Published May 7, 2025 | Version v1
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Toward a Unified Theory of Quantum Mechanics and General Relativity: Metageometric Framework via External Causal Space and Scale Relativity

Creators

  • 1. Independent Researcher

Description

Reconciling quantum mechanics and general relativity remains a major open problem in theoretical physics. In this paper, we propose a unified framework built on a non-metric “Z₀” causal source space and scale-coupled geometry.

This metageometric approach naturally generates quantum phenomena, gravitational dynamics, and cosmological effects without introducing new particles or a cosmological constant. It delivers:

  • Low-ℓ CMB anomalies in line with Planck data

  • Flat galaxy rotation curves without particle dark matter

  • MeV-scale spectral shifts in atomic transitions

  • Late-time cosmic acceleration via a dipole-repulsor coupling, obviating dark energy

Key ingredients:

  • Transcendental Z₀ causal space – injections driving both quantum fluctuations and spacetime curvature

  • Scale-relativity coupling law – linking fractal (quantum) and smooth (classical) regimes

  • Multi-temporal khron & twin-sector dipole – mechanism for cosmic acceleration and collapse resolution

Keywords: Quantum Gravity • Scale Relativity • Causal Space • Dark Matter Phenomenology • Cosmic Acceleration • Metageometry.

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Additional details

Dates

Created
2025-05-19
Preprint

References

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