Mathematical Physics for Neuroscientists and Psychiatrists - Course

SUBTITLE: An exacting systematic Course of the Brain

OBJECTIVE

The objective of this course is to introduce the mathematical physical foundations of the organization of the central nervous system in a way that makes its many intractable aspects intelligible to most neuroscientists, psychiatrists, and psychologists with a neuroscience background. If you are interested in applying precision psychotherapy in clinical settings or fundamental research similar to RDoC, a clear understanding of mathematical physics constructs as applied to the organization and electrophysiological dynamics of the brain is indispensable.

At the end of this course, you will become proficient in the following:

• Binary number system and electronic circuit logic
• Understanding the underlying information processing mechanisms of the nervous system
• Gaining insight in brain organization by comparing neural circuits with electronic circuits
• Understand how the central nervous system’s circuits implement behavior
• Explaining the reason for somatotopic organization of the central nervous system in mathematical physics terms.
• Explaining the reason of the manifolding geometry of the cerebral cortex in mathematical physics terms
• Using mathematical Symmetry and Isomorphisms to interpret neural topology
• Describing the mathematical metric dimension of the dichotomy between Brain and Mental Body and how they correlate

 REQUISITES

You must have at least an undergraduate level of education in any field of Mental Science for this course to be profitable. Basics of neural science are not explained in this text but assumed part of the student’s background. Some level of Biology 101 is a plus in terms of pre-requisites.

METHOD

Special emphasis on coherent and intelligible explication of mathematical constructs that makes them readily accessible to good sense. No mystifying math whose code presentation is kept at a minimum.

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EVALUATION

A list of 22 questions and problems is provided at the end of the fascicle for the student to juggle his/her understanding of the study material.

COURSE CONTENTS

1. Introduction to the Binary Number System

2. Correlation Between the Decimal Number System and the Binary Number System

3. Binary Coded Decimals

4. Operations on Binary Numbers

5. Boolean Algebra

6. Number Systems in Technology

7. Interfacing Analog Systems with Logical Systems

8. Additional Advantages of a Logical System

9. The Central Nervous System as a Logical Network

10. Defining Boundaries of Neural Circuits and Networks

11. Neural Processes Execute a Deterministic Mission

12. Isomorphisms in Mathematical Physics

12.1 Isometry in Mathematical Physics

13. What is a Metric Space?

14. What is a Metric?

14.1 QGT Metric

14.2 World Brane Metrics

15. Determinism in the Neural Dimorphic and Somatotopic Arrangements

15.1 Determinism in Dimorphic Organization

15.2 Determinism in Somatotopic Arrangement

16. Stochastic Trend of Mental Body Processes

17. How to Resolve the Manifest Disjunction Between Brain Dynamics and Mental Body Dynamics

18. Is There Any Mentation Activity in Behavioral Expression?

18.1 What is a Neural Circuit and a Neural Network?

19. Homeomorphisms Between Brain Space and Mentation Space

19.1 Arc Reflexes

19.2 Cataleptic Sleep

20. Why AI Transformers Do not Elicit Consciousness

21. Information Processing in the Neural System is One-Dimensional