I suspect just the opposite, you would have nulled gravity in the exact center of the earth, as the surrounding mass on all sides would cancel it out. As you get further from the center gravity (as we know it) would begin to assert itself, slowly.

However...if the distribution of mass was PERFECT in a hollow sphere then it would be possible for an Atom...of PERFECT mass distribution within it's nucleus to remain dead center of a hollow sphere.

Split Infinity

 

...but it's possible to make a tunnel through one!? This is theoretical, youcan't pick and choose what you want to theorize so as to prove a point without examining others.


It does not exist there, it exists everywhere,a force from each individual particle. The macroscopic model you are using no longer applies.


Now, assume the particle is displaced in a conservative system,what happens to the particle?

Granted..you are right about the theoretical nature of these questions.

My model still applies as in my question we are making a determination based upon the existance of ONE Gravity Well.

In your question there would be many Gravity Wells.

Please extrapolate more on your last question.

Split Infinity

 

One other thing...even though all the mass of a planet determines the Space/Time Warpeture or Gravitational Effect...the ability for other objects of mass or Quantum Particle/Wave Forms to be effected...is specific to the DISTANCE away from the planets center point of gravity and NOT it's surface.

Split Infinity

 

There would be many gravity wells for a sphere? By what nature? What differentiates the hollow sphere from a partially hollow sphere so that you can claim different models of gravity wells? Each particle would have a gravity well on the microscopic scale and the whole unit would have a single gravity well, assumed as a point of gravity, given proper distance from the object whose effect is to be determined.

So, in the hollow sphere, save a single particle , if the system is entirely isolated, and the only effect on the particle is the gravity from the surrounding sphere, and the particle is initially displaced to a location within the sphere, other than the center, what happens to the particle?

 

One other thing...even though all the mass of a planet determines the Space/Time Warpeture or Gravitational Effect...the ability for other objects of mass or Quantum Particle/Wave Forms to be effected...is specific to the DISTANCE away from the planets center point of gravity and NOT it's surface.

Split Infinity

That is only a model for distances >> the diameter of the object, much like a charged sphere is considered a point charge, given sufficient distance from it.

 

Sorry...my cat jumped up on my laptop and shut it off...LOL!

I am back.

Split Infinity

 

Sorry...my cat jumped up on my laptop and shut it off...LOL!

I am back.

Split Infinity

...such is the nature of cats!

 

There would be many gravity wells for a sphere? By what nature? What differentiates the hollow sphere from a partially hollow sphere so that you can claim different models of gravity wells? Each particle would have a gravity well on the microscopic scale and the whole unit would have a single gravity well, assumed as a point of gravity, given proper distance from the object whose effect is to be determined.

So, in the hollow sphere, save a single particle , if the system is entirely isolated, and the only effect on the particle is the gravity from the surrounding sphere, and the particle is initially displaced to a location within the sphere, other than the center, what happens to the particle?

The existance and location of the Center Point of a Gravity Well is specific to the center point of distributed mass.

Since a perfect hollow ball that has it's mass perfectly distributed Center Points of the existing Gravity Wells would be at all positions center of the thickness of the shell.

As to your second question...what kind of particle are we talking? A Proton or Neutron or a Quantum Particle/Wave Form as ALL are effected by Gravity.

Split Infinity

 

...such is the nature of cats!

The little bastard is proud of himself!

He wanted treats.

Split Infinity

 

That is only a model for distances >> the diameter of the object, much like a charged sphere is considered a point charge, given sufficient distance from it.

But as my example of Saturns Gravitational effect being just 91% of Earth's at Saturns surface...Gravitic Effect is specific to DISTANCE AWAY from the Center Point of the Gravity Well...not the planet.

Split Infinity

 

But as my example of Saturns Gravitational effect being just 91% of Earth's at Saturns surface...Gravitic Effect is specific to DISTANCE AWAY from the Center Point of the Gravity Well...not the planet.

Split Infinity

...it has to do with the distance at which the effect of the gravitational pull of an object is reasonably approximated to a single point. If you were to decompose the forces into constituent forces, you'll notice that the downward effect(toward the center) from particles along the surface is less witha sphere with a larger radius. It has to do with the distance from the planet as towhether the model is applicable.

