In 1907, Einstein found the dependence of the standard clock in a uniform gravitational field.
In 1962, Harry Lass found a uniform field metric from the condition that the speed of light be constant. But the speed of light in a gravitational field is not constant!
Lass did not find a complete solution to the problem. Perhaps Einstein’s decision is not accurate ...
Perhaps homeostasis is a biological response?
Perhaps perceptual structure is an operational system that works with the metric?
Perhaps we all know what it looks like its just that we don't attend to it - we look at what's being delivered not at how delivery m manifests?
Perhaps it's our approach methodology that declares it unattainable?
Perhaps we need a new form of illusionary space that denies this unattainability?
I cannot connect your words with the metric of Riemannian space. Sorry.
It all started a long time ago with this task.
Preprint J. Bell's Relativistic Paradox and Equivalence Principle
And a more complete version in Russian
Preprint Релятивистский парадокс Дж. Белла и принцип эквивалентности
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