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Giuseppe Longo¹, Maël Montévil

¹Informatique, CNRS-Ecole Normale Supérieure and CREA, Paris, France. longo@di.ens.fr

Theory in Biosciences = Theorie in Den Biowissenschaften

|December 1, 2010

Summary

This study introduces a mathematical framework for understanding cognitive and biological time, focusing on the "extended present." It models memory and anticipation, proposing a concept of "biological inertia" to explain these temporal experiences.

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Area of Science:

Cognitive Science
Theoretical Physics
Mathematical Biology

Background:

Cognitive and biological time perception are complex phenomena.
Existing physical theories primarily address memory (retention) but not anticipation (protention).
The concept of the 'extended present' integrates past and future experiences.

Purpose of the Study:

To propose an abstract mathematical framework for cognitive and biological time.
To model the 'extended present' by incorporating both retentional (memory) and protentional (anticipation) activities.
To introduce a novel concept of 'biological inertia' derived from functional representations of anticipation.

Main Methods:

Developing an abstract mathematical framework inspired by physical relaxation phenomena.
Representing memory (retention) using concepts from physical relaxation.
Proposing a functional representation for biological anticipation (protention).

Main Results:

An abstract mathematical model for describing aspects of cognitive and biological time.
A functional representation of biological anticipation.
The introduction of the concept of 'biological inertia'.

Conclusions:

The proposed framework offers a novel approach to understanding the temporal dimensions of cognition and biology.
The concept of 'biological inertia' provides a potential basis for future research into the physics of anticipation.
This work bridges theoretical physics and cognitive science to explore the nature of subjective time.