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<title>[0910.5658] Physical interpretation of the fringe shift measured on Michelson interferometer in optical media</title>
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<meta property=og:description content="I have found experimentally that in vacuum (refractive index $n$ = 1.) the shift of interference fringe in Michelson interferometer is absent because of the absence of particles on the light path. The shift of interference fringe appears only at a certain concentration of particles in the luminiferous medium. The increase of the remnant air pressure in the optical tubes of the interferometer (of the length 6 m in each arm) from 1 mm Hg to 1500 mm Hg reveals first indications of the interference fringe shift (about 0.015 of its width) only at the air pressure 300 mm Hg ($n$ = 1.00014...). The increase of the air pressure in optical tubes up to 760 mm Hg ($n$ = 1.0003...) adds twice the amplitude of the harmonic shift of the interference fringe giving ~0.03, and at the pressure 1500 mm Hg the harmonic fringe shift ~0.06 became conspicuous. The S-shaped with the change of sign dependence of the fringe shift on the index of refraction $n$ was found. Thus the estimation of the horizontal projection of the velocity of the Earth relative to aether is obtained. At the latitude of Obninsk this velocity varies depending on the time of day and night within 140 - 480 km/s. The forth version of the report is complemented with the account of the harmful effect on registering the shift $ΔX_m$ of the interference fringe of the improperly installed in turning-points of the zigzag light path glass mirrors. The nullifying of the shift in air interferometers may occur because of opposite signs of contributions of the air and glass optical media through the discovered by me law $ΔX_m \sim lΔε(1-Δε)$. This may be the cause of obtaining negative results in majority of Michelson-type experiments known to date.">
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<meta name=citation_title content="Physical interpretation of the fringe shift measured on Michelson interferometer in optical media"><meta name=citation_author content="Demjanov, V. V."><meta name=citation_doi content=10.1016/j.physleta.2009.12.068><meta name=citation_date content=2009/10/29><meta name=citation_online_date content=2011/08/25><meta name=citation_pdf_url content=http://arxiv.org/pdf/0910.5658><meta name=citation_arxiv_id content=0910.5658><meta name=citation_abstract content="I have found experimentally that in vacuum (refractive index $n$ = 1.) the shift of interference fringe in Michelson interferometer is absent because of the absence of particles on the light path. The shift of interference fringe appears only at a certain concentration of particles in the luminiferous medium. The increase of the remnant air pressure in the optical tubes of the interferometer (of the length 6 m in each arm) from 1 mm Hg to 1500 mm Hg reveals first indications of the interference fringe shift (about 0.015 of its width) only at the air pressure 300 mm Hg ($n$ = 1.00014...). The increase of the air pressure in optical tubes up to 760 mm Hg ($n$ = 1.0003...) adds twice the amplitude of the harmonic shift of the interference fringe giving ~0.03, and at the pressure 1500 mm Hg the harmonic fringe shift ~0.06 became conspicuous. The S-shaped with the change of sign dependence of the fringe shift on the index of refraction $n$ was found. Thus the estimation of the horizontal projection of the velocity of the Earth relative to aether is obtained. At the latitude of Obninsk this velocity varies depending on the time of day and night within 140 - 480 km/s. The forth version of the report is complemented with the account of the harmful effect on registering the shift $\Delta X_m$ of the interference fringe of the improperly installed in turning-points of the zigzag light path glass mirrors. The nullifying of the shift in air interferometers may occur because of opposite signs of contributions of the air and glass optical media through the discovered by me law $\Delta X_m \sim l\Delta\epsilon(1-\Delta\epsilon)$. This may be the cause of obtaining negative results in majority of Michelson-type experiments known to date.">
