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728 papers from the QNFO program, filed on nine shelves by the reader each one is written for: energy per answer, error correction, physics, numbers and p-adics, logic and formalism, AI and knowledge, autonomous systems, assessments, and cross-cutting essays. Every page renders its mathematics and can be questioned in place. How a living paper works.
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Results for “topological” 6 papers
Quantum biology. Light harvesting and magnetoreception Tagged papers: 34.
Projective Braid Group Representations from a Microscopic Long-Range Kitaev Chain
We construct an explicit projective representation of the braid group from the microscopic Hilbert space of a Kitaev chain extended with algebraically decaying long-range hopping and pairing. The construction proceeds in three steps. First, we identify the topological phase of the long-range Kitaev…
The Adelic ZBW Programme: ZBW-Majorana Hypothesis, Ostrowski-QEC Synthesis, and Cross-Programme Consilience
The ZBW-Majorana hypothesis, developed across four companion papers (P1--P4), establishes that Zitterbewegung (ZBW) --- the rapid trembling motion of Dirac fermions at the Compton scale --- is a $\mathbb{Z}_2$ topological observable that distinguishes Dirac from Majorana fermions at the hardware…
Quantitative Simulation of the Brain's Cognitive Architecture
The human brain seamlessly integrates noisy local inputs into a globally consistent percept, a phenomenon that Euclidean models struggle to adequately explain. Theoretical physics suggests that frustrated complex systems settle into hierarchical equilibria characterized by ultrametric topologies.…
THERMODYNAMIC AND TOPOLOGICAL CONSTRAINTS ON BIOLOGICAL QUANTUM PROCESSING
This study establishes a rigorous quantitative boundary between engineered quantum systems and biological matter, defined by the thermodynamic cost of information protection. By benchmarking the 2025 Google “Willow” superconducting processor—which requires cryogenic isolation (20 mK) and active…
KINETIC ISOMORPHISM
The schism between the time-reversible, unitary laws of quantum mechanics and the irreversible, adaptive nature of biological systems constitutes a central failure of modern ontology. We propose the kinetic isomorphism, a unified theoretical framework demonstrating that “static” matter and “active”…
Monistic Reality
This paper presents a monistic reality framework that unifies fundamental physics, consciousness, and collective intelligence within a single mathematical architecture. This framework posits that reality is fundamentally a pre-geometric informational substrate structured as a Hamiltonian…
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