The Information Weight Formula
w(r) = λ × ξ × n(r) × (Tdyn/τ0)α × ζ(r)
This single equation replaces dark matter. The information weight w(r) multiplies Newtonian predictions to match observations. Here, Tdyn is the orbital period, τ0 is the fundamental tick (7.33 × 10⁻¹⁵ s), and α = 0.191 emerges from the golden‑ratio scaling of the ledger. No free parameters per galaxy—all constants are fixed by theory. Tested on 126 galaxies with median χ²/N = 2.75, competitive with MOND but derived rather than assumed.
A Galaxy That Shouldn't Spin This Fast
In the 1970s, astronomer Vera Rubin peered through her spectrograph at the Andromeda galaxy and saw something that shouldn't exist. Stars at the galaxy's edge were whipping around at nearly the same speed as those near the center—defying Newton's laws. It was like discovering that Pluto orbits the Sun as fast as Mercury.
For five decades, physicists have explained this cosmic speed limit violation by adding invisible "dark matter" to their equations. But what if the problem isn't missing matter? What if gravity itself works differently when stretched across cosmic scales?
A Century of the Missing Mass
A Different Answer: Information-Limited Gravity
Imagine reality as a vast cosmic spreadsheet that must keep all its cells—every particle, every field—perfectly synchronized. This universal ledger has finite processing power. Like a video streaming service during peak hours, it must prioritize where to allocate its bandwidth.
Solar Systems
Small, fast-changing, high priority. The ledger keeps up—Newton works perfectly.
Galaxies
Vast, slow-moving, lower priority. Update lag creates stronger apparent gravity.
The Pattern
The slower the system evolves, the more lag accumulates, the stronger gravity appears.
Show Me the Evidence
Galaxies tested with zero per-galaxy tuning
Median χ²/N for ILG model (competitive with MOND's 2.47)
Free parameters adjusted to fit the data
The researchers tested their model on the SPARC dataset—high-quality rotation curves for 126 galaxies spanning five orders of magnitude in mass. Unlike typical analyses that adjust parameters for each galaxy, this study used globally fixed values derived from theoretical principles.
How It Works
The information-limited gravity model introduces a "weight function" that modifies gravitational acceleration based on how efficiently the cosmic ledger can update different regions of space. Think of it as a cosmic triage system—some areas get priority updates while others experience lag.
The key insight is that systems with different timescales receive different levels of attention from the universe's information-processing infrastructure. A planet orbiting the Sun completes its circuit in months or years—fast enough that the cosmic ledger can keep up with near-perfect accuracy. Newton's laws work beautifully.
But a star orbiting the center of a galaxy? That takes 200 million years to complete one loop. From the ledger's perspective, this is glacially slow, low-priority traffic. The system can afford to batch updates, leading to accumulated lag that manifests as apparently stronger gravity.
Solar System Scale
Update Priority: Maximum
Orbital Periods: Days to decades
Result: Real-time updates, Newton works perfectly
Galaxy Scale
Update Priority: Lower
Orbital Periods: Hundreds of millions of years
Result: Batched updates create apparent extra gravity
Dwarf Galaxy Scale
Update Priority: Minimal
Orbital Periods: Billions of years
Result: Maximum lag, strongest "dark matter" effects
Falsifiability First: The Tests That Could Break It
Near-term experiments that could falsify ILG:
Specific enhancement patterns in weak lensing maps. No enhancement = theory fails.
Should show ~10ns "ticks" in millisecond pulsars. Smooth residuals = theory fails.
Predicts 32× stronger gravity at 20 nanometers. Wrong scaling = theory fails.
"Unlike dark matter—which remains stubbornly undetectable after 40+ years—information-limited gravity makes specific, testable predictions that can be checked within the next few years."
If It's Right: The Big Picture
If information-limited gravity proves correct, it would represent one of the most profound shifts in physics since Einstein's relativity. Instead of a universe mysteriously dominated by invisible matter and dark energy, we'd have a cosmos governed by information-processing constraints—a computational universe with finite bandwidth.
The implications cascade across multiple scales. Galaxy rotation curves, gravitational lensing anomalies, and possibly even cosmic acceleration could all emerge from the same fundamental limitation: the universe's finite capacity to update gravitational fields everywhere simultaneously.
Cosmological Scale
Dark energy effects could emerge from bandwidth conservation—the universe prioritizing structure formation over uniform expansion updates.
Galactic Scale
Rotation curves and lensing effects arise from processing delays in extended, slow-evolving systems.
Laboratory Scale
Gravity should be measurably stronger at nanometer scales due to discrete update structure.
Perhaps most remarkably, this framework suggests that consciousness and physics share a common foundation. Both emerge from information processing under bandwidth constraints. The same ledger that governs particle interactions might underlie awareness itself—reality recognizing itself through finite computational resources.
It would mean the universe isn't missing 95% of its matter. We've simply been using equations that assume infinite computational resources—a luxury the cosmos apparently doesn't have.
Skeptics' Corner
Information-limited gravity faces formidable challenges that any honest assessment must acknowledge. The model's relativistic extension predicts specific lensing enhancements in galaxy clusters that haven't been observed—a potential smoking gun that could falsify the entire framework within the next few years.
The cosmological implications remain largely unexplored. While the model handles galaxy-scale dynamics well, it's unclear how it would affect cosmic microwave background patterns, large-scale structure formation, or Big Bang nucleosynthesis. Dark matter, for all its elusiveness, successfully explains these phenomena.
Perhaps most critically, the rotation curve fits—while impressive—rely on systematic uncertainties in distance measurements, inclination angles, and stellar mass-to-light ratios that could shift the results. A small error in any of these could dramatically change the conclusions.
The scientific community has invested decades in dark matter searches precisely because the evidence seemed overwhelming. Extraordinary claims require extraordinary evidence, and a model that discards 85% of the universe's matter needs to clear an extraordinarily high bar. The next few years of observations will be crucial.
What's Next
The beauty of information-limited gravity lies in its falsifiability. Unlike dark matter—which has evaded detection for decades—this model makes specific, testable predictions that will be confirmed or refuted within the next few years.
2025-2026: Immediate Tests
JWST Cluster Lensing: Look for predicted 1.5× enhancement patterns at 35 kpc scales
Laboratory Gravity: Test for 32× stronger gravity at 20-nanometer separations
Pulsar Timing: Search for discrete 10-nanosecond "ticks" in millisecond pulsars
2026-2028: Medium-Term
CMB-S4: Detect subtle modifications to acoustic peak structure
Euclid Survey: Map weak lensing patterns across thousands of galaxies
Next-Gen Detectors: LIGO/Virgo sensitivity to scalar field modifications
2028+: Long-Term
LISA Space Mission: Gravitational wave dispersion from scalar field
Cosmological Simulations: Full N-body tests of structure formation
Independent Replication: Other groups testing the SPARC analysis
The timeline is remarkably compressed compared to typical physics breakthroughs. Most of these tests use existing or soon-to-be-deployed instruments. The model will either survive this gauntlet and revolutionize our understanding of gravity, or it will join the graveyard of beautiful theories killed by ugly facts.
For the scientific community, this represents an opportunity to engage with a genuinely falsifiable alternative to dark matter. The authors have provided complete code, data, and reproducible pipelines. Independent groups can—and should—attempt to replicate, extend, or refute these results.
Reproduce the Results
GitHub: github.com/jonwashburn/darkmatter
Docker: docker run --rm ilg-validation python ledger_final_combined.py --mode=pure
Paper: Download PDF