Jarek Duda

2008-12-10 22:08:46 UTC

When light goes through different materials, it chooses path to

locally minimalize distance - it's trajectory is geodesic of some

metric (usually diagonal - isotropic) . It is the result of that

microscopic structure of the material can reduce wave propagation

speed.

Microscopic models of physics usually assume that we have some field

everywhere and it's fluctuations transfer interactions/energy/

momentum.

So maybe these microscopic structure can reduce waves propagation

speeds?

Reciprocals of these velocities creates (anisotropic) metric tensor

(g) and so for example particles travel through geodesics like in

general relativity theory.

Standard interpretation of general relativity says that particles goes

through geodesics because of space time internal curvature: theory,

experiments suggest some equations, which looks like being a result of

internal curvature of spacetime.

But if we live on some curved manifold, it intuitively should be

embedded somewhere(?) (and for example black holes are some spikes)

So why our energy/matter is imprisoned on something infinitely flat?

Why we doesn't interact with the rest of this something?

What happen if our manifold will intersect with itself? (optimists say

that it would allow for time travel/hyperspace jumps?...)

And less philosophical, but most fundamental (to connect GR and QM)

question is: how energy/momentum density can create curvature?

Maybe it's not the only possible interpretation.

Maybe we live in flat R^4 and GR is only the result of reducing the

speed of wave propagation by microscopic structure of some field,

which somehow is ruled by similar equations to Einstein-Hilbert.

This interpretation doesn't allow for instant time/space travel, but

it get rid of some inconvenient questions ... and creates a chance to

answer to the last one.

So how should look such connection of QM(QFT?) and GR?

What are particles? From spacetime point of view, they are some

localized in some three dimensions and relatively long in the last

one, solutions of let say some field to some equations. These

solutions want to be more or less straight in four dimensions

(constant velocities), but they turn accordingly to interactions

transferred by the field.

Many of them were created in big bang (boundary conditions), so their

long dimension is similarly directed - creating local time arrow (GR).

Bolzman distribution among such trajectories, can purely classically

create QM like statistical behavior ( http://www.scienceforums.net/forum/showthread.php?t=36034

).

Are there any arguments for spacetime internal curvature other than

that the equations looks like being be a result of it?

What do you think about these interpretations?

If the curvature is the only option, is spacetime embedded

somewhere... ?

locally minimalize distance - it's trajectory is geodesic of some

metric (usually diagonal - isotropic) . It is the result of that

microscopic structure of the material can reduce wave propagation

speed.

Microscopic models of physics usually assume that we have some field

everywhere and it's fluctuations transfer interactions/energy/

momentum.

So maybe these microscopic structure can reduce waves propagation

speeds?

Reciprocals of these velocities creates (anisotropic) metric tensor

(g) and so for example particles travel through geodesics like in

general relativity theory.

Standard interpretation of general relativity says that particles goes

through geodesics because of space time internal curvature: theory,

experiments suggest some equations, which looks like being a result of

internal curvature of spacetime.

But if we live on some curved manifold, it intuitively should be

embedded somewhere(?) (and for example black holes are some spikes)

So why our energy/matter is imprisoned on something infinitely flat?

Why we doesn't interact with the rest of this something?

What happen if our manifold will intersect with itself? (optimists say

that it would allow for time travel/hyperspace jumps?...)

And less philosophical, but most fundamental (to connect GR and QM)

question is: how energy/momentum density can create curvature?

Maybe it's not the only possible interpretation.

Maybe we live in flat R^4 and GR is only the result of reducing the

speed of wave propagation by microscopic structure of some field,

which somehow is ruled by similar equations to Einstein-Hilbert.

This interpretation doesn't allow for instant time/space travel, but

it get rid of some inconvenient questions ... and creates a chance to

answer to the last one.

So how should look such connection of QM(QFT?) and GR?

What are particles? From spacetime point of view, they are some

localized in some three dimensions and relatively long in the last

one, solutions of let say some field to some equations. These

solutions want to be more or less straight in four dimensions

(constant velocities), but they turn accordingly to interactions

transferred by the field.

Many of them were created in big bang (boundary conditions), so their

long dimension is similarly directed - creating local time arrow (GR).

Bolzman distribution among such trajectories, can purely classically

create QM like statistical behavior ( http://www.scienceforums.net/forum/showthread.php?t=36034

).

Are there any arguments for spacetime internal curvature other than

that the equations looks like being be a result of it?

What do you think about these interpretations?

If the curvature is the only option, is spacetime embedded

somewhere... ?