MindbazarFocused investigations into difficult questions. Each note exposes its mathematical core, evidential status and route toward a complete research essay.
Gravitation / Open hypothesis
A disciplined starting point for asking whether persistent spacetime structure could mimic part of the gravitational phenomenology attributed to dark matter.
Read the research noteQuantum gravity / Information
Entanglement entropy, holographic area and the precise sense in which quantum information may participate in building spacetime.
Read the research noteTopological matter / Quantum computing
A mathematical bridge from braid groups and nonlocal degrees of freedom to intrinsically fault-tolerant quantum operations.
Read the research noteSpectral geometry / Mathematical physics
The Laplace-Beltrami spectrum, heat traces and the boundary between measurable frequencies and hidden geometric structure.
Read the research noteTransformers / Representation geometry
A careful reading of scaled dot-product attention as a data-dependent operator on representation space, without turning analogy into ontology.
Read the research noteInverse problems / Scientific computing
Inverse problems, regularization and identifiability: the mathematics connecting radar echoes, tomography and scientific inference.
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