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<h1>Physics > General Physics</h1>
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(physics)
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<style>#abs{font-family:"Lucida Grande",Helvetica,Arial,sans-serif!important}#abs h1.title{display:block;font-size:1.8em!important;font-weight:700;margin-block-end:12px;margin-block-start:12px;margin-bottom:12px;margin-inline-end:0px;margin-inline-start:20px;margin-left:20px;margin-right:0px;margin-top:12px}#abs div.authors{font-size:1.2em;line-height:24px;margin-bottom:8px;margin-left:20px;margin-right:0px;margin-top:8px}#abs div.dateline{font-size:0.9em;font-style:italic;margin-bottom:6.5px;margin-left:20px;margin-right:0px;margin-top:6.5px}#abs blockquote.abstract{font-size:1.05em;margin-block-end:21.6px;margin-block-start:14.4px;margin-bottom:21.6px;margin-inline-end:40px;margin-inline-start:40px;background-color:white;border-left:0px;padding:0px}#abs div.metatable{font-size:0.95em!important;margin-bottom:19px;margin-left:20px;margin-right:0px;margin-top:0px;border:0px;padding:0px}#abs div.metatable tbody{vertical-align:middle}#abs tr{margin-top:0px;margin-bottom:0px}#abs td.tablecell{padding-top:0px;padding-bottom:0px;padding-right:6.5px;padding-left:0px;vertical-align:top;font-size:0.95em!important;margin-top:0px;margin-bottom:0px;border:0px}#abs td.tablecell.label{font-weight:400!important}#abs span.primary-subject{font-weight:700}#abs span.arxivid{font-weight:700}</style>
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[Submitted on 29 Oct 2009 (<a href=https://arxiv.org/abs/0910.5658v1>v1</a>), last revised 25 Aug 2011 (this version, v4)]</div>
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<h1 class="title mathjax"><span class="descriptor sf-hidden">Title:</span>Physical interpretation of the fringe shift measured on Michelson interferometer in optical media</h1>
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<div class=authors><span class="descriptor sf-hidden">Authors:</span><a href="https://arxiv.org/search/physics?searchtype=author&query=Demjanov,+V">V.V. Demjanov</a></div> <div id=download-button-info class=sf-hidden hidden>View a PDF of the paper titled Physical interpretation of the fringe shift measured on Michelson interferometer in optical media, by V.V. Demjanov</div>
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<a class="mobile-submission-download sf-hidden" href=http://arxiv.org/pdf/0910.5658>View PDF</a>
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<blockquote class="abstract mathjax">
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<span class="descriptor sf-hidden">Abstract:</span>I have found experimentally that in vacuum (refractive index <span class=MathJax_Preview style=display:none></span><span class=MathJax id=MathJax-Element-1-Frame tabindex=0><nobr><span class=math id=MathJax-Span-1 style=width:0.813em;display:inline-block><span style=display:inline-block;position:relative;width:0.594em;height:0px;font-size:136%><span style=position:absolute;clip:rect(1.664em,1000.57em,2.441em,-1000em);top:-2.268em;left:0em><span class=mrow id=MathJax-Span-2><span class=mi id=MathJax-Span-3 style=font-family:MathJax_Math;font-style:italic>n</span></span><span style=display:inline-block;width:0px;height:2.268em></span></span></span><span style="display:inline-block;overflow:hidden;vertical-align:-0.088em;border-left:0px solid;width:0px;height:0.763em"></span></span></nobr></span> = 1.) the shift of interference fringe in Michelson interferometer is absent because of the absence of particles on the light path. The shift of interference fringe appears only at a certain concentration of particles in the luminiferous medium. The increase of the remnant air pressure in the optical tubes of the interferometer (of the length 6 m in each arm) from 1 mm Hg to 1500 mm Hg reveals first indications of the interference fringe shift (about 0.015 of its width) only at the air pressure 300 mm Hg (<span class=MathJax_Preview style=display:none></span><span class=MathJax id=MathJax-Element-2-Frame tabindex=0><nobr><span class=math id=MathJax-Span-4 