Antimatter as Inverse Recursion: Temporal Operator Asymmetry and Matter–Antimatter Imbalance in Unified Recursion Theory

This paper completes the Unified Recursion Theory (URT) framework by addressing one of the most persistent open problems in fundamental physics: the origin of matter–antimatter asymmetry.

Rather than introducing new particles, forces, or symmetry-breaking fields, the paper reinterprets antimatter within the existing URT formalism. Physical evolution is governed by constrained informational recursion and evaluated locally by the Oscillation Recursion Mirror (ORM), which compares past, present, and future informational states. Crucially, ORM possesses an intrinsic temporal asymmetry whenever recursion is irreversible.

The central proposal is that matter and antimatter correspond to asymmetric realizations of the two temporal operators appearing in ORM evaluation. Matter-dominant states arise from recursion biased toward forward-oriented admissibility, while antimatter-dominant states arise from recursion biased toward backward-oriented consistency. Both contributions are required for evaluation completeness, but they need not be statistically balanced in a temporally biased universe.

In an expanding cosmological phase, entropy production biases recursion toward future-oriented updates. This bias produces a small but persistent statistical excess of matter over antimatter without violating CPT invariance. The observed baryon–to–photon ratio emerges naturally from entropy-scale statistics distributed over the large number of relativistic degrees of freedom in the early universe.

Within this framework:

• Matter–antimatter asymmetry arises from temporal operator imbalance, not special baryogenesis mechanisms.

• CP violation is reinterpreted as a compensatory consequence of fundamental time asymmetry under CPT conservation.

• Matter–antimatter annihilation corresponds to completion of ORM evaluation, explaining its near-perfect efficiency and radiation-only final states.

• The particle arrow of time, the thermodynamic arrow, and the cosmological arrow are unified as manifestations of the same recursion bias.

The paper develops a minimal operator-level formalism, derives the expected magnitude of baryon asymmetry, and identifies multiple falsifiable predictions, including correlations between CP violation, entropy production, annihilation signatures, and antimatter sensitivity to temporal boundary conditions.

This work serves as the conceptual closure of the eleven-paper URT program. Beginning with an energy–information proportionality, URT progresses through geometry, gravity, biology, cosmology, and finally particle asymmetry, showing that matter, time, and irreversibility emerge from a single organizing principle: constrained informational recursion.

URT PAPER FAMILY

This work forms part of the Unified Recursion Theory (URT) research program, which develops a cross-domain framework for physical evolution based on constrained informational recursion and an energy–entropy proportionality law. Each paper in the series is self-contained, while collectively establishing the theoretical structure across quantum, geometric, biological, cosmological, and particle-level domains.

Related URT works available on Zenodo:

FOUNDATIONAL PAPERS

1. Unified Recursion Theory — Core Framework (URT Core)

DOI: 10.5281/zenodo.17642761
Record: https://zenodo.org/records/17642761

2. Discrete Admissible Regimes in Unified Recursion Theory: Operator Closure, Constraint Topology, and the Necessity of Five Operators

DOI: 10.5281/zenodo.18148192
Record: https://zenodo.org/records/18148193

3. Informational Field Theory in Strong Curvature (IFT-SC)

DOI: 10.5281/zenodo.17850379
Record: https://zenodo.org/records/17850379

4. Dynamical Evolution of the Informational Stiffness Field (ISW Theory)

DOI: 10.5281/zenodo.17860533
Record: https://zenodo.org/records/17860533

RESOLUTION PAPERS (PHYSICAL PARADOXES)

5. Informational Recursion and the Dissolution of the Black Hole Information Paradox

DOI: 10.5281/zenodo.17868662
Record: https://zenodo.org/records/17868662

6. ORM and the Quantum Measurement Problem (ORM)

DOI: 10.5281/zenodo.17881944
Record: https://zenodo.org/records/17881944

BRIDGING / CONSTRAINT PAPER

7. Distinguishability Geometry in Informational State Space

DOI: 10.5281/zenodo.17957062
Record: https://zenodo.org/records/17957062

Provides the geometric foundation for informational state space.
Underpins the emergence of spacetime, efficiency universality, and landscape geometry.

THEORETICAL EXPANSION PAPERS

8. Emergent Spacetime from Informational Recursion

DOI: 10.5281/zenodo.17885555
Record: https://zenodo.org/records/17885555

9. λ-Universality Across Scales (λ-UAS)

DOI: 10.5281/zenodo.17934065
Record: https://zenodo.org/records/17934065

10. Free-Energy Landscape Geometry in Unified Recursion Theory

DOI: 10.5281/zenodo.17940995
Record: https://zenodo.org/records/17940995

BIOLOGY / COMPLEXITY PAPER

11. URT in Biology: Efficiency, Folding Funnels, Replication Fidelity, and Molecular Motor Dynamics

DOI: 10.5281/zenodo.17945209
Record: https://zenodo.org/records/17945209

COSMOLOGICAL EXTENSIONS

12. Cyclic Cosmology from Informational Recursion

DOI: 10.5281/zenodo.17955043
Record: https://zenodo.org/records/17955043

13. Antimatter as Inverse Recursion: Temporal Operator Asymmetry and Matter–Antimatter Imbalance in Unified Recursion Theory

DOI: 10.5281/zenodo.17955043
Record: https://zenodo.org/records/17955625