Could a relativistic time clock (R.T.C) yield a bit more accurate local time?

[tylers100]

I was looking at a time clock, then I have had a thought about what if were to add a box or container with some water and floating object underneath it. The line connection between the floating object and the time clock. If gravitational influence affect the floating object at some levels, the floating object would tug or pull the tick pointer to move either speed up or slow down depending, yielding a possible and more accurate local time?

The reasoning I follow is if more accurate local time, then less the need to adjust local time multiple of times or something like that. Or is my reasoning wrong or need a bit more learning about GR or SR or both?

I have attached an image diagram illustrating what I am talking about.

[swansont]

10 hours ago, tylers100 said:

I was looking at a time clock,

As opposed to some other kind of clock?

10 hours ago, tylers100 said:

then I have had a thought about what if were to add a box or container with some water and floating object underneath it. The line connection between the floating object and the time clock. If gravitational influence affect the floating object at some levels, the floating object would tug or pull the tick pointer to move either speed up or slow down depending, yielding a possible and more accurate local time?

The reasoning I follow is if more accurate local time, then less the need to adjust local time multiple of times or something like that. Or is my reasoning wrong or need a bit more learning about GR or SR or both?

I have attached an image diagram illustrating what I am talking about.

What’s the expected precision of this clock? 

Why does adding gravitational influence make it more precise, when there are gravitational effects other than (and much biggerthan) relativity?

[tylers100]

3 hours ago, swansont said:

As opposed to some other kind of clock?

What’s the expected precision of this clock? 

Why does adding gravitational influence make it more precise, when there are gravitational effects other than (and much biggerthan) relativity?

I was looking at my own ordinary time clock. I had a notion about relativity while still (and still am) learning about it then came up with this thread, to see if a R.T.C. make sense or is possible or not.

Well, possibly about precise as averaged out.

With my assumption that most ordinary local time clocks (and others?) are mechanically constant, lacking a natural connectivity with dominant gravity of local ranging to global.

[swansont]

9 hours ago, tylers100 said:

I was looking at my own ordinary time clock. I had a notion about relativity while still (and still am) learning about it then came up with this thread, to see if a R.T.C. make sense or is possible or not.

Well, possibly about precise as averaged out.

With my assumption that most ordinary local time clocks (and others?) are mechanically constant, lacking a natural connectivity with dominant gravity of local ranging to global.

All clocks have errors. Mechanical clocks aren’t that great. You might think not gaining or losing a second per day is good, but that’s a fractional frequency stability of about 10^-5. A decent quartz watch is slightly better. If you temperature-stabilize it you’ll do better.

Atomic clocks range from around 10^-11 to 10^-16. Cutting-edge frequency standards these days are around 10^-18

Gravitational time dilation near the earth is about 10^-16 per meter of height change. You need atomic clocks to notice.