{"id":2480,"date":"2025-02-10T07:01:05","date_gmt":"2025-02-10T07:01:05","guid":{"rendered":"https:\/\/arctesla.com\/?page_id=2480"},"modified":"2025-02-10T07:01:05","modified_gmt":"2025-02-10T07:01:05","slug":"smp","status":"publish","type":"page","link":"https:\/\/arctesla.com\/en\/smp\/","title":{"rendered":"\u0421\u041c\u041f \u041d\u0438\u043a\u043e\u043b\u0430\u0435\u0432\u0430"},"content":{"rendered":"\n

Who Hid the Divergence?<\/h3>\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n

A long time ago, in a galaxy far, far away\u2026 Actually, no, right here on Earth, in the cozy lecture halls of universities, students believed that scalar magnetic fields do not exist<\/strong>. After all, that’s what the textbooks say, and textbooks can’t lie\u2026 right?<\/p>\n\n\n\n

However, along came a hero named G.V. Nikolaev<\/strong>, who started asking dangerous questions. For example, why does the vector potential AA seem to exist, but its divergence mysteriously vanishes<\/strong>? Is this physics or a magician\u2019s trick?<\/p>\n\n\n\n

How Does the Divergence Disappear?<\/strong><\/h3>\n\n\n\n

Let\u2019s take the vector potential:<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

f we calculate its curl (i.e., see how it twists), we get the familiar formula:<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

Everything seems fine\u2014until someone asks, \u201cBut what about the divergence?\u201d<\/strong><\/p>\n\n\n\n

Normally, if you have an equation, you can differentiate it, right? But instead of straightforward computation, textbook authors suddenly start writing dozens of intermediate formulas<\/strong>. After a long, convoluted shell game, they triumphantly declare:<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

And then they wink at the students, as if to say, \u201cJust trust us, and don\u2019t even think about checking!\u201d<\/em><\/p>\n\n\n\n

Nikolaev: \u201cLet\u2019s Check It!\u201d<\/strong><\/h3>\n\n\n\n

G.V. Nikolaev wasn\u2019t one to just \u201ctrust.\u201d Instead, he\u00a0honestly calculated<\/strong>\u00a0the divergence of\u00a0A:<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

Oops! That means scalar magnetic fields do exist<\/strong>!<\/p>\n\n\n\n

“Well, This is Awkward\u2026” \u2013 The Lorenz Gauge<\/strong> But then came a twist: in other textbooks, such as those discussing the\u00a0Lorenz gauge<\/strong>, it has long been written that:<\/h3>\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n

So Nikolaev was actually right; it\u2019s just that this fact was conveniently “forgotten” in popular textbooks<\/strong>.<\/p>\n\n\n\n

Conclusion: Something Smells Fishy!<\/strong><\/h3>\n\n\n\n

Why do scientists so vehemently deny the existence of scalar magnetic fields?<\/p>\n\n\n\n

    \n
  • Maybe admitting a mistake is too painful for academic egos?<\/li>\n\n\n\n
  • Maybe someone is afraid they\u2019ll have to rewrite entire textbooks?<\/li>\n\n\n\n
  • Or maybe,\u00a0there are hidden technologies they don\u2019t want to reveal just yet?<\/strong><\/li>\n<\/ul>\n\n\n\n

    Whatever the case, if someone is desperately trying to cover something up, then it\u2019s worth digging deeper<\/strong>. After all, science is not about blind faith\u2014it\u2019s about the search for truth!<\/strong>\u0435\u0441\u043b\u0438 \u043a\u0442\u043e-\u0442\u043e \u0443\u043f\u043e\u0440\u043d\u043e \u043f\u044b\u0442\u0430\u0435\u0442\u0441\u044f \u0447\u0442\u043e-\u0442\u043e \u0441\u043a\u0440\u044b\u0442\u044c \u2013 \u0437\u043d\u0430\u0447\u0438\u0442,\u00a0\u0441\u0442\u043e\u0438\u0442 \u043f\u043e\u043a\u043e\u043f\u0430\u0442\u044c\u0441\u044f \u0433\u043b\u0443\u0431\u0436\u0435<\/strong>. \u0412\u0435\u0434\u044c \u043d\u0430\u0443\u043a\u0430 \u2013 \u044d\u0442\u043e \u043d\u0435 \u0441\u043b\u0435\u043f\u0430\u044f \u0432\u0435\u0440\u0430, \u0430\u00a0\u043f\u043e\u0438\u0441\u043a \u0438\u0441\u0442\u0438\u043d\u044b!<\/strong><\/p>\n\n\n\n

    <\/p>\n","protected":false},"excerpt":{"rendered":"

    Who Hid the Divergence? A long time ago, in a galaxy far, far away\u2026 Actually, no, right here on Earth, in the cozy lecture halls of universities, students believed that scalar magnetic fields do not exist. After all, that’s what the textbooks say, and textbooks can’t lie\u2026 right? However, along came a hero named G.V. Nikolaev, who […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_locale":"en_US","_original_post":"https:\/\/arctesla.com\/?page_id=2467","footnotes":""},"class_list":["post-2480","page","type-page","status-publish","hentry","en-US","entry"],"_links":{"self":[{"href":"https:\/\/arctesla.com\/wp-json\/wp\/v2\/pages\/2480","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/arctesla.com\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/arctesla.com\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/arctesla.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/arctesla.com\/wp-json\/wp\/v2\/comments?post=2480"}],"version-history":[{"count":1,"href":"https:\/\/arctesla.com\/wp-json\/wp\/v2\/pages\/2480\/revisions"}],"predecessor-version":[{"id":2481,"href":"https:\/\/arctesla.com\/wp-json\/wp\/v2\/pages\/2480\/revisions\/2481"}],"wp:attachment":[{"href":"https:\/\/arctesla.com\/wp-json\/wp\/v2\/media?parent=2480"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}