A large, transparent glass sphere suspended in midair above a dark, matte surface, its interior etched with faint, glowing geometric lines suggesting spacetime curvature and coordinate grids. Around the sphere, subtle ghosted shapes of cones, tori, and polyhedra hover in soft focus, hinting at geometric foundations of physics. Cool, directional studio lighting from the upper left creates crisp reflections on the glass and gentle gradients across the background, with a calm, contemplative atmosphere. Shot at eye level with a slightly off-center composition and shallow depth of field, the image feels precise, professional, and photographic, evoking independent theoretical research without any text, logos, or human presence.

K.L. Spalding

K.L. Spalding

Geometric perspectives on identity, coherence, and quantum foundations

A minimalist research desk in a quiet, modern study, featuring a sleek, dark metal laptop displaying a glowing 3D geometric manifold made of fine, luminous lines, next to a stack of unmarked, plain notebooks and a clear acrylic ruler. The desk sits against a softly blurred wall covered with pinned, unbranded white sheets sketched with intricate geometric diagrams and spacetime grids. Cool, diffused afternoon light enters from an unseen window, casting gentle, elongated shadows and creating a focused, studious mood. Captured from a slightly elevated angle with photographic realism and sharp focus on the laptop screen, the composition uses the rule of thirds to suggest an organized, independent physics research environment without any people or visible affiliations.

Geometric Foundations of Physics

This site documents work in the geometric foundations of physics, motivated by questions about how physical structure arises and what our current theoretical frameworks leave unresolved.

About research

Updates

Brief notes on current projects and draft papers.

An abstract, metallic geometric landscape extending into the distance, composed of interlocking grids, smooth curved surfaces, and wireframe polyhedra that subtly bend and twist to suggest spacetime curvature. The ground is a dark, reflective plane that mirrors the structures above, while a faint, glowing horizon line divides the image. Soft, cool studio lighting from both sides emphasizes edges and contours, creating delicate highlights and controlled shadows. Photographic realism with a wide-angle, low perspective gives depth and scale, while a slightly desaturated, academic color palette of blues, grays, and silvers establishes a professional, contemplative atmosphere suitable for a physics research homepage hero image.

Independent Research in Conceptual and Foundational Physics

The work engages foundational questions in physics — problems of structure, individuation, and the geometric basis of physical law — in areas where existing frameworks depend on assumptions that lack deeper justification. Manuscripts are in preparation.

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Thank you for your interest in my work. If you have questions about my research, collaboration inquiries, or requests related to upcoming publications, please use the form below. I read all messages and respond as time allows. Please let me know whether your message relates to current papers, future collaboration, or general questions so I can respond more efficiently.

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