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Priorities, Research Non Priorities

Andrius Kulikauskas: Here are my research priorities.

Research priorities

Wondrous Wisdom

• Understand the unfolding of the big picture, in Lithuanian.
  • Understand the relationship between God's four investigations (as 24-fold sciences) and our investigations (as 8-fold reservations).

Ecological thinking

• Overview and systematize what is meant by ecological thinking?
• How do we get ourselves and others to think ecologically?

Impactful critical dialogue

• How do we impact ourselves and others meaningfully with critical dialogue?

Theory Translator

• Develop a workflow to collect, systematize and present
  • conceptual frameworks
  • ways of figuring things out, especially in math
  • personal relationships with truth, deepest values, investigatory questions, within a landscape of truth
• Understand how these all contribute to a Theory Translator.
• Focus on collecting examples relevant for ecological thinking and for impactful critical dialogue.
• Map out the ways that Active Inference figures things out.

Bott Periodicity

• Investigate how {$U(n)$} sits within {$O(2n)$} and how {$J_1$} relates them.
• Investigate how {$Sp(n)$} sits within {$U(2n)$} and how {$J_2$} relates them.
• Study symmetric spaces.
• Relate super division algebras with CPT symmetry.
• Study Stone, Chiu, Roy to understand the embeddings of Lie groups.
• Study Dale Husemoller, Fibre Bundles, to calculate the homotopy groups from the Clifford modules.
• Study the relationship between CPT symmetry and random matrices.
• Understand the loop space - suspension adjunction.
• Understand Lie groups geometrically.