What does this research mean for the field?

Cosmological parameters, including the dark matter to baryon ratio and a predicted 3% excess in weak gravitational lensing over General Relativity, can be exactly derived with zero free parameters as invariants of an 11-dimensional E8-graded manifold projected onto 4D spacetime. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

This work proposes a new framework for understanding cosmological invariants using transductive information physics.

May 1, 2026Open Access

Transductive Information Physics :A spectral geometric framework for cosmological invariants

Key Points

This work proposes a new framework for understanding cosmological invariants using transductive information physics.
Developed the TIP framework based on spectral geometry and E8-graded manifolds.
Derived the transductive residue δ using the Kronecker second limit formula with no fitting parameters.
Provided a statistical and computational analysis of the predictions, including verification with Mathematica.
Calculated the dark matter to baryon ratio R_DM = 5.469741, consistent with Planck 2018 results.
Predicted a universal temporal sampling frequency of Ψ₀ = 6.4532 THz at T = 310K.
Established a deviation of weak gravitational lensing with excess of 3.02585%, indicating potential observational implications.

Abstract

We present Transductive Information Physics (TIP) v1. 0, a mathematically closed spectral-geometric framework where cosmological parameters emerge as invariants of an E8-graded 11-dimensional manifold M₁ projected onto 4D Lorentzian spacetime. The projection induces a transductive residue δ, defined as the regularized spectral determinant of the Laplace-Beltrami operator on the E8 root lattice. Using the Kronecker second limit formula, we derive δ = 0. 0302585092994 with zero free parameters or fitting. From δ and anomaly cancellation constraints, we obtain: 1. Dark matter to baryon ratio: RDM = 5. 5 - δ = 5. 469741, matching Planck 2018 (5. 47 ± 0. 05) to 0. 005σ 2. Universal temporal sampling frequency: Ψ₀ = (kB*T/h) (1-δ) = 6. 4532 THz at T = 310K 3. Weak gravitational lensing deviation: θTIP/θGR = 1 + δ, predicting 3. 02585% excess 4. Causal agency window: Δφ = 1/Ψ₀ - τdec = 0. 845 ps We prove δ is an RG-invariant fixed point under the Fisher information metric. The framework is falsifiable: non-detection of the 6. 45 THz spectral line by ALMA/JWST or lensing deviations <1% at 5σ by Euclid DR3 excludes TIP. Appendix A provides full mathematical derivation. Appendix: Computational Verification includes Mathematica code for direct verification of δ. No free parameters exist in the model. Classification: Mathematical Physics math-ph; General Relativity and Quantum Cosmology gr-qc; High Energy Physics - Theory hep-th; Cosmology astro-ph. CO

Transductive Information Physics :A spectral geometric framework for cosmological invariants

Key Points

Abstract

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