{"id":16,"date":"2007-10-01T04:22:23","date_gmt":"2007-10-01T09:22:23","guid":{"rendered":"http:\/\/www.theimagineershome.com\/blog\/?p=16"},"modified":"2018-12-15T11:40:04","modified_gmt":"2018-12-15T15:40:04","slug":"the-photon-a-matter-wave","status":"publish","type":"post","link":"https:\/\/www.theimagineershome.com\/blog\/the-photon-a-matter-wave\/","title":{"rendered":"The Photon: a matter wave in four spatial dimensions."},"content":{"rendered":"<p><span style=\"font-family: arial\"><font size=\"3\">One of the more puzzling aspects of our universe is explaining how particles such a photon can have the properties of electromagnetic wave. <\/font><\/span><br \/>\n<font face=\"Arial\" size=\"3\">However this maybe due to a lack of the understanding of the mechanism responsible for the formation of a particle. <\/font><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">For example the article &#8220;<\/font><a title=\"Permalink to : Why is energy\/mass quantized?\" href=\"https:\/\/www.theimagineershome.com\/blog\/?p=17\" rel=\"bookmark\"><span style=\"color: #0080ff\"><font size=\"3\">Why is energy\/mass quantized?<\/font><\/span><\/a><font size=\"3\">&#8221; shown one can explain a particles properties by extrapolating the laws of classical resonance in three-dimensional space to a matter wave on a &#8220;surface&#8221; of a three-dimensional space manifold with respect to a fourth *spatial* dimension. <\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">Briefly it showed the four conditions required for resonance to occur in a classical Newtonian environment, an object, or substance with a natural frequency, a forcing function at the same frequency as the natural frequency, the lack of a damping frequency and the ability for the substance to oscillate spatial would occur in one consisting of four *spatial* dimensions. .<\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">The existence of four *spatial* dimensions would give a space (the substance) the ability to oscillate on a &#8220;surface&#8221; between a third and fourth *spatial* dimensions thereby fulfilling one of the requirements for classical resonance to occur. <\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">These oscillations would be caused by an event such as the decay of a subatomic particle or the shifting of an electron in an atomic orbital. This would force the &#8220;surface&#8221; of a three-dimensional space manifold with respect to a fourth *spatial* dimension to oscillate with the frequency associated with the energy of that event.<\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">Therefore, these oscillations in space would meet the requirements mentioned above for the formation of a resonant system or &#8220;structure&#8221; in space. <\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">Observations of a three-dimensional environment show the energy associated with resonant system can only take on the incremental or discreet values associated with a fundamental or a harmonic of the fundamental frequency of its environment. <\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">Therefore, one could explain and predict that the incremental or discrete energies associated with particles in terms o f the resonant properties of an electromagnetic matter wave.<\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">However, as the article &#8220;<\/font><a title=\"Permalink to : Electromagnetism in four *spatial* dimensions\" href=\"https:\/\/www.theimagineershome.com\/blog\/?p=14\" rel=\"bookmark\"><span style=\"color: #0080ff\"><font size=\"3\">Electromagnetism in four *spatial* dimensions<\/font><\/span><\/a><font size=\"3\">&#8221; Sept. 27, 2007 showed one can also explain and predict its electromagnetic properties by extrapolating the laws of classical wave mechanics to a matter wave moving on a &#8220;surface&#8221; of a three-dimensional space manifold with respect to a fourth *spatial* dimension. <\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">Briefly a wave on the two-dimensional surface of water causes a point on that surface to be become displaced or rise above or below the equilibrium point that existed before the wave was present.&nbsp; A force will be developed by the differential displacement of the surfaces, which will result in the elevated and depressed portions of the water moving towards or become &#8220;attracted&#8221; to each other and the surface of the water.<\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">Similarly a matter wave on the &#8220;surface&#8221; of a three-dimensional space manifold with respect to a fourth *spatial* dimension would cause a point on that &#8220;surface&#8221; to become displaced or rise above and below the equilibrium point that existed before the wave was present.