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You asked for opinions and insights concerning ih and ict.Well, you got aware of as I am claiming most important consequences affecting 20th century theories in physics. If you are ready to read my essay carefully and open for accepting your own conclusions, you will hopefully not shy back from what seems to be unbelievable.Regards, Eckard Eckard, While I am completely with you on the attempt to remove mysticism from physics [we seem to be losing this battle, by the way] I also agree with Penrose that complex calculus is almost magical in it's beauty. Paul Nahin is an Electrical Engineer and I really think you would love his book.I have no real argument with your contention that "No matter how useful negative as well as imaginary numbers are, reality can be expressed without them." In the bottom figure on page 2 of my essay, the 'arrow' goes through the 'surface'.Having learned a solid step by step approach to complex calculus at TU Dresden from 1960 to '66 and subsequently taught fundamentals of EE for more than forty years at Otto v.Guericke University Magdeburg, I cannot confirm any mystery of i.
I've read many essays in the past few days, and the details get fuzzy fast.I was told: More than a hundred years ago, the EEs decided to prefer anticlockwise rotation by multiplication with i in order to get as little negative signs in complex power of propagating signals as possible.I collected a lot of seemingly mysterious oddities and asked myself for reasonable explanations.If I introduce the complex 'i' as a means of keeping these two directions orthogonal, I can derive Schrodinger's equation almost immediately.
I'm trying to write this up in a convincing manner.Author Bio See Download Essay PDF File Dear Eckard, That was a really enjoyable essay, clearly combining your vocation and your avocation. I believe that I mentioned to you in the past, but if not, I'd like to recommend now Paul Nahin's "An Imaginary Tale, The Story of SQRT(-1)". You mention Heisenberg's imaginary difference and Minkowski's ict.