Description
Title: Excitations of Spacetime in a Quantized Field
Abstract: We investigate the possibility of a Proper Time Oscillator—the temporal analog of the quantum harmonic oscillator. Such an oscillator exhibits the same properties consistent with those of a particle in both quantum theory and general relativity. First, we find that spacetime can be quantized at a distance scale much larger than Planck. The quanta of this spacetime excitation field are proper-time oscillators. The field is characterized as bosonic, and each proper time oscillator possesses the properties of a boson. We further extends our results for a fermionic
field. Next, we examine the spacetime geometry outside a stationary proper time oscillator, treating it as a classical object (i.e., neglecting quantum effects). The resulting geometry is Schwarzschild, corresponding to a rest mass in general relativity. Together, these results indicate that a particle's intrinsic proper-time oscillation provides the means for direct spacetime interaction and the generation
of a gravitational field, assuming the particle is an excitation of its quantum field and the underlying spacetime. We also explore how such oscillations might affect neutrino arrival-time measurements. Our analysis indicates that spatial oscillations of a 1-TeV neutrino may not be entirely beyond observational reach in a laboratory, offering a potential signature of time-based fluctuations. References [1] Yau, H. Y.: Quantized field with excitations of spacetime. Sci Rep 15, 30844 (2025) [2] Yau, H. Y.: Matter, spacetime and proper time oscillator. To appear in (2024) Marcel Grossman Conference Proceeding [3] Yau, H. Y.: Proper time operator and its uncertainty relation. J. Phys, Commun. 105001 (2021) [4] Yau, H. Y.: Schwarzschild field of a proper time oscillator. Symmetry 12(2), 312 (2020) [5] Yau, H. Y.: Self-adjoint time operator in a quantum field. J. Quant. Info. 1941016 (2020).