Research internships + summer programs for undergraduate students worldwide (NASA, CERN, Max Planck, +100 more)

Lean 4 formalization surface; current metrics and trusted-base details live in the Release Manifest.

An annotated map of work adjacent to the Arithmon program, from information geometry to structural realism. One entry per work: what it claims, how it relates (convergent, divergent, orthogonal), and the precise delta. A living document, growing with every reading and every contact.

The hypothesis: the dimensionless constants of physics are counts, arithmetic and topological invariants of a compact geometry, with no continuously adjustable parameter. This repository is the program's charter and its list of open problems.

A Thermodynamic Heuristic Framework for the Birch and Swinnerton-Dyer Conjecture

Mindseed Research portal site (research.pyol.net) — bilingual (JA/EN) Astro site

Artifact and release layer: monographs, papers, notes, briefings, white papers, ledgers, release artifacts, and errata.

Organization profile and shared community-health defaults for the Panta Rhei Research Program.

Public research workspace: notebooks, scripts, import reports, data transforms, experiments, and exploratory support.

智能体的社会科学 · 研究纲领：当判断可以被大规模委托给非人行动者，人类社会的制度如何重写。三条公理、委托单元、七环主干、九篇学科重写、十条可检验命题。

Engagement hub: onboarding, discussions, review guidance, routing, contribution policies, and structured scrutiny.

Jekyll source for panta-rhei.site — the public research observatory for a coherent theory of reality.