Regular polar spaces admit tight embeddings

Let ${\cal S}$ be a regular polar space. A tight embedding of ${\cal S}$ is an embedding

$$\bar{\varepsilon}:{\cal S}\rightarrow\mathrm{PG}(V)$$

that satisfies the tightness condition defined in the paper.

Embedding conjecture. Every regular polar space admits a tight embedding.

This concerns the relationship between regularity and embeddability for polar spaces, particularly in infinite rank, where tight embeddings need not characterize regularity. The source does not provide evidence that the conjecture has been resolved.