Time and Space as Unpredictable Biological Constructions
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Whatever we can say, we say in rhythms of symbols—e.g., words written as marks on paper. What a mark symbolizes to us or to other agents cannot be predicted on the basis of measurement and calculation. Without admitting any explicit notion of an agent, quantum theory implies a role for an unpredictable symbol-handling agent. To accept agents and symbols into physics is to see mechanisms, especially clocks, not in isolation but as tools that agents build and adjust as needed. We model a symbol-handling agent by combining a modified Turing machine with an adjustable clock, needed to allow communication of symbols from one agent to another. To communicate, agents must adjust their clocks so as to mesh their rhythms of oper- ation. We call this meshing of rhythms logical synchronization and display its features. While symbols are digital, maintaining logical synchronization requires something analog, idiosyncratic, and unpredictable, beyond symbols. Our main claim is that logically synchronized rhythms of symbols need not be seen as taking place in some externally supplied “space and time,” but instead are the raw material out of which physicists construct time, space, and spacetime. We hypothesize that all living organisms employ logically synchronized rhythms of symbols. We invite collaboration to explore, in a variety of contexts for people and other living organisms, the situations involv- ing logical synchronization of rhythms of symbols that differ from those used in physics. Accompanying such initial study, we would like to see the development of mathematical expressions of logical synchronization applicable to more complex cybernetic systems than those we discuss here.
Abstract
Whatever we can say, we say in rhythms of symbols—e.g., words written as marks on paper. What a mark symbolizes to us or to other agents cannot be predicted on the basis of measurement and calculation. Without admitting any explicit notion of an agent, quantum theory implies a role for an unpredictable symbol-handling agent. To accept agents and symbols into physics is to see mechanisms, especially clocks, not in isolation but as tools that agents build and adjust as needed. We model a symbol-handling agent by combining a modified Turing machine with an adjustable clock, needed to allow communication of symbols from one agent to another. To communicate, agents must adjust their clocks so as to mesh their rhythms of oper- ation. We call this meshing of rhythms logical synchronization and display its features. While symbols are digital, maintaining logical synchronization requires something analog, idiosyncratic, and unpredictable, beyond symbols. Our main claim is that logically synchronized rhythms of symbols need not be seen as taking place in some externally supplied “space and time,” but instead are the raw material out of which physicists construct time, space, and spacetime. We hypothesize that all living organisms employ logically synchronized rhythms of symbols. We invite collaboration to explore, in a variety of contexts for people and other living organisms, the situations involv- ing logical synchronization of rhythms of symbols that differ from those used in physics. Accompanying such initial study, we would like to see the development of mathematical expressions of logical synchronization applicable to more complex cybernetic systems than those we discuss here.
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