timeless equations

[AntonioLao]

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.

[mkirkpatrick]

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.

[AntonioLao]

Are we talking about a motionless equation here?

If the control volume expands and contracts then it couldn't be motionless?

[mkirkpatrick]

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.