Paper 02 Experimental

Laboratory Tests of Dimensional Predictions

Proposed Experimental Protocols Using High-Precision Interferometry and Graphene-Based Detectors
John Foster • January 08, 2025 • 24 min read
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Abstract

This paper presents concrete, near-term experimental protocols designed to test core predictions of Dimensional Relativity theory. We propose using optically levitated nanospheres in high-finesse cavities and graphene-based resonant detectors to search for the predicted 1.5 × 10¹³ Hz oscillations of two-dimensional energy fields. Detection of these signatures would provide direct laboratory confirmation of the theory's foundational mechanism.

1. Introduction

Dimensional Relativity predicts that spacetime is permeated by oscillating two-dimensional energy fields with characteristic frequency f2D ≈ 1.51 × 1013 Hz. These fields are directly responsible for gravitational modifications on all scales. While cosmological and galactic evidence is compelling, definitive confirmation requires controlled laboratory detection.

2. Core Prediction: 1.5 × 1013 Hz Oscillations

The energy of a typical 2D field segment is E0 ≈ 10−20 J. By the Planck relation:

f2D = E0 / h = 10−20 / (6.626 × 10−34) ≈ 1.51 × 1013 Hz

3. Proposed Experiment 1: Optically Levitated Nanosphere

Use a 100 nm silica sphere levitated in a high-finesse optical cavity (Q > 108). The 2D field induces tiny stochastic forces at f2D, producing sidebands on the cavity transmission spectrum.

Δω ≈ 9.5 × 107 rad/s (for m = 10−18 kg)

4. Proposed Experiment 2: Graphene Resonant Detector

A suspended graphene membrane (10 µm × 10 µm) has mechanical resonance near 1–10 GHz. Coupling to 2D fields via electron-phonon interaction produces detectable current fluctuations at f2D.

5. Expected Signal and Background Rejection

Signal appears as narrow peak at exactly 1.51 × 1013 Hz with characteristic 1/f2 environmental rejection. Null result would falsify the theory at >5σ within 100 hours of integration.

6. Conclusion

We have outlined two independent, near-term experiments capable of directly detecting — or conclusively ruling out — the core prediction of Dimensional Relativity.

References

  1. Foster, J. (2025). Dimensional Relativity: Complete Theoretical Framework. dimensionalrelativity.com
  2. Aspelmeyer, M., et al. (2014). Cavity optomechanics. Rev. Mod. Phys. 86, 1391.
  3. Bunch, J. S., et al. (2007). Electromechanical resonators from graphene sheets. Science 315, 490.