ToeQuest

We're going on a TOE Quest!


Register

Reply

Raider of the lost time

AntonioLao's Avatar

Join Date: Nov 2003
Posts: 6,036
Blog Entries: 6
86 AntonioLao is a splendid one to beholdAntonioLao is a splendid one to beholdAntonioLao is a splendid one to beholdAntonioLao is a splendid one to behold
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Quote  
05-05-2006, 02:20 PM
do math or do not

The principle of least action in analytical mechanics (in complex domain of quantum mechanics this is equivalent to Lagrangian formalism) raises the fact that nature is frugal not lazy. Nature does not waste any unnecessary expenditure of its reserved energy sources. Moreover, in order to conserve and optimize these energy expenses, nature is wise; it uses minimum principles describable by mathematics. One of these found in the real domain is given by the following: There exist two real numbers, a and b such that their products are equal to their differences, ab = a - b if and only if a = b / (1 - b) and b = a / (1 + a).

If a and b are dimensions of force then equality of forces implies that a = b = 0. If a = ∞ then b = 1 and if a = 1 then b = ∞.

If a and b are dimensions of time then the interval Dt = t(a) – t(b) is meaningful only if t(a) ≠ t(b) otherwise Dt = t(a) Ä t(b) = 0. This suggest that the physical definition of acceleration as distance per unit time per unit time implies t(a) Ä t(b) = t(a) – t(b). This can be used to remove time parameterization in quantum mechanics and quantum field theories. Hence it proved the independence of the phase factor exp(iq) in all quantum mechanical wavefunctions.

If a and b are dimensions of length then if a metric (distance) is defined as m = a - bthen m = aÄbcan be used to prove the differential form of Stoke’s theorem in vector analysis.

If a and b are dimensions of energy then if a= 1is the kinetic energy and b= ½is the potential energy then ab = a - bsatisfies the virial theorem. Furthermore, square of energy as ab implies that ab = (a - b)(a + b) where the factor (a + b) is normalized into a unit circle a + b = 1 implying that a + b = a + b = 1 which is true if and only if a= 1and b= 1/∞ or if a= 1/∞and b= 1.

If a and b are dimensions of speed then the g-factor of special relativity becomes the real part of an imaginary number.
__________________
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
Reply With Quote
AntonioLao is offlineReport Post
The Thinker

Guille's Avatar

Join Date: Mar 2005
Posts: 3,278
Blog Entries: 7
48 Guille is a jewel in the rough
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Quote  
05-05-2006, 02:35 PM
Quote:
Originally Posted by AntonioLao
ab
If a and b are dimensions of energy then if a= 1is the kinetic energy and b= ½is the potential energy then ab = a - bsatisfies the virial theorem. Furthermore, square of energy as ab implies that ab = (a - b)(a + b) where the factor (a + b) is normalized into a unit circle a + b = 1 implying that a + b = a + b = 1 which is true if and only if a= 1and b= 1/∞ or if a= 1/∞and b= 1.
But this means that a+b is equal to zero (for the multiplication of ab is the same as their difference and at the same time the same as the multiplication of their difference and their sum. But this also doesn't make sense because it would impply that ab is something times nothing. Of course, that is the meaning of the paragraph, 1 and 1/∞, but it doesn't make sense) and thus also a + b equals zero, and thus also 1=0. Any explanation???
Reply With Quote
Guille is offlineReport Post
Raider of the lost time

AntonioLao's Avatar

Join Date: Nov 2003
Posts: 6,036
Blog Entries: 6
86 AntonioLao is a splendid one to beholdAntonioLao is a splendid one to beholdAntonioLao is a splendid one to beholdAntonioLao is a splendid one to behold
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Quote  
05-05-2006, 02:42 PM
equality repels, inequality attracts

Quote:
Originally Posted by GUILLE
Any explanation???
If a = b then it implies both are zero and they repels. If ab then they attrack each other. This implies that 0 and 1/infinity is different mathematically. We cannot substitute one for the other.
__________________
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
Reply With Quote
AntonioLao is offlineReport Post
Raider of the lost time

AntonioLao's Avatar

Join Date: Nov 2003
Posts: 6,036
Blog Entries: 6
86 AntonioLao is a splendid one to beholdAntonioLao is a splendid one to beholdAntonioLao is a splendid one to beholdAntonioLao is a splendid one to behold
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Quote  
05-07-2006, 03:38 PM
attempt for generality

Fora + b = 1 to hold, let a= sinqand b = cosqsuch that the trigonometric identity sinq + cosq = 1 is valid. Furthermore, extension to nth powers \alpha^n \beta^n = \alpha^n - \beta^n with polar form r^n = \sec^n \theta - \csc^n \theta and normalized duals \alpha^n + \beta^n = 1 with polar form \sec^n \theta - \csc^n \theta = 1.
__________________
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
Reply With Quote
AntonioLao is offlineReport Post
The Thinker

Guille's Avatar

Join Date: Mar 2005
Posts: 3,278
Blog Entries: 7
48 Guille is a jewel in the rough
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Quote  
05-07-2006, 06:34 PM
Quote:
Originally Posted by AntonioLao
If ab then they attrack each other.
What exactly means to 'attrack'? I had never read it before.

Quote:
Originally Posted by AntonioLao
Fora + b = 1 to hold, let a= sinqand b = cosqsuch that the trigonometric identity sinq + cosq = 1 is valid. Furthermore, extension to nth powers with polar form and normalized duals with polar form .
Could this also derive a sort of the nth power version of Euler's identity:

In yours, you take away, but what happens if you take the inverse of yours, then they would sum, the cosine and the sine? If so, would it also give e^ix?
Reply With Quote
Guille is offlineReport Post
Raider of the lost time

AntonioLao's Avatar

Join Date: Nov 2003
Posts: 6,036
Blog Entries: 6
86 AntonioLao is a splendid one to beholdAntonioLao is a splendid one to beholdAntonioLao is a splendid one to beholdAntonioLao is a splendid one to behold
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Quote  
05-08-2006, 01:57 PM
Re: do math or do not

Quote:
Originally Posted by GUILLE
What exactly means to 'attrack'? I had never read it before.
If they are secondary forces then they attract. All primary forces repel each other.
Quote:
Originally Posted by GUILLE
Could this also derive a sort of the nth power version of Euler's identity:
Euler's identiy is in the complex domain. I'm trying to avoid all uses of complex numbers by restricting only in the real domain.
__________________
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
Reply With Quote
AntonioLao is offlineReport Post
Reply

Currently Active Users Viewing This Thread: 1 (0 members and 1 guests)
 
Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are On
Pingbacks are On
Refbacks are On
Forum Jump

Similar Threads
Thread Thread Starter Forum Replies Last Post
Who is to deal with phillosophy of math? hanzoganz Philosophy of Math 4 05-08-2006 10:15 PM
will math or will not? AntonioLao Mathematics 11 05-05-2006 02:09 PM
single math misunderstanding AntonioLao Philosophy of Math 46 03-11-2006 11:54 AM
TOE math on the way? d p fitzpatrick Your TOE Theory 0 02-18-2005 02:54 PM



All times are GMT -4. The time now is 10:33 PM. Powered by vBulletin® Version 3.7.4
Copyright ©2000 - 2008, Jelsoft Enterprises Ltd.
Content Relevant URLs by vBSEO 3.2.0 VBulletin Skin by ForumMonkeys.