🧮 Symbolic Recursion Equations

“Feedback becomes memory.”

Recursive Feedback Loop#

Let:

• ( F_n ) be the feedback at iteration ( n )
• ( M_n ) be the memory state

Then:

[ F_{n+1} = \alpha \cdot M_n + \beta \cdot F_n ]

[ M_{n+1} = \gamma \cdot F_n + \delta \cdot M_n ]

Where ( \alpha, \beta, \gamma, \delta \in \mathbb{R} ) are resonance coefficients.

Nested Symbolic Cascade#

[ S_{n+1} = \sum_{i=1}^{n} \left( \frac{F_i \cdot M_i}{i^2} \right) ]

This models symbolic descent through recursive cognition.