Towards a closed description of observation processes

Area of Science:

• Cognitive Science
• Theoretical Physics
• Formal Systems

Background:

• Traditional descriptions of observation often exclude the observer.
• A unified framework is needed to formally integrate observer-related cognitive processes into descriptions of phenomena.

Purpose of the Study:

• To develop a formal operator algebra for describing cognitive processes.
• To explore the potential for a unified description of observation and cognitive processes.
• To establish an operational definition of 'internal time'.

Main Methods:

• Development of a noncommutative semiring operator algebra.
• Application of formal methods for treating perspective notions.
• Description of parallel-processing systems using the developed algebra.

Main Results:

• The operator algebra demonstrates significant similarities to quantum theory operator algebras.
• The proposed representation scheme facilitates a unified description of processes and observer cognition.
• An operational definition of 'internal time' is achieved for parallel-processing systems.

Conclusions:

• The developed operator algebra provides a basis for a unified description of observation and cognitive processes.
• The framework offers a novel approach to understanding the observer's role in scientific description.
• This work opens avenues for defining internal time within computational and cognitive systems.