Liang Wang

Differentiable Discrete Symplectic Cosmology: Forward Simulation and Inverse Reconstruction of CMB-like Fluctuations

An inverse-logarithmic-square evolution law, motivated by numerical studies of non-autonomous maps and Riemann zeros, has been proposed as a generator of CMB-like fluctuations. We isolate its linear lattice sector and ask which features of a temperature sky can identify the evolu...

An Inverse-Squared-Logarithm Fine-Structure History: Conditional Tests with Atomic Clocks and Quasar Spectra

Motivated by our numerical investigation of a non-autonomous spectral construction, we test a fine-structure history $\Delta\alpha/\alpha_0=\Gamma\{\ln^{-2}(t/t_*)-\ln^{-2}(t_0/t_*)\}$. Identifying an iteration index with cosmic time and coupling the structural parameter to elect...

An Inverse-Squared-Logarithm Hubble Normalization: Conditional Distance Fits and Scalar-Field Reconstructions

Motivated by our numerical study of a non-autonomous spectral construction, we test inverse-squared-logarithm time dependence of an effective Hubble normalization, with exponential and power-law forms as comparisons. The extension from an iteration-dependent parameter to cosmic t...

AI-Guided Exploration of Arithmetic Dynamical Systems: Constraints, Failure Modes, and Search Strategies Toward Hilbert--Pólya Structures

Recent advances in AI-assisted mathematical discovery, program search, and formal reasoning motivate a practical design question: how can a long-horizon open problem be reorganized into a broad, falsifiable, and evidence-accountable human–AI search? We present a prospective candi...