u/3J2G

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Hi everyone,

I'm a 14-year-old with a big imagination and no formal physics training beyond basic school stuff. I’ve been thinking about the black hole information paradox, but instead of math, I use a water vortex analogy. It’s probably nonsense, but I wanted to share it anyway. I call it the Large Hole Vortex Integrity Factor (LHVIF) .

My Analogy:

· A black hole is like a water vortex (whirlpool).

· Infalling matter/information is like an object being sucked in.

· Strong tidal forces = fast, violent vortex (small black hole) → information gets shredded.

· Weak tidal forces = large, slow vortex (supermassive black hole) → information stays more intact.

So the ability to "reverse the vortex" and recover intact information depends on the black hole's size and spin.

My "Formula" (for fun, not real physics):

To avoid 0% or 100% (nothing is perfect), I made this:

\text{LHVIF} = \frac{Q}{1+Q}, \quad Q = \left(\frac{M}{M_0}\right)^2 (1-a^2)

· M = black hole mass.

· a = dimensionless spin (0 to 1).

· M_0 = a reference mass (I picked ~1 million solar masses, just a guess).

What it says:

· Very small or fast-spinning black hole → LHVIF → 0% (information practically lost).

· Very large and slow-spinning black hole → LHVIF → 100% (information practically recoverable).

· Never exactly 0 or 100% – always a tiny residue of chaos.

A "Test" with Sgr A (our galaxy's supermassive black hole):*

· Mass ~4.3 million Suns.

· Spin a \approx 0.9 (very fast!).

· Using my silly formula, LHVIF comes out around something like 50–80% depending on M_0 . Not perfect, but not hopeless.

My Question for You (Physics People):

Does this kind of "intuitive vortex thinking" have any connection to real physics concepts (like the holographic principle, ER=EPR, or the role of tidal forces in information scrambling)? Or is it just a cute but useless analogy?

I know I'm just a kid, and this is not rigorous. But I enjoy thinking this way. Thank you for reading, and feel free to tell me why it's wrong (but please be gentle 😅).

(posted anonymously)