FRMCFD FRAMEWORK: TRIPLE ASYMPTOTIC UNIFICATION
FRMCFD FRAMEWORK: TRIPLE ASYMPTOTIC UNIFICATION (Revision 2.0 – Evidence Hierarchy Compliant) 1. CORRECTED EQUATIONS 1.1 Special Relativity (Kinematic Axis) The energy required to accelerate mass m m to velocity v v in flat spacetime is: E accel ( v ) = γ m c 2 , γ = 1 1 − v 2 / c 2 E accel (v)=γmc 2 ,γ= 1−v 2 /c 2 1 As v → c v→c, γ → ∞ γ→∞, yielding: lim v → c E accel ( v ) = ∞ v→c lim E accel (v)=∞ This divergence is kinematic and independent of material properties. 1.2 Compression Work (Corrected Integral) The work required to compress a system from initial volume V 0 V 0 to final volume V f V f is: E compress = − ∫ V 0 V f P ( V ) d V E compress =−∫ V 0 V f P(V)dV For compression to infinite density, V f → 0 V f →0, so: E compress = ∫ 0 V 0 P ( V ) d V E compress =∫ 0 V 0 P(V)dV Let density ρ = m / V ρ=m/V, and assume a polytropic equation of state: P ( V ) = k V − α , α > 0 P(V)=kV −α...
