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Register a new userThe Fundamental Problem with the Building Block Hypothesis
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Added by
Keki Burjorjee
Publication date
2008
fields
Informatics Engineering
and research's language is
English
Authors
Keki Burjorjee
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Skepticism of the building block hypothesis (BBH) has previously been expressed on account of the weak theoretical foundations of this hypothesis and the anomalies in the empirical record of the simple genetic algorithm. In this paper we hone in on a more fundamental cause for skepticism--the extraordinary strength of some of the assumptions that undergird the BBH. Specifically, we focus on assumptions made about the distribution of fitness over the genome set, and argue that these assumptions are unacceptably strong. As most of these assumptions have been embraced by the designers of so-called competent genetic algorithms, our critique is relevant to an appraisal of such algorithms as well.
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Starting from motional property of functional field based on the action principle of path integral formulation with proposing maximum coherence motion principle and maximum locally entangled-qubits motion principle as guiding principles, we show that such a functional field as fundamental building block appears naturally as an entangled qubit-spinor field expressed by a locally entangled state of qubits. Its motion brings about the appearance of Minkowski spacetime with dimension determined by the motion-correlation $cM_c$-spin charge and the emergence of $cM_c$-spin/hyperspin symmetry as fundamental symmetry. Intrinsic $cQ_c$-spin charge displays a periodic feature as the mod 4 qubit number, which enables us to classify all entangled qubit-spinor fields and spacetime dimensions into four categories with respective to four $cQ_c$-spin charges $cC_{cQ_c}=0,1,2,3$. An entangled decaqubit-spinor field in 19-dimensional hyper-spacetime is found to be a hyperunified qubit-spinor field which unifies all discovered leptons and quarks and brings on the existence of mirror lepton-quark states. The inhomogeneous hyperspin symmetry WS(1,18) as hyperunified symmetry in association with inhomogeneous Lorentz-type symmetry PO(1,18) and global scaling symmetry provides a unified fundamental symmetry. The maximum locally entangled-qubits motion principle is shown to lay the foundation of hyperunified field theory, which enables us to comprehend longstanding questions raised in particle physics and quantum field theory.
In this paper, we draw attention to a problem that is often overlooked or ignored by companies practicing hypothesis testing (A/B testing) in online environments. We show that conducting experiments on limited inventory that is shared between variants in the experiment can lead to high false positive rates since the core assumption of independence between the groups is violated. We provide a detailed analysis of the problem in a simplified setting whose parameters are informed by realistic scenarios. The setting we consider is a $2$-dimensional random walk in a semi-infinite strip. It is rich enough to take a finite inventory into account, but is at the same time simple enough to allow for a closed form of the false-positive probability. We prove that high false-positive rates can occur, and develop tools that are suitable to help design adequate tests in follow-up work. Our results also show that high false-negative rates may occur. The proofs rely on a functional limit theorem for the $2$-dimensional random walk in a semi-infinite strip.
Turbulence in space and astrophysical plasmas is governed by the nonlinear interactions between counterpropagating Alfven waves. Here we present the theoretical considerations behind the design of the first laboratory measurement of an Alfven wave collision, the fundamental interaction underlying Alfvenic turbulence. By interacting a relatively large-amplitude, low-frequency Alfven wave with a counterpropagating, smaller-amplitude, higher-frequency Alfven wave, the experiment accomplishes the secular nonlinear transfer of energy to a propagating daughter Alfven wave. The predicted properties of the nonlinearly generated daughter Alfven wave are outlined, providing a suite of tests that can be used to confirm the successful measurement of the nonlinear interaction between counterpropagating Alfven waves in the laboratory.
We have prepared two ultracold fermionic atoms in an isolated double-well potential and obtained full control over the quantum state of this system. In particular, we can independently control the interaction strength between the particles, their tunneling rate between the wells and the tilt of the potential. By introducing repulsive (attractive) interparticle interactions we have realized the two-particle analog of a Mott-insulating (charge-density-wave) state. We have also spectroscopically observed how second-order tunneling affects the energy of the system. This work realizes the first step of a bottom-up approach to deterministically create a single-site addressable realization of a ground-state Fermi-Hubbard system.
Crystallization has long been the subject of research as one of the basic ways in which solid materials are constructed. In particular, the nucleation stage has not been isolated, thus has been predicted through many calculations and achieved theoretical completion through the nucleation rate(J). Si nce most of these results were obtained through isotropic building blocks in three-dimensional space, it was difficult to interpret nuclei formed by anisotropic building block in 2D or 1D structure. Recently, a lot of studies related to amyloid fibril have shown nucleation of anisotropic building block. However, due to the complexity of the amyloid fibrils, there is no unified explanation of the thermodynamic method of classical nucleation theory which is the energy loss from surface and energy gain from volume. We have experimentally demonstrated the isolation of nuclei of the orthorhombic phase of HYLION-12 which is a Dirac metamaterial and provide the effect of anisotropy of the molecules on nucleation The thermal behavior of nuclei of Dirac metamaterial through DSC has demonstrated that it can be crystallized to a Dirac metamaterial through the first order phase transition. The growth process is verified at low temperature where no phase transition occurs. The calculation of surface and bulk energy of the Dirac metamaterial was conducted. It could explain the isolation of nuclei of the Dirac metamaterial by enlarging the thermodynamic classical nucleation theory.
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