Dr. Thorsten Fuchs & Anna-Sophie Fuchs are the authors of the seven-volume Panta Rhei series—an independent research program that asks a single guiding question:
What if mathematics (and much of what we call “reality”) can be rebuilt from structure alone?
Across the series, they develop a categorical vocabulary that begins with foundations (τ), extends to holomorphy and spectrum (τ³ and the boundary 𝕃 = S¹ ∨ S¹), and then follows that scaffold through microphysics and macrophysics, into life, mind, and metaphysics. The work is intentionally presented as a program: rigorous in its internal development, explicit about scope, and open to testing, critique, refinement, and rebuttal.
Dr. Thorsten Fuchs
Thorsten spent two decades convinced his PhD in pure mathematics had been a beautiful detour he would never revisit. After graduate work on algebraic structure, he moved into industry—first consulting, then technology leadership—eventually leading the Office business group at Microsoft Germany.
Then the theorems called him back.
What began as an “idle curiosity” question—whether categorical structure could illuminate patterns seen across organizations, systems, and scales—turned into a sustained return to foundations. In Panta Rhei, he pursues a structural ideal: to push as much mathematics as possible into what is forced by relations, rather than chosen by convention.
Anna-Sophie Fuchs
Anna-Sophie trained as an underwater archaeologist—learning to excavate buried structures, map fragile evidence, and reconstruct a coherent story from fragments. She expected a career spent charting ancient shipwrecks.
Instead, she found herself charting a different kind of wreckage: the places where ideas break when they cannot be made to fit together.
Her contribution to Panta Rhei is the discipline of reconstruction: patient attention to interfaces, layered structure, and what “glues” globally when local claims are put under stress. Where Thorsten tends to see algebraic pattern, Anna-Sophie tends to see the human questions that patterns must answer to become meaningful. Her influence is especially visible in the later volumes, where categorical structure meets emergence, interpretation, ethics, society, and mind.
She remains skeptical of grand claims—including some within these pages. That skepticism is not a flaw in the collaboration; it is part of the method.
Why they wrote Panta Rhei
Panta Rhei is not a branding exercise and not a manifesto. It is an attempt to write down a coherent structural program—from axioms to consequences—and then follow it as far as it will go. Sometimes that means proving clean theorems. Sometimes it means stating a conjectural bridge and labeling it honestly. Throughout, the aim is the same: coherence, invariance, and transparent mechanisms.
The series is also a practical bet: after years in applied contexts, Thorsten came to believe that the most practical thing is often a good theory—and that mathematics, done honestly, is one of humanity’s sharpest forms of honesty with itself.
An invitation
They welcome serious engagement—especially:
- Critical reading of the mathematical content
- Identification of errors, gaps, or unstated assumptions
- Extensions, alternative formulations, or applications
- Honest reviews that help others decide whether to invest their time
They live near Munich with their family, where they maintain a simple policy: foundational disputes pause at the dinner table. The policy is occasionally violated.
Website: www.panta-rhei-books.org
Email: contact@panta-rhei-books.org