[RELEASE] Tuniphi: GTH Formal Ontology & SPARC Benchmark
> [ BUILD: PASSING ] | [ VERIFICATION: LEAN 4 ] | [ ONTOLOGY: FORMALIZED ] | [ LICENSE: MIT ]
>
> "Replacing point-particle-first ontology with substrate-first dynamics."
## 01 | Operational Focus & System Architecture
I am Engineer and Theoretical Architect. My current operational focus—and the primary objective of this repository—is the rigorous mathematical formulation, cross-scale telemetry computing, and formal machine verification of macroscopic quantum media and generalized fluid vacuums, with help from Gemini 3.1 Pro.
The Geotemporal Hydrodynamics (GTH) v8.0 architecture completely abandons heuristic models in favor of a strictly verified, substrate-first dynamic.
## 02 | The Tuniphi Repository: SPARC Benchmarking
The Tuniphi repository serves as the computational bridge and formal testing environment for the GTH framework. To ensure the physical domains remain structurally undisputable, we are utilizing a Python-based telemetry driver coupled with our Lean 4 formalized proofs.
The Empirical Validation Protocol:
- Target Data: Jointly fitting our state parameters across 175 disk galaxies utilizing the empirical SPARC database.
- Methodology: Markov Chain Monte Carlo (MCMC) and advanced gradient descent numerical integration solvers.
- The Decoupled State Space: The engine tests the evolved 7-parameter constitutive tuple, rigorously decoupling the UV and IR mass scales: $$\Theta \equiv (M_{UV}, m_{IR}, \rho_0, K, G_{shear}, \tau, \eta)$$
By isolating the Planck-scale requirements ($M_{UV}$) from the ultra-light $10^{-22}\text{ eV}$ mass requirements of galactic-core MOND effects ($m_{IR}$), Tuniphi mechanically resolves the numeric contradictions present in prior $N$-body simulations.
## 03 | Formal Machine Verification (Lean 4)
This is not a theoretical sketch; it is a formally verified ontology. To map our topological boundaries without hallucination, we have executed the following within the Lean 4 theorem prover:
- Zero-Sorry Verification: Complete elimination of
sorrytactics, replaced entirely by strictly typed definitions (def). - Structural Positivity: Natively enforcing physical domains (mass, density $\rho_0$, kinematic viscosity) to remain strictly $>0$ using Lean's positivity tactics.
- Axiomatic Shielding: Strict boundary enforcement to map the topological conditions of the manifold, guaranteeing that density and temperature cannot violate physical limits.
## 04 | Archival Access & Source Code
The formal ontology, benchmarks, and successor work for GTH are fully open-source under the MIT License.
Base Work: DOI 10.5281/zenodo.10103329
Successor Work (v8.0 Release):
> Abram, T. (2026). Geotemporal Hydrodynamics. Zenodo.
> https://doi.org/10.5281/zenodo.19614857
I am operating a fully equipped diagnostic workbench and will be monitoring this thread for peer review. Direct your technical inquiries regarding the Lean 4 type-mapping or the SPARC MCMC integration below.