转换过程产生了外部史瓦西线素和明显不同的内部线素之间的连接。这个变换是一个理想变换,因为在自然界中,这个变换被设想为发生在一个半径大于但接近史瓦西菲尔德半径的引力坍缩球体演化过程中的一个未知时刻。理想变换以一种与物体标准半径无关的方式对这种变换进行建模。它产生了基于转换前牛顿引力场的预测行为,预测了转换后史瓦西曲面内部场的行为,以及预测了转换期间场变化过程的行为。
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来源期刊
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)
CiteScore
2.30
自引率
8.30%
发文量
60
审稿时长
17 weeks
期刊介绍: The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.
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