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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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Extending the QMM Framework to the Strong and Weak Interactions.

Florian Neukart1,2, Eike Marx2, Valerii Vinokur2

  • 1Leiden Institute of Advanced Computer Science, Leiden University, Gorlaeus Gebouw-BE-Vleugel, Einsteinweg 55, 2333 Leiden, The Netherlands.

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Summary

We extend the Quantum Memory Matrix framework to unify quantum mechanics and general relativity, incorporating all Standard Model forces. This approach treats spacetime as a memory, preserving quantum information even in black holes.

Keywords:
Planck-scale discretizationUV cutoffblack hole evaporationcolor confinementcosmologyelectroweak unificationgauge invariancehigh-energy phenomenologynon-Abelian gauge fieldsquantum gravityquantum memory matrix (QMM)strong interactionunitarityweak interaction

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Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • High Energy Physics

Background:

  • Reconciling quantum mechanics and general relativity remains a major challenge.
  • The Standard Model describes fundamental particles and forces but lacks a quantum gravity framework.
  • The Quantum Memory Matrix (QMM) framework offers a novel approach to quantum gravity.

Purpose of the Study:

  • To extend the QMM framework to include all Standard Model gauge interactions.
  • To develop a unified theory of quantum gravity and particle physics.
  • To investigate the implications of a discrete, memory-based spacetime.

Main Methods:

  • Discretizing spacetime into Planck-scale cells with local Hilbert spaces (quantum imprints).
  • Constructing gauge-invariant imprint operators for quarks, gluons, and electroweak bosons.
  • Embedding SU(3)c (QCD) and SU(2)L × U(1)Y (electroweak) interactions into the QMM.

Main Results:

  • A unified framework naturally enforces unitarity by storing quantum information in high-curvature regions like black hole horizons.
  • The Planck-scale cutoff may resolve UV divergences and modify running couplings.
  • Preservation of non-thermal correlations during black hole evaporation is facilitated.

Conclusions:

  • The extended QMM provides a discrete, memory-based view of quantum gravity and the Standard Model.
  • Challenges include formulating non-Abelian imprint operators and integrating with loop quantum gravity.
  • Observational probes may arise from rare decays and primordial black hole evaporation spectra.