style=width:0.813em;display:inline-block><span style=display:inline-block;position:relative;width:0.594em;height:0px;font-size:136%><span style=position:absolute;clip:rect(1.664em,1000.57em,2.441em,-1000em);top:-2.268em;left:0em><span class=mrow id=MathJax-Span-5><span class=mi id=MathJax-Span-6 style=font-family:MathJax_Math;font-style:italic>n</span></span><span style=display:inline-block;width:0px;height:2.268em></span></span></span><span style="display:inline-block;overflow:hidden;vertical-align:-0.088em;border-left:0px solid;width:0px;height:0.763em"></span></span></nobr></span> = 1.00014...). The increase of the air pressure in optical tubes up to 760 mm Hg (<span class=MathJax_Preview style=display:none></span><span class=MathJax id=MathJax-Element-3-Frame tabindex=0><nobr><span class=math id=MathJax-Span-7 style=width:0.813em;display:inline-block><span style=display:inline-block;position:relative;width:0.594em;height:0px;font-size:136%><span style=position:absolute;clip:rect(1.664em,1000.57em,2.441em,-1000em);top:-2.268em;left:0em><span class=mrow id=MathJax-Span-8><span class=mi id=MathJax-Span-9 style=font-family:MathJax_Math;font-style:italic>n</span></span><span style=display:inline-block;width:0px;height:2.268em></span></span></span><span style="display:inline-block;overflow:hidden;vertical-align:-0.088em;border-left:0px solid;width:0px;height:0.763em"></span></span></nobr></span> = 1.0003...) adds twice the amplitude of the harmonic shift of the interference fringe giving ~0.03, and at the pressure 1500 mm Hg the harmonic fringe shift ~0.06 became conspicuous. The S-shaped with the change of sign dependence of the fringe shift on the index of refraction <span class=MathJax_Preview style=display:none></span><span class=MathJax id=MathJax-Element-4-Frame tabindex=0><nobr><span class=math id=MathJax-Span-10 style=width:0.813em;display:inline-block><span style=display:inline-block;position:relative;width:0.594em;height:0px;font-size:136%><span style=position:absolute;clip:rect(1.664em,1000.57em,2.441em,-1000em);top:-2.268em;left:0em><span class=mrow id=MathJax-Span-11><span class=mi id=MathJax-Span-12 style=font-family:MathJax_Math;font-style:italic>n</span></span><span style=display:inline-block;width:0px;height:2.268em></span></span></span><span style="display:inline-block;overflow:hidden;vertical-align:-0.088em;border-left:0px solid;width:0px;height:0.763em"></span></span></nobr></span> was found. Thus the estimation of the horizontal projection of the velocity of the Earth relative to aether is obtained. At the latitude of Obninsk this velocity varies depending on the time of day and night within 140 - 480 km/s. The forth version of the report is complemented with the account of the harmful effect on registering the shift <span class=MathJax_Preview style=display:none></span><span class=MathJax id=MathJax-Element-5-Frame tabindex=0><nobr><span class=math id=MathJax-Span-13 style=width:3.189em;display:inline-block><span style=display:inline-block;position:relative;width:2.322em;height:0px;font-size:136%><span style=position:absolute;clip:rect(1.39em,1002.32em,2.588em,-1000em);top:-2.268em;left:0em><span class=mrow id=MathJax-Span-14><span class=mi id=MathJax-Span-15 style=font-family:MathJax_Main>Δ</span><span class=msubsup id=MathJax-Span-16><span style=display:inline-block;position:relative;width:1.524em;height:0px><span style=position:absolute;clip:rect(3.151em,1000.85em,4.158em,-1000em);top:-3.996em;left:0em><span class=mi id=MathJax-Span-17 style=font-family:MathJax_Math;font-style:italic>X<span style=display:inline-block;overflow:hidden;height:1px;width:0.024em></span></span><span style=display:inline-block;width:0px;height:3.996em></span></span><span style=position:absolute;top:-3.846em;left:0.828em><span class=mi id=MathJax-Span-18 style=font-size:70.7%;font-family:MathJax_Math;font-style:italic>m</span><span style=display:inline-block;width:0px;height:3.996em></span></span></span></span></span><span style=display:inline-block;width:0px;height:2.268em></span></span></span><span style="display:inline-block;overflow:hidden;vertical-align:-0.288em;border-left:0px solid;width:0px;height:1.335em"></span></span></nobr></span> of the interference fringe of the