This book introduces the problem of time in quantum theory and shows how its resolution may provide a pathway toward a theory of quantum gravity and the unification of the fundamental interactions. To develop this perspective, it draws on trace dynamics, noncommutative geometry, exceptional Lie groups, division algebras, and Clifford algebras.
Written in a clear and accessible style, the book is suitable for advanced students and researchers in theoretical physics. It will be of particular interest to readers working in quantum foundations, quantum gravity, particle physics, unification, and the emergence of classical space-time from an underlying pre-quantum, pre-spacetime dynamics.
Tejinder P. Singh
Quantum Gravity Foundations of Quantum Mechanics Problem of Time in Quantum Gravity Quantum Measurement Problem Trace Dynamics Pre-Spacetime Theory Noncommutative Geometry Gravi-Weak Unification Aikyons (Atoms of Space-Time-Matter) Quaternions, Octonions, and Exceptional Lie Groups