Proof of Existence
Why a key cannot exist without the physical presence of its creator. The binding of Space, Time, and Biology.
Nanosecond Binding
The key is generated using environmental noise that exists only for a specific nanosecond. Recreating the key requires recreating the exact moment in time, which violates the laws of thermodynamics (Entropy always increases).
Spatial Locking
The key is bound to a 3D coordinate (Latitude, Longitude, Altitude/Pressure). Moving even 1 meter changes the environmental variables enough to invalidate the key generation process.
The Impossibility Proof
// Definition: Key Existence Function
E(K) = f(Bio, Space, Time)
// Condition 1: Time Uniqueness
∀ t1, t2 : t1 ≠ t2 ⇒ Entropy(t1) ≠ Entropy(t2)
// Condition 2: Spatial Uniqueness
∀ p1, p2 : dist(p1, p2) > ε ⇒ Env(p1) ≠ Env(p2)
// Conclusion: Cloning Impossibility
P(Clone) = P(Reverse_Entropy) × P(Teleportation) ≈ 0
This proof demonstrates that forging an HSKG key is not just computationally hard (like factoring primes), but physically impossible within our current understanding of the universe.
Physical Constraint Warning
This security model relies on the user being physically present. Remote authentication without a trusted sensor relay is impossible by design. This is a feature, not a bug.