Transductive Information Physics (TIP): A Spectral-Geometric Framework for Cosmological Invariants This preprint presents a speculative theoretical framework proposing that key cosmological parameters emerge as invariants of an E8-graded spectral geometry. The model introduces a single constant δ = 0. 0302585092994, defined via zeta-regularization of the Laplace-Beltrami operator on the E8 root lattice. From δ and dimensional constants, the framework postulates: 1. Dark matter to baryon ratio: RDM = 5. 5 - δ = 5. 469741 2. Universal frequency: Ψ0 = kB T/h (1-δ) = 6. 4532 THz at T = 310K 3. Weak lensing deviation: θTIP/θGR = 1 + δ, predicting 3. 02585% excess 4. Causal agency window: ∆ϕ = 0. 845 ps The document provides explicit falsification criteria: exclusion by Euclid DR3 if lensing excess <1% at 5σ, or by JWST MIRI if no spectral line at 6. 45±0. 01 THz is detected. RDM is fitted via the choice of 5. 5 and is not an independent prediction. Status: Mathematical framework with interpretive physical mappings. No claim of empirical verification is made. All numerical values are reproducible via the provided Mathematica notebook. Keywords: spectral geometry, E8 lattice, cosmology, dark matter, modified gravity, zeta regularization, falsifiable models Version: 1. 0, April 2026 License: CC BY 4. 0
Hussain Hamza Ghulam Mustafa (Thu,) studied this question.