“Symplectic Reflections: Charting the Course of Personal Transformation through Hamiltonian Dynamics”
<p>Drawing parallels to this mathematical foundation, the philosophical exploration of emotions by authors such as Robert C. Solomon, Noel Carroll, and William Barrett invites us to consider whether emotional transformations exhibit similar properties to those of reversible processes in symplectic manifolds. Solomon’s theory that emotions are a product of our judgments suggests a form of reversibility and transitivity analogous to the symplectic flow. Carroll’s narrative context of emotions aligns with the nondegeneracy in symplectic geometry, where each point has a unique trajectory, reflecting the individuality of emotional responses to art. Barrett’s existentialist approach to emotions highlights the irreversible depth of emotional experiences, which may contrast with the mathematical reversibility but engages with the manifold’s transitivity in personal development.</p>
<p><a href="https://medium.com/@ingvargrijs/symplectic-reflections-charting-the-course-of-personal-transformation-through-hamiltonian-5887f8263f78"><strong>Read More</strong></a></p>