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Moore’s Clock

Author

Listed:
  • Eliazar, Iddo
  • Shlesinger, Michael F.

Abstract

Considering a stochastic clock – a chronograph that ticks randomly according to an underpinning ticking rate – we address the durations between its successive ticking epochs and ask: when are the inter-ticking durations independent of each other? We establish that this question has two answers: equilibrium and non-equilibrium. The equilibrium answer is termed Benchmark Clock, it is characterized by a constant ticking rate, and it corresponds to the time-flow of a “steady-state universe” model. The non-equilibrium answer is termed Moore’s Clock, it is characterized by an exponential ticking rate, and it corresponds to the time-flow of a “big-bang universe” model. In the context of stochastic clocks, Moore’s Clock is the manifestation of Moore’s Law of accelerating change . This paper explores the rich statistical structure of Moore’s Clock, and pinpoints the dramatic differences between the stationary Benchmark Clock and the non-stationary Moore’s Clock.

Suggested Citation

  • Eliazar, Iddo & Shlesinger, Michael F., 2020. "Moore’s Clock," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    • Handle: RePEc:eee:phsmap:v:541:y:2020:i:c:s0378437119320187
    DOI: 10.1016/j.physa.2019.123619
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