 

As to your second question...what kind of particle are we talking? A Proton or Neutron or a Quantum Particle/Wave Form as ALL are effected by Gravity.

Split Infinity

...then does it matter?

 

...it has to do with the distance at which the effect of the gravitational pull of an object is reasonably approximated to a single point. If you were to decompose the forces into constituent forces, you'll notice that the downward effect(toward the center) from particles along the surface is less witha sphere with a larger radius. It has to do with the distance from the planet as towhether the model is applicable.

Yes...that is exactly what is happening as far as the Saturn example.

The thing is...if a spherical body is not hollow...there will be ONE ceter point of a Gravity Well. It will exist at the exact center of the distribution of mass.

Given this...all the mass of the body will be creating this Expression of Singularity.

Split Infinity

 

...then does it matter?

Good point. Does it?

I am not certain as if it was possible to teleport a Photon into the center of such a sphere...would a specific threshold have to exist as far as the Space/Time curvature...to allow such a particle to remain dead center?

Split Infinity

 

The thing is...if a spherical body is not hollow...there will be ONE ceter point of a Gravity Well. It will exist at the exact center of the distribution of mass.

No, again, this is a model. Using the gravity well model, the whole object warps space/time about it as though the effect is inherent to the object(on a macroscopic level) and therefore, modeled as a single point of gravity, provided the effectual distance is much greater than the diameter of the object. Again, this model does not hold when distances are comparable to the diameter of the sphere.

Gravity is created from an interaction with mater. As such, its effects are due to the presence and orientation of matter and are on a particle-by-particle basis, modeled on a macroscopic level due to the simplification of any math involving every constituent particle of an object.

 

Good point. Does it?

No.

I am not certain as if it was possible to teleport a Photon into the center of such a sphere...would a specific threshold have to exist as far as the Space/Time curvature...to allow such a particle to remain dead center?

Split Infinity

Since the effect of gravity is continuous and an effect on everything with matter, no, a threshold doesn't make sense, as there are no other acting forces.

 

I still reckon that the ball in the tunnel will experience no slowing-down effect at the centre of the Earth.

The gravitational forces will balance and the Ball's kinetic energy will take it through to the far end of the tunnel.

The Earth will be tending to try and pull the ball apart.
The ball will have a minuscule pull on the Earth around it, tending to try and close the tunnel.
All parts of the Earth will be attracting each other, tending to try and close the tunnel.

Don't see the need for understanding "gravity wells" or singularities. Simple logic does it for me.

 

I still reckon that the ball in the tunnel will experience no slowing-down effect at the centre of the Earth.

The gravitational forces will balance and the Ball's kinetic energy will take it through to the far end of the tunnel.

The Earth will be tending to try and pull the ball apart.
The ball will have a minuscule pull on the Earth around it, tending to try and close the tunnel.
All parts of the Earth will be attracting each other, tending to try and close the tunnel.

Don't see the need for understanding "gravity wells" or singularities. Simple logic does it for me.

The point I'm trying to make, but the OP refuses to acknowledge the limitations of the model with which he is trying to explain the microscopic(WRT the defined system) interactions with.

 

No, again, this is a model. Using the gravity well model, the whole object warps space/time about it as though the effect is inherent to the object(on a macroscopic level) and therefore, modeled as a single point of gravity, provided the effectual distance is much greater than the diameter of the object. Again, this model does not hold when distances are comparable to the diameter of the sphere.

Gravity is created from an interaction with mater. As such, its effects are due to the presence and orientation of matter and are on a particle-by-particle basis, modeled on a macroscopic level due to the simplification of any math involving every constituent particle of an object.

What exactly are you saying is interacting with matter to create gravity?

Split Infinity

 

The point I'm trying to make, but the OP refuses to acknowledge the limitations of the model with which he is trying to explain the microscopic(WRT the defined system) interactions with.

The attraction of particles of mass is occuring because the Space/Time between them is being altered or warped. The greater the colective mass the greater the warpeture.

In a Hollow Sphere...and let's say it was made of a material that it's generated Gravity would collapse...the attraction or Space/Time warpeture would be created by the surrounding sphere itself...thus all particles making up the sphere directly adjacent from each other would be attracted to each other and cause such a sphere to collapse inward.

There does not exist a Gravity Well directly center of this to do so.

Split Infinity