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Equation 1 · Part 2 · Tool Protocols and the Model Context Protocol in 2035 — Scenarios, Signals, and Falsifiable Predictions

=

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

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

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

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

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