<\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">However, as just mentioned classical wave mechanics, if extrapolated to four *spatial* dimensions tells us the force developed by the differential displacements caused by a matter wave moving on a &#8220;surface&#8221; of three-dimensional space with respect to a fourth *spatial* dimension will result in its elevated and depressed portions moving towards or become &#8220;attracted&#8221; to each other. <\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">This defines the causality of the attractive forces of unlike charges associated with the electromagnetic wave component of a photon in terms of a force developed by a differential displacement of a point on a &#8220;surface&#8221; of a three-dimensional space manifold with respect to a fourth *spatial* dimension. <\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">However, it also provides a classical mechanism for understanding why similar charges repel each other because observations of water show that there is a direct relationship between the magnitudes of a displacement in its surface to the magnitude of the force resisting that displacement. <\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">Similarly the magnitude of a displacement in a &#8220;surface&#8221; of a three-dimensional space manifold with respect to a fourth *spatial* dimension caused by two similar charges will be greater than that caused by a single one.&nbsp; Therefore, similar charges will repel each other because the magnitude of the force resisting the displacement will be greater for two similar charges than it would be for a single charge. <\/font><\/span><\/p>\n<p align=\"left\"><span style=\"font-family: arial\"><font size=\"3\">One can define the causality of electrical component of electromagnetic radiation in terms of the energy associated with its &#8220;peaks&#8221; and &#8220;troughs&#8221; that is directed perpendicular to its velocity vector while its magnetic component would be associated with the horizontal force developed by that perpendicular displacement. <\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">However, Classical Mechanics tells us a horizontal force will be developed by that perpendicular or vertical displacement which will always be 90 degrees out of phase with it.&nbsp; This force is called magnetism.<\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">This is analogous to how the vertical force pushing up of on mountain also generates a horizontal force, which pulls matter horizontally towards from the apex of that displacement. <\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">However as mentioned earlier the quantum mechanical or particle properties of an electromagnetic wave can also be derived by extrapolating the laws of classical resonance to a matter wave on a &#8220;surface&#8221; of a three-dimensional space manifold with respect to a fourth *spatial* dimension.<\/font><\/span><\/p>\n<p><font size=\"3\"><span style=\"font-family: arial\">This explains and predicts how and why <\/span><span style=\"font-family: arial\">particles such a photon can have the properties of electromagnetic wave in terms of the laws of classical mechanics. <\/span><\/font><\/p>\n<p><span style=\"font-family: arial\"><font size=\"3\">Later Jeff <\/font><\/span><\/p>\n<p><span style=\"font-family: arial\"><font size=\"1\">Copyright 2007 Jeffrey O\u00e2\u20ac\u2122Callaghan<\/font><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>One of the more puzzling aspects of our universe is explaining how particles such a photon can have the properties of electromagnetic wave. However this maybe due to a lack of the understanding of the mechanism responsible for the formation of a particle. For example the article &#8220;Why is energy\/mass quantized?&#8221; shown one can explain &#8230; <a title=\"The Photon: a matter wave in four spatial dimensions.\" class=\"read-more\" href=\"https:\/\/www.theimagineershome.com\/blog\/the-photon-a-matter-wave\/\" aria-label=\"Read more about The Photon: a matter wave in four spatial dimensions.\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"sfsi_plus_gutenberg_text_before_share":"","sfsi_plus_gutenberg_show_text_before_share":"","sfsi_plus_gutenberg_icon_type":"","sfsi_plus_gutenberg_icon_alignemt":"","sfsi_plus_gutenburg_max_per_row":"","footnotes":""},"categories":[21],"tags":[54,152],"class_list":["post-16","post","type-post","status-publish","format-standard","hentry","category-theroetical","tag-1-theoretical","tag-3-paritcle-phsysics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.6.1 (Yoast SEO v27.6) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>The Photon: a matter wave in four spatial dimensions. | Unifying Quantum and Relativistic Theories<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.theimagineershome.com\/blog\/the-photon-a-matter-wave\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Photon: a matter wave in four spatial dimensions.\" \/>\n<meta property=\"og:description\" content=\"One of the more puzzling aspects of our universe is explaining how particles such a photon can have the properties of electromagnetic wave. 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