Constructing Condensed Memories in Functorial Time

31 Pages Posted: 21 Sep 2022

See all articles by Shanna Dobson

Shanna Dobson

University of California, Riverside (UCR)

Chris Fields

Independent Researcher

Abstract

The constructive nature of episodic memory suggests that experienced time is also a construct. We develop an event-based formalism that replaces the traditional objective, agent-independent notion of time with a constructive, agent-dependent notion of time. We show how to make this agent-dependent time entropic and hence well-defined. We use sheaf-theoretic techniques to render agent-dependent time functorial and to construct memories as sequences of observed and constructed events with well-defined limits that maximize the consistency of categorizations assigned to objects appearing in memories. We then develop a condensed formalism that represents memories as pure constructs from single events. We formulate an empirical hypothesis that human episodic memory implements a particular constructive functor.

Keywords: condensed sets, pro-objects, frame problem, higher category theory, hypergraphs, sheaves

Suggested Citation

Dobson, Shanna and Fields, Chris, Constructing Condensed Memories in Functorial Time. Available at SSRN: https://ssrn.com/abstract=4225612 or http://dx.doi.org/10.2139/ssrn.4225612

Shanna Dobson (Contact Author)

University of California, Riverside (UCR) ( email )

900 University Avenue
Riverside, CA CA 92521
United States

Chris Fields

Independent Researcher ( email )

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