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Human-interactive annealing is a new method for understanding invisible but relevant events, and inventing hypothetical scenarios. The human-interactive annealing is elaborated for texts. It is applied to patents for acquiring opportunity in technology development. An illustrative experiment on discovering opportunity by analyzing US patent texts on(More)
Latent structure behind observation often plays an important role in the dynamics of visible events. Such latent structure is composed of invisible events named dark event. Human-interactive annealing is developed to visualize and understand dark events. This paper presents application of the human-interactive annealing with pictogram for designing new(More)
We study quantum caustics (i.e., the quantum analogue of the classical singularity in the Dirichlet boundary problem) in d-dimensional systems with quadratic Lagrangians of the form L = 1 2 P ij (t) ˙ x i ˙ x j + Q ij (t) x i ˙ x j + 1 2 R ij (t) x i x j + S i (t) x i. Based on Schulman's procedure in the path-integral we derive the transition amplitude on(More)
We study caustics in classical and quantum mechanics for systems with quadratic Lagrangians of the form L = 1 2 ˙ x 2 − 1 2 λ(t)x 2 − µ(t)x. We derive a closed form of the transition amplitude on caustics and discuss their physical implications in the Gaussian slit (gedanken-)experiment. Application to the quantum mechanical rotor casts doubt on the(More)
A complete geometric unification of gravity and electromagnetism is proposed by considering two aspects of torsion: its relation to spin established in Einstein–Cartan theory and the possible interpretation of the torsion trace as the electromagnetic potential. Starting with a Lagrangian built of Dirac spinors, orthonormal tetrads, and a complex rather than(More)