A characterization of isofields and their isoduals

Journal Article · Tue Jun 01 04:00:00 EDT 1993 · Hadronic Journal

OSTI ID:223763

Kadeisvili, J V ^[1]; Kamiya, N ^[2]; Santilli, R M ^[3]

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1. Inst. for Nuclear Physics, Alma-Ata (Kazakhstan)
2. Shimane Univ., Matsue (Japan)
3. Inst. for Basic Research, Palm Harbor, FL (United States)

Because of certain physical motivations, one of us (R.M.S.) introduced in 1980 the notion of isofields as the infinite family of axiom-preserving isotopies of fields of characteristic zeros, with the isotopy referred to the multiplication, and introduced in 1985 a new conjugation characterizing the so-called isoduals isofields. In this paper we introduce the most general possible formulation of isofields and their isoduals, including the isotopies of the elements, for the case of arbitrary isocharacteristic p. Ten classes of most significant isofields, are then identified depending on the most salient characteristics of their structure. The relevance of the theory is illustrated by showing that all fields of characteristic zero (the fields of real numbers, complex numbers and quaternions), as well as all their infinitely possible isotopes and isodual isotopes can be unified into one single abstract notion, the isofield of real numbers. 30 refs.

• OSTI ID: 223763
• Journal Information: Hadronic Journal, Journal Name: Hadronic Journal Journal Issue: 3 Vol. 16; ISSN HAJODX; ISSN 0162-5519
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 GENERAL AND MISCELLANEOUS
FIELD THEORIES
HILBERT SPACE
LIE GROUPS
VECTOR FIELDS