Agency and the physics of numbers
Abstract
Analogous to G\"odel's incompleteness theorems is a theorem in physics to the effect that the set of explanations of given evidence is uncountably infinite. An implication of this theorem is that contact between theory and experiment depends on activity beyond computation and measurement -- physical activity of some agent making a guess. Standing on the need for guesswork, we develop a representation of a symbol-handling agent that both computes and, on occasion, receives a guess from interaction with an oracle. We show: (1) how physics depends on such an agent to bridge a logical gap between theory and experiment; (2) how to represent the capacity of agents to communicate numerals and other symbols, and (3) how that communication is a foundation on which to develop both theory and implementation of spacetime and related competing schemes for the management of motion.
Keywords
Cite
@article{arxiv.1804.09786,
title = {Agency and the physics of numbers},
author = {John M. Myers and F. Hadi Madjid},
journal= {arXiv preprint arXiv:1804.09786},
year = {2019}
}
Comments
13 pages, 2 figures; Paper 10660-14 in SPIE Proceedings for Conference on Quantum Information Science, Sensing, and Computation X, Orlando, FL, 18-19 April 2018