Classical Geometric Unification of Gravitation and Electrodynamics via Internal String Centripetal Dynamics: The Simple Grand Unified Theory
- 1Deep Matrix Lab
Abstract
To reconcile the fundamental discrepancies between general relativity, quantum mechanics, and electrodynamics without relying on unobservable compactified dimensions or ad hoc Hamiltonian formulations, this paper proposes a deterministic geometric framework: Simple String Theory (SST). By applying Newton’s second law of motion (F = ma) directly to the subatomic Planck scale (lp) through the Einstein–Planck equivalence (m = hf/c^2), we establish that the intrinsic spin of closed strings generates an omnipresent inward centripetal acceleration (ac = v^2/lp). This inward acceleration naturally manifests as universal attractive gravitation, formalized by the quantum centripetal force equation: (F =(4π^2 *h*f^3*lp)/c^2) Dimensional analysis confirms strict unit consistency (N), and evaluating this formulation at the fundamental Planck frequency (fp = 1/tp = √︁(c^5/¯hG) ) smoothly converges to the theoretical maximum force of nature, the Planck force (Fp ∼ c/4/G). Furthermore, we demonstrate a unified topological mapping where Maxwell’s equations correspond directly to string kinematics: rotational vector fields (∇×) govern massive closed strings (matter/spin), while divergence fields (∇·) characterize massequivalent open strings propagating at c. Inertial mass is shown to arise dynamically via negative acceleration (retardation) under physical interaction, elucidating quantum wave-function collapse in the double-slit experiment without subjective observer dependence.
Extending this framework macroscopically, exact charge-parity (CP) conservation at the Big Bang yields an antipodal antimatter mirror universe. The resulting interuniversal gravitational repulsion resolves the cosmological baryon asymmetry puzzle and provides an inertial, force-driven mechanism for cosmic accelerated expansion without invoking dark energy. Finally, the extreme compression of closed strings in black hole interiors is bounded by the Planck frequency limit, presenting a non-singular cyclic transition model for cosmic generation.
Related
- Entanglement‑Strain Angle: Geometric Unification of Relativistic Kinematics, Gravitation, and Quantum Phase
- Gravitation and Electromagnetism; Correlation and Grand Unification
- Unification of Gauge Dynamics and Gravitation through an Emergent Topological Master-Field Theory
- Geometric Unification and Dimensional Consistency of the Shteim Field Equation: Resolving the Muon g− 2 Anomaly via Spacetime-Field Coupling
- UQGAF: a higher-categorical architecture for topological unification: From quantum geometric string networks to a worked winding-state dynamics
BibTeX
@misc{fukada2026classical,
title = {{Classical Geometric Unification of Gravitation and Electrodynamics via Internal String Centripetal Dynamics: The Simple Grand Unified Theory}},
author = {Hiroyuki FUKADA},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23664060},
url = {https://zenodo.org/records/23664060},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Classical Geometric Unification of Gravitation and Electrodynamics via Internal String Centripetal Dynamics: The Simple Grand Unified Theory
AU - Hiroyuki FUKADA
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23664060
UR - https://zenodo.org/records/23664060
AB - To reconcile the fundamental discrepancies between general relativity, quantum mechanics, and electrodynamics without relying on unobservable compactified dimensions or ad hoc Hamiltonian formulations, this paper proposes a deterministic geometric framework: Simple String Theory (SST). By applying Newton’s second law of motion (F = ma) directly to the subatomic Planck scale (lp) through the Einstein–Planck equivalence (m = hf/c^2), we establish that the intrinsic spin of closed strings generates an omnipresent inward centripetal acceleration (ac = v^2/lp). This inward acceleration naturally manifests as universal attractive gravitation, formalized by the quantum centripetal force equation: (F =(4π^2 *h*f^3*lp)/c^2) Dimensional analysis confirms strict unit consistency (N), and evaluating this formulation at the fundamental Planck frequency (fp = 1/tp = √︁(c^5/¯hG) ) smoothly converges to the theoretical maximum force of nature, the Planck force (Fp ∼ c/4/G). Furthermore, we demonstrate a unified topological mapping where Maxwell’s equations correspond directly to string kinematics: rotational vector fields (∇×) govern massive closed strings (matter/spin), while divergence fields (∇·) characterize massequivalent open strings propagating at c. Inertial mass is shown to arise dynamically via negative acceleration (retardation) under physical interaction, elucidating quantum wave-function collapse in the double-slit experiment without subjective observer dependence. Extending this framework macroscopically, exact charge-parity (CP) conservation at the Big Bang yields an antipodal antimatter mirror universe. The resulting interuniversal gravitational repulsion resolves the cosmological baryon asymmetry puzzle and provides an inertial, force-driven mechanism for cosmic accelerated expansion without invoking dark energy. Finally, the extreme compression of closed strings in black hole interiors is bounded by the Planck frequency limit, presenting a non-singular cyclic transition model for cosmic generation.
ER -