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Coach Taj
turbulence@nostrcheck.me
npub1yl2d...pnpq
Coach Taj says …
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tj2025 1 month 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 1 month 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 ~bitcoin
@beyond_turbulence stacked 1 sat posting https://beyondturbulence.blogspot.com/2025/11/injective-structures.html?m=1 [1 comment]
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tj2025 1 month 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 2 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 ~bitcoin_beginners
@beyond_turbulence stacked 36 sats posting https://beyondturbulence.blogspot.com/p/bitcoin-topology-lagrangian-formulation.html?m=1 [2 comments]
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tj2025 2 months ago
3.1 The Warrior (Defender of Consensus) The Warrior Role: Protects the manifold's integrity. Enforces injectivity (no double-spends, no identity fraud). Maintains compactness (bounded, stable topology). Journey Pattern: Through: Patrols boundaries, identifies attacks In: Validates every puncture and path within domain On: Stands as a node of verification, visible and accountable Out: Cannot leave; commitment is permanent (Full Node mentality) Examples: Bitcoin miners, moderators, full node operators, fact-checkers Ethical Burden: Highest responsibility for manifold stability. Must actively close punctures and reject invalid paths. 3.2 The Sorcerer (Manipulator of Flow) Sorcerer Role: Wields flow mechanics to modify topology. Can create or destroy, heal or puncture. The dual-natured architect. Journey Pattern: Through: Sees beneath surface to underlying structure In: Operates from within the manifold's core logic On: Commands attention; moves energy with intent Out: Can exit and re-enter at will; not bound by ordinary paths Examples: Protocol developers, propagandists, viral content creators, narrative architects Ethical Burden: Maximum responsibility for intentional topology changes. Must justify every puncture created, every handle attached. 3.3 The Martyr (Anchor of Stability)
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Six Archetypes: Journeys Through the Manifold Navigation of sema
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