This preprint introduces a groundbreaking, zero-latency bank interaction framework that solves the Memory Wall problem in cybersecurity. By replacing memorized secrets with Silicon DNA (S-DNA) and securing the transaction layer with Ramanujan's transcendental 1/pi series, we establish a hardware-native foundation for digital identity that is mathematically invariant and physically unhackable.

Key Technical Pillars:

1. The S-DNA Anchor: Utilizes the hardware-isolated SRAM start-up patterns of a device's Secure Element to create a Physical Root of Trust. This Silicon DNA is a permanent physical constant that the user never needs to remember or see.
2. The Transcendental Handshake: Employs the rapidly converging Ramanujan 1/pi series as a dynamic temporal gate. An NVIDIA Blackwell B200 server synthesizes ephemeral mathematical challenges at specific coordinates (k and c-strobe), requiring the device to perform a hardware-resident fusion of its S-DNA with the transcendental segment.
3. Deterministic Sharding (Zero-Search Latency): Leverages the author's previous work on combinatorial sharding to eliminate server-side table searches. By using the Username and S-DNA as deterministic seeds, the system achieves O(1) direct-jump data retrieval, enabling sub-millisecond authentication for millions of concurrent users.
4. The Any-8-Character Trigger: Introduces an active conflict resolution layer where the user enters any 8 arbitrary characters to trigger the hardware fusion. This ensures the user is an active participant in the security loop without requiring them to memorize a static string.

Groundbreaking Impact:
This system effectively neutralizes phishing and replay attacks by shifting the Root of Trust from human memory to the immutable physics of silicon. It transforms the modern smartphone into a sovereign digital passport, providing a water-tight, zero-knowledge framework for the future of global financial engineering and autonomous systems.

Related Works by the Author:

1. Ramanujan's Partition Formula and NVIDIA's Blackwell FP64: A Divine Combination for the AI World and Computer Graphics - No More Hashtables (Zenodo, 2026).
2. Ramanujan-Pi Series and Nvidia Blackwell B200: FP64 Architecting Transcendental Entropy for Bitcoin Security (Zenodo, 2026).

NoPassword.pdf

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