INHERENTLY RELATIVISTIC QUANTUM THEORY PART III. QUANTIONIC ALGEBRA

Fizika B (Zagreb)

EMILE GRGIN¹ 

关键词: quaternion;    octonion;    division algebra;    quantion;    quantum;    unification;   

DOI  :  

学科分类：物理（综合）

来源: Fizika B: a journal of experimental and theoretical physics

【 摘 要 】

Quantum mechanics and relativity are not compatible at the structural level, and thismakes it very difficult to unify them. The incompatibility might mean that a completequantum theory unified with relativity exists, but is unknown, while standard quantummechanics, as a special case, cannot be relativistic. If so, searching for generalizationsis well justified, but the question is how. An old idea is to substitute a structurallyricher algebra for the field of complex numbers, but such attempts have not brought thetheory closer to relativity in the past. The present work is also based on this idea, but,unlike previous attempts, is not searching for new number systems among existingmathematical structures. From general considerations developed in the first two parts ofthis work, a new mathematical structure, referred to as the quantionic algebra,is derived as a theorem in the present paper. It is unique, manifestly relativistic, andgeneralizes the field of complex numbers in a manner consistent with quantum theory.

【 授权许可】

Unknown