Overview
Two hypotheses have been proposed on this site:
- Gravity is the residual force of atoms stacking together. A tiny fraction — the Ziehr constant (εZ) — of the binding force between adjacent atoms extends past the last atom in the chain. More atoms stacked = stronger gravity. The force is quadrupolar, extending in all three-dimensional directions.
- Time moves slower as physical size decreases. A fly experiences stretched time — the world appears in slow motion at its scale. Larger systems experience faster time. Physical size dictates temporal rate.
This page puts both hypotheses against real, published scientific data. Where does the evidence line up? Where does it diverge? Is there something here, or is it hoopla?
Part 1: Size and Time — The Biological Evidence
If time genuinely moves slower for smaller organisms, we'd expect to see consistent, predictable patterns across all aspects of their biology — not just "faster brains" but fundamentally different temporal experiences. Here's what the data shows.
1.1 Critical Flicker Fusion Frequency
CFF measures how many flashes per second an animal needs to see before a flickering light appears continuous. A higher CFF means the animal is resolving more individual moments per second — it's seeing time in finer grain.
| Animal | Body Mass | CFF (Hz) | Temporal Resolution vs Human |
|---|---|---|---|
| Blow fly | ~0.05 g | 250 Hz | ~4.2x finer |
| Honey bee | ~0.1 g | 200 Hz | ~3.3x finer |
| Pigeon | ~300 g | 143 Hz | ~2.4x finer |
| Chicken | ~2 kg | 87 Hz | ~1.5x finer |
| Dog | ~20 kg | 80 Hz | ~1.3x finer |
| Human | ~70 kg | 60 Hz | 1.0x (baseline) |
| Leatherback turtle | ~400 kg | 15 Hz | ~0.25x (coarser) |
Source: Healy K, McNally L, Ruxton GD, Cooper N, Jackson AL (2013). "Metabolic rate and body size are linked with perception of temporal information." Animal Behaviour, 86(4):685-696. CFF values from systematic review across 156 species (PLOS ONE, 2022).
1.2 Heart Rate Scaling
If time is stretched for smaller organisms, their entire biology should operate at a different tempo — not just their eyes. Heart rate is a direct measure of biological tempo.
| Animal | Body Mass | Heart Rate (BPM) | Ratio vs Human |
|---|---|---|---|
| Etruscan shrew | 1.8 g | 1,500 | 21x |
| Mouse | 20 g | 600 | 8.6x |
| Rat | 300 g | 350 | 5x |
| Cat | 4 kg | 150 | 2.1x |
| Human | 70 kg | 70 | 1.0x |
| Horse | 500 kg | 36 | 0.5x |
| Elephant | 5,000 kg | 30 | 0.4x |
| Blue whale | 150,000 kg | 6 | 0.09x |
The scaling follows a precise mathematical law:
This is Kleiber's quarter-power scaling. It's not approximate — it holds across 6 orders of magnitude of body mass, from 2-gram shrews to 150-tonne whales.
1.3 The Billion Heartbeats
Here's the most striking piece of evidence:
| Animal | Lifespan (years) | Heart Rate (BPM) | Total Heartbeats |
|---|---|---|---|
| Shrew | ~2 | 1,300 | ~1.4 billion |
| Mouse | ~3 | 600 | ~0.95 billion |
| Rabbit | ~9 | 205 | ~0.97 billion |
| Dog | ~13 | 100 | ~0.68 billion |
| Horse | ~30 | 36 | ~0.57 billion |
| Elephant | ~70 | 30 | ~1.1 billion |
1.4 Reaction Time Scaling
If smaller organisms experience stretched time, they should appear to have impossibly fast reactions from our perspective.
| Animal | Body Mass | Reaction Time |
|---|---|---|
| Long-legged fly (Condylostylus) | ~0.01 g | < 5 ms |
| Housefly | ~0.05 g | ~20 ms |
| Cockroach | ~1 g | ~11 ms |
| Startle fish | ~10 g | 5-10 ms |
| Hummingbird | ~4 g | 30-80 ms |
| Cat | ~4 kg | 20-70 ms |
| Human | ~70 kg | 150-250 ms |
Part 2: Mass and Time — The Physics Evidence
If gravity is the residual force of atomic stacking, and if more mass (more atoms) means a different time rate, then we should see time dilation scale with mass — which it does.
