A Topological Surface Spin Network Brain Model

Theoretical Physics Approach to an Information Processing and Learning System
Erscheinungsjahr 2026
ISBN: 978-3-032-39614-3
Verlag: Springer

Buch, Englisch, 316 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: Studies in Computational Intelligence

This book presents a way to understand brain functions from its global properties using the methods of theoretical physics. The global form of the brain is captured by a Riemann surface with spin structure. Using such a surface network model, a global way to understand how all brain signals are generated, how and where memories are stored, how memory is recalled, how the brain behaves as a quantum computer, how the internal logic of the brain can be determined and consciousness measured. The results are quantitative. The signals produced are solitons and have explicit analytic representations. This book also shows how EEG waveforms are co-produced whenever any brain signal is generated and is able to correctly predict their frequencies and amplitudes. The memory structure is shown to be an extended helical quantum structure of linked protons and conjectured to be located in the insulating sheaths of nerve fibers. Each memory structure is shown to have a memory specific excitation frequency that overlaps with EEG frequencies. Numerous applications of the approach are included and chapters summarizing neuroscience ideas used and mathematical concepts of algebraic geometry are explained in an intuitive way. Recent observational evidence for the existence of quantum structures in the brain are discussed and von Neumann’s conjecture that the internal logical system of the brain is non-standard is proved.

Zielgruppe

Research

Autoren/Hrsg.

Sen, Siddhartha

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften Interdisziplinär Neurowissenschaften, Kognitionswissenschaft
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

The Brain.- Theoretical Models.- Basic Mathematical Ideas.- Riemann Surfaces.- Monodromy Group.- The Topological Brain.- Memory Storage in the Surface Netw.- Biophyiscal Estimates.- EEG Waveform Generation.- Consequences and Speculations.- Speculations on Connsciousness.- Reflections.

Über Autor(innen)

Siddhartha Sen was born in India and did his ScD at MIT, Cambridge, Mass, USA on Quantum Field Theory under the supervision of Ken Johnson of the Physics Department. He joined Trinity College Dublin, Ireland, in 1971 and retired as Head of the School of Mathematics in 2002. He was elected Fellow of Trinity College in 1977 and Member of the Royal Irish Academy in 2002.

He has a wide range of research interests and has published in peer reviewed journals papers on different mathematical physics topics, on quantum field theory, particle physics, condensed matter physics, quantum computing, quantum black hole physics, turbulence, self-organized criticality, and in biology on protein folding and in neuroscience on memory. He published three books.