It appears you have not yet registered with our community. To register please click here...

Theory of Everything  

  
Go Back   Theory of Everything > Tools > Mathematics
Reload this Page timeless equations
Register Website Toe Club Your Blog Arcade

Welcome to the Theory of Everything forums.

You are currently viewing our boards as a guest which gives you limited access to view most discussions and access our other features. By joining our free community you will have access to post topics, communicate privately with other members (PM), respond to polls, upload content and access many other special features. Registration is fast, simple and absolutely free so please, join our community today!

If you have any problems with the registration process or your account login, please contact contact us.

Reply
 
LinkBack Thread Tools Display Modes
timeless equations
Old
  (#1 (permalink))
Raider of the lost time
AntonioLao is just really niceAntonioLao is just really niceAntonioLao is just really niceAntonioLao is just really niceAntonioLao is just really niceAntonioLao is just really niceAntonioLao is just really nice
 
AntonioLao's Avatar
 
Status: Offline
Posts: 5,139
Thanks Given: 654
Thanked 103x in 102 Posts
Join Date: Nov 2003
Rep Power: 72
   
timeless equations - 08-28-2007, 03:37 PM

These are physical equations containing no time variables. Equations that satisfy this condition are commonly known as equations of state as usually found in thermodynamics. For example, the ideal gas law: pV=nRT. It relates the pressure (p), volume (V), and absolute temperature (T), where n is the number of moles of the substance and R is the universal gas constant. This does not take into account the intermolecular forces or the volume of the molecules themselves. However, the van der Waal’s equation of state for real gases: (p+a/V²)(V-b)=RT contains two correction terms: b for the size of the molecules and a/V² for the attractive forces between them. These forces are weaker than valence bond forces and are inversely proportional to the seventh power of the distance between atoms or molecules.

Other examples of timeless equations are Boyle’s and Charles’ laws. The latter is sometimes known as Gay-Lussac’s law. All these relate p, V, and T, the first at constant T, the second at constant p. A timeless equation of the whole universe still does not exist even though Einstein’s field equations relate energy (mass) density of matter to the curvature of space-time. Since energy per unit volume is equivalent to pressure or force per unit area, space-time curvature is really normal force per unit area.

In1934, Richard C. TinyTree devoted two chapters (9 and 10) of his book “Relativity Thermodynamics and Cosmology” searching for a universal timeless equation but now believed to exist if and only if the entire universe is motionless with respect to an external frame of reference commonly known as the singularity.


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Reply With Quote
Re: timeless equations
Old
  (#2 (permalink))
Moderator
mkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to behold
 
mkirkpatrick's Avatar
 
Status: Offline
Posts: 7,201
Thanks Given: 335
Thanked 617x in 591 Posts
Join Date: Aug 2005
Rep Power: 90
   
Smile Re: timeless equations - 08-28-2007, 03:52 PM

Quote:
Originally Posted by AntonioLao View Post
These are physical equations containing no time variables. Equations that satisfy this condition are commonly known as equations of state as usually found in thermodynamics. For example, the ideal gas law: pV=nRT. It relates the pressure (p), volume (V), and absolute temperature (T), where n is the number of moles of the substance and R is the universal gas constant. This does not take into account the intermolecular forces or the volume of the molecules themselves. However, the van der Waal’s equation of state for real gases: (p+a/V²)(V-b)=RT contains two correction terms: b for the size of the molecules and a/V² for the attractive forces between them. These forces are weaker than valence bond forces and are inversely proportional to the seventh power of the distance between atoms or molecules.

Other examples of timeless equations are Boyle’s and Charles’ laws. The latter is sometimes known as Gay-Lussac’s law. All these relate p, V, and T, the first at constant T, the second at constant p. A timeless equation of the whole universe still does not exist even though Einstein’s field equations relate energy (mass) density of matter to the curvature of space-time. Since energy per unit volume is equivalent to pressure or force per unit area, space-time curvature is really normal force per unit area.

In1934, Richard C. TinyTree devoted two chapters (9 and 10) of his book “Relativity Thermodynamics and Cosmology” searching for a universal timeless equation but now believed to exist if and only if the entire universe is motionless with respect to an external frame of reference commonly known as the singularity.
Are we talking about a motionless equation here? Is that very likely!


regards michael.


Humilty,coupled with boldness,surprises truth to
reveal herself?
  
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Reply With Quote
Re: timeless equations
Old
  (#3 (permalink))
Raider of the lost time
AntonioLao is just really niceAntonioLao is just really niceAntonioLao is just really niceAntonioLao is just really niceAntonioLao is just really niceAntonioLao is just really niceAntonioLao is just really nice
 
AntonioLao's Avatar
 
Status: Offline
Posts: 5,139
Thanks Given: 654
Thanked 103x in 102 Posts
Join Date: Nov 2003
Rep Power: 72
   
Re: timeless equations - 08-29-2007, 04:07 PM

Quote:
Originally Posted by mkirkpatrick
Are we talking about a motionless equation here?
If the control volume expands and contracts then it couldn't be motionless?


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Reply With Quote
Re: timeless equations
Old
  (#4 (permalink))
Moderator
mkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to beholdmkirkpatrick is a splendid one to behold
 
mkirkpatrick's Avatar
 
Status: Offline
Posts: 7,201
Thanks Given: 335
Thanked 617x in 591 Posts
Join Date: Aug 2005
Rep Power: 90
   
Smile Re: timeless equations - 08-29-2007, 06:22 PM

Quote:
Originally Posted by AntonioLao View Post
If the control volume expands and contracts then it couldn't be motionless?
Correct,however if this were to occur around the influence of the singularity,known physical laws are somewhat suspended,hence the equation could be realized.!



regards michael.


Humilty,coupled with boldness,surprises truth to
reveal herself?
  
Digg this Post!Add Post to del.icio.usBookmark Post in TechnoratiFurl this Post!Spurl this Post!Reddit!
Reply With Quote
The Following User Says Thank You to mkirkpatrick For This Useful Post:
AntonioLao (09-04-2007)
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

vB 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



Powered by vBulletin® Version 3.6.8
Copyright ©2000 - 2008, Jelsoft Enterprises Ltd.
Content Relevant URLs by vBSEO 3.2.0
vBulletin Skin developed by: vBStyles.com