The GTUD Riemann-Sphere Experiment II: From Selection to Matter-Like Identity, Binding, Composition and Internal Laws - A Proof of Concept for the Grand Theory of Universal Dynamics (GTUD)

Can selection generate its own matter-like structures, distinct families, interactions and internal laws without being told what matter or known physics should look like? GTUD/Riemann Experiment II tests this question in a discrete Riemann-sphere world governed by fixed Selection and retention rules. Known particles, masses, charges, spins, quantum numbers, gravitational equations and Standard-Model identities are excluded as generative targets. Matter-like structure, family identity, abundance, interaction and law must therefore emerge from the model itself before any comparison with established physics is made.The experiment identifies an operational matter-like onset at six-node recurrent structures. This threshold is not defined by size alone: it is the first supported level at which otherwise similar structures acquire different future-law behavior, recur independently across carriers and grow directly into higher recurrent identities. One such structure is embedded in 102 of 135 higher recurrent identities and produces recurrent descendants through direct Native transitions. Continued testing establishes a branching multi-level genealogy rather than a single predetermined growth path. The resulting spectrum contains 135 recurrent exact identities with distinct structural and dynamical roles.The model also develops unequal abundance and interaction laws without fitting them to physical targets. A parent-conditioned transition law predicts which recurrent identities become common: on fresh data, the frozen model improves predictive log score over a parent-blind baseline in every independent run and reproduces the observed abundance ranking with Spearman correlation above 0.99. A separate relational variable, K, measures compatible realization along the corridor between bounded structures. Surgical interventions that change K while leaving the surrounding world fixed causally increase locking, merger and recurrent higher-product formation. Independent carrier tests reproduce the effect across all tested pair classes. Multi-lineage structures form sustained material-like episodes, while the stronger claim of indefinitely stable bulk matter is not supported.Beyond individual structures, Experiment II discovers a hierarchy of internal laws. These include formation and branching laws, family-conditioned response laws, geometric lifetime distributions, non-uniform product spectra, rank-frequency and structural-information relations, approximate detailed balance and stationarity, size-dependent drift and fluctuation laws, carrier-scaling relations, exact recruitment rules and exact predictive-state quotients. By C455, forty-three internal law families are supported or exactly audited. Attraction-like source behavior also decreases systematically with separation and increases with aggregate bounded organization, but the measured microscopic profile is not an exact universal inverse-square law. Discrete relational state cells provide a limited structural comparison with approaches such as loop quantum gravity, without identifying them with spin networks, Planck-scale geometry or spacetime quanta.The later C456-C2700 programme asks a stronger question: are these results tied uniquely to the original microscopic Selection and memory rules? Exhaustive rule-space, null-model and retention-architecture tests show that they are not. The exact Native truth table and hard-reset memory rule are therefore not uniquely required. At the same time, alternative retention architectures preserve major parts of the emergent portfolio, including abundance prediction, material-like episodes, statistical law forms and predictive compression. Exact memory-depth results further identify a broader class of retention systems sharing the same higher-level predictive organization.Together, these findings establish the defined proof of concept of Experiment II: a physics-blind Selection-conditioned world can autonomously develop a matter-like onset, recurrent identities, unequal populations, relational binding and reaction, higher composition and a substantial internal law architecture without known physical objects or laws being inserted as targets. The subsequent robustness programme narrows the claim by showing that the successful organization is more general than one exact microscopic implementation. The results do not identify the generated structures with known particles or establish GTUD as a description of the physical universe. They provide a reproducible mathematical and computational basis for testing whether the same generative architecture has physical counterparts, with positive results, failed hypotheses, null tests and provenance preserved in the accompanying record.