2.1 GPS Time Dilation (Measured Daily)
GPS satellites orbit at 20,200 km altitude. Their atomic clocks gain +45 microseconds/day due to weaker gravity (less mass stacking below them), and lose -7 microseconds/day due to velocity (special relativity). Net: +38 microseconds/day. Without this correction, GPS would drift by ~10 km per day.
In the stacking framework: at orbital altitude, fewer atomic stacking chains project through the satellite's location. The effective scale is smaller. Time runs faster. On the ground, you're embedded in the residual force field of 6,371 km of stacked atoms beneath you. The effective scale is larger. Time runs slower.
2.2 The Pound-Rebka Experiment (1959)
At Harvard, gamma rays were fired up and down a 22.5-metre tower. The rays measured at the top had a slightly higher frequency than those at the bottom — a fractional shift of -2.1 × 10-15, matching General Relativity to within 10%.
In stacking terms: the bottom of the tower is 22.5 metres closer to Earth's centre — 22.5 metres more atomic stacking chains projecting through that point. The residual force field is minutely stronger at the bottom. Time ticks minutely slower. The gamma ray's frequency shifts accordingly.
2.3 GRACE Satellite Gravity Mapping
NASA's GRACE and GRACE-FO missions map Earth's gravitational field by measuring the distance between twin satellites to 10-micrometer precision over a 220 km separation. The resulting maps show gravity anomalies — regions where gravity is slightly stronger or weaker than expected.
Gravity anomalies map to mass distribution. Denser regions (mountain roots, dense ocean floor) show stronger gravity. Post-glacial rebound regions show weaker gravity (mantle hasn't fully recovered).
Gravity anomalies map to stacking density. Regions with more tightly packed atoms (denser rock, thicker crust) have more stacking chains projecting upward, creating stronger residual force. Post-glacial regions have fewer atoms stacked per unit area above the mantle.
2.4 Gravitational Waves (LIGO)
In 2015, LIGO detected gravitational waves from merging black holes. GR predicted the waveform; the detection matched. The stacking framework interprets these waves as rapid fluctuations in the residual force field caused by violent reorganization of atomic stacking during the merger.
Part 3: Where the Theories Combine
The two hypotheses aren't independent. They connect:
Atoms stack → creates larger system → changes time rate
Therefore: gravity and time dilation have the same root cause — atomic accumulation
This is the unified claim: one mechanism (atoms stacking) produces two effects (gravity and time dilation). Here's where the combination makes unique predictions:
3.1 The Quarter-Power Bridge
In biology, time-related variables (heart rate, metabolic rate, lifespan) scale with body mass to the power of ±0.25. In physics, gravitational potential scales with mass and distance. If both arise from atomic accumulation, the quarter-power scaling in biology might be a biological expression of the same geometric principle that governs gravity — the way stacking chains sum in three dimensions.
3.2 Material Structure and Gravity
Standard GR says gravity depends only on total mass and distance. The stacking theory says gravity depends on how atoms are arranged — because stacking geometry affects how residual forces sum. This creates a unique, testable prediction:
Two objects of identical mass but different crystal structures should produce minutely different gravitational fields. A perfect crystal (atoms in regular rows = maximally aligned stacking chains) should produce marginally more gravity per unit mass than an amorphous glass (random arrangement = less coherent stacking). The difference would be extraordinarily small — perhaps parts per billion — but future experiments with atom interferometry or torsion balances might detect it.
3.3 Density vs. Diffuse Mass
A compressed solid and a diffuse gas cloud of the same total mass should produce slightly different gravitational time dilation at the same distance. GR predicts identical time dilation (outside the mass distribution, the Schwarzschild solution depends only on total mass). The stacking theory predicts a tiny difference because the stacking geometry differs — compressed atoms have shorter, denser chains while diffuse atoms have longer, weaker chains.
3.4 Size-Dependent Time at Non-Biological Scales
Nano-scale mechanical oscillators should exhibit timing anomalies not predicted by standard physics. If time rate genuinely depends on physical size (not just biological processing), then a nanometre-scale mechanical clock should tick at a different rate than a centimetre-scale clock of identical design, even after accounting for all known physical effects. The difference would be tiny but might be detectable with current atom-chip technology.
