The sum over history is a useful approach to the quantum world. At the same time, it is a strange approach too. It assumes that the quant...
The sum over history is a useful approach to the quantum world. At the same time, it is a strange approach too. It assumes that the quantum world filled with ghosts, filled with virtual particles, which exist in the quantum world, but not in our "real" world. We cannot see them directly, we can see only the effects that they cause. They pop up from nothing, live only as long not to see them, and still give the major part of our real world. Strange but true, because utilizing this theory we can predict the reality such precision what few theories can. The quantities of the physical values, what the theory predicts, has multi digits precision, and the accuracy depends only how deep we want to go into history.
A remarkable theory with a few drawbacks. The biggest problem in the theory that this is only a method of calculation and cannot give us real meanings. According to the usual explanation of the virtual particles: the uncertainty relation allows the virtual particles to exist by borrowing energy from the vacuum, from nothing, as long as we, who live in the real world, will not notice it. And this "notice" is not a technological limit but an absolute limit of the reality. The theory assumes the vacuum exists, and contribute a lot to our real world. Exists in our real-world without any possibilities of direct confirmation by us, only exists in indirect effects, which are real because it confirms our measurements. Strange it is.
The other problem with the theory is that it cannot predict all quantities of reality. It cannot predict some values, for example, the mass and charge. The theory needs to import these values from outside, from direct measurement. And maybe the biggest problem is the renormalization. It means, to get finite, actually precise results from this theory, we need to subtract infinite values from each other. It works because we can get the real values, but the method is fishy for sure.
The sum over history is a remarkably useful method of calculating real values but has problems with the theoretical foundation. The grid theory may give some insights into the theoretical basis of the sum over history method.
In the grid theory, as it was discussed before, a particle exists as a resonance, like a wave on the grid field, on the grid particles. If the resonance, if the wave creates a closed-loop on the grid field, then it is a fermion, if not, then it is a boson. The qualities of the fermions or the bosons are the different states of the resonances, various waveforms on the grid fields. How many various forms of these waves can exist, how many different particles exist are determined by the grid field, the grid particles, how these can vibrate, how these can create open and closed resonances.
How the sum over history effect can be explained utilizing the grid theory? The vibrations, which create the particles are not sealed from the neighboring area of the grid field. It extends its resonance toward the neighboring grid particles with similar vibration characteristics. Actually, a resonance never exists in a sealed manner on the grid field. It exists as a dynamic configuration, extended on the grid field. The extension has the same characteristics as what the "original" resonance has, but because it is only an extension, it is not an independently existing "whole" particle or particles. The extension of the resonance bears real physical values but lock on independence.
This is how the sum over history may work in physical reality. The resonance, which is the particle extends its vibration to the nearby grid field, creates similar characteristics of its own in a decaying manner.
Still, need some explanation about the virtual antiparticles what the sum over history theory assumes to be created as well. How they created if the resonance creates similar characteristics. However considering that the antiparticle really has the same characteristics as a particle has, only the sign of the value is opposite, then it can be seen that the characteristics of the particles and antiparticles are the same. Even the vacuum created bosons and the corresponding fermions can be explained this way because they different not in the characteristics but in the closed or the open configuration of the given resonance.
Maybe even the necessary renormalization can be avoided utilizing the grid field mechanics if we consider the graininess, the quantization of the grid field. Because the grid field consists of not infinitely small grid particles, do not need to count an infinitely long sequence of the physical effects, which is the basis of the renormalization. The physical effects have limits, how deep can go. In grid theory, the vacuum is quantized.
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