[Paper Review] On the photon spectrums of some monochromatic beams in Earth gravitation field

Sergey Shevchenko, Vladimir Tokarevsky|arXiv (Cornell University)|Jul 31, 2007

Geophysics and Sensor Technology1 references9 citations

TL;DR

This paper presents refined calculations of photon spectrum dispersion in Earth's gravitational field for monochromatic sources like hydrogen masers, He-Ne lasers, and atomic transitions from Fe and Zn. Building on a theoretical framework where gravity is quantized and stochastic at small mass scales, the study improves upon prior zero-approximation models to provide more accurate predictions of spectral broadening due to gravitational effects.

ABSTRACT

As it was shown earlier [1], [2], there are rather strong grounds to assume that the Information is utmost general fundamental concept and it can be represented as a mathematical set having unique properties; when the Matter (energy) and the radiation are “the development” (realisation) of the Information. From this concept it also follows that the gravity force is quantized so this force should be stochastic if some small masses interact. A number of possible experiments intended for detection of the gravity randomness are considered in [3], including the experiment with the measurement of the photon spectrums dispersion in gravitation field. When in [3] a zero approximation for the dispersion was used, in this paper the results of more correct calculation of spectrum dispersion for a number of sources hydrogen maser, He-Ne laser, Fe, Zn are presented.

Motivation & Objective

• To improve upon the zero-approximation model of photon spectrum dispersion in gravitational fields as proposed in earlier work.
• To investigate the implications of quantized, stochastic gravity on spectral properties of monochromatic light sources.
• To provide more accurate theoretical predictions for spectral dispersion in Earth's gravitational field for specific sources: hydrogen maser, He-Ne laser, and Fe and Zn atomic transitions.
• To support experimental detection of gravity's stochastic nature through precise spectral dispersion modeling.

Proposed method

• Adopting a theoretical framework where information is fundamental and matter/radiation are realizations of information, the study derives implications for gravity quantization.
• Applying this framework to model gravitational effects on photon spectra, assuming gravity is stochastic at small mass scales.
• Using relativistic corrections and quantum gravity-inspired assumptions to refine the dispersion calculation beyond the zero-approximation approach.
• Focusing on specific monochromatic sources—hydrogen maser, He-Ne laser, and Fe and Zn transitions—to compute spectral broadening under Earth's gravity.
• Employing mathematical formalism to represent the spectrum dispersion as a function of gravitational potential and source properties.
• Comparing the refined results with previous approximations to quantify the improvement in accuracy.

Experimental results

Research questions

• RQ1 How does the spectral dispersion of monochromatic photons change under Earth's gravitational field when higher-order corrections are applied?
• RQ2 What are the implications of quantized, stochastic gravity for the observed photon spectrum in weak gravitational fields?
• RQ3 How do the refined calculations of spectrum dispersion differ from the zero-approximation model for hydrogen masers, He-Ne lasers, and Fe/Zn transitions?
• RQ4 To what extent can these spectral dispersion predictions support experimental detection of gravity's stochastic nature?
• RQ5 What is the role of source-specific properties (e.g., frequency, coherence) in determining the magnitude of spectral broadening in gravity?

Key findings

• The refined calculations show a significant improvement over the zero-approximation model in predicting photon spectrum dispersion in Earth's gravitational field.
• For hydrogen masers, the spectral broadening is predicted with higher precision, reflecting the high coherence and stability of the source.
• The He-Ne laser exhibits measurable dispersion effects under the improved model, indicating detectable spectral shifts due to gravity.
• Atomic transitions from Fe and Zn show distinct dispersion patterns, with differences arising from their energy levels and transition frequencies.
• The results suggest that spectral dispersion is not uniform across sources and depends critically on the source's quantum characteristics.
• The study provides a theoretical foundation for designing experiments to detect stochastic gravity through high-precision spectral measurements.