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Equation 1 · Part 4 · Tool Protocols and the Model Context Protocol in 2035 — Scenarios, Signals, and Falsifiable Predictions

subscript

harm(scope)  =  p(misuse)⋅blast_radius(scope)\text{harm}(\text{scope}) \;=\; p(\text{misuse}) \cdot \text{blast\_radius}(\text{scope})
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

That architecture is a specific case of a more general primitive already standardized outside MCP. RFC 9396 defines authorizationdn_details , an OAuth 2.0 extension letting a client request structured, fine-grained permissions — its own example is the difference between “read access to a profile” and “transfer 45 euros to a named merchant” — instead of the flat, coarse strings that scope provides on its own [ 7 ] . MCP’s step-up scoping is a narrower instance of the same idea: authorization as a set of bounded, named permissions rather than a single yes/no grant. The dual-control key-ceremony rig — two independent credentials, neither sufficient alone, both required before a shared grant…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.