On “ potentials ” in the theory of quantized fields

Kazuya Mameda, Arata Yamamoto

We investigate the analogy between magnetism and rotation in relativistic theory. In nonrelativistic theory, the exact correspondence between magnetism and rotation is established in the presence of an external trapping potential. Based on this, we analyze relativistic rotation under external trapping potentials. A Landau-like quantization is obtained by considering an energy-dependent potential.

Sergei Vladimirovich Tyablikov

Yu.M. Lomsadze, I.Yu. Krivsky, І. В. Хіміч

Jincheng Zhang

This paper introduces the Quantized Classification Theory of Structures (QCTS), a novel approach to classifying objects that moves beyond the traditional, discrete paradigm. QCTS posits that objects do not simply belong to a category but rather exist in a quantum state, represented by the ket notation |ΨX⟩. This fundamentally alters the classification process, introducing the potential for a continuous classification scheme alongside, or even replacing, the conventional discrete one. The theory's core relies on recognizing that many systems exhibit characteristics that defy simple categorization, suggesting an underlying probabilistic nature amenable to quantum mechanical description. This paper outlines the theoretical framework of QCTS, exploring its potential applications and implications for diverse fields, ultimately aiming to provide a more nuanced and accurate representation of structural classification. The theory is presented as a foundational framework, ripe for further development and exploration within various scientific disciplines. ---

Efim S. Fradkin

TSUTOMU HORIGUCHI

We apply Bohm's quanium potential interpretation to a third-quantized uni­ verse theory. Using this interpretation, we obtain trajectories of the universe field in a third-quantized de Siuer minisuperspace model.