Electromagnetic waves and gravitational waves are treated as two completely independent phenomena in conventional physics, described respectively by vector fields (photons) in quantum field theory and tensor fields (hypothetical gravitons) in general relativity. Within the axiomatic framework of Time Field Theory (TFT), this paper proposes a conjectural unification: electromagnetic and gravitational waves are two distinct excitation modes of a single underlying entity—the time field. Gravitational waves correspond to amplitude excitations (scalar breathing) of, while electromagnetic waves correspond to phase excitations (vector oscillation). Axiom 1 enforces the geometric structure of the existence phase angle, and Axiom 2 constrains the distribution of the amplitude, establishing the orthogonality between amplitude and phase and permitting independent excitation of the two modes. The vector structure does not originate from intrinsic properties of the field, but rather from the spatial gradient of the phase projected into three-dimensional space. Consequently, the identical propagation speed c for both wave types is not a coincidence, but a necessary consequence of their shared underlying field and identical wave equation. This paper further elaborates on the mutual excitation of electric and magnetic fields: they are not two independent entities, but rather the temporal variation and spatial curl of a single phase perturbation—they must coexist and evolve synchronously as a geometric necessity of a continuous scalar phase field. On this basis, the paper explores the geometric origins of spin-1 photons and spin-2 gravitons: spin-1 of photons originates from the U (1) rotation generator of the existence phase angle on the unit circle, and spin-2 of gravitons arises from the angular momentum of quadrupole mass radiation. This work only provides conceptual conjectures based on TFT geometric intuition, without rigorous quantum field-theoretic derivations. An honest boundary discussion distinguishing kinematic fitting and dynamic self-consistency is supplemented in the appendix, alongside an isomorphic analysis linking modified Maxwell equations and gravitational redshift. Multiple falsifiable experimental predictions and future rigorous research routes are put forward for subsequent theoretical derivation and astronomical observation verification.
Huowang Huang (Wed,) studied this question.