Part 4: Honest Scorecard
How does each theory hold up against the data?
Theory 1: Gravity = Atomic Stacking Residual Force
| Evidence | Compatible? | Distinctive? |
|---|---|---|
| GPS time dilation (+38 μs/day) | Yes | No — same prediction as GR |
| Pound-Rebka (-2.1×10⁻¹⁵) | Yes | No — same prediction as GR |
| GRACE gravity mapping | Yes | No — same pattern as GR |
| Gravitational waves (LIGO) | Yes | No — same prediction as GR |
| Gravity weakness (10⁻³⁸ ratio) | Yes — naturally explained as residual fraction | Partially — provides a mechanism GR doesn't |
| Crystal vs. amorphous gravity | Predicts tiny difference | Yes — GR predicts zero difference |
Theory 2: Time Moves Slower at Smaller Scales
| Evidence | Compatible? | Distinctive? |
|---|---|---|
| CFF scaling (fly 250 Hz → turtle 15 Hz) | Yes | Partially — alternative: neural speed |
| Heart rate scaling (M⁻⁰·²⁵) | Yes | Partially — alternative: metabolic networks |
| Billion heartbeats constant | Yes — naturally explained | Yes — hard to explain otherwise |
| Reaction time scaling | Yes | Partially — distance argument covers some |
| Lifespan scaling (M⁰·²⁵) | Yes | Partially — alternative: oxidative damage |
| Quarter-power universality | Yes | Suggestive — shared exponent across systems |
Part 5: The Bottom Line
Is it hoopla?
No. Both theories are consistent with real, published scientific data. Neither is contradicted by any existing observation. The biological scaling evidence is strong enough that the size-time hypothesis deserves serious consideration — the data patterns are well-documented by mainstream science, and this theory provides a clean, unified explanation for all of them.
Is it proven?
Not yet. The stacking gravity theory currently makes the same large-scale predictions as General Relativity, so existing experiments can't distinguish between them. The size-time theory has strong correlational support from biology but hasn't yet been tested in a non-biological system. Both theories need a decisive experiment.
What would prove it?
- Crystal vs. amorphous gravitational measurement — if different material structures produce different gravitational fields at the same mass, the stacking theory is validated and GR needs modification
- Nano-scale clock anomaly — if a nanometre-scale mechanical oscillator ticks at a rate inconsistent with standard physics predictions, the size-time theory gains direct physical (not biological) evidence
- Precision time dilation near different-density objects — if two objects of the same mass but different densities produce measurably different time dilation, both theories are supported simultaneously
What's the strongest piece of evidence right now?
The billion-heartbeat constant. It's real, it's measured across hundreds of mammal species, and it's very difficult to explain without invoking some form of scale-dependent time. Standard biology explains it as a consequence of metabolic scaling networks. This theory explains it more directly: all mammals get the same number of heartbeats because all mammals experience the same amount of time — just at different rates determined by their size.
Sources
- Healy K, McNally L, Ruxton GD, Cooper N, Jackson AL (2013). "Metabolic rate and body size are linked with perception of temporal information." Animal Behaviour, 86(4):685-696.
- West GB, Brown JH, Enquist BJ (1997). "A General Model for the Origin of Allometric Scaling Laws in Biology." Science, 276(5309):122-126.
- Inger R et al. (2022). "A flashing light may not be that flashy: A systematic review on critical fusion frequencies." PLOS ONE.
- Savage VM et al. (2004). "The predominance of quarter-power scaling in biology." Functional Ecology, 18(2):257-282.
- Levine RJ (1997). "Rest heart rate and life expectancy." Journal of the American College of Cardiology.
- Verlinde E (2011). "On the Origin of Gravity and the Laws of Newton." JHEP.
- Sakharov A (1967). "Vacuum Quantum Fluctuations in Curved Space." Doklady, 12:1040-1041.
- NASA/JPL. "Gravity Anomaly Map Using GRACE Data." GRACE-FO.
- Pound RV, Rebka GA (1959). "Gravitational Red-Shift in Nuclear Resonance." Physical Review Letters, 3(9):439-441.
- Shamble PS et al. (2017). "Faster than a Flash: The Fastest Visual Startle Reflex." Florida Entomologist.