FIZIKA B 10 (2001)  4, 211-234

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INHERENTLY RELATIVISTIC QUANTUM THEORY
PART IV. QUANTIONIC THEOREMS

EMILE GRGIN

Institute Ruđer Bošković, HR-10000 Zagreb, Croatia
E-mail address: eg137@ix.netcom.com

Dedicated to Professor Kseno Ilakovac on the occasion of his 70th birthday

Received 16 January 2002; Accepted 18 February 2002
Online 6 April 2002

Having completed in Part III of the present work the development of the quantionic algebra, we derive, in this final part, the algebraic theorems needed for its application to physics. The most important of these theorems are those related to the quantionic norm. The quantionic norm generalizes the norm of state vectors in standard quantum mechanics, and has immediate physical interpretations suggested by its geometric properties.

PACS numbers: 02.10.Jf, 03.65.-w
UDC 530.145

Keywords: quaternion, octonion, division algebra, quantion, quantum, unification

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