Peter HF Lau

Emergence of the Proton-to-Electron Mass Ratio from a Continuous U(1) Topological Graph

The Standard Model mass hierarchy is conventionally treated as a set of fundamental inputs. This paper presents a dynamical systems model demonstrating that the proton-to-electron mass ratio (≈ 1836.15) can emerge natively from a continuous topological graph without hardcoded glo...

Quantum State Geometry - Towards Quantum Gravity

We present a minimal operational route towards quantum gravity from three axioms: (1) time = Fisher distinguishability $dt = \hbar\, ds / \Delta E$, (2) bounded spectrum $E \le E_{\max}=c^5/G$, (3) $r_q \ge r_s$. From this single constant $E_{\max}$ we derive:$G = \hbar c^5/E_{\m...

QSG-String - Time as Existence - QSG State as Fundamental Mathematics v3

Main paper + Rigorous proofs: Two papers build Quantum State Geometry (QSG).If quantum states have positive curvature, they have distance. Energy spread gives a clock from that distance.Among all quantum spaces, one holds the most information: CP3. We call it the minimal atom of...

Quantum State Geometry String Framework (QSG‑String) : Toward a 4D Quantum State Geometry String Theory

Quantum State Geometry (QSG‑String) reformulates string theory as emergent bundles of geodesics in Hilbert space. This approach derives the Nambu‑Goto action, string tension, critical dimensions, and Regge trajectories directly from Fubini‑Study geometry, eliminating the need for...

Quantum State Geometry (QSG) - A Disformal Effective Action Framework for Cosmological Dynamics

We introduce Quantum State Geometry (QSG) as an effective field theory linking projective Hilbert-space state evolution to spacetime metric dynamics. By coupling matter fields to a disformal effective metric governed by a scalar quantum-variancefield ϕ ≡ ∆E/MP , QSG modifies the...

Quantum State Geometry (QSG) - A Disformal Effective Action Framework for Cosmological Dynamics

We introduce Quantum State Geometry (QSG) as an effective field theory linking projective Hilbert-space state evolution to spacetime metric dynamics. By coupling matter fields to a disformal effective metric governed by a scalar quantum-variancefield ϕ ≡ ∆E/MP , QSG modifies the...

AI Turing Machines and Catastrophe Theory - Application to the Extinction Problem: " Will AI Extinguish Humanity ? "

This work introduces the AI Turing Machine (AITM) framework and its probabilistic extension, formalizing adaptive computation, solvability hierarchies, and catastrophe theory mappings. We apply the model to the existential question “Will AI extinguish humanity?” and prove that wh...