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<journal-id journal-id-type="publisher">london-journal-of-research-in-science-natural-and-formal</journal-id>
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<journal-title>London Journal of Research In Science: Natural and Formal</journal-title>
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<issn publication-format="print">2631-8490</issn>
<issn publication-format="electronic">2631-8504</issn>
<publisher><publisher-name>JournalsPress</publisher-name></publisher>
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<article-id pub-id-type="publisher-id">101489</article-id>
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<article-title>On Multiverses (or Parallel Universes) of Matrix Triple Solutions of the Diophantine  Equation X3 + Y  6 = Z</article-title>
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<volume>24</volume>
<issue>9</issue>
<fpage>75</fpage>
<lpage>85</lpage>
<abstract><p>We show that the Diophantine equation X 3 + Y 6 = Z 6 (0.1) admits matrix triple solutions from M3(N) and M6k(N), k ∈ N. We construct infinite universes made of these solutions. We introduce different construction structures sets of matrix solutions associated to the Diophantine equation (0.1). These construction structures sets of matrix solutions allow us to show that there exists an infinite number of multiverses (parallel universes) of the matrix solutions of the Diophantine equation (0.1) containing each a finite number of universes of matrix triples.</p></abstract>
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<p>We show that the Diophantine equation X 3 + Y 6 = Z 6 (0.1) admits matrix triple solutions from M3(N) and M6k(N), k ∈ N. We construct infinite universes made of these solutions. We introduce different construction structures sets of matrix solutions associated to the Diophantine equation (0.1). These construction structures sets of matrix solutions allow us to show that there exists an infinite number of multiverses (parallel universes) of the matrix solutions of the Diophantine equation (0.1) containing each a finite number of universes of matrix triples.</p>
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