Authors

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-29
DOI
https://doi.org/10.5281/zenodo.23029112
Primary Topic
Complex Systems and Dynamics
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
preprint

The GTUD Riemann-Sphere Experiment II: From Selection to Matter-Like Identity, Binding, Composition and Internal Laws - A Proof of Concept for the Grand Theory of Universal Dynamics (GTUD)

Alfred Frederik Slot
Zenodo (CERN European Organization for Nuclear Research)
Complex Systems and Dynamics
preprint

The GTUD Riemann-Sphere Experiment II: From Selection to Matter-Like Identity, Binding, Composition and Internal Laws - A Proof of Concept for the Grand Theory of Universal Dynamics (GTUD)

Alfred Frederik Slot
preprint en

Abstract

Can selection generate its own matter-like structures, distinct families, interactions and internal laws without being told what matter or known physics should look like? GTUD/Riemann Experiment II tests this question in a discrete Riemann-sphere world governed by fixed Selection and retention rules. Known particles, masses, charges, spins, quantum numbers, gravitational equations and Standard-Model identities are excluded as generative targets. Matter-like structure, family identity, abundance, interaction and law must therefore emerge from the model itself before any comparison with established physics is made.The experiment identifies an operational matter-like onset at six-node recurrent structures. This threshold is not defined by size alone: it is the first supported level at which otherwise similar structures acquire different future-law behavior, recur independently across carriers and grow directly into higher recurrent identities. One such structure is embedded in 102 of 135 higher recurrent identities and produces recurrent descendants through direct Native transitions. Continued testing establishes a branching multi-level genealogy rather than a single predetermined growth path. The resulting spectrum contains 135 recurrent exact identities with distinct structural and dynamical roles.The model also develops unequal abundance and interaction laws without fitting them to physical targets. A parent-conditioned transition law predicts which recurrent identities become common: on fresh data, the frozen model improves predictive log score over a parent-blind baseline in every independent run and reproduces the observed abundance ranking with Spearman correlation above 0.99. A separate relational variable, K, measures compatible realization along the corridor between bounded structures. Surgical interventions that change K while leaving the surrounding world fixed causally increase locking, merger and recurrent higher-product formation. Independent carrier tests reproduce the effect across all tested pair classes. Multi-lineage structures form sustained material-like episodes, while the stronger claim of indefinitely stable bulk matter is not supported.Beyond individual structures, Experiment II discovers a hierarchy of internal laws. These include formation and branching laws, family-conditioned response laws, geometric lifetime distributions, non-uniform product spectra, rank-frequency and structural-information relations, approximate detailed balance and stationarity, size-dependent drift and fluctuation laws, carrier-scaling relations, exact recruitment rules and exact predictive-state quotients. By C455, forty-three internal law families are supported or exactly audited. Attraction-like source behavior also decreases systematically with separation and increases with aggregate bounded organization, but the measured microscopic profile is not an exact universal inverse-square law. Discrete relational state cells provide a limited structural comparison with approaches such as loop quantum gravity, without identifying them with spin networks, Planck-scale geometry or spacetime quanta.The later C456-C2700 programme asks a stronger question: are these results tied uniquely to the original microscopic Selection and memory rules? Exhaustive rule-space, null-model and retention-architecture tests show that they are not. The exact Native truth table and hard-reset memory rule are therefore not uniquely required. At the same time, alternative retention architectures preserve major parts of the emergent portfolio, including abundance prediction, material-like episodes, statistical law forms and predictive compression. Exact memory-depth results further identify a broader class of retention systems sharing the same higher-level predictive organization.Together, these findings establish the defined proof of concept of Experiment II: a physics-blind Selection-conditioned world can autonomously develop a matter-like onset, recurrent identities, unequal populations, relational binding and reaction, higher composition and a substantial internal law architecture without known physical objects or laws being inserted as targets. The subsequent robustness programme narrows the claim by showing that the successful organization is more general than one exact microscopic implementation. The results do not identify the generated structures with known particles or establish GTUD as a description of the physical universe. They provide a reproducible mathematical and computational basis for testing whether the same generative architecture has physical counterparts, with positive results, failed hypotheses, null tests and provenance preserved in the accompanying record.

Zenodo (CERN European Organization for Nuclear Research)
Open Science NL
Peace, Justice and strong institutions
Complex Systems and Dynamics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.