Geometric Roots of the Anticipatory Procedures

This communication shows the dependence between the forecasting waves and their propagation spaces. Indeed the points are the space molecules and consequently radiate waves throughout their whole space according to "de Broglie" relation.

To develop this particularly scheme we introduce generalized futures under vector compositions, the echoic horizons, the moving operators (Z.O.), the travelling waves and the topic flows. The pulsating points show space structures as in a telescope ocular.

An operational comparison is developed between the recurrence algorithms applied to points and the scanning of the future states. The stabilizing function of echoes over the evolutions is underlined.

For illustrating a permanent stationary future in technology, we scan the conversion of power in an electrical machine where a pair of rotating electromagnetic waves, performs a progressive procedure for maintaining the functional stability.