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In the burgeoning field of materials artificial intelligence (AI), latent spaces emerge as pivotal constructs that encapsulate complex representations of material properties and structures. This conceptual manuscript develops a novel theoretical framework, termed the geometric epistemology of latent representations (GELR), which posits that latent spaces are not merely computational artifacts but scientific objects amenable to epistemological scrutiny. By analyzing the geometry of these spaces—encompassing manifolds, curvatures, and topological features—the framework elucidates how representational geometries encode implicit theoretical assumptions about material continuities, hierarchies, and emergent behaviors. Drawing on philosophical insights from scientific realism and constructivism, GELR integrates concepts from differential geometry and information theory to interrogate how latent representations facilitate knowledge production in materials discovery. The manuscript synthesizes recent advancements in generative models, highlighting their role in bridging atomic-scale structures with macroscopic properties without empirical validation. Through this lens, latent spaces are reconceptualized as dynamic arenas where AI-driven inferences challenge traditional ontological boundaries in materials science. This approach fosters a reflexive understanding of AI‘s epistemic contributions, promoting more robust theoretical integration and guiding future representational strategies. Ultimately, GELR advances a paradigm where representation geometry serves as a meta-theoretical tool for critiquing and refining AI applications in materials informatics.

"Novel material" has become the central claim in nearly every paper introducing generative models for materials discovery. Yet the term is used with striking ambiguity. Authors routinely assert that their models have produced "novel materials" without clarifying whether this means the output lies outside the training distribution, satisfies basic chemical rules such as charge balance and realistic bond lengths, or meets the far stricter requirement of being synthesizable in a laboratory. This boundary/definitional article identifies three distinct meanings—distributional novelty, chemical validity, and synthesizability—and demonstrates how the current literature routinely conflates them. A generated crystal may be distributionally novel (absent from the training set) yet chemically invalid; it may be chemically valid yet lie far above the convex hull and therefore remain unsynthesizable. Such conflation leads to overclaims that inflate expectations and hinder reproducible progress in inverse design. This analysis maps the boundary conditions for each meaning and proposes a hierarchical operational definition with six explicit levels. The framework requires authors to report novelty percentages at every level rather than a single vague statistic. Distributional novelty marks the first filter, chemical validity the second, and synthesizability the third, with synthesizability itself subdivided into thermodynamic, dynamical, kinetic, and experimental realizability layers. The article further examines boundary cases, gray zones, and implications for model evaluation and benchmark design. By replacing ambiguous rhetoric with precise, multi-level reporting, the proposed definition establishes a shared language for generative models in materials engineering and prevents the overinterpretation of computational outputs as laboratory-ready discoveries. Adoption of this operational framework will sharpen claims, improve comparability across studies, and ultimately accelerate the translation of generative predictions into experimentally validated materials.