Welcome to the ToeQuest.
Results 1 to 5 of 5

Thread: Most action

  1. #1
    Raider of the lost time
    Join Date
    Nov 2003
    Location
    United States
    Posts
    11,778
    Blog Entries
    10
    Thanks Given
    1,106
    Thanked 1,472x in 1,192 Posts
    Rep Power
    158

    Most action

    The central tenet of the calculus of variations is the Principle of Least Action. This leading principle of mathematical physics was founded in the 18th century chiefly by Euler and Lagrange. With this principle Lagrange successfully formulated many laws of dynamics and thus heralded the theory of analytic mechanics.

    In the 20th century analytic mechanics advanced into quantum mechanics retaining its minimum principle. This was applied by Feynman in his path integral of exponential Lagrangian. To date none of these modern formulations deviate from a principle of least action. The most important question is why cannot a maximum principle of dynamics exist? If it exists then there is a principle of most action.
    Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²

  2. #2
    Moderator
    Join Date
    Aug 2005
    Location
    United Kingdom
    Posts
    11,621
    Blog Entries
    5
    Thanks Given
    295
    Thanked 896x in 724 Posts
    Rep Power
    154

    Smile Re: Most action

    Quote Originally Posted by AntonioLao View Post
    The central tenet of the calculus of variations is the Principle of Least Action. This leading principle of mathematical physics was founded in the 18th century chiefly by Euler and Lagrange. With this principle Lagrange successfully formulated many laws of dynamics and thus heralded the theory of analytic mechanics.

    In the 20th century analytic mechanics advanced into quantum mechanics retaining its minimum principle. This was applied by Feynman in his path integral of exponential Lagrangian. To date none of these modern formulations deviate from a principle of least action. The most important question is why cannot a maximum principle of dynamics exist? If it exists then there is a principle of most action.

    What about the principle of WILL?All action stems from this!



    regards michael.
    Humilty,coupled with boldness,surprises truth to
    reveal herself?

  3. #3
    Raider of the lost time
    Join Date
    Nov 2003
    Location
    United States
    Posts
    11,778
    Blog Entries
    10
    Thanks Given
    1,106
    Thanked 1,472x in 1,192 Posts
    Rep Power
    158

    Re: Most action

    Quote Originally Posted by mkirkpatrick
    What about the principle of WILL
    In physics, action is loosely defined as the product of energy and time or position and linear momentum. The quantum of action is simply the uncertainty principle as Planck's constant for quantized angular momenta of the original Bohr theory.
    Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²

  4. #4
    Moderator
    Join Date
    Aug 2005
    Location
    United Kingdom
    Posts
    11,621
    Blog Entries
    5
    Thanks Given
    295
    Thanked 896x in 724 Posts
    Rep Power
    154

    Smile Re: Most action

    Quote Originally Posted by AntonioLao View Post
    In physics, action is loosely defined as the product of energy and time or position and linear momentum. The quantum of action is simply the uncertainty principle as Planck's constant for quantized angular momenta of the original Bohr theory.

    The question is then what motivates action and energy?


    regards michael.
    Humilty,coupled with boldness,surprises truth to
    reveal herself?

  5. #5
    Raider of the lost time
    Join Date
    Nov 2003
    Location
    United States
    Posts
    11,778
    Blog Entries
    10
    Thanks Given
    1,106
    Thanked 1,472x in 1,192 Posts
    Rep Power
    158

    Re: Most action

    Quote Originally Posted by mkirkpatrick
    what motivates action and energy
    Motivated by a force at a distance.
    Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²

 

 

Thread Information

Users Browsing this Thread

There are currently 1 users browsing this thread. (0 members and 1 guests)

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  
Back to top