Computing Naturally in the Billiard Ball Model

  • Liang Zhang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5715)


Fredkin’s Billiard Ball Model (BBM) is considered one of the fundamental models of collision-based computing, and it is essentially based on elastic collisions of mobile billiard balls. Moreover, fixed mirrors or reflectors are brought into the model to deflect balls to complete the computation. However, the use of fixed mirrors is “physically unrealistic” and makes the BBM not perfectly momentum conserving from a physical point of view, and it imposes an external architecture onto the computing substrate which is not consistent with the concept of “architectureless” in collision-based computing. In our initial attempt to reduce mirrors in the BBM, we present a class of gates: the m-counting gate, and show that certain circuits can be realized with few mirrors using this gate. We envisage that our findings can be useful in future research of collision-based computing in novel chemical and optical computing substrates.


Cellular Automaton Logical Truth Binary Adder Collision Site Computing Substrate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Liang Zhang
    • 1
  1. 1.Center of Unconventional Computing and Department of Computer ScienceUniversity of the West of EnglandBristolUnited Kingdom

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