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A simple, physically motivated, scaling hypothesis, which becomes exact inimportant limits, yields estimates for the ground-state energy of large,composed, systems in terms of the ground-state energy of its building blocks.The concept is illustrated for the electron liquid, and the Hubbard model. Bymeans of this scaling argument the energy of the one-dimensional half-filledHubbard model is estimated from that of a 2-site Hubbard dimer, obtainingquantitative agreement with the exact one-dimensional Bethe-Ansatz solution,and the energies of the two- and three-dimensional half-filled Hubbard modelsare estimated from the one-dimensional energy, recovering exact results for$U\to 0$ and $U\to \infty $ and coming close to Quantum Monte Carlo data forintermediate $U$.Comment: 3 figure

Dimensional scaling estimate of the energy of a large system from that of its building blocks: Hubbard model and Fermi liquid