2016/10/31 by Zen-chen Leon, Leon, Zen-chen
Physics and Astronomy · #06F99 #52C35 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Noncommutative and Quantum Gravity Theories #msc:06F99 #msc:52C35 #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1610.09913
17 pages, 0 figures
openalex publication_date 2016/10/31 · openalex created_date 2016/11/04 · arxiv created 2017/01/02 · arxiv updated 2017/01/09 · openalex updated_date 2026/07/28
Starting by revisiting Special Relativity, here we provide a reliable characterization of the entire 4-dimensional fundamental structures in our reality where the frame of discrete tangent space of F1,3 is quantized to massless, zero-momentum particles distributing on a 4-dimensional regular base \ℕ⋅ cα\ with metric B(cα,cβ)=δαβ=diag(+,+,+,+), determining the constant c locally, as well as instant characterizations on all particles moving along the proper time of τ∈ℕ. Together with ϕIV on 1-dimensional space \ℕ⋅ c4\ of B(cα,c4)=0, the quantized particles of tangent frame are split anti-symmetrically from roots γα4 in a rank-4 Lie algebra with exactly cα the generators of its Cartan subalgebra. As with the combined frame-Higgs valued in γα4, every massive particle is related to some split frame and Higgs to obtain its unique quantized relative 3-velocity, 4-velocity, and rest mass under the restriction of Pauli Exclusion Principle at each τ. We calculated the domains Si⊂ F and S0⊂ F_≥ in F_≥⊕ F3 the spacetime in which a massive particle \mathttp evolves with \xα\ of xα∈ Sα the coordinate its Center-of-Mass under an eligible observation that \vert F\vert=\vert F_≥\vert=ℵ0<\vertℝ\vert, available for post-Newtonian approaches.