Member # 333
posted 12. April 2003 15:51
Quantum cosmology is the application of quantum theory to the entire universe. This may seem weird, since the universe is a large macroscopic system and macroscopic systems obey the classical laws. General relativity explains the evolution of the universe after the very first fraction of a second. At [t = 0] to [t = 10^(-43)] seconds, quantum theory is necessary for a consistent explanation. For very small length scales and extremely brief time periods, Heisenberg uncertainty rules..
Einstein's theory of general relativity accurately describes the evolution of the universe after the first fraction of a second of its existence up to the present, or "now". On the other hand, general relativity is not consistent with the principles of quantum theory and thus, it is not an accurate description of physical processes that occur at very small length scales or over very short times. These processes require a theory of quantum gravity.
The path integral approach discovered by the physicist Richard Feynman, has been very successful in quantum physics. With the path integral approach, the probability that a system in an initial state A will evolve to a final state B is given by summing the paths from every possible history of the system that starts in A and ends in B. The path integral is mostly referred to as a "sum over histories". For large systems, certain histories are out of phase and cancel each other out. One classical history is imortant, and it is in phase, becoming re-enforced.
Mathematically, the path integrals are formulated in a background with four spatial dimensions, not three spatial dimensions and one time dimension. Something called "analytic continuation" is used to convert the path integral's results expressed in terms of four spatial dimensions into results expressed in terms of three spatial dimensions and one time dimension. This basically converts one of the spatial dimensions into the time dimension. This spatial dimension is sometimes referred to as "imaginary" time because it involves the use of the imaginary numbers.
sqrt(-1) = i
The imaginary time of Hawking and Hartle, could correspond to the "global" spacetime of the 1/R endomorphic superposed reality self incusion process, which is an n-dimensional manifold in complex phase space. At right angles to our observed 3D world-existence. It could also be one possible interpretation of the CTMU of Chris Langan.
global superposition universe
The real time would then correspond to our "locally observed" inflationary expanding spacetime.
So the global spacetime with "no-boundary" would be a timeless existence with four or more spatial dimensions, being a superposition of all possible universes. It would be a timeless history of self projection. The real history would be the locally observed "spacetime" where the universe appears to be expanding. Globally the history is one of a sphere. Locally the history is one of an observed accelerated cosmic expansion. What appears to be an asymptotically flat spatial expansion. The inflationary universe.
It is hard to imagine four spatial dimensions, but these four dimensions without time, are a type of "timeless" existence. Since the complex numbers a + bi are also real numbers a + bi , with b = 0, these types of number, contain the real numbers. Complex numbers are a superset of the real numbers.
Two waves of the same frequency moving in opposite directions, in phase, are at standing wave resonance. Constructive interference. The waves are re-enforced. Two waves moving in the opposite direction, out of phase, destructively interfere with each other and are weakened. They are self cancelling.
The most optimal paths from A---->B are the re-enforced waveforms. Standing wave resonances of M-Theory.
This type of numerically-isomorphic universe is an abstract reality, equivalent to a software that reads and writes itself. A universal self programming algorithm, hologrammatically self simulated and self projected. This type of quantum computer universe, would be different than ordinary types of computation. It would be a process of eliminating possibilities, in effect, reality chooses the most optimal, or maximally utilizable path for itself.