The VERSF programme has been addressing two big questions:
Where does mass actually come from?
Why does mass curve spacetime — or, more fundamentally, why does it attract other mass?
Previous VERSF papers approached these questions from different angles. One strand focused on “commitment” — the idea that particles exist because they stabilise irreversible selections from a deeper substrate of possible states. In that picture, mass isn’t a mysterious intrinsic property; it reflects how densely a particle stabilises distinguishable “facts” within the underlying fabric of reality.
Another strand approached gravity from the perspective of conservation and distinguishability. It showed that if the universe must conserve these irreversible distinctions (Bit Conservation & Balance, or BCB), then something mathematically identical to Newton’s gravitational law naturally appears. Gravity looked less like a fundamental force and more like an accounting rule.
But until now, those strands were parallel.
This new paper unifies them.
One Quantity, Two Faces
The central move is surprisingly simple:
The same quantity that defines mass at the microscopic scale — commitment density — becomes the source of gravity at large scales.
At small scales, a particle’s mass is proportional to how densely it stabilises irreversible commitment patterns within the substrate. That defines rest mass.
At larger scales, when many such commitments accumulate in a region of space, they constrain the surrounding substrate. When two regions of high commitment density come close, their constraints overlap. That overlap reduces the total structural “cost” of maintaining those commitments — meaning entropy is higher when mass clusters than when it is spread apart.
Systems move toward higher entropy.
So mass moves toward mass.
That’s gravity.
Why the Inverse-Square Law Isn’t Put in by Hand
One of the strongest parts of the paper is showing why gravity follows an inverse-square law.
The argument goes like this:
Commitment influence propagates locally through the substrate.
If something propagates locally, conservatively, and without loss in three dimensions, the only possible long-distance solution is a 1/r potential.
A 1/r potential gives a 1/r² force.
But what prevents gravity from “screening out” at large distances — fading faster than inverse-square?
The answer lies in BCB. If the substrate could forget constraints, gravity would weaken. But forgetting would mean restoring eliminated configurations — which contradicts the irreversibility that defines commitment.
So infinite range isn’t assumed. It’s structurally protected.
From Newton to Einstein — Conditionally
Once you have:
A long-range interaction
That couples universally to energy (because all mass arises from commitment density)
Then a powerful theorem in physics (due to Weinberg and Deser) takes over. It states that any such interaction must be carried by a massless spin-2 field — and the only consistent nonlinear theory of such a field is general relativity.
So the new paper doesn’t “invent” curvature.
It shows that if mass and gravity both arise from irreversible information commitments — and if Lorentz symmetry emerges at large scales — then Einstein’s equations follow as the unique consistent completion.
The Bigger Picture
If this framework is correct, gravity is not a fundamental force added on top of matter.
It is what inevitably happens when irreversible commitments must be conserved in a finite-capacity universe.
Mass tells you how densely commitments are stabilised locally.
Gravity tells you how those commitments organise themselves globally.
One phenomenon. Two scales. No extra ingredients.
An earlier paper, “When Space Itself Has Mass,” introduced the idea that space is not an empty backdrop but has its own inertial and energetic structure whose properties give rise to gravitational behaviour through thermodynamic and field-theoretic reasoning. It showed how entropic principles, horizon arguments, and effective field theory can reproduce Newtonian gravity and connect to general relativity. The new “Unified Coarse-Grained Account of Mass and Gravity” complements that earlier work by going one layer deeper. Instead of starting from thermodynamic reasoning, it derives gravity from the microscopic statistics of irreversible commitments on a discrete substrate, showing how the inverse-square law and the long-range nature of gravity follow from conservation and overlap structure. In short, the older paper explored how gravity behaves if space has structure; the latest paper explains why that structure must produce gravity in the first place. One provides a dynamical model of structured space — the other provides the structural inevitability argument beneath it. Together, they form two coherent layers of the same programme.