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Coach Taj
turbulence@nostrcheck.me
npub1yl2d...pnpq
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tj2025 2 months ago
Cosmos This paper introduces a geometric formwoek for modeling linguistic structure, treating noun phrases as fiber bundles over a base manifold of primitive nouns and syntactic structures. We demonstrate that this approach provides a unified mathematical foundation for understanding syntactic creativity, semantic variation, and the relationship between surface structure and deep meaning.
Topolinguistics vs Geometric Linguistics: The Fiber Bundle Model of Noun Phrases
Coach . Taj . Intention . Lisp . turbulence . intelligence . tj-coulon . troy . beyond . allusive . p-vs-np . Pure . Musical . Visual . Direct .
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tj2025 2 months ago
Bluesky Social
Happy Speech Plus (@tcoulon2025.bsky.social)
stacker.news/items/1248777 The dominant public health narrative has long focused on the risks of excessive sun exposure, leading to widespread avo...
 The Solar Paradigm Shift The dominant public health narrative has long focused on the risks of excessive sun exposure, leading to widespread avoidance behaviors. However, emerging research from diverse fields suggests a more nuanced understanding. Sunlight, like many natural elements, follows a dose-response curve: too little can be as harmful as too much. This paper reframes sunlight as a form of "medicine," where the goal is optimization rather than avoidance. The challenge is to find the right balance for each individual, based on their unique biology and environment.
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tj2025 3 months ago
Bluesky Social
Happy Speech Plus (@tcoulon2025.bsky.social)
Turbulence is a property of conflict dynamics characterized by sensitive dependence on initial conditions, non-linear feedback loops, and emergent ...
 3. Turbulence: The Three-Dimensional Necessity Definition 3.1 (Conflict Turbulence): Turbulence is a property of conflict dynamics characterized by sensitive dependence on initial conditions, non-linear feedback loops, and emergent vortical structures. Turbulence is defined in three or more dimensions but undefined in two-dimensional spaces.
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tj2025 3 months ago
Geometric Viscosity Abstract We reintroduce subgratance, a mathematical construct describing the fundamental substrate enabling stickiness; geometric operations that maintains exploration capacity. Through topological problem(s) and conservation principles, we establish subgratance as the necessary condition for bounded geometric manifolds that resist, tolerate and endure both collapse and runaway divergence. We prove fundamental theorems governing subgratance dynamics and demonstrate applications.
Geometric Viscosity
Coach . Taj . Intention . Lisp . turbulence . intelligence . tj-coulon . troy . beyond . allusive . p-vs-np . Pure . Musical . Visual . Direct .
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tj2025 3 months ago
Appendix D: Topological Deficits and Manifold Integrity D.1 Three Interpretations of "Debits" Extending the topological deficit analysis: Energetic Deficits: Regions where conserved quantities drain, causing PDE blow-up Topological Deficits: Holes or non-compact intrusions in solution manifolds Dual-Layered Ravines: Simultaneous energetic drains and topological gaps Theorem D.1 (Debit Injectivity): A manifold maintains injective integrity if all deficits are locally compact and energy-bounded. D.2 Applications to Blockchain and Relational Systems Topological deficits correspond to: Blockchain: Network partitions, consensus failures Relational: Trust violations, communication gaps Quantum: Decoherence, measurement collapse
Stacker News
Injective Structures \ stacker news
@beyond_turbulence stacked 1 sat posting https://beyondturbulence.blogspot.com/2025/11/injective-structures.html?m=1 [1 comment]
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tj2025 3 months ago
Traditional economic models struggle with the inherent complexity of market systems. The FOME Canon (Field-Object-Member-Element) offers a novel approach by conceptualizing markets as cognitive manifolds—spaces where states are defined by information, beliefs, and possibilities. This framework enables analysis of market dynamics through the lens of topological structures and path integrals, with market pressure gradients serving as the fundamental force field governing systematic | systemic progress.
White Paper: The FOME Canon & Market Pressure
Coach . Taj . Intention . Lisp . turbulence . intelligence . tj-coulon . troy . beyond . allusive . p-vs-np . Pure . Musical . Visual . Direct .
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tj2025 3 months ago
Lagrangian!?! Author: Big T Abstract: This paper introduces a Lagrangian formulation for the Combinatorial Bitcoin Topology, uniting symbolic transmutation, injectivity, connectivity, dimension, and compactness within a single variational framework. The resulting model treats blockchain flow as a topological field whose extremal action encodes stability, security, and harmony across discrete–continuous manifolds.
Stacker News
Bitcoin Topology: A Lagrangian Formulation \ stacker news
@beyond_turbulence stacked 36 sats posting https://beyondturbulence.blogspot.com/p/bitcoin-topology-lagrangian-formulation.html?m=1 [2 comments]
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