Can we see Blockchain decentralized data like a mathematical duality or morphisms between representations?

Can we see Blockchain decentralized data like a mathematical duality or morphisms between representations?

I prefer to think BLOCKChain in mathematic spaces formulation because we need to understand what is in mathematic terms this 'de-centralization' before. I find this what is decentralization and Wiki-decentralized blockchain

My idea is that 'de-centralization' it is not as it appears so I start to use Category Theory to un-lock this 'blocks concept' because there is something that does not come back to me in all this 'inviolability' because we talk about just a simply P2P way (nodes, data,transactions..) 1 propagation 2 over a network 3 but the underlying layer is to the extend that this propagation is represented like a math object and now is useful also to talk about Feynman Propagator of a Scalar Field

1: like algebraic varieties or manifolds
2: in this case we talk or Action Functional or about Group Action
3: This remember in math something like Closed Immersions

Other idea are

Morphisms between representations
Homomorphism of linear representations

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