Thursday, October 26, 2023

Characterizing Consciousness Using Mathematical Tools





What is consciousness? It's a question that has philosophers and scientists baffled for centuries. But now, a new study has used the Yoneda lemma, a mathematical concept, to characterize consciousness based on its similarities to fermions, which make up matter.

What is the Yoneda lemma? The Yoneda lemma is a mathematical concept that characterizes relationships between concepts by looking at categories of objects. The Yoneda lemma states that the relationship between two categories is entirely determined by how object maps in the first category are mapped to object maps in the second category.

What are fermions? Fermions are elementary particles with half-integer spin, which provides their space-filling properties to form matter. Some examples of fermions are electrons, protons, and neutrons.

The mathematical model of the Yoneda lemma showed that consciousness and fermions have identical connection maps, proving their near-identic structures and operations (Shown below). The finding that consciousness and fermions are similar is significant because it provides a new way to think about consciousness. It suggests that consciousness is not something separate from the physical world but rather a fundamental part of it.

The findings could lead to new ways to understand and treat consciousness-related disorders, such as schizophrenia and Alzheimer's disease. In addition, the work provides a new way to think about consciousness and its relationship to the physical world.

The hypothesis is supported by many neuroscience, psychology, and social sciences findings. 

Ways to test the hypothesis:

  1. The neural systems energy relationships, particularly neural computation, can be studied in dish brains.
  2. Computer simulation can test the validity of the hypothesis. 
  3. Analysis of time series from electroencephalography (EEG) and functional magnetic resonance imaging (fMRI) data permits quantifying brain activity states and their corresponding transitions.




The connection maps of consciousness and fermions according to the Yoneda lemma. 

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