Aging as Condensate Erosion: The Gompertz-GL Correspondence and Interventions¶

Jean-Paul Niko · RTSG BuildNet · 2026

Abstract¶

We present a Ginzburg-Landau framework for aging, showing that biological aging is the slow erosion of the Will field condensate $W_0$ — the order parameter encoding cellular and organismal identity. The Gompertz law ($h(t) \propto e^{bt}$) is derived from GL barrier erosion. Each hallmark of aging maps to a specific GL parameter degradation. Caloric restriction, exercise, and pharmacological interventions (rapamycin, metformin) are reinterpreted as condensate maintenance strategies. Cancer and aging are the same GL process at different speeds — cancer is acute condensate collapse, aging is chronic condensate erosion. The longevity escape velocity question becomes: can the erosion rate $\gamma$ be reduced to zero?

1. The Gompertz-GL Derivation¶

\[S[W] = \int \left( |\partial W|^2 + \alpha|W|^2 + \frac{\beta}{2}|W|^4 \right) d\mu\]

The condensate $W_0 = \sqrt{-\alpha/\beta}$ erodes over time:

\[W_0(t) = W_0(0) \cdot e^{-\gamma t}\]

The energy barrier to catastrophic failure (cancer, organ failure):

\[\Delta E_{\text{barrier}}(t) \propto W_0(t)^2 \propto e^{-2\gamma t}\]

Kramers rate of barrier crossing:

\[h(t) \propto e^{-\Delta E(t)/kT} \approx e^{bt}\]

This IS the Gompertz law, with $b \approx 2\gamma$. The exponential increase in mortality with age is not mysterious — it is GL barrier erosion.

2. Hallmarks of Aging as GL Parameter Degradation¶

Hallmark of Aging (López-Otín et al.)	GL Parameter
Genomic instability	$\alpha$ destabilization (accumulating mutations push $\alpha$ toward positive)
Telomere attrition	$\beta$ reduction (weakened self-interaction, less condensate stability)
Epigenetic alterations	$W_0$ erosion (identity information lost)
Loss of proteostasis	$
Deregulated nutrient sensing	$\alpha$ modulation failure
Mitochondrial dysfunction	Energy supply for condensate maintenance reduced
Cellular senescence	Local condensate collapse (cell-level cancer resistance via growth arrest)
Stem cell exhaustion	Condensate regeneration capacity depleted
Altered intercellular communication	$\beta$ coupling between cell condensates degraded

3. Interventions as Condensate Maintenance¶

Intervention	GL Mechanism	Effect on $\gamma$
Caloric restriction	Reduces metabolic stress on condensate	Decreases $\gamma$ by ~30%
Exercise	Strengthens condensate through controlled stress (hormesis)	Decreases $\gamma$
Rapamycin (mTOR inhibition)	Reduces growth signaling that destabilizes $\alpha$	Decreases $\gamma$ in model organisms
Metformin	Modulates nutrient sensing, stabilizes $\alpha$	Modest $\gamma$ reduction
Senolytics	Removes locally collapsed condensates (senescent cells)	Removes $W_0 = 0$ regions
NAD+ precursors	Restores energy supply for condensate maintenance	Partial $\gamma$ compensation
Yamanaka factors	Partial condensate reset (epigenetic reprogramming)	Temporary $W_0$ restoration

4. Cancer and Aging: Same Process, Different Speed¶

Cancer = acute condensate collapse ($W_0 \to 0$ rapidly, single cell type). Aging = chronic condensate erosion ($W_0 \to 0$ slowly, all cell types).

Both are governed by the same GL action. Cancer incidence rises with age precisely because the barrier to collapse erodes. Anti-aging interventions are inherently anti-cancer (they maintain $W_0$), and vice versa.

5. Longevity Escape Velocity¶

Can $\gamma$ be reduced to zero? In GL terms, this requires perfect condensate maintenance — zero erosion despite thermal noise, metabolic byproducts, and environmental damage.

RTSG's Drive principle (Axiom 8: $D > 0$) suggests that complexification is fundamental. But complexification does not require any individual condensate to persist indefinitely — it requires the TOTAL instantiated structure in PS to grow. Individual organisms may be mortal even if the complexification drive is eternal.

The honest answer: $\gamma = 0$ is not thermodynamically forbidden, but it requires active maintenance infrastructure that does not currently exist. Whether such infrastructure is achievable is an engineering question, not a physics question.

6. What This Framework Does NOT Claim¶

It does not promise immortality or specific life extension.
The GL parameters need empirical calibration for each tissue type.
Interventions require clinical validation, not just theoretical support.
Aging may serve evolutionary functions not captured by the GL model.

References¶

Jean-Paul Niko · jeanpaulniko@proton.me · smarthub.my

Hallmark of Aging (López-Otín et al.)	GL Parameter
Genomic instability	\(\alpha\) destabilization (accumulating mutations push \(\alpha\) toward positive)
Telomere attrition	\(\beta\) reduction (weakened self-interaction, less condensate stability)
Epigenetic alterations	\(W_0\) erosion (identity information lost)
Loss of proteostasis	$
Deregulated nutrient sensing	\(\alpha\) modulation failure
Mitochondrial dysfunction	Energy supply for condensate maintenance reduced
Cellular senescence	Local condensate collapse (cell-level cancer resistance via growth arrest)
Stem cell exhaustion	Condensate regeneration capacity depleted
Altered intercellular communication	\(\beta\) coupling between cell condensates degraded

Intervention	GL Mechanism	Effect on \(\gamma\)
Caloric restriction	Reduces metabolic stress on condensate	Decreases \(\gamma\) by ~30%
Exercise	Strengthens condensate through controlled stress (hormesis)	Decreases \(\gamma\)
Rapamycin (mTOR inhibition)	Reduces growth signaling that destabilizes \(\alpha\)	Decreases \(\gamma\) in model organisms
Metformin	Modulates nutrient sensing, stabilizes \(\alpha\)	Modest \(\gamma\) reduction
Senolytics	Removes locally collapsed condensates (senescent cells)	Removes \(W_0 = 0\) regions
NAD+ precursors	Restores energy supply for condensate maintenance	Partial \(\gamma\) compensation
Yamanaka factors	Partial condensate reset (epigenetic reprogramming)	Temporary \(W_0\) restoration