total field

[AntonioLao]

In a later year’s summation, Einstein said: “The general theory of relativity is as yet incomplete insofar as it has been able to apply the general principle of relativity satisfactorily only to gravitational fields, but not to the total field. We do not yet know with certainty, by what mathematical mechanism the total field in space is to be described and what the general invariant laws are to which this total field is subject. One thing, however, seems certain: namely, that the general principle of relativity will prove a necessary and effective tool for the solution of the problem of the total field.”

Clearly, in the 2nd sentence, Einstein still believed that this total field is embedded in a background of space not spacetime. This means his zero elements of the symmetric metric tensor properly represent its field values at every point of the quantum vacuum (region devoid of matter and electromagnetic energy). His revised nonsymmetric field allows nonzero values on both sides of the diagonal of the nonsymmetric metric tensor. However, only if all elements are nonzero does the background vanishes. Therefore, a symmetric no background tensor is a Hadamard matrix. Its elements are nonzero and can represent a no background spacetime of squares of quantized energy.

[RascalPuff]

In a later year’s summation, Einstein said: “The general theory of relativity is as yet incomplete insofar as it has been able to apply the general principle of relativity satisfactorily only to gravitational fields, but not to the total field. We do not yet know with certainty, by what mathematical mechanism the total field in space is to be described and what the general invariant laws are to which this total field is subject. One thing, however, seems certain: namely, that the general principle of relativity will prove a necessary and effective tool for the solution of the problem of the total field.”

Clearly, in the 2nd sentence, Einstein still believed that this total field is embedded in a background of space not spacetime. This means his zero elements of the symmetric metric tensor properly represent its field values at every point of the quantum vacuum (region devoid of matter and electromagnetic energy). His revised nonsymmetric field allows nonzero values on both sides of the diagonal of the nonsymmetric metric tensor. However, only if all elements are nonzero does the background vanishes. Therefore, a symmetric no background tensor is a Hadamard matrix. Its elements are nonzero and can represent a no background spacetime of squares of quantized energy.

_________________________

Dear Antonio:
You've probably been aware of the following information for a long time.
Is it relevant to your post?

'New Age' etceteras,
versus the 'out dated' 'ugly headed' Cosmological Constant, Lambda /\
(A repelling force, unlike any known other, in that it becomes greater with increased distance. Re: acceleration.)

“It is well known to students of high school algebra that it is permissable to divide both sides of an equation by any quantity, provided that this quantity is not zero. However, in the course of his proof Einstein had divided both sides of one of his intermediate equations by a complicated expression, which in certain circumstances, could become zero (‘at the slightest provocation’)...
“In the case, however, when this expression becomes equal to zero, Einstein’s proof does not hold, and (mathematician) Friedmann realized that this opened a whole new world of time-dependent universes; expanding, collapsing, and pulsating ones.

“Thus Einstein’s original gravity equation was correct, and changing it was a mistake. Much later, when I was discussing cosmological problems with Einstein, he remarked that the introduction of the cosmological term was the biggest blunder he ever made in his life. But the ‘blunder’, rejected by Einstein, and the cosmological constant denoted by the Greek letter /\, rears its ugly head again and again and again.” - George Gamow, GRAVITY, p. 270

[AntonioLao]

Cosmological Constant

This constant refuses to go away but neither can it explain completely the existence of dark matter and dark energy.