Pure Geometric Horizon Mechanics of Black Holes
Year: 2026
Type: article
Abstract: ABSTRACTIn standard theoretical astrophysics, black hole thermodynamics, Hawking radiation, and event horizon optics are formulated using complex expressions dependent on mass (M), gravitational constant (G), and reduced Planck constant (h_bar). This paper demonstrates that all physical properties of black holes can be derived strictly from linear geometry within a tensioned elastic space lattice defined by wave velocity (c = 299,792,458 m/s), minimum pixel length (l_P = 1.616255 * 10^-35 m), clock tick (t_P = 5.391253 * 10^-44 s), and lattice tension force (F_lattice = 1.210256 * 10^44 N). By modeling a black hole through its outer spatial indentation radius (Schwarzschild radius, Rs) and its conjugate inner quantum vortex radius (Rv), mass and G cancel out completely. We show that Hawking temperature scales inversely with Rs (T * Rs = 1.82223 * 10^-4 Km), radiative luminosity scales inversely with Rs^2 (L * Rs^2 = 1.9645 * 10^-22 Wm^2) and directly with the square of the inner quantum vortex radius (Rv^2), complete evaporation lifetime scales with the cube of the Planck pixel count spanning the horizon radius (t_evap = 640 * Pi * t_P * (Rs / l_P)^3), and the observable photon capture shadow radius equals 2.5981 * Rs. Step-by-step arithmetic verifications are presented for three observed black holes across nine orders of magnitude in mass: stellar-mass Cygnus X-1 (21.2 solar masses), Milky Way galactic center Sagittarius A* (4.3 million solar masses), and supermassive M87* (6.5 billion solar masses), showing exact consistency with Event Horizon Telescope (EHT) shadow measurements and all eight universal space-lattice invariants.
Author: Yerzhan, Orymbetov
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225449340