Frame's Relativity and Nature (FR&N V1.0~1.4 / V2.0~V2.2)

Frame Relativity and Nature (FR&N) A Wave-Based Information Transition Theory of Physical Reality Frame Relativity and Nature (FR&N) proposes an axiomatic framework describing physical reality as a frame-dependent expression of an underlying Natural State (U). The fundamental structure is: B={F,U,Ω}B=\{F,U,Ω\}B={F,U,Ω} where: F represents the Frame of observation and interpretation. U represents the intrinsic Natural State before measurement. Ω represents expressed reality. The core relation is: Ω=Φ(F)Ω=Φ(F)Ω=Φ(F) meaning that observed reality is expressed through a selected frame. From the frame-independent condition: F→0F→0F→0 the Natural State is defined as: N=UN=UN=U The evolution of the Natural State is proposed through the Natural System Equation: ∂2U∂t2−c2∇2U=0∂^2U/∂ t^2-c^2∇^2U=0∂t2∂2U−c2∇2U=0 which produces the wave relation: ω=ck,f=cλω=ck, f=c/λω=ck,f=λc FR&N extends this framework by introducing a boundary-selection potential: V(T,ρ,P,δU)V(T,ρ,P,δ U)V(T,ρ,P,δU) and the generalized natural equation: ∂2U∂t2−c2∇2U+V(T,ρ,P,δU)U=0∂^2U/∂ t^2-c^2∇^2U+V(T,ρ,P,δ U)U=0∂t2∂2U−c2∇2U+V(T,ρ,P,δU)U=0 The theory interprets physical phenomena as transitions: Frame→Boundary→Perturbation→Wave Expression→RealityFrame → Boundary → Perturbation → Wave\ Expression → RealityFrame→Boundary→Perturbation→Wave Expression→Reality FR&N further proposes a dimensionless energy-scale interpretation of the fine structure constant: α≈hfmec2α/m_ec^2α≈mec2hf suggesting that: α−1≈137.035999α⁻¹≈137.035999α−1≈137.035999 may represent a stable boundary ratio between wave-expression energy and electron rest-energy scale. FR&N is presented as a conceptual axiomatic framework for investigating whether physical constants, stable states, and observable phenomena can emerge from underlying natural boundary relationships.