I’ve been working on a strange idea, What if spatial entropy gradients just ∇S, no temperature, no randomness could give rise to a real conservative force in a classical, collision less system?
It’s not a metaphor. The setup is:-
take a weakly inhomogeneous expanding medium with no collisions. Let entropy gradients emerge passively over time. Can those gradients act as sources for a scalar potential and if so, could particles respond to that field in a way that mimics force?
I’ve sketched out a framework for this:
VGETA, short for V. Gradient Entropy Theory of Asymmetry. It’s classical, deterministic, and potentially falsifiable. The core force the Entropy emergent force arises from the gradient of a scalar entropy based potential ( Entropy gradient Field). There’s no thermal equilibrium, no heat bath, and no stochastic motion involved.
This post is an open invitation to develop, challenge, or dismantle the idea together !!

Why Share It Here??

I know Less Wrong audience values clear reasoning, falsifiability, and conceptual elegance. VGETA is an attempt to work inside that spirit. It’s not a grand theory, it’s a testable structure that might reveal something interesting if it holds up and something instructive if it breaks.
If nothing else, I’d like to think of this as a conversation starter! Is there room for conservative forces to emerge from entropy geometry alone?
I’ve tried out two independent derivations. But the math is just the foundation. What we build on top of it, question, or discard ! that’s where this community’s insight can matter.

Why This Might Matter (If It’s Not Wrong)

The basic claim is entropy gradients (∇S) can act like a source for a scalar potential field, and its gradient yields a conservative force. No thermodynamic bath required. No holography. No fluctuations.
This diverges from models like entropic gravity, which rely on stochastic motion or temperature. If VGETA works, it would suggest a different path to force emergence one tied to large scale structure in phase space, not statistical behaviour at small scales.
The nice thing is this doesn’t require speculative assumptions!! No new particles!! No exotic physics !! Just field theory, thermodynamics, and entropy as a spatial function.

What We Can Test together !

If you’re curious or sceptical, here’s what we could check:
- Can ∇S be defined in systems like Fornax, GD‑1, or Draco?
- D...

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