<?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">JMP</journal-id><journal-title-group><journal-title>Journal of Modern Physics</journal-title></journal-title-group><issn pub-type="epub">2153-1196</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jmp.2022.139075</article-id><article-id pub-id-type="publisher-id">JMP-119692</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  Geometric Phase in General Relativity
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Yossi</surname><given-names>Bachar</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lawrence</surname><given-names>Horwitz</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Department of Physics, Bar Ilan University, Ramat Gan, Israel</addr-line></aff><aff id="aff2"><addr-line>School of Physics and Astronomy, Tel-Aviv University, Tel Aviv-Yafo, Israel</addr-line></aff><pub-date pub-type="epub"><day>30</day><month>08</month><year>2022</year></pub-date><volume>13</volume><issue>09</issue><fpage>1267</fpage><lpage>1271</lpage><history><date date-type="received"><day>7,</day>	<month>July</month>	<year>2022</year></date><date date-type="rev-recd"><day>4,</day>	<month>September</month>	<year>2022</year>	</date><date date-type="accepted"><day>7,</day>	<month>September</month>	<year>2022</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>
 
 
  We study the transport of a small wave packet in the embedding of the Stueckelberg-Horwitz-Piron relativistic quantum theory into the manifold of general relativity around the Schwarzschild solution using a semiclassical approximation. We find that the parallel transport of the momentum leads to a geometrical (Berry type) phase.
 
</p></abstract><kwd-group><kwd>Geometrical Phase</kwd><kwd> Quantum Theory in General Relativity</kwd><kwd> Schwarzschild Solution</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s2"><title>Cite this paper</title><p>Bachar, Y. and Horwitz, L. (2022) Geometric Phase in General Relativity. Journal of Modern Physics, 13, 1267-1271. https://doi.org/10.4236/jmp.2022.139075</p></sec></body><back><ref-list><title>References</title><ref id="scirp.119692-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Berry, M.V. (1984) Proceedings of the Royal Society A, 392, 45-57. https://doi.org/10.1098/rspa.1984.0023</mixed-citation></ref><ref id="scirp.119692-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Weinberg, S. (1972) Gravitation and Cosmology, Principles and Applications of the General Theory of Relativity. John Wiley &amp; Sons, Inc., Hoboken, p. 336.</mixed-citation></ref><ref id="scirp.119692-ref3"><label>3</label><mixed-citation publication-type="other" xlink:type="simple">Thompson, R. and Rapini, G. (1993) Berry’s Phase and Gravitational Waves. Proceeding of the 5th Canadian Conference on General Relativity and Relativistic Astrophysics, Singapore, 13-15 May 1883.</mixed-citation></ref><ref id="scirp.119692-ref4"><label>4</label><mixed-citation publication-type="other" xlink:type="simple">Sakurai, J.J. (2005) Modern Quantum Mechanics. Addison-Wesley, New York.</mixed-citation></ref><ref id="scirp.119692-ref5"><label>5</label><mixed-citation publication-type="other" xlink:type="simple">Resta, R. (2000) Journal of Physics: Condensed Matter, 12, R107. https://doi.org/10.1088/0953-8984/12/9/201</mixed-citation></ref><ref id="scirp.119692-ref6"><label>6</label><mixed-citation publication-type="other" xlink:type="simple">Horwitz, L.P. (2019) The European Physical Journal Plus, 134, 313. https://doi.org/10.1140/epjp/i2019-12689-7</mixed-citation></ref><ref id="scirp.119692-ref7"><label>7</label><mixed-citation publication-type="other" xlink:type="simple">Chang, M.-C. and Niu, Q. (2008) Journal of Physics: Condensed Matter, 20, Article ID: 193202. https://doi.org/10.1088/0953-8984/20/19/193202</mixed-citation></ref><ref id="scirp.119692-ref8"><label>8</label><mixed-citation publication-type="other" xlink:type="simple">Venturi, G. (1990) Quantum Gravity and the Berry Phase. In: Differential Geometric Methods in Theoretical Physics, Springer, New York, 703-713. https://doi.org/10.1007/978-1-4684-9148-7_69</mixed-citation></ref><ref id="scirp.119692-ref9"><label>9</label><mixed-citation publication-type="other" xlink:type="simple">Mukhopadhyay, B. and Kanti Ganguly, S. (2020) Universe, 160, Article ID: 6100160. https://doi.org/10.3390/universe6100160</mixed-citation></ref><ref id="scirp.119692-ref10"><label>10</label><mixed-citation publication-type="other" xlink:type="simple">Stone, M., Dwivedi, V. and Zlou, T. (2015) Physical Review D, 91, Article ID: 025004. https://doi.org/10.1103/PhysRevD.91.025004</mixed-citation></ref><ref id="scirp.119692-ref11"><label>11</label><mixed-citation publication-type="other" xlink:type="simple">Ghosh, T. and Mukhopadhyay, B. (2020) International Journal of Modern Physics D, 30, Article ID: 2150090. https://doi.org/10.1142/S0218271821500905</mixed-citation></ref><ref id="scirp.119692-ref12"><label>12</label><mixed-citation publication-type="other" xlink:type="simple">Ludwin, D.M. and Horwitz, L.P. (2011) Journal of Mathematical Physics, 52, Article ID: 012303. https://doi.org/10.1063/1.3533399</mixed-citation></ref><ref id="scirp.119692-ref13"><label>13</label><mixed-citation publication-type="other" xlink:type="simple">Aharonov, Y. and Bohm, D. (1959) Physical Review, 115, 485. https://doi.org/10.1103/PhysRev.115.485</mixed-citation></ref></ref-list></back></article>