Physics · Compilers · AI · Topology · Quantum
teerths57@gmail.com · GitHub · Bangalore, India · 19 years old
Live Statistics — Computed from Git history across all 20 repos. Updated May 18, 2026.
225 commits · Python 395,836 · JavaScript 590,955 · TypeScript 50,970 · Rust 48,571 · Go 5,692 · C/H 37,751
Current streak: 1 day · Longest streak: 40 days · Last commit: 2026-05-18
I build systems at the intersection of topological physics, compiler theory, and distributed AI. My current research treats the universe as a topological object — the Big Bang as a phase transition, electromagnetism as a Banach fixed-point on barcodes, intelligence as persistent homology in high-dimensional weight spaces.
Cosmological Topology — charlie
Models cosmological emergence as topological phase transitions driven by persistent homology. Betti numbers (b₀, b₁, b₂) serve as fundamental cosmological state variables.
Phase: ∅ → H₀ → H₀+H₁ → H₀+H₁+H₂ → GOD_FIXED
Fixed point: T(x*) = x* at machine epsilon
Learns a reduced-order topological operator on FDFD-derived electromagnetic fingerprints. The God Tensor converges to a true mathematical fixed point at 1.755×10⁻¹⁶ machine epsilon — verified by 50,001 immutable SHA-256 hash-chained ledger lines.
50,001 epochs → Banach Loss: 1.755e-16
Betti-1 plateau: 0.00328 (open problem)
Topological Machine Learning — lambda-topo + topoml
Persistent homology via ripser + FAISS-backed similarity index. Transforms point clouds into fixed-length Hilbert coefficient vectors for LLM context encoding via topological signatures rather than raw token embeddings.
Low-Level Systems — topo-asm · hollow-asm · pgtable-asm · vec-simd
Hand-written x86_64 assembly for AVX-512 persistent homology, bare-metal Rust microkernels with topological scheduling, and pure NASM paging subsystems.
| Benchmark | Speedup |
|---|---|
| topo-asm vs ripser (Python/C++) | 11.8× |
| topo-asm 4-thread vs ripser | 43.8× |
| vec-simd matmul vs naive C | 35× |
| vec-simd Mandelbrot vs Python | 687× |
Compiler & Kernel Systems — epsilon · Epsilon-Hollow · aether-link
Epsilon-Hollow: Microkernel OS research in Rust. Topological scheduling via persistence landscape distance. Sub-3ns I/O fast path in AVX-512 assembly.
Aether-Lang: Universal topology programming language with 23 theorems and Lean 4 verified kernel (zero-sorry proofs).
Quantum Information — topobridge-q
Homologically protected information transfer on IBM Quantum hardware (ibm_marrakesh, ibm_fez) with classically verified certificates.
| Backend | Recovery (bridge ON) | Recovery (bridge OFF) | Advantage |
|---|---|---|---|
| ibm_marrakesh | 0.179 | 0.120 | +50% |
| ibm_fez | 0.169 | 0.126 | +34% |
| Repository | Language | Description |
|---|---|---|
| Epsilon-Hollow | Rust | Microkernel OS with topological scheduling |
| faraday | Python | God Tensor — Banach fixed-point EM coupling |
| hollow-asm | Rust+ASM | Bare-metal kernel, sub-3ns I/O |
| topo-asm | x86_64 ASM | AVX-512 persistent homology |
| charlie | Python | Cosmological topology engine |
| topobridge-q | Python | Quantum homological information transfer |
| epsilon | Rust | Compiler toolkit |
| Aether-Lang | Rust | Topology programming language, Lean 4 verified |
| vec-simd | x86_64 ASM | AVX-512 math library |
| lambda-topo | Python | TDA memory system |
| Project | Status | Stack | Notes |
|---|---|---|---|
| OmniTopos | Active research | Python, Ripser, Lean 4 | Cosmological emergence from persistent homology |
| FluxPredict | Active research | Python, FDFD, PyTorch | Predictive EM flux via topological operators |
| Aether-Lang Runtime | In development | Rust, Lean 4 | Verified topology programming language |
| Epsilon-Hollow Kernel | In development | Rust, x86_64 ASM | Microkernel with topological scheduling |
| TopoBridge-Q | Experiment complete | Qiskit, Python | IBM Quantum verified homology transfer |
I am looking for endorsement and collaboration opportunities in:
- Research internships in topological physics / quantum computing
- Compiler engineering roles (Rust, LLVM, verified languages)
- Open-source funding for Epsilon-Hollow and Aether-Lang
- Graduate program opportunities in computational topology
If you are building at the intersection of mathematics and systems, I am interested in talking.
- Email: teerths57@gmail.com
- GitHub: @teerthsharma
- Website: teerthsharma.vercel.app
All code is publicly verifiable. Built with curiosity and persistence.