Tuesday, June 28, 2011

Stability of lattice structure

Every junction in a stable latticework structure is made up of four quanta of matter each. Each quantum of matter tends to remain angularly equidistant from its neighbors. Each latticework square has four quanta of matter as its sides. Apparent repulsion between their bodies (as a result of adhesion between quanta of matter in contact at common junction point) tends to maintain shape of latticework square. Deformation of a latticework square changes its shape. One or more sides of the latticework square may tend to elongate. Since the quanta in the lattice structure are already under compression and their lengths are controlled by the compression, lengths of sides of a deformed latticework square will be automatically adjusted to suit the required shape. Similarly, if it is required to reduce lengths of latticework square’s sides, excess pressure from ends of quanta of matter will be able to reduce their lengths to suit the shape of latticework square. A reduction in length of a quantum of matter will be compensated by increase in its width. An increase in its length will be accompanied by a reduction in its width. At a stable junction point, with four quanta of matter, each quantum of matter is under stress to move in line with its neighbor and form quanta-chain. Such motion is prevented by presence of four quanta of matter at the junction. Stress between neighboring quanta of matter tends to keep angle between neighboring quanta of matter at equal value. If left free, a latticework square will automatically seek its most stable state in the shape of a perfect square. This is possible only if all sides of a latticework square are formed by quanta of matter of somewhat equal matter-content. If deformation of latticework square is too great, number of quanta of matter at its junctions may be increased to accommodate more quanta of matter or reduced to have lesser number of quanta of matter. In these cases, geometrical shape of latticework squares may be altered temporarily. In this state, the lattice structure remains under stress as long as the deformation remains in the lattice structure. Tendency of latticework squares and hence that of lattice structure to strive towards stable state, endows a lattice structure with its inherent property to strive towards isotropic, homogeneous and serene state. All deformations are opposed by equal and opposite stabilizing efforts.

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