PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
June 19, 20260 citationsOpen Access

Relational Retrocausality and the Algebraic Genesis of Spacetime: Unifying Quantum Reference Frames with Doubly Non-Commutative Geometry

View Full Paper
AAAhmed Albezawi

Key Points

  • The aim is to address the quantum measurement problem by developing a framework that emphasizes relational systems and retrocausality.
  • Developed Relational Retrocausal Quantum Mechanics (RRQM) incorporating Quantum Reference Frames (QRFs).
  • Mapped QRFs onto a doubly non-commutative phase-space matrix algebra.
  • Derived properties of spatial and momentum non-commutativities affecting phase-space integration.
  • Wavefunction measurement retroactively rewrites its history, resolving the measurement problem.
  • Spatial ([Xµ,Xν] = iθµν) and momentum ([Pµ,Pν] = iBµν) non-commutativities induce non-linear curvature in the Einstein-Hilbert action.
  • Gravitational binding energy arises purely from the relational dynamics between non-commutative momentum operators.

Abstract

We demonstrate that when absolute unitary evolution of the wavefunction is enforced alongside the requirement of a single, self-consistent world, the standard quantum measurement problem dissolves. The resulting framework, Relational Retrocausal Quantum Mechanics (RRQM), requires that the state of any system is strictly relational, and that measurement retroactively rewrites the entire history of the wavefunction. By extending RRQM to incorporate Quantum Reference Frames (QRFs) and mapping them onto a doubly non-commutative phase-space matrix algebra, we derive exact continuous causality. We prove that the spatial (Xµ,Xν = iθµν) and momentum (Pµ,Pν = iBµν) non-commutativities dynamically deform the phase-space integration measure. This rigidity generates localized geometric stress upon measurement, mathematically inducing the non-linear curvature of the Einstein-Hilbert action. Furthermore, we provide a complete algebraic derivation proving that gravitational binding energy—the classical mass defect—emerges purely from the relational interaction between non-commutative momentum operators, establishing macroscopic gravity as a thermodynamic shadow of retrocausal constraints.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Ahmed Albezawi (2026) studied this question.

synapsesocial.com/papers/6a46484ca721ce76c2d0b14fhttps://doi.org/10.5281/zenodo.20767935
Ask AI
Helpful
Bookmark
Share
View Full Paper