Failure of Classical Physics (E = mc2): The Myth of Intrinsic Mass and Resolution via Mass Generated by Direction Component η

Abstract
For over 100 years, classical physics has assumed mass is an Intrinsic Mass, a constant
property that comes from within matter itself. We demonstrate that this assumption fails
but, whereas mass actually depends on its external physical behavior. To describe this
behavior, we present Regime Science, in which all structures are governed by a single
Affine Extended Field:
AEF =
n∑︂
i=1
(η + ∆i) (1)
where η is the tendency term and ∆ is the deviation term. This framework reveals that
mass is not an intrinsic constant but a regime-dependent variable determined by alignment
with η.