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File: 1.23 MB, 1x1, TIMESAND___Fractional_Distance__20230808.pdf [View same] [iqdb] [saucenao] [google]
15678961 No.15678961 [Reply] [Original]

Fractional Distance: The Topology of the Real Number Line with Applications to the Riemann Hypothesis
>https://vixra.org/abs/2111.0072
>http://gg762.net/d0cs/papers/Fractional_Distance_v8-20230808.pdf
Recent analysis has uncovered a broad swath of rarely considered real numbers called real numbers in the neighborhood of infinity. Here we extend the catalog of the rudimentary analytical properties of all real numbers by defining a set of fractional distance functions on the real number line and studying their behavior. The main results of are (1) to prove with modest axioms that some real numbers are greater than any natural number, (2) to develop a technique for taking a limit at infinity via the ordinary Cauchy definition reliant on the classical epsilon-delta formalism, and (3) to demonstrate an infinite number of non-trivial zeros of the Riemann zeta function in the neighborhood of infinity. We define numbers in the neighborhood of infinity as Cartesian products of Cauchy equivalence classes of rationals. We axiomatize the arithmetic of such numbers, prove all the operations are well-defined, and then make comparisons to the similar axioms of a complete ordered field. After developing the many underlying foundations, we present a basis for a topology.

>> No.15678963
File: 3.01 MB, 1x1, TIMESAND___Sixty-Six_Theses__v4-20230726.pdf_compressed.pdf [View same] [iqdb] [saucenao] [google]
15678963

Related.

>> No.15679158
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15679158

https://www.wolframalpha.com/input?i=lim_%7Bs-%3E%5Cinfty%7D+%5Csum_%7Bk%3D1%7D%5E%7B%5Cinfty%7D+k%5E%28-s%29

>> No.15679601

based tooker

>> No.15681550

>>15678961
>>15678961
>>15678961
Baboon here:
about the Riemman's
>Evaluation of Riemann’s equation is undefined due to the product ∞ · 0.
>There is no contradiction
>robust character of Riemann’s functional equation in the neighborhood of infinity.
>The theorem of Hadamard and de la Vallée-Poussin should fail along the
portions of that line lying in the neighborhood of infinity due because of reasons like the arithmetic of numbers in the neighborhood of infinity

VS
>an infinite number of non-trivial zeros of the Riemann zeta function in the neighborhood of infinity. We define numbers in the neighborhood of infinity as Cartesian products of Cauchy equivalence classes of rationals.
Isn't basically the same idea used in both ways to prove and refute the Riemman hypothesis.

>> No.15682127

>>15678961
Victor Porton read a paragraph of this post and said "It is not true."

lol

https://drive.google.com/file/d/16Ws_eZF8f-rn1mFvkIT-UdMdvTwOu4vO/view?usp=drive_link

Care to hit back with a sick burn?