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<journal-id journal-id-type="publisher">global-journal-of-science-frontier-research-f-mathematics-decision</journal-id>
<journal-title-group>
<journal-title>Global Journal of Science Frontier Research - F: Mathematics &amp; Decision</journal-title>
</journal-title-group>
<issn publication-format="print">0975-5896</issn>
<issn publication-format="electronic">2249-4626</issn>
<publisher><publisher-name>Global Journals Publishing Group Incorporated</publisher-name></publisher>
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<article-id pub-id-type="publisher-id">83234</article-id>
<title-group>
<article-title>The Mathematical Bases for the Creation of a Homogeneous 5D Universe</article-title>
<subtitle>Temperature and Symmetry Breaking in 5D Space-Time</subtitle>
</title-group>
<contrib-group>
<contrib contrib-type="author"><name><surname>Wong</surname><given-names>K.W.</given-names></name><xref ref-type="aff" rid="aff1" />
</contrib>
</contrib-group>
<aff id="aff1">UNITED STATES, University of Kansas, USA.</aff>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-01-20">
<day>20</day>
<month>01</month>
<year>2025</year>
</pub-date>
<volume>24</volume>
<issue>F2</issue>
<fpage>1</fpage>
<lpage>5</lpage>
<abstract><p>Several important physical implications left out in The Five Dimension Space-Time Universe: A creation and grand unified field theory model. Book, are presented under rigorous mathematical theorems. It was found that Temperature, a classical variable, must be added as an imaginary component to time, under the Quantum uncertainty dt.dE = h/2pi, so that the Gell-Mann Quark model can be verified, with gauge invariance, to form hadrons at the Bethe Fusion Temperature. Accordingly from the corresponding uncertainty dp.dr= h/2pi. Pairs of Diagonal Long Range Ordered gravitons, with continuous frequency spectrum together with those represented by magnetic monopoles must be formed within the space r, of the homogenous 5D manifold, without the presents of photons, thus defines the 5D as a Black Hole. Then from which we can derive the classical Newtonian Law of attractive Gravity, as the 5D manifold is mapped by Perelmann Ricci-flow entropy mapping and the DLRO graviton pair symmetry is broken and converted into two masses, with motions satisfying Special Relativity in the doughnut shape Lorentz manifold, thus indirectly verifies the principle of Covariant Riemannian curvatures and General Relativity theory.</p></abstract>
<kwd-group kwd-group-type="author-generated">
<kwd>extended fermatâ€™s last theorem</kwd>
<kwd>gravitons</kwd>
<kwd>newtonian law of gravity</kwd>
<kwd>temperature.</kwd>
<kwd>extended fermat’s last theorem</kwd>
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<title>Full Text</title>
<p>Several important physical implications left out in The Five Dimension Space-Time Universe: A creation and grand unified field theory model. Book, are presented under rigorous mathematical theorems. It was found that Temperature, a classical variable, must be added as an imaginary component to time, under the Quantum uncertainty dt.dE = h/2pi, so that the Gell- Mann Quark model can be verified, with gauge invariance, to form hadrons at the Bethe Fusion Temperature. Accordingly from the corresponding uncertainty dp.dr= h/2pi. Pairs of Diagonal Long Range Ordered gravitons, with continuous frequency spectrum together with those represented by magnetic monopoles must be formed within the space r, of the homogenous 5D manifold, without the presents of photons, thus defines the 5D as a Black Hole. Then from which we can derive the classical Newtonian Law of attractive Gravity, as the 5D manifold is mapped by Perelmann Ricci-flow entropy mapping and the DLRO graviton pair symmetry is broken and converted into two masses, with motions satisfying Special Relativity in the doughnut shape Lorentz manifold, thus indirectly verifies the principle of Covariant Riemannian curvatures and General Relativity theory.</p>
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