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▼ Headings and Paragraphs ▼
H1Quantum Evolution
The quantum evolution of the Universe can not be identified with a classical destiny, but it is enough to determine the growth of a forest of destinies of observers and their relative worlds. Quantum physics explains classical appearances without postulating that the Universe itself must have this appearance.
H2Fundamental concepts of classical physics
The fundamental concepts of classical physics, space, time, mass, and derived concepts, velocity, momentum, force, angular momentum, energy... all rest on the principle that material points have trajectories. They are defined as lines in space-time. Even the dynamics of continuous, solid or fluid media describes the trajectories of the material points which constitute the bodies in motion. But the indeterminacy relation of Heisenberg prevents quantum particles from having such classical trajectories, since their position and velocity can not be exactly defined at the same time. How then can it explain all the appearances which legitimize the fundamental concepts of classical physics?
H3The principle of relativity
The principle of relativity states that all inertial systems are "created equal": the laws of physics are the same as long as they are formulated with respect to an inertial frame — no matter which.
The first three items tell us that one inertial frame is as good as any other frame as long as the other frame differs by a shift of the coordinate origin in space and/or time and/or by a rotation of the spatial coordinate axes.
H4Physical systems and their properties
Physical systems can be divided up into a number of different categories, depending on particular properties that the system exhibits. Some of these system classifications are very easy to work with and have a large theory base for analysis.
H5The state space
The state space of the whole space is the tensor product of the state spaces of the regions in which it has been decomposed. The state vector of the universe thus describes the entanglement between all regions of space (Wallace 2012).
H6Description of reality
Einstein could not believe that quantum physics gives a complete description of reality because he did not want to give up the principle of the separability of reality. All classical physics respects the principle that the state of the system is always to be identified with the list of states of its parts.