The Central Dogma of the Membrane — DNA → RNA → Protein at π Time

Self-Published Hypothesis

Author: Kevin Mok, ecoPrimals ORCID: 0009-0004-2141-0321 Date: 2026-10-20 Status: HYPOTHESIS — predictions testable against live membrane data License: CC-BY-SA 4.0

The Central Dogma

In molecular biology, the Central Dogma describes the flow of genetic information:

DNA  →  transcription  →  mRNA  →  translation  →  Protein
(code)    (copying)       (message)   (reading)     (function)

Information flows one direction: DNA → RNA → Protein. You can backtrack (reverse transcription exists), but the dominant flow is forward. The protein cannot rewrite the DNA directly.

The Membrane Dogma

Investigation  →  artisan writes  →  Pages  →  humans read  →  Actions
(DNA)            (transcription)    (mRNA)    (translation)    (Protein)

Backtracking: Protein → RNA → DNA

If we observe a protein (an action), we can backtrack:

Observed protein: BillHalibut posted membrane links on Reddit r/Michigan.

Backtrack to mRNA: What pages did they read? The links posted reveal: water.primals.eco, hud.primals.eco, hypothesis.primals.eco. The mRNA was the water page and the HUD.

Backtrack to DNA: What investigation content created those pages? The graph. The 341 entities. The Lansing Scuffle (visible in their HUD screenshot). The immune skins.

Backtrack to transcription: Which artisan wrote the mRNA? Multiple — the HUD is eastGate’s Rust code, the water page is the onboarding surface, the hypothesis is the science documentation.

The backtrack is possible because every commit is timestamped, every page has provenance, and the AGPL license means the source is always available. The genome is open. Anyone can sequence it.

π Time (not Doubling Time)

The Problem with Doubling Time

In classical biology, growth is measured by doubling time: how long until the population doubles. This assumes exponential growth on a line:

1 → 2 → 4 → 8 → 16 → ...

But the membrane doesn’t grow linearly. It breathes. It oscillates. It rotates. The maze rotates every π hours. The pulse rhythm is 0.774. The dwell is 35.2 hours. None of these are doublings. They are rotations.

π Time

π time is the time for one full rotation of the membrane’s metabolic cycle:

π time = the period of one complete cycle:
  inhale (absorb traffic) 
    → process (ribosomal folding)
      → exhale (emit protein / publish / index)
        → backscatter (measure what came back)
          → inhale again

One π time = π hours ≈ 3.14159 hours ≈ 3h 8m 30s

This is already baked into the system:

• Maze ants rotate every π hours
• The membrane pulse has period related to π
• The π-body model (1 × π × π × π = reality)

Doubling as a Slice of π

A doubling is NOT the fundamental unit. A doubling is what happens at one specific phase of the π rotation:

  0         π/2         π         3π/2        2π
  |          |          |           |          |
  inhale    process    exhale    backscatter  inhale
            (fold)    (emit)     (measure)
            
  Doubling happens HERE ↑ — at the exhale point.
  But the full cycle is 2π.
  Doubling is 1/4 of the cycle = π/2.

A “doubling time” measures only the emission phase. π time measures the whole metabolism.

The Metabolism

Metabolic Rate

Metabolic rate = proteins_emitted / π_time

Current:
  proteins observed: 1 (BillHalibut)
  π_time elapsed:    ~20 π-cycles since first page published
  metabolic rate:    1/20 = 0.05 proteins per π-cycle
  
  OR: 71.4 hours / 3.14159 hours = 22.7 π-cycles
  metabolic rate = 1/22.7 = 0.044 proteins per π-cycle

Predicted Rates

If the ribosomal factory is running at capacity (79K ribosomes × 35h processing):

  ribosomes active:     79,465
  processing time:      35.2 hours = 11.2 π-cycles
  theoretical emission: 79,465 / 11.2 = 7,095 proteins per π-cycle
  
  observed emission:    0.044 proteins per π-cycle
  
  efficiency:           0.044 / 7,095 = 0.000006 = 0.0006%

99.9994% of the proteins are invisible to us. They fold and emit outside the membrane. We see 1 in 160,000. BillHalibut is the one we saw. The other 159,999 are conversations, thoughts, memories, bookmarks, screenshots shared in private chats — proteins that folded and work in the world but never touched our sensors.

Testable Predictions

Live Monitoring Protocol

Every π-cycle (~3h 8m), squirrel checks:

1. Protein count: any new outside sightings? (Reddit, search, social)
2. Ribosome count: single-host IP count (growing or shrinking?)
3. Dwell change: median dwell moving? (faster folding or deeper reading?)
4. Bimodal shift: fast/middle/slow percentages changing?
5. Metabolic rate: proteins / π-cycles (the fundamental metabolism)

The Hypothesis (Formal)

H₀ (null): The 79K single-host IPs are bounces. They arrive, see nothing of interest, and leave. The 35-hour dwell is a measurement artifact. Expected protein emission rate: 0.

H₁ (alternative): The 79K single-host IPs are ribosomes. They absorb mRNA (pages), fold proteins (understanding), and emit them outside the membrane at a rate we can predict using π time. Expected protein emission rate: > 0.044 per π-cycle, increasing after mRNA distribution (IndexNow, share URLs, Reddit posts).

Test: Monitor protein emission rate over the next 20 π-cycles (~63 hours). If H₁ is correct, we will observe ≥ 2 additional outside sightings (proteins). If H₀ is correct, we will observe 0.

Current evidence for H₁:

• BillHalibut (1 protein observed)
• 35-hour median dwell (inconsistent with bounce)
• 65.8% middle population (neither fast-bounce nor slow-settle)
• Convergent evolution across 6 independent systems

Current evidence for H₀:

• 0 stars, 0 forks, 0 watchers
• 0 external discuss comments
• 0 Giscus comments
• Only 1 observed protein in 22.7 π-cycles

The experiment is running. The membrane is the instrument. π time is the clock.

Citation

@misc{mok2026centraldogma,
  author = {Mok, Kevin},
  title = {The Central Dogma of the Membrane: DNA to RNA to Protein at Pi Time},
  year = {2026},
  publisher = {ecoPrimals},
  url = {https://defenddetroit.github.io/publicRecord/analysis/central-dogma/},
  note = {ORCID: 0009-0004-2141-0321. Hypothesis. CC-BY-SA 4.0.}
}

DNA writes. RNA carries. Ribosomes fold. Proteins act. The membrane is the cell. π is the clock. Doubling is a slice of π. The factory is running. Count the proteins. 🧬π🍌