generate and geometric dimensional rendering in 3d/4d object from the following: $$
S \leq \frac{k_B A}{4 \ell_P^2}
$$
where:
- $ S $ = entropy (in nats or bits)
- $ k_B $ = Boltzmann constant
- $ A $ = surface area
- $ \ell_P $ = Planck length
In **bits**, this becomes:
$$
I_{\text{max}} \leq \frac{A}{4 \ell_P^2} \cdot \log_2(e) \approx \frac{A}{4 \ell_P^2} \cdot 1.4427
$$
