In our earlier paper, Entropy-Foundations, we explored a bold idea: that the strange laws of quantum mechanics might be the visible surface of a much deeper structure — a hidden geometry shaped by entropy flow.
In that view, probability wasn’t just a mathematical convenience; it was a physical current. Entropy — the measure of uncertainty — moved and curved through space like a river, creating the patterns we interpret as particles, waves, and energy.
The new Bit Conservation and Balance (BCB) framework takes that insight one level deeper.
If Entropy-Foundations mapped the river, BCB reveals the source. It shows that beneath entropy lies something even more fundamental — the conservation of information itself.
According to BCB, every process in the universe, from the spin of an electron to the life cycle of a star, obeys a single rule:
Information can move, but it can never be created or destroyed.
When this rule is written as a continuity equation, the familiar laws of quantum mechanics appear not as arbitrary axioms, but as the inevitable language of information flow.
From this one principle emerge Schrödinger’s equation, the Born rule, uncertainty, and even entanglement — not as mysteries, but as mathematical necessities of information geometry.
And unlike philosophical interpretations, BCB is testable.
It predicts that quantum collapse should take a finite, temperature-dependent time; that decoherence rates should follow a new scaling law; and that optimizing quantum gates for constant “information curvature” could measurably improve performance on real hardware.
Each of these predictions can be verified with today’s experimental technology — giving BCB the rare quality of being both visionary and falsifiable.
Together, Entropy-Foundations and BCB form a complete hierarchy of understanding:
Information Conservation (BCB) → Entropy Flow (Entropy-Foundations) → Quantum Dynamics (Reality as We Know It)
If Entropy-Foundations described the architecture of reality, BCB uncovers its blueprint — the rule that everything must balance in bits before it can exist in form.
How BCB Extends Wheeler’s Vision
Physicist John Archibald Wheeler once proposed “It from Bit” — the notion that every physical thing arises from information, from binary yes-or-no decisions at the heart of reality.
It was a poetic and prophetic insight, but Wheeler’s idea remained philosophical. It didn’t explain how information gives rise to the flow of time, motion, or the dynamics of the physical world.
BCB picks up where Wheeler left off.
Where Wheeler imagined bits as static building blocks, BCB shows that they are dynamic quantities that move, interact, and evolve through time according to a strict conservation law:
∂ₜs + ∇·Jₛ = 0
In other words, information isn’t simply what the universe is — it’s what the universe does.
The flow of bits creates the flow of time. The balance of bits creates the stability of matter.
The geometry of that balance produces the equations of quantum mechanics themselves.
Wheeler gave us the vision that “It” comes from “Bit.”
BCB completes the picture: it shows that time, space, and energy emerge from the way information moves and balances.
It transforms a beautiful metaphor into a precise, testable physical law — one that may rewrite our understanding of the universe at its most fundamental level.