The latency information theory revolution, part II: its statistical physics bridges and the discovery of the time dual of thermodynamics

Abstract

Statistical physics bridges for latency information theory (LIT) are revealed in this second paper of a three paper series that include the discovery of the time dual of thermodynamics. LIT is the universal guidance theory for efficient system designs that has inherently surfaced from the confluence of five ideas. They are: 1) The source entropy and channel capacity performance bounds of Shannon's mathematical theory of communication; 2) The latency time (LT) certainty of Einstein's relativity theory; 3) The information space (IS) uncertainty of Heisenberg's quantum physics; 4) The black hole Hawking radiation and its Boltzmann thermodynamics entropy S in SI J/K; and 5) The author's 1978 conjecture of a structural-physical LT-certainty/IS-uncertainty duality for stochastic control. LIT is characterized by a four quadrants revolution with two mathematical-intelligence quadrants and two physical-life ones. Each quadrant of LIT is assumed to be physically independent of the others and guides its designs with an entropy if it is IS-uncertain and an ectropy if it is LT-certain. While LIT's physical-life quadrants I and III address the efficient use of life time by physical signal movers and of life space by physical signal retainers, respectively, its mathematicalintelligence quadrants II and IV address the efficient use of intelligence space by mathematical signal sources and of processing time by mathematical signal processors, respectively. Seven results are stated next that relate to the revelation of statistical physics bridges for LIT. They are: 1) Thermodynamics, a special case of statistical physics, has a time dual named lingerdynamics; 2) Lingerdynamics has a dimensionless lingerdynamics-ectropy Z that is the LT-certainty dual of a dimensionless thermodynamics-entropy, and like thermodynamics has four physical laws that drive the Universe; 3) S advances a bridge between quadrant II's source-entropy H in bit units and quadrant III's retainer-entropy N in SI m2 units; 4) Z advances a bridge between quadrant I's mover-ectropy A in SI secs and quadrant IV's processor-ectropy K in binary operator (bor) units; 5) Statistical physics bridges are discovered between the LIT entropies and the LIT ectropies; 6) Half of the statistical physics bridges between the LIT entropies and LIT ectropies are found to be medium independent, thus yielding the same entropy-ectropy relationships for black holes, ideal gases, biological systems, etc.; and 7) A medium independent quadratic relationship τ=l(M/uM)2 relates the lifespan τ of a retained mass M to the ratio of M to the fractional mass uM that escapes it every l seconds, e.g., for a human with M = 70 kg, expected lifespan of τ=83.9 years (or 2.65 Gsec), l=1 day (or 86.4 ksec), its daily escaping mass is given by uM=0.4 kg. In turn, this requires him/her to consume 2,000 kcal per day (i.e., 5,000 kcal/kg times 0.4 kg) to replace the 0.4 kg lost from day to day which correlates well with expectations.