Submissions from A. A. S. Shatashvili
- [1] faKiv:2404.08744 [pdf]
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A fourth dimension for the interacting a single particle with an emergent mass scaleComments: 12 pages, 2 figures
We propose a fourth dimension with the interaction of a single particle with an emergent mass scale, and study a single field theory with a mass scale of $\mathcal{N} = 4$ in the presence of a single particle. We derive the resulting equation of state of the interacting a single particle in the fourth dimension, and construct a formula for the interacting mass scale of the fourth dimension. We also show that the fourth dimension equation of state is determined by the phase of the interacting particle in the fourth dimension.
- [2] faKiv:2404.08745 [pdf]
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Quantum mechanics from string theoryComments: 11 pages, 1 figure
We consider a two dimensional deformed scalar field theory on a $S^1$ manifold. We first discuss the trivial case when a deformed scalar field theory predicts the vacuum state of the scalar field. The second deformed scalar theory predicts the vacuum state of the scalar field, and then we show that the vacuum state of the scalar field is always the one governed by the deformed scalar model. The eigenvalue model has a algebraically duality group which has no eigenvalue symmetry. The eigenvalue model is compatible with quantum theory by virtue of the existence of a universal string theory eigenstate. The eigenvalue model is compatible with quantum theory by virtue of the existence of a universal string theory eigenstate. We then describe the eigenstate of the scalar field in the second dimension in terms of a quantum mechanical description of the vacuum state of the scalar field. We illustrate how the eigenstate of the scalar field is compatible with the vacuum state of the scalar field by constructing the mixed scissor model.