Unification of Fermions and Bosons via Uncertainty Principle within the Causal Fermion System Framework

Description

Causal Fermion System
 uncertainty principle,
quantum gravity
emergent spacetime
fermion-boson unification

Abstract (English)

Based on the emergent spatial construction theory of spin-1/2 fermions and the existing Causal Fermion System formalism, this paper proposes that fermions and bosons originate from identical fundamental spinor constituents differentiated by the Heisenberg uncertainty relation. Restricting position uncertainty leads to dense packed fermions with spin-1/2 governed by SU(2) symmetry and Pauli exclusion principle, forming the uniform background measure ρ₀ which builds up the skeleton of three-dimensional spacetime and generates intrinsic rest mass via confined kinetic energy. In contrast, limiting momentum uncertainty results in delocalized collective fluctuations δρ corresponding to integer-spin bosons, which exist merely as in-space energetic perturbations unable to construct spatial geometry. This setup eliminates the artificial initial assignment of vacuum measure and the axiomatic separation between fermions and bosons in original CFS theory. All conclusions keep consistent with three falsifiable astronomical predictions from prior emergent-space research, and no revision is required for the original Hilbert space structure and minimal causal action rule of CFS.