Measuring procedure for Fermi Normal coordinates

PAllen
Science Advisor
Messages
9,318
Reaction score
2,530
Locally, Fermi normal coordinates are designed to correspond with direct measurement of distances (born rigidity). I also discovered that Synge's book on GR establishes that very locally, radar distance must match Fermi normal distance, but not in general (obviously). What I am wondering is whether there is any conceivable procedure for measuring Fermi normal distance, say at solar system scale? I can't come up with anything other than: if you know the local metric in detail, and track your own acceleration, you can, in principle, convert from a radar ranging distance to a Fermi-normal distance. That is not very practical. Any operational way to do this?
 
Physics news on Phys.org
The only other thing that comes to mind is a large number of observers, all of whom are stationary with respect to you (you can use the radar notion of stationary), and using a "chain of observers" in a straight line to measure the distance. That's really more a conceptual appraoch than something you'd carry out in practice, though.

Knowing the local metric in detail is probably the most practical.
 
Thread 'Can this experiment break Lorentz symmetry?'
1. The Big Idea: According to Einstein’s relativity, all motion is relative. You can’t tell if you’re moving at a constant velocity without looking outside. But what if there is a universal “rest frame” (like the old idea of the “ether”)? This experiment tries to find out by looking for tiny, directional differences in how objects move inside a sealed box. 2. How It Works: The Two-Stage Process Imagine a perfectly isolated spacecraft (our lab) moving through space at some unknown speed V...
Does the speed of light change in a gravitational field depending on whether the direction of travel is parallel to the field, or perpendicular to the field? And is it the same in both directions at each orientation? This question could be answered experimentally to some degree of accuracy. Experiment design: Place two identical clocks A and B on the circumference of a wheel at opposite ends of the diameter of length L. The wheel is positioned upright, i.e., perpendicular to the ground...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. The Relativator was sold by (as printed) Atomic Laboratories, Inc. 3086 Claremont Ave, Berkeley 5, California , which seems to be a division of Cenco Instruments (Central Scientific Company)... Source: https://www.physicsforums.com/insights/relativator-circular-slide-rule-simulated-with-desmos/ by @robphy
Back
Top