improperly installed in turning-points of the zigzag light path glass mirrors. The nullifying of the shift in air interferometers may occur because of opposite signs of contributions of the air and glass optical media through the discovered by me law <span class=MathJax_Preview style=display:none></span><span class=MathJax id=MathJax-Element-6-Frame tabindex=0><nobr><span class=math id=MathJax-Span-19 style=width:12.153em;display:inline-block><span style=display:inline-block;position:relative;width:8.91em;height:0px;font-size:136%><span style=position:absolute;clip:rect(1.41em,1008.82em,2.734em,-1000em);top:-2.322em;left:0em><span class=mrow id=MathJax-Span-20><span class=mi id=MathJax-Span-21 style=font-family:MathJax_Main>Δ</span><span class=msubsup id=MathJax-Span-22><span style=display:inline-block;position:relative;width:1.524em;height:0px><span style=position:absolute;clip:rect(3.151em,1000.85em,4.158em,-1000em);top:-3.996em;left:0em><span class=mi id=MathJax-Span-23 style=font-family:MathJax_Math;font-style:italic>X<span style=display:inline-block;overflow:hidden;height:1px;width:0.024em></span></span><span style=display:inline-block;width:0px;height:3.996em></span></span><span style=position:absolute;top:-3.846em;left:0.828em><span class=mi id=MathJax-Span-24 style=font-size:70.7%;font-family:MathJax_Math;font-style:italic>m</span><span style=display:inline-block;width:0px;height:3.996em></span></span></span></span><span class=mo id=MathJax-Span-25 style=font-family:MathJax_Main;padding-left:0.278em>∼</span><span class=mi id=MathJax-Span-26 style=font-family:MathJax_Math;font-style:italic;padding-left:0.278em>l</span><span class=mi id=MathJax-Span-27 style=font-family:MathJax_Main>Δ</span><span class=mi id=MathJax-Span-28 style=font-family:MathJax_Math;font-style:italic>ϵ</span><span class=mo id=MathJax-Span-29 style=font-family:MathJax_Main>(</span><span class=mn id=MathJax-Span-30 style=font-family:MathJax_Main>1</span><span class=mo id=MathJax-Span-31 style=font-family:MathJax_Main;padding-left:0.222em>−</span><span class=mi id=MathJax-Span-32 style=font-family:MathJax_Main;padding-left:0.222em>Δ</span><span class=mi id=MathJax-Span-33 style=font-family:MathJax_Math;font-style:italic>ϵ</span><span class=mo id=MathJax-Span-34 style=font-family:MathJax_Main>)</span></span><span style=display:inline-block;width:0px;height:2.322em></span></span></span><span style="display:inline-block;overflow:hidden;vertical-align:-0.413em;border-left:0px solid;width:0px;height:1.507em"></span></span></nobr></span>. This may be the cause of obtaining negative results in majority of Michelson-type experiments known to date.
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<td class="tablecell comments mathjax">9 pages, 2 figure, 2 tables; this version presents experimental data in more details. Retracted by the editors of Physics Letters A, <a href=http://www.sciencedirect.com/science/article/pii/S0375960109016375 rel="external noopener nofollow" class="link-external link-http">this http URL</a></td>
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<td class="tablecell arxivid"><span class=arxivid><a href=https://arxiv.org/abs/0910.5658>arXiv:0910.5658</a> [physics.gen-ph]</span></td>
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<h2>Submission history</h2> From: Victor Demjanov [<a href=http://arxiv.org/show-email/bc945d7d/0910.5658>view email</a>] <br> <strong><a href=http://arxiv.org/abs/0910.5658v1>[v1]</a></strong>
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Thu, 29 Oct 2009 14:55:46 UTC (23 KB)<br>
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<strong><a href=http://arxiv.org/abs/0910.5658v2>[v2]</a></strong>
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Tue, 3 Nov 2009 16:33:40 UTC (22 KB)<br>
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<strong><a href=http://arxiv.org/abs/0910.5658v3>[v3]</a></strong>
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Thu, 24 Jun 2010 13:40:06 UTC (147 KB)<br>
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<strong>[v4]</strong>
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Thu, 25 Aug 2011 11:17:29 UTC (153 KB)<br>
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