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March 18, 2026Open Access

Timeless Quantum Field: Quantum Structure from Renormalization Symmetry

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Authors

SRSudhakar Rajnikant

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Overview

This work investigates how quantum mechanics emerges from symmetry principles, suggesting implications for quantum field theories.

Key Points

  • The research aims to explore if key features of quantum mechanics can arise from a fundamental symmetry principle rather than being postulated.
  • Developed a framework using functionals over configuration space under coarse-graining transformations.
  • Established a renormalization group (RG) semigroup to study the invariance of physical observables.
  • Defined consistency conditions including associativity and symmetry to derive state space structure.
  • Demonstrated that admissible state composition leads to a uniquely additive structure of state space.
  • Showed probability emerges as a measure aligned with state functionals.
  • Identified the quadratic rule as a stable fixed point in the context of renormalization group flow.

Cite This Study

Sudhakar Rajnikant (2026) studied this question.

synapsesocial.com/papers/69ba421b4e9516ffd37a2102https://doi.org/10.5281/zenodo.19044573
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Timeless Quantum Field: Quantum Mechanics from Renormalization Symmetry2026
  2. 2Timeless Quantum Field: Renormalization Group Structure of State Space and the Emergence of Quantum Mechanics2026
  3. 3Quantum Kinematics from Renormalization Symmetry: A Timeless Reconstruction of Hilbert and Statistical Structure2026
  4. 4Timeless Quantum Field Theory from Renormalization Symmetry: Quantum Mechanics, Gravity, and Cosmology2026
  5. 5Quantum Kinematics from Renormalization Symmetry: A Convexity-Free Reconstruction in a Timeless Framework (v3)2026