Axiomatic
Derivation Of z

Dear Daniel, Jackie and Audrey,

The next step must be to derive θ itself from our axioms.

Perhaps the “required angle θ” for a spectral line to be resolved is itself a function of the local field properties (like the density or tension of F). This would mean θ isn’t a fundamental property of the atom, but an emergent one based on its environment.

This would lead to an equation that looks more like:
z = function(properties of the field at the source, properties of the field at the observer)

This would solve all three issues:
θ would have a single, consistent definition; k might be derivable from the constants of that function; and the theory could become testable by predicting how z should change based on observable field conditions.

This is the firewall our derivation must now pass. It is the most difficult challenge yet, but it is the one that leads directly to a predictive, testable and revolutionary new law.

To be continued:
Derivation and field-based expression of θ and its predictive relation to redshift z.

Sincerely,

Michael Lilborn-Williams