Unit Integrity/Integrals

[LaurieAG]

Consider the following Units of measurement (with respect to time) and their unit integrals:-

 

Acceleration Meters x Seconds^-2

Speed Meters x Seconds^-1

Distance Meters x Seconds^0

 

As these units are consistent with Newtonian mechanics and calculus can:-

 

(a) this same 'unitary integrity' be applied to other (non newtonian) aspects of physics

(:shrug: if they don't why not.

© if they do, do they all make sense in our physical world

(d) if they do, are there any missing units in the direct integral steps

 

Also, with regards to string theory, do the various 'dimensions' have a consistent unit integrity.

[Jay-qu]

I dont understand what you are trying to ask.. perhaps you could rephrase (a)

[LaurieAG]

I dont understand what you are trying to ask.. perhaps you could rephrase (a)

 

Hello Jay-qu,

 

One example of (a) is Einsteins E = MC^2 whose units can be represented as Energy/(Mass*metres)= Meters*Seconds^-2, which is consistent with the Newtonian unit of acceleration.

 

Rephrased: are all physics units homologous with calculus.

 

ho·mol·o·gous

–adjective 1. having the same or a similar relation; corresponding, as in relative position or structure.

2. corresponding in structure and in origin, but not necessarily in function: The wing of a bird and the foreleg of a horse are homologous.

[Erasmus00]

Rephrased: are all physics units homologous with calculus.

 

Your question basically seems to be "are physical units consistant?" The answer is, rather trivially, yes. If the units weren't consistant, the theory would be thrown out.

-Will

[Erasmus00]

Once you've finished on cooking, you might like to discuss physical units and their 'relative' consistency with the underlying structural calculus.

 

Forgive a minor spelling error (swapping a for e). My underlying message is clear: of course physical units are consistent with mathematics. If they weren't, we would be unable to apply math to physical systems!

-Will

[Qfwfq]

Laurie, how sure are you that you'd survive if people were nearly as picky on your own posts?