Elementary Particles in a Quantum Theory over a Galois Field
نویسنده
چکیده
We consider elementary particles in a quantum theory based on a Galois field. In this approach infinities cannot exist, the cosmological constant problem does not arise and one irreducible representation of the symmetry algebra necessarily describes a particle and its antiparticle simultaneously. In other words, the very existence of antiparticles is a strong indication that nature is described rather by a finite field (or at least a field with a nonzero characteristic) than by complex numbers. As a consequence, the spin-statistics theorem is simply a requirement that standard quantum theory should be based on complex numbers and elementary particles cannot be neutral. The Dirac vacuum energy problem has a natural solution and the vacuum energy (which in the standard theory is infinite and negative) equals zero as it should be. PACS: 02.10.De, 03.65.Ta, 11.30.Fs, 11.30.Ly
منابع مشابه
Massless Elementary Particles in a Quantum Theory over a Galois Field
We consider massless elementary particles in a quantum theory based on a Galois field (GFQT). We previously showed that the theory has a new symmetry between particles and antiparticles, which has no analogue in the standard approach. We now prove that the symmetry is compatible with all operators describing massless particles. Consequently, massless elementary particles can have only the half-...
متن کاملIntroduction to a Quantum Theory over a Galois Field
We consider a quantum theory based on a Galois field. In this approach infinities cannot exist, the cosmological constant problem does not arise, and one irreducible representation (IR) of the symmetry algebra splits into independent IRs describing a particle an its antiparticle only in the approximation when de Sitter energies are much less than the characteristic of the field. As a consequenc...
متن کاملar X iv : h ep - t h / 02 06 07 8 v 1 1 0 Ju n 20 02 PROBLEM OF CONSTRUCTING DISCRETE AND FINITE QUANTUM THEORY
We consider in detail an approach (proposed by the author earlier) where quantum states are described by elements of a linear space over a Galois field, and operators of physical quantities by linear operators in this space. The notion of Galois fields (which is extremely simple and elegant) is discussed in detail and we also discuss the conditions when our description gives the same prediction...
متن کاملQuantum Theory over a Galois Field and Applications to Gravity and Particle Theory
We argue that the main reason of crisis in quantum physics is that nature, which is fundamentally discrete, is described by continuous mathematics. Moreover, no ultimate physical theory can be based on continuous mathematics because, as follows from Gödel’s incompleteness theorems, that mathematics is not self-consistent. In the first part of the work we discuss inconsistencies in standard appr...
متن کاملQuantum Theory over a Galois Field and Spin Statistics Theorem
In our previous papers it has been shown that quantum theory based on a Galois field (GFQT) possesses a new symmetry between particles and antiparticles, and for massless particles this symmetry (called the AB one) is compatible with all representation operators of the symmetry algebra. In the present paper, it is shown that the AB symmetry is compatible with all representation operators of the...
متن کامل