How Higgs Boson Acquires Mass: Graviton Entrapment and Throttling Power Transmission

We propose that the characteristic frequency of the Higgs field [f Higgs equal to (1.905041922 x10 ^26 Hz), is fundamentally regulated by the absolute gravitational power transmission limit the Planck power(P max) = c^5/G = 3.629184726 x 10^52). Maximum power (P max.) is square of the Higgs frequency. We establish that at electroweak symmetry breaking, a local curvature k (k = 1.0545727 x10^-34). This is a rigid spatial ratio between the fundamental Planck area (l Pl^2) and the localized area of the Higgs boson (R c, Higgs^2), yielding the identity k = (A Pl/ A Higgs) = [f Higgs/ f Pl]^2. This constraint removes all arbitrary free parameters from the electroweak sector. Now we introduce a concept of graviton entrapment. We show that at electroweak symmetry breaking Planck-Einstein linear equation (E= h x f) transits to a Planck energy modulated function, [E = E Pl x sq. rt. k]. This is natural as particles acquire mass at this transition, h transits to h bar, the free path curves around itself, entrapping N number of soft gravitons (N=1/k) within a volume of R c. That throttles linear motion due to resistance of vacuum which is proportional to the surface area of entrapment. This resistance we interpret as inertial mass. At extreme ultraviolet limits this equation gives Planck energy, which is finite and non-zero, making the theory renormalize. Further we prove that gravitational self-energy of Higgs [ E self = (G x M^2)/R c] equals individual graviton energy [E grav..= E x k ]; and energy density of Higgs and that of individual gravitons are equal, which implies that inertial mass is equal to gravitational mass proving the Equivalence Principle. This modulated equation naturally predicts a theoretical Higgs mass equal to [ [E Higgs = E Pl x sq. rt. k], = ( 2.009005203 x 10^-8 joule ), (125.392242 GeV), matching empirical data from the Large Hadron Collider (LHC) with exceptional precision. This paper bridges a century of physics by integrating several core concepts, into a self-consistent theory, supported by CERN findings. Through this synthesis the framework offers a unified resolution to the hierarchy problem and establishes a deep equivalence of inertial and gravitational mass without introducing new parameter space.