Searching for Quantum gravity. what is infinity? (6)
Oh Youngjong
(dmqcka @ gmail.com)
(This article contains my own personal view and not finished yet so be noted that it may contain wrong information. It can be modified at any time without notice.)
What is infinity?
It is a new model for gravity which describes the fundamental nature of time and space ranging from Plank scale to cosmos scale. There are many papers concerning problem of time (POT) [1, 2 …] It is a most difficult and crucial problem in unifying Quantum theory and theory of general relativity because the notions of time in two great principles are mutually incompatible. In quantum mechanics, time is, especially in the time dependent Schrodinger equation (TDSE), absolute in that it is like a parameter fixed all the “time” which is continuous and differentiable. When we look at the continuous time axis (as far as I know, it is true) in TDSE, we are easy to get an impression that time flows at a fixed rate from past to future because there seems to be no finite region of special importance in this time dimension. On the other hand, time is relative and dynamical in the theory of general relativity. It is common sense that Einstein proved that time is relative, not absolute because he found that time can be distorted under influence of massive matter nearby. It is the outcome of GR that my time flow rate can be varied depending on where I am located in empty space or near surface of earth.
The problem of time must be resolved if we want to put together two great principles in physics but no one succeeded to produce a solution so far. Many difficulties in understanding the nature of time are listed in [1] but I will not recap those for two reasons. The first is I, as a hobbyist studying physics, don’t have enough knowledge and secondly that is not what I try to do. As I already stated many times, I think myself crazy enough to propose another model for gravity which will be different and perhaps batter that Einstein’s theory even I did not major physics in university. If you like some absurdity or are generous with a crazy mind like me, I will do my best to give you some fun and exciting stuffs concerning a whole new crazy idea on the most fundamental notions such as infinity, time, mass and energy. I will begin by explaining the notion of infinity which human cannot touch or measure.
I think many scientists will agree on that QM is so weird that no one understands it as Richard Feynman mentioned early. What makes QM so weird or why we feel difficult in understanding QM? From my study, I concluded it is because QM is a realm ruled by infinity which human do not have clear understanding or is an abstracted notion beyond out of reach. In daily life, it is impossible to see something infinite. There is no infinite money, energy, memory and time. In computer, the most basic error in calculation is dividing by 0 error because it is not defined. When we see infinity in calculation, then we try to find another way yielding no infinity if possible. We feel difficult in dealing with infinity because we do not understand what infinity actually means and how it work in nature. It has been true since Zeno’s paradoxes which were raised in dealing with the notion of infinity were introduced. Understanding infinity properly, I mean to find a whole new different view on infinity which no one noticed before, is the first key thing in explaining my new gravity model. It is not difficult but simple. It does not require any advanced mathematics but require you abandon all your biased knowledge and open minded to a new way of thinking.
The story begins with a simple question: In a dimension, does a point have size? I bet everyone will answer that a point does not have size. If someone says something different, all readers think it crazy. Never in my life have I seen any person arguing a point with non-zero size in a dimension. But I will be first crazy person arguing that and ask you staying with me. Why I think so? Firstly I need to mention I also believe that in principle a point has zero size but with one condition a point can have non-zero size. The condition is related with infinity. If a point is accompanied by infinity, then it becomes non-zero sized. This is first thing readers must be open-minded to. It is the key element to understand superposition in QM which is one of strange phenomena. If a particle is accompanied or given by infinite time, then it can many places at a single instance in “time” showing the property of unitarity. I think this can be reasoned by inspecting the Thompson’s lamp paradox carefully.
Thompson’s lamp with a switch has two states; on and off. Hit the switch once, it turns it on. Hit it again, it turns it off. Whenever the switch hit, lamp changes its state. Here is an endless process. Firstly, he hit the switch to turn lamp on. One second later he hit it to turn lamp off. In half second, he turns it on. At the next a quarter of a second, he turns it off. The story normally ends up with a question; at the end of two seconds, is the lamp one or off? It is the paradoxical because it cannot be easily answered. But here is the very point we need to be creative. My answer here is that the lamp has both states after two seconds. The two states of lamp can be thought as size-less points in a dimension having only two states. Logically, before two second, the state of lamp is simply one among two states; on and off but after two second there is no way to know the exclusive state so the size of state of lamp must be 2 not 1. But initially assumed, the state of lamp is exclusive one, not both of them so the lamp system must show the property of unitarity. The role of infinity here is the same thing that creates superposition in QM. My reasoning may sound weird and hard to believe but it will help you eventually understand deeper level of the nature. Another story concerning infinity will be introduced in the next post.
To be continued …
Reference
[1] PROBLEM OF TIME IN QUANTUM GRAVITY
Edward Anderson, APC AstroParticule et Cosmologie, Universit´e Paris Diderot CNRS/IN2P3, CEA/Irfu, Observatoire de Paris, Sorbonne Paris Cit´e, 10 rue Alice Domon et L´eonie Duquet, 75205 Paris Cedex 13, France, arXiv:1206.2403v2 [gr-qc] 16 Aug 2012
[2] Time in Quantum Mechanics
Curt A. Moyer, Department of Physics and Physical Oceanography, UNC Wilmington, arXiv:1305.5525v1 [quant-ph] 23 May 2013
