Geometric interpretation conjecture for twisted monstrous Lie algebras

Let $\mathbb M$ be the Monster. For each $g\in\mathbb M$, let $\mathfrak m_g$ be the corresponding twisted monstrous Lie algebra and let $\mathcal I_g$ be its instanton space. Assume that a family of $g$-twisted chiral three-dimensional quantum gravities exists with the properties stated in the first conjecture. Geometric interpretation conjecture. There exists a natural geometric interpretation, via second quantization of the corresponding $g$-twisted chiral three-dimensional quantum gravities, of the family of twisted monstrous Lie algebras $\mathfrak m_g$, the instanton spaces $\mathcal I_g$, and the denominator formulas, for all $g\in\mathbb M$. This extends the proposed quantum-gravitational interpretation from the twisted partition functions to monstrous Lie algebras, instanton spaces, and denominator identities; the source gives no resolution.