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.