On half-adders based on fusion of signal carriers: Excitation, fluidics, and electricity

Abstract

Likely outcomes of a collision between two objects are annihilation, reflection or fusion. We show how to construct a one-bit adder with pattern that fuse on impact. A fusion gate has two inputs and three outputs. When a signal is generated on a single input the object propagates along its own output trajectory. When both inputs are activethe objects collide at a junction of input trajectories, fuse and propagate along dedicated output trajectory. Thus two outputs produce conjunction of one signal with negation of another signal; and, third output produces conjunction of input signals. By merging two outputs in one we make a one-bit half adder: one output is the conjunction of input signals, another output is the exclusive disjunction of the signals. We discuss blue-prints of the half-adders realised with two types of physical signal careers ---wave-fragments in excitable medium and high-velocity jet streams. We also propose an electrical circuits analogous of a fusion half-adder. By running fusion half-adders in reverse we find that, despite realising the same functions when in a straight mode, all devices implement different functions when their inputs swapped with outputs

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