I read and commented on your essay. In my comments on this excellent essay I have suggested a look at my essay at 5-D universe . I will advice a look at my comments in discussions as well. An example is below:
Dear Mr Steve Dufourny,
It is my pleasure to read your comments. Many mainstream physics experts will feel the same. Text of your comments hints to some basic questions. I will try my best to formulate and reply to them.
Before I address the questions, the 5-Dimensional universe to me is same as simple fact that Energy exists in Space. We can not intuitively conceive of energy existing without space. To this fact we add following observations taking them as facts;
a. There is no observation of negative energy objects. Negative energy is conceived as a difference between two positive values (differential potential energy). So for energy, there is no negative as it exists for charge. When we apply conservation to energy, it is different than the conservation as applied to charge. To distinguish the two, we encapsulated conservation of energy as Konservation - Conservation without neutralization.
b. The next subject of analysis used in this analysis, is what we mean by observation. Is it different than measurement. Can we measure something that does not exist? The intuitive answer is, we can not measure something which does not exist. This is used to create subset from number set, as physical number set for use in measurement.
c. When we talk of dimesions, there is a reality in front of which we express the dimensions. For example dimension of area is 2 and volume is 3. When we are considering universe ( composed of energy existing in space), we are expressing dimensions of not only space but also include the dimensions of Energy.
d. When we consider area of two dimensions, we multiply value of each dimension. However, for energy we don't do the same. The reason I believe is because, we are not able to distinguish different infinities. But with new infinite series, we can distinguish between infinities. So we can treat Energy as normal two dimensional reality, and space three dimension identity.
This gives us 5-dimensions of the universe.
1. Respect General and Special Relativity; you are very correct. We must respect these theories. The attempt here is to understand these theories as result of something more fundamental. For example consider special relativity; Consider can you measure time and distance independently. You can consider any permutation and combination, but will end up the distance measurement is based on time or vice versa. One can argue that we can have independent unit for length and time and measure them independently. But this is a false argument. The basic unit of length at the core is arrived using speed of light and time. Thus dependency of time and distance is inherent law of nature. In my view this sits at core of observations such as Lorentz transformations and The Michelson-Morley experiment. This is expressed as mapping of chronological dimension onto one of three space dimensions.
2. General Relativity: Here again you are right. General relativity is seen by mainstream physics more as a set of mathematical tools to explain gravitation. However, in 5-dimensional model we give it a direct intuitive meaning consistent with observations. This is consistence not only with Newton's gravity but also with Cosmological expansion and cosmic background radiations. It may not clear at this point, but you will defiantly find that there is no contradiction between 5-dimensional universe and general relativity.
3. Without 3-D: You are right here also. Though I don't understand full context of your statement, but I can say, the unary law 'Space contains Knergy' itself is at the foundation for space to have 3-dimensions. It is not disputed. But when we study, or evaluate results of an experiment or observation, we always encounter both space and energy, and hence 5-dimensional universe is relevant to us all the time rather.
4. Complexity and singularities in 3-D space; Here again I agree with you. You will find the same further explanation on model of universe at http://picophysics.org/applications/model-of-universe/. I am working at putting something across on this, but need to cover simpler issues before coming to formation of elementary particles where these singularities will be explained.
Thanks for your valuable comments.
Vijay Gupta
Proponent Unary Law - Space Contains Knergy
