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SUMMARY:Marek Danielewski (AGH)
DTSTART:20201229T170000Z
DTEND:20201229T180000Z
DTSTAMP:20260423T011101Z
UID:QMFNoT/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QMFNoT/19/">
 Foundations of the Quaternion Quantum Mechanics</a>\nby Marek Danielewski 
 (AGH) as part of QM Foundations & Nature of Time seminar\n\n\nAbstract\nWe
  show that quaternion quantum mechanics has well-founded mathematical root
 s and can be derived from the model of the elastic continuum by French mat
 hematician Augustin Cauchy\, i.e.\, it can be regarded as representing the
  physical reality of elastic continuum. Starting from the Cauchy theory (c
 lassical balance equations for isotropic Cauchy-elastic material) and usin
 g the Hamilton quaternion algebra\, we present a rigorous derivation of th
 e quaternion form of the non- and relativistic wave equations. The family 
 of the wave equations and the Poisson equation are a straightforward conse
 quence of the quaternion representation of the Cauchy model of the elastic
  continuum. This is the most general kind of quantum mechanics possessing 
 the same kind of calculus of assertions as conventional quantum mechanics.
  The problem of the Schrödinger equation\, where imaginary ‘i’ should
  emerge\, is solved. This interpretation is a serious attempt to describe 
 the ontology of quantum mechanics\, and demonstrates that\, besides Bohmia
 n mechanics\, the complete ontological interpretations of quantum theory e
 xists. The model can be generalized and falsified. To ensure this theory t
 o be true\, we specified problems\, allowing exposing its falsity.\n
LOCATION:https://researchseminars.org/talk/QMFNoT/19/
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