spectral-dimension

Network science toolkit analyzing Venice's street network through Infomap community detection, Girvan-Newman clustering, and MBRW spectral analysis to reveal urban structure, fractal properties, and modular organization using Python and MATLAB.

Thermodynamics of scale: entropic c-functions, data processing H-theorem, spectral heat capacity = spectral dimension, Jarzynski/Crooks for scale protocols, and the RG arrow of time (Paper 5)

It unfolds a hyperspectral image by combining its two spatial dimensions.

Exact RG flow of the spectral dimension: bond percolation on the diamond hierarchical lattice, closed-form mass dimension, resistance exponent, d_s ~ 1.40, rewiring and transport universality (Paper 7)

Emergent Metricity from Spectral Connectivity

Code, data, figures and manuscript for "Crossover from Discrete to Continuous Quantum Geometry: Running Spectral Dimensions, Noncommutative Spectral Triples, and Critical Phase Transitions" (R. Chen, 2026).

Calculate spectral dimensions of arbitrary fractal structures

Geometría Radial Unitaria (GRU) v2.5 — Causal Spine, LISA falsifiability, PPN/SO3/QC validation.

Reproducibility package for Projective Correlation Theory (PCT): manuscript, Python capsules, data, chains, and checksummed outputs for emergent-spacetime observables.

Quantum Fisher Information as a Spectral Entanglement Witness (Cosmochrony condensed-matter companion note)