Sunday, July 08, 2007

Brief Review on How We Know What We Think We Know

Comments #3 Brief Review of How We Know What We Think We Know

I said...

How do we know what we think we know?
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Without the benefit of seeing the skinny fourth spatial dimension, we couldn't really measure those 4D volumes and very small angles, so we concocted the concept of Mass (the 3D projection of a 4D Volume).

If you don't know that you are traveling radially at the speed of light, your 3D observations and body of knowledge will have to be adjusted to consider lightspeed to be the limiting speed on the 3D sliver of Universe you live. That entails stretching proper time, contracting space, etc.

I don't know who else did it, but I certainly did notice that Lorentz transformations is equivalent to a rotation by an imaginary angle and that time is imaginary in Physics.

The point is that by discovering Lorentz transformations we postponed another 100 years the discovery that we are all in motion at the speed of light. Were I am certainly being optmistic in believing people will eventually discover my work..:)

I appologize for being loud and sometimes outrageous or at least defiant in my corner of the internet... It is very, very quiet here and sometimes one has to scream to check to see if anyone is listening...:)

Next, I've just copied a prior blog - sanitized from some of my sense of isolation - in preparation for better blogs about the Hyperons... The Hyperon work was done last year end, during my vacation....I was pleasantly distracted and had only some of my attention on the problem.... so they might be perfect or not... I didn't reconsider the assignment problem to check for mistakes... I welcome any suggestions, corrections..

In my paper, I expressed Newton's equation as:



This is already a geometrization of Newton's equation but it is still impure, since it contains spurious concepts like Mass. The concept of Force as being any interaction that twists alpha (twists the Fabric of Space) is already present!!!!!!

To achieve the appropriate paradigm just divide both sides by the mass and you will have acceleration.


Similarly one has an acceleration for the left panel:
First think about what an equation is. If you place two identical objects separated by an equal sign (e.g. 2=2) you end up with an equation but it contains no information. It is a simple tautology.

For an equation to be non-trivial it has to relate two different paradigms (e.g. 1+1=2). This contains information about the addition of integers, or unitary segments, or unidimensional vectors) etc...

Newton's equation does just that, it maps a vector Force (which lives in a different space from Mass and Acceleration) and maps their products in a Natural Law. Mass is a scaling factor (extensive property) in the same way that a Strain is scaled by the area where that strain occurred to give the causing Stress.

In the Hypergeometrical Universe, the Force (Stress) is the same on both panels. This paradigm can be easily modified if we realize that Force (Stress) causes the rate of deformation of the local Fabric of Space, being the Mass an scaling factor. Under this paradigm, instead of acceleration we have Strain which eventually should be scaled up by the appropriate "area" to yield the total Stress.

The equation below showcase this paradigm: This is Newton's equation in a purely geometrical perspective. There is still a generalized force (stress) which is alright, since the stress is explained by the Quantum Lagrangian Principle governing the position of dilators to follow the constructive interference of dilaton fields.
I will write the equation 4D Stress as:
with strain given by:
notice that the proper time is dimensionalized by its scaling with c (lightspeed). As you can see, Mo is the projection of an unitary 4D area (or 4D Displacement Volume). If you call 3D Stress as F you would have recover formally Newton's Second Law. F and M are just Words nothing else.

In my paper, I used the Stress4D to calculate both Gravitation and Electromagnetism. Where you see Area4D= One, I read Area4D= One Atomic Mass Unit (a Hydrogen atom for Gravitation or the Fat Electron for electromagnetism).

If you remember that all maximae displacement volumes of the fundamental dilator are performed in phase with the dilaton field, it becomes clear that the displacement at the Proton phase adds in phase with the displacement at the Electron phase, thus the dilator has a Area4D equal to an Hydrogen Atom (a spin zero Hydrogen Atom).

This might make your Brain spins but take my word for it, or better don't take my word for it and check the logic for inconsistencies. A clean mind is a sign of mental disease...:)

There is a reason for Newton's madness. He lived in a World of charges, masses, forces. Specially charges are evil...:) One cannot write from Gauss Electrostatics equation a simple equation for acceleration that doesn't depend upon the probe charge. This is solved by the Fat Electron paradigm working together with the Quantum Lagrangian Principle. With those simple concepts, I created the equivalent 4D-Mass or Area4D of an electron or proton to be one a.m.u. which was used within the left panel to calculate force. Thus the 4D Mass of an electron is the same as the 4D mass of a proton: one a.m.u.

Refinements are associated with the rotational motion and were considered in the paper (gyromagnetic ratio comes out of that refinement).

Well, that is that. Newton's Second Law, a Natural Law has a different interpretation in the Hypergeometrical Universe.


Cheers,

MP
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