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Lanx said:

wth, you can't fool me, thats fucking event horizon, we're opening an interdimentional gateway to hell

Click to expand...

Wall of text incoming...

You're actually not too far off. The Seawolf class nuclear submarines Bow Sonar sphere is quite unique. Here's how...


You leverage "analogue gravity," where fluid dynamics in dense media like water simulate gravitational effects. Flowing fluids can create effective curved spacetimes for wave propagation, with sound waves acting as analogues to light rays in vacuum. This is grounded in hydrodynamic models where the fluid's velocity and density gradients mimic spacetime curvature. For instance, in open channel flows or variable-depth water systems, the local speed of sound (or wave speed) and flow velocity define an acoustic metric that behaves like a gravitational field. This metric allows for the simulation of horizons (points where waves can't propagate upstream) and even wormhole-like structures, providing a plausible mechanism for rapid ocean traversal.
Key to this is treating water not just as a medium but as a dynamic spacetime analogue. The Seawolf-class submarine's bow sonar sphere, with its array of hydrophones capable of emitting and detecting precise acoustic pulses, could theoretically generate the necessary fields to engineer such a bubble. By pulsing ultra-low-frequency sound waves, the sphere creates localized pressure gradients and velocity perturbations in the surrounding water, effectively warping the "hydro-spacetime" around the sub.
The Acoustic Metric: Core Equation for Fluid-Based Warping
At the heart of this sci-fi adaptation is the acoustic metric, a mathematical framework that describes how sound propagates in an inhomogeneous fluid flow as if on a curved spacetime. The metric tensor is given by:

$$g_{\mu\nu} = \begin{pmatrix}
-c_s^2 + v^2 & -\mathbf{v}^T \\
-\mathbf{v} & \mathbf{I}
\end{pmatrix}$$
Here:

$ c_s $ is the local speed of sound in water (approximately 1,500 m/s at standard ocean conditions, varying with temperature, salinity, and pressure).
$ \mathbf{v} $ is the fluid velocity vector (induced by the sub's propulsion or acoustic forcing).

$ v^2 = |\mathbf{v}|^2 $, the squared magnitude of velocity.
$ \mathbf{v}^T $ is the transpose of $ \mathbf{v} $.
$ \mathbf{I} $ is the identity matrix.


This 4x4 matrix (in 3+1 dimensions) governs the null geodesics for sound waves, similar to how the spacetime metric in general relativity dictates light paths. In practice, the sonar sphere emits controlled acoustic waves to manipulate $ \mathbf{v} $ and $ c_s $: high-intensity pulses compress water ahead, reducing $ c_s $ (contracting "space"), while rarefactions behind increase it (expanding "space"). The sub remains stationary relative to the bubble's interior, but the bubble moves through the ocean at effective superluminal speeds relative to distant water, meaning, the surrounding fluid "flows" around the sub faster than natural currents allow.
For deeper plausibility, consider fluid dynamics solutions to the Alcubierre metric with perfect fluids as gravitational sources. In dense media like seawater, the energy-momentum tensor can be sourced by positive-density fluids (avoiding the need for exotic negative energy), leading to warp bubbles where the regulating function for the drive becomes complex but feasible. This involves solving Einstein's equations with fluid terms, where the warp factor $ f(r) $ (a top-hat function defining the bubble's shape) is adjusted via acoustic inputs to maintain stability.
Mechanism of Activation and Traversal

Priming the Bubble: Acoustic Resonance Build-Up
The process begins with the bow sonar sphere activating its hydrophone array to emit ultra-low-frequency (ULF) pulses, typically in the 1-10 Hz range, which resonate with water's molecular structure. These pulses create a resonance bubble around the bow, where pressure gradients spike to thousands of atmospheres locally (mimicking gravitational wells). The dispersion relation for gravito-capillary waves in water,

$ (\omega - \mathbf{U} \cdot \mathbf{k})^2 = (g k + (\gamma / \rho) k^3) \tanh(k h) $

simplifies in shallow or controlled depths to an acoustic-like form, where $ \mathbf{U} $ is the induced flow speed, $ \mathbf{k} $ the wavenumber, $ g $ gravity, $ \gamma $ surface tension, $ \rho $ density, and $ h $ effective depth. By tuning these, the sphere engineers a region where the Froude number (Fr = U / √(g h exceeds 1, creating a "sonic horizon" analogous to an event horizon, trapping waves inside the bubble.

Igniting the Warp: Fluid Singularity Formation Power from the sub's nuclear reactor feeds into the sphere's particle accelerator-like core (hypothetically, a superconducting ring generating micro-currents). This induces a micro-singularity in the fluid—a point of extreme density where water behaves like a compressible plasma under quantum fluid dynamics. Drawing from hydrodynamic quantum analogs, this creates a pilot-wave system where the sub "surfs" a self-generated wave field. The warp bubble forms as space ahead compresses (via forward-directed acoustic contraction) and behind expands (via rearward rarefaction), described by the sound cone equation:

$ -c_s^2 dt^2 + (d\mathbf{x} - \mathbf{v} dt)^2 = 0 $.

The bubble's radius might be 10-20 meters (matching the sphere's scale), with the sub accelerating into the fold at its standard speed of 35+ knots.
Traversal: Folding the Hydrosphere
Once ignited, the drive folds the ocean's "spacetime" by exploiting hydrodynamic wormholes, analogues where waves propagate through variable cross-section "channels" in the fluid. In theoretical models, water waves in ducts of varying width amplify as they transition from gravity-dominated (long wavelengths) to capillary-dominated (short wavelengths), effectively taking shortcuts through the fluid medium. For the sub, this means the bubble punches a transient wormhole: the bow sphere's pulses create a cascade of dispersive scales, transforming the sub's motion into amplified wave propagation. The sub jumps from, say, the Atlantic to the Pacific in seconds, as the folded path bypasses physical distance. Time dilation is minimal (subjective seconds), with the traversal feeling like a smooth glide through compressed water layers.
Deactivation: Collapsing the Fold

Upon arrival, the sphere reverses pulses to dissipate the bubble, restoring normal fluid dynamics. Residual effects include minor turbulence or density waves, but the sub emerges undetected, leveraging the ocean's natural currents for cover.

Benefits and Challenges for Ocean Traversal
This drive enables traversal of thousands of nautical miles in moments.