Ben6993 wrote:Quite a long time ago I agreed with you on the micro objects but was not accepting the same for the macro objects. However, I now agree with you also on the macros, but only by divorcing the macro from the micro. I.e. I can see that a spinning ball has rotation and hence should need the higher algebra to fully describe it. But I see that macro spinning hemisphere requires the spinor treatment only because of the above and not because of any dependency on it being made up of countless micro spinors.
Ben6993 wrote:Despite now agreeing with you that a macro spinning ball needs the higher algebra, I am not clear how that higher algebra can be used on lab observations. I thought that the hidden variables can only be described using the higher algebra and that the (double cover) full information in the hidden variables is lost as soon as a lab observation (single cover) is made. So how can the single cover lab observations be used within the higher algebra? And if the lab observations are analysed using normal algebra, the full (double cover) information is immediately lost due to not using the spinor algebra? And in your macro experiment are not the lab observations to be analysed using normal algebra?
In other words: how does the need for higher algebra to cope with rotations (which I agree with) fit with the proposed experiment using single cover lab observations analysed using normal algebra?
FrediFizzx wrote:I am sure you guys will find another place to carry on the battle.
Here is a picture of oriented volumes created with GAViewer.
http://1drv.ms/1BpK6hf
Q-reeus wrote:FrediFizzx wrote:I am sure you guys will find another place to carry on the battle.
Here is a picture of oriented volumes created with GAViewer.
http://1drv.ms/1BpK6hf
Fred - how are the two polygonized spheres (hyperspheres?) to be interpreted? It's clear there is a reversal of the presumably equal magnitude surface normals, left wrt to right sphere. Also a slight relative rotation between the two that may be purely an artifact. Beyond that have no idea what for instance the 4 red dots signify. Are they meant to be aids to meditate?
FrediFizzx wrote:The spheres are not polygonized nor hyperspheres. I just drew them in wireframe mode so one can see the internal lines for orientation on the right one. The four red dots are points that define the sphere. I could have done it without the red points but it was part of an exercise I was following in the tutorial. In geometric algebra, I just did I=e1^e2^e3 basically which produces the sphere on the left. The sphere on the right is equal to -I. This is part of Joy's basic physics postulate for his local realistic model.
Joy Christian wrote:Hi Fred,
Nice start!
As you know, the sign of "I" is the "hidden variable" in the model. It specifies the orientation of the 3-sphere. So we need to distinguish the left oriented 3-sphere from the right oriented 3-sphere. Can you color the two "I"'s differently, for example red lines for "+I" and green lines for "-I"? It is difficult to set apart left orientation from the right orientation. At the moment your two pictures look more or less the same to me.
Thanks,
Joy
>> a=e1+e2+e3 (define a vector a)
a = 1.00*e1 + 1.00*e2 + 1.00*e3
>> b=-e1+e2+e3 (define a vector b)
b = -1.00*e1 + 1.00*e2 + 1.00*e3
>> A=I3.a (I3 = e1^e2^e3 so this is dot product)
A = 1.00*e2^e3 + 1.00*e3^e1 + 1.00*e1^e2
>> B=-I3.b
B = 1.00*e2^e3 + -1.00*e3^e1 + -1.00*e1^e2
>> GAproduct1= A B
GAproduct1 = 1.00 + -2.00*e3^e1 + 2.00*e1^e2
>> GAproduct2= A (-B)
GAproduct2 = -1.00 + 2.00*e3^e1 + -2.00*e1^e2
FrediFizzx wrote:I think GAViewer can be used to demonstrate Joy's model simply by doing something like the following.
- Code: Select all
>> a=e1+e2+e3 (define a vector a)
a = 1.00*e1 + 1.00*e2 + 1.00*e3
>> b=-e1+e2+e3 (define a vector b)
b = -1.00*e1 + 1.00*e2 + 1.00*e3
>> A=I3.a (I3 = e1^e2^e3 so this is dot product)
A = 1.00*e2^e3 + 1.00*e3^e1 + 1.00*e1^e2
>> B=-I3.b
B = 1.00*e2^e3 + -1.00*e3^e1 + -1.00*e1^e2
>> GAproduct1= A B
GAproduct1 = 1.00 + -2.00*e3^e1 + 2.00*e1^e2
>> GAproduct2= A (-B)
GAproduct2 = -1.00 + 2.00*e3^e1 + -2.00*e1^e2
So one can see after two runs, the scalars are +/- 1 and the rest cancels out. This is a real simple version of the model.
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