{"id":32,"date":"2007-12-15T05:20:18","date_gmt":"2007-12-15T10:20:18","guid":{"rendered":"http:\/\/www.theimagineershome.com\/blog\/?p=32"},"modified":"2020-02-27T07:40:47","modified_gmt":"2020-02-27T11:40:47","slug":"gravity","status":"publish","type":"post","link":"https:\/\/www.theimagineershome.com\/blog\/gravity\/","title":{"rendered":"Linking Gravity with electromagnetism in four *spatial* dimensions"},"content":{"rendered":"<style type=\"text\/css\"><\/style>\n<p class=\"style1\"><span style=\"font-size: medium;\">We have shown throughout this blog and its companion book &#8220;<\/span><span style=\"color: #0080ff;\"><span style=\"font-size: medium;\">The Reality of the Fourth Spatial Dimension<\/span><\/span><span style=\"font-size: medium;\">&#8221; there are several theoretical advantages to defining the universe in terms of four *spatial* dimensions instead of four-dimensional space-time. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">One of these is that it would allow for the derivation of a physical link between gravity and electromagnetism in terms of a curvature or displacement in a &#8220;surface&#8221; of a three-dimensional space manifold with respect to a fourth *spatial* dimension. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">Einstein gave us the ability to do this when he qualitatively and quantitatively defined the geometric properties of a space-time universe in terms of the equation E=mc^2 and the constant velocity of light.\u00c2\u00a0 This is because it allows one to redefine a unit of time he associated with energy in his space-time universe to unit of space in one consisting of only four *spatial* dimensions.\u00c2\u00a0 <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">In other words by defining the geometric properties of a space-time universe in terms of the equation E=mc^2 and the constant velocity of light he provided a qualitative and quantitative means of redefining his space-time universe in terms of the geometry of four *spatial* dimensions. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">However as was just mentioned this would allow one define a link between the physical properties of an electromagnetic wave and gravity in terms of a displacement in a &#8220;surface&#8221; of a three-dimensional space manifold with respect to a fourth *spatial* dimension because as was just shown that displacement is interchangeable with the one Einstein&#8217;s &#8220;The General Theory of Relativity&#8221; postulated is responsible for gravity.<\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">For example in the article <\/span><a title=\"Permalink to : What is electromagnetism?\" href=\"https:\/\/www.theimagineershome.com\/blog\/?p=14\" rel=\"bookmark\"><span style=\"color: #0080ff;\"><span style=\"font-size: medium;\">What is electromagnetism?<\/span><\/span><\/a><span style=\"font-size: medium;\">&#8221; Oc2007 it was shown one can derive the propagation of electromagnetic energy by extrapolating the laws of classical wave mechanics in three-dimensional environment to a matter wave on a &#8220;surface&#8221; of a three-dimensional space manifold with respect to a fourth *spatial* dimension.<\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">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.\u00c2\u00a0 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.<\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">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.<\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">Therefore, classical wave mechanics, if extrapolated\u00c2\u00a0 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 that will result in its elevated and depressed portions moving towards or become &#8220;attracted&#8221; to each other. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">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. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">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. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">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.\u00c2\u00a0 Therefore, similar charges will repel each other because the magnitude of the force resisting the displacement will be greater for two charges than it would be for a single charge. <\/span><\/p>\n<p class=\"style1\" align=\"left\"><span style=\"font-size: medium;\">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. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">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.\u00c2\u00a0 This force is called magnetism.<\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">This is analogous to how the vertical force pushing up of on mountain also generates a horizontal force, which pulls matter horizontally towards the apex of that displacement. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">The reason why electromagnetic energy is quantized is because its energy is propagated through space in quantized resonant systems photons defined in the article &#8220;<\/span><a title=\"Permalink to : Why is energy\/mass quantized?\" href=\"https:\/\/www.theimagineershome.com\/blog\/?p=17\" rel=\"bookmark\"><span style=\"color: #0080ff;\"><span style=\"font-size: medium;\">Why is energy\/mass quantized?<\/span><\/span><\/a><span style=\"font-size: medium;\">&#8221; Sept. 24, 2007. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">Briefly that article showed the four conditions required for resonance to occur in a classical 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 <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">The existence of four *spatial* dimensions would give the &#8220;surface&#8221; of a three-dimensional space manifold (the substance) the ability to oscillate spatially with respect to it thereby fulfilling one of the requirements for classical resonance to occur. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">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. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">Therefore, these oscillations on a &#8220;surface&#8221; of three-dimensional space, would meet the requirements mentioned above for the formation of a resonant system or &#8220;structure&#8221; in space. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">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. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">Similarly the energy associated with resonant systems in four *spatial* dimensions could only take on the discreet or incremental values associated a fundamental or a harmonic of the fundamental frequency of its environment. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">In other words the quantum properties of an electromagnetic wave is a result of a resonant system system formed in environment consisting of either four *spatial* dimensions or four dimensional space-time.<\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">This shows that one can derive a common link between gravity and electromagnetism because it defines both in terms of a displacement in environment consisting of either a fourth *spatial* dimensions or four dimensional space time. <\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">It should be remember Einstein\u00e2\u20ac\u2122s genius allows us to choose to define all systems in either a space-time environment or one consisting of four *spatial* dimension when he defined the geometry of space-time in terms of the constant velocity of light. This interchangeability broadens the environment encompassed by his theories thereby giving us a new perspective on their properties and how they physically connected to our observable universe.<\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: medium;\">Later Jeff<\/span><\/p>\n<p class=\"style1\"><span style=\"font-size: xx-small;\">Copyright Jeffrey O&#8217;Callaghan 2007<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We have shown throughout this blog and its companion book &#8220;The Reality of the Fourth Spatial Dimension&#8221; there are several theoretical advantages to defining the universe in terms of four *spatial* dimensions instead of four-dimensional space-time. One of these is that it would allow for the derivation of a physical link between gravity and electromagnetism &#8230; <a title=\"Linking Gravity with electromagnetism in four *spatial* dimensions\" class=\"read-more\" href=\"https:\/\/www.theimagineershome.com\/blog\/gravity\/\" aria-label=\"Read more about Linking Gravity with electromagnetism 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":[21,19],"tags":[54,59],"yst_prominent_words":[1424,1421,1745,1816,1408,1693,1814,1482,1694,1817,1409,1665,1418,1661,1471,1426,1815,1420,1443,1415],"class_list":["post-32","post","type-post","status-publish","format-standard","hentry","category-theroetical","category-relativity","tag-1-theoretical","tag-2-relativity"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.theimagineershome.com\/blog\/wp-json\/wp\/v2\/posts\/32","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.theimagineershome.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.theimagineershome.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.theimagineershome.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.theimagineershome.com\/blog\/wp-json\/wp\/v2\/comments?post=32"}],"version-history":[{"count":3,"href":"https:\/\/www.theimagineershome.com\/blog\/wp-json\/wp\/v2\/posts\/32\/revisions"}],"predecessor-version":[{"id":25809,"href":"https:\/\/www.theimagineershome.com\/blog\/wp-json\/wp\/v2\/posts\/32\/revisions\/25809"}],"wp:attachment":[{"href":"https:\/\/www.theimagineershome.com\/blog\/wp-json\/wp\/v2\/media?parent=32"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.theimagineershome.com\/blog\/wp-json\/wp\/v2\/categories?post=32"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.theimagineershome.com\/blog\/wp-json\/wp\/v2\/tags?post=32"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.theimagineershome.com\/blog\/wp-json\/wp\/v2\/yst_prominent_words?post=32"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}