IMM Paper 6: Emergent Cosmological Topology from Projection-Integration Dynamics

Travis Bergen

doi:10.5281/zenodo.21475341

July 21, 2026Open Access

IMM Paper 6: Emergent Cosmological Topology from Projection-Integration Dynamics

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Key Points

This research aims to explore the emergent cosmological topology arising from IMM dynamics on a lattice.
Utilized a 32³ lattice for IMM dynamics simulations.
Identified three universality classes: filamentary, stripe, and blob/spot.
Tested growth exponent α against upcoming observations from Euclid/DESI.
Achieved V₀=29.97% and χ=-1602 indicating filamentary topology.
Discovered a growth exponent α≈1.063, testable against observational data.
Falsified the notion of static isomorphism at the universality-class level.

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Implication

Investigates cosmological topology in lattice dynamics, suggesting significant cross-scale correlations.

Abstract

IMM dynamics on a 32³ lattice produce V₀=29.97%, χ=-1602 filamentary topology. Path-N1 identifies three universality classes: filamentary (IMM+FitzHugh-Nagumo), stripe (Swift-Hohenberg), blob/spot (Gray-Scott). Growth exponent α≈1.063 testable against Euclid/DESI. Cross-scale claim: dynamical correspondence at universality-class level (static isomorphism explicitly falsified).

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Travis Bergen (2026) studied this question.

synapsesocial.com/papers/6a61b0aafaa9903c5116b246 https://doi.org/10.5281/zenodo.21475341

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IMM Paper 6: Emergent Cosmological Topology from Projection-Integration Dynamics

Key Points

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Implication

Abstract

Discussion

Cite This Study

IMM Paper 6: Emergent Cosmological Topology from Projection-Integration Dynamics

Key Points

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Implication

Abstract

Discussion

Cite This Study

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