<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">NS</journal-id><journal-title-group><journal-title>Natural Science</journal-title></journal-title-group><issn pub-type="epub">2150-4091</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ns.2017.99027</article-id><article-id pub-id-type="publisher-id">NS-79013</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Biomedical&amp;Life Sciences</subject><subject> Chemistry&amp;Materials Science</subject><subject> Earth&amp;Environmental Sciences</subject><subject> Medicine&amp;Healthcare</subject><subject> Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  The Aether of Spacetime Physics Is the Empty Set of Pure Mathematics
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mohamed</surname><given-names>S. El Naschie</given-names></name><xref ref-type="aff" rid="aff1"><sub>1</sub></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><label>1</label><addr-line>Distinguished Professor, Department of Physics, Faculty of Science, University of Alexandria, Alexandria, Egypt</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>Chaossf@aol.com</email></corresp></author-notes><pub-date pub-type="epub"><day>11</day><month>09</month><year>2017</year></pub-date><volume>09</volume><issue>09</issue><fpage>289</fpage><lpage>292</lpage><history><date date-type="received"><day>1,</day>	<month>September</month>	<year>2017</year></date><date date-type="rev-recd"><day>11,</day>	<month>September</month>	<year>2017</year>	</date><date date-type="accepted"><day>12,</day>	<month>September</month>	<year>2017;</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
   The present note is basically an announcement of a theoretical and experimental resolution of one of the most basic fundamental problems of physics, namely the very existence and reality of the Aether [1-11]. This is not only basic philosophy of science or insightful results in theoretical physics and cosmology [1-24] but more than that because it may lead to actually realizing the futuristic dream of free energy [25-28].  
   Our mathematical and indirect experimental verdict is that the Aether exists and it can be equated to the empty set of pure mathematics [3, 12-16]. More precisely the Aether may be understood for all mathematical and physical purposes as being identical to the empty set [8-14] underlying the Penrose fractal tessellation universe [17] which obeys the A. Connes’ corresponding dimensional function of his noncommutative geometry [18-21]. 
 
</p></abstract><kwd-group><kwd>Natural Science</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="scirp.79013-ref1"><label>1</label><mixed-citation publication-type="book" xlink:type="simple">Sir. Penrose, R. (1991) The Mass of the Classical Vacuum. In: Saunders, S. and Browen, H., Ed., The Philosophy of the Vacuum, Clarendon Press, Oxford University, Oxford, 21-26.</mixed-citation></ref><ref id="scirp.79013-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Einstein, A. (1922) Ether and the Theory of Relativity. 5th May 1920 at the University of Leiden, Holland. Methuen &amp; Co. Ltd., London. http://www-history.mcs.st-and.ac.uk/Extras/Einstein_ether.html</mixed-citation></ref><ref id="scirp.79013-ref3"><label>3</label><mixed-citation publication-type="other" xlink:type="simple">Marek-Crnjac, L. (2013) Cantorian Space-Time Theory: The Physics of Empty Sets in Connection with Quantum Entanglement and Dark Energy. Lambert Academic Publishing, Saarbrucken.</mixed-citation></ref><ref id="scirp.79013-ref4"><label>4</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>El Naschie</surname><given-names> M.S. </given-names></name>,<etal>et al</etal>. (<year>2011</year>)<article-title>On the Philosophy of Being and Nothingness in Fundamental Physics</article-title><source> Nonlinear Science Letters B</source><volume> 1</volume>,<fpage> 4</fpage>-<lpage>5</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.79013-ref5"><label>5</label><mixed-citation publication-type="other" xlink:type="simple">Seifer, M.J. (2009) Tesla vs Einstein and the Birth of the New Physics. New Dawn, No. 113.  
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https://doi.org/10.4236/ns.2015.74024 (See also the literature referred to in this paper).</mixed-citation></ref></ref-list></back></article>