# Re: johnreed take 14 - 2005

*From*: "Bill Hobba" <bhobba@xxxxxxxxxxxxxx>*Date*: Mon, 23 May 2005 22:33:19 GMT

<randamajor@xxxxxxxxx> wrote in message

news:1116882081.569676.183890@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

> What do we mean when we say spacetime is curved?

Simple - in flat space-time we can find a coordinate system such that ds^2 =

ct^2 - x^2 - y^2 - z^2 at each point. If not then not then it is curved.

> How do we conceptually

> grasp a curvature of spacetime? What do we mean when we say space is

> curved? How do we grasp a curvature of space?

By studying Riemanian geometry.

>

> Actually we don't.

>

So all the mathematicians since Riemann are fooling themselves?

Bill

> Instead we say, in such a space the motion of an

> object could be described in terms of the geometry of the space, rather

> than in terms of external forces.

>

> "The motion of an object" and "described in terms of the geometry of

> space". The motion of an object is one thing. The trajectory of an

> object is another. In any event, we are calling the space curved to

> describe the trajectory of the object and its motion. Kinda' like

> looking at a color photograph negative and trying to discern the

> picture.

>

> We are realy dealing with the trajectories of objects after all, and

> those trajectories are least action trajectories, so we have a least

> action, curved space, and spacetime.

>

> Newton's use of the least action property of stable systems was a

> little more crude. Einstein's use is attenuated to the max. I will

> continue with this theme later but for now,

>

> I say gravity does not exist. Mass operates within least action

> parameters. Mass does not follow the path of a least action space.

>

> johnreed

>

.

**Follow-Ups**:**Re: johnreed take 14 - 2005***From:*randamajor

**Re: johnreed take 14 - 2005***From:*Baugh

**References**:**johnreed take 14 - 2005***From:*randamajor

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