Topological Quantum Spinor Networks (TQS-Networks): A Geometry-Free Framework for Logical Cosmology v2

Onto-Binary Topology is a novel framework for modeling quantum systems using spinor logic, bilinear flow, and topological invariants—entirely independent of spacetime geometry. Each quantum component is treated as a spinor ψi = αi|0⟩ + βi|1⟩, evolving through unitary gates and internal feedback. We define ontological observables such as existence amplitude, entropy, phase winding, and bilinear vectors, and construct a topological phase space governed by logical transitions. The framework supports domain formation, defect propagation, entanglement, holonomy loops, and cosmological expansion. We simulate autonomous and controlled evolution, derive conservation laws, and compare predictions with quantum mechanics, quantum field theory, and loop quantum gravity. Topological Quantum Spinor Networks (TQS-Networks) offers a geometry-free approach to quantum structure, with implications for computation, cosmology, and foundational physics. 

This updated version incorporates several refinements to the original TQS-Networks framework. Key additions include formal derivations of curvature, complexity, and gauge symmetry; a detailed simulation protocol with pseudocode; and clarified definitions of logical topology that reinforce the geometry-free premise. Comparative analysis with established models (QM, QFT, GR, LQG) has been expanded, and testable predictions are now quantified. These changes improve mathematical rigor, simulation clarity, and conceptual coherence, aligning the paper with academic standards for foundational physics.

This new paper addition is the third in the Topological Quantum Spinor Network series and focuses on the emergence of the fine-structure constant and the structural definition of Dark Matter. It introduces a geometry-free model in which reality is represented as a sparse, evolving network of quantum spinors. Within this framework, electromagnetic interaction arises from statistical phase winding between spinors, leading to a natural derivation of the fine-structure constant as a logical interaction probability.

The paper defines Dark Matter not as a mysterious particle, but as a structural condition: mass that carries no logical charge. This means it interacts gravitationally but remains electromagnetically inert. Through simulation, the model demonstrates numerical closure for the fine-structure constant and predicts observational signatures such as gravitational lensing without electromagnetic scattering. These results offer a topological foundation for the dark sector and reinforce the idea that physical constants can emerge from pure logic, independent of spacetime geometry.