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Does R = 1 follow from the classical derivation of the effective theory?
Public summary of an internal test, not yet independently validated or published.
Question investigated
Does R = 1 follow from the classical derivation of the effective theory?
Test conditions
Eliminate the radial field in the adiabatic limit and substitute its solution into the action. Compare the resulting effective-theory coefficients and calculate the dimensionless relation R.
Result
In the classical derivation, one scale determines all three coefficients and yields R = 1. This calculation establishes the relation in the limit examined, but does not show that it survives quantum corrections.
Key figure
R
1
Classical derivation
Source: Tower public snapshot
Specific limitations
- The result is classical and retrospective. It does not establish quantum stability, the origin of the scale or the cosmological viability of the model.
- R = 1 is an algebraic result of the classical derivation, rather than an observational estimate with measured uncertainty. This calculation does not establish stability under quantum corrections.