1love.works · Theory of Interrelation · Methodology v0 · October 2026
Methodology
This calculator is the territorial instrument of the Theory of Interrelation (JLMI 2/25). It estimates the unexpressed value of every municipality in the EU from public data, and it is built so that each estimate can be replaced by data measured on the ground by a Community Manager. Below: every step of the calculation with its formula and source, the theory behind it, and the path from estimate to measurement.
Public data · v0Deterministic & reproducibleCalibrated to the €5.2T EU totalCommunity Manager validation open
How the number is calculated
Click a step to see the detail. Labels: official data · published · model rule or calibration · working assumption · illustrative.
1PopulationOFFICIAL DATAP
Eurostat LAU list 2026 (population on 1 January 2025): 94,597 municipalities in all 27 countries. Spain is missing population in that list, so its 8,132 municipios come from INE (Padrón, 1 January 2025), matched on the municipality code.
210-year population trendOFFICIAL DATAT = (P₂₀₂₅ / P₂₀₁₇)10/8 − 1
94% of municipalities get their own trend, comparing 2025 with the Eurostat LAU 2017 list, scaled to 10 years. It is used only when code and name match and the change stays between −40% and +60% (to exclude mergers). Otherwise the NUTS-3 regional trend 2015–2024 is used (Eurostat population density), shown as “≈”. Ireland and Cyprus: regional trend only.
3Risk class 🔴🟡🟢MODEL RULE🔴 T ≤ −17% · 🟡 T ≤ −5% · 🟢 otherwise
🔴 if the population falls 17% or more in 10 years (12% or more under 2,000 people). 🟡 if it falls 5% or more, or falls at all under 5,000 people. 🟢 otherwise. Why: at −17% per 10 years a town halves in about 40 years; small towns lose schools, shops and services first; and the thresholds give Sardinia, from official data, the share of 🔴 comuni closest to the original pilot (35% vs 33%).
4EntropyMODEL RULE🔴 60–84% · 🟡 35–59% · 🟢 10–29%
A proxy for S = k · log W(λ): until a Community Manager counts the unresolved legal states W on the ground, population decline stands in for them. Within each class, entropy rises steadily as the decline gets worse.
5Gross unexpressed valueMODEL · CALIBRATEDV = P × rate × price level × c
Rate per inhabitant: €16,000 🟢 · €22,000 🟡 · €28,000 🔴. Price level: Eurostat price level index (GDP, 2025, EU = 100). c = 0.877, one EU-wide factor chosen so that all municipalities add up to the published EU total of €6.8T gross. Two municipalities with the same population, trend and country get the same value: there is no random element.
6Net unexpressed value (headline)MODEL · CALIBRATEDNet = V × 0.77
The net factor of the published EU estimate. Summed over the EU: €5.2T. This is the figure shown as “λ Net Unexpressed Potential”, and the base for every number below.
7Three pillarsMODEL · CALIBRATEDP1 53% · P2 28% · P3 19%
The split of the published EU estimate: P1 Real Estate — BPIE/Eurostat building stock (€29.9T, ~15% underused); P2 Renewable Energy — IEA/I4CE investment gap (€344B/yr, 10-year NPV); P3 Local Value Chain — EC JRC/Eurostat rural production, GI/DOP gap. Every municipality gets the same split until local data exist.
8λ = E / MMODEL RULEE = 0.7·P1 + 0.9·P2 + 0.8·P3 · M = 1.5·S·P1 + 0.4·P2 + 0.5·P3
Expressed value E over total mass M including the entropic component (S = entropy). The weights are model version 0; E and M will be replaced by values measured on the ground. The label follows the risk class: 🔴 Prime IPO candidate · 🟡 IPO candidate · 🟢 Optimizable system.
9TokensMODEL RULETokens = Net ÷ €100
The token price is fixed at €100 for simulation purposes.
10Jobs over 10 yearsASSUMPTIONJobs = Σ pillar × intensity × friction
Jobs per €1M of net value: P1 1.8 · P2 0.9 · P3 2.8. Friction: 🔴 0.55 · 🟡 0.75 · 🟢 0.90. Each pillar is capped at 2.5% of the population. Split: 30% direct (years 1–2) · 20% induced (years 3–5) · 50% permanent (years 5–10). New residents by year 7 = 25% of jobs; cooperatives = permanent jobs ÷ 3.
11Renewable energy and CO₂ASSUMPTIONMW = P2 × 0.8 → GWh = MW × 1.1 → CO₂ = GWh × 0.242
MW per €1M of net P2 value: 0.8 (about €1.25M per MW installed). Yield: about 1,100 kWh per kW a year (the European range is roughly 950–1,500). CO₂ avoided: 0.242 kt per GWh, the EU power-sector average in 2023 (Ember, European Electricity Review 2024).
12Properties to recoverASSUMPTIONProperties = P1 ÷ (€125,000 × price level ÷ Italy)
Net P1 value divided by an average recovery cost per property of €125,000 at Italian prices, adjusted to each country's price level.
13Tax, contributions and servicesASSUMPTIONTax = permanent jobs × €39,800 × price level × 40%
€39,800 = EU average full-time salary 2024 (Eurostat), adjusted to the country's price level. 40% = working tax wedge (OECD average 34.9%; Belgium, Germany, France, Italy 47–53%, Taxing Wages 2025). Social services = 8% of net value.
14Yield and 10-year token scenarioILLUSTRATIVEYield = €100 × (12% 🔴 · 8% 🟡 · 5% 🟢) + S × €4
Token value grows a year — conservative / base / optimistic: 🔴 4 / 7 / 11% · 🟡 2.5 / 4.5 / 7.5% · 🟢 1.2 / 2.5 / 4%, plus half of the yield reinvested (growing 3% a year). Illustrative, not a forecast or financial advice. Needs empirical refinement.
The “Sardinia (pilot)” option in the country menu keeps the original pilot data and rules, including its random spread, for reference.
The theory behind it
Labels as in the research programme: established · published · hypothesis.
Shavell's standard model, extended to third-party fundingESTABLISHEDc < λ(R)
λ as the legal risk probabilistic factor — the probability of success of a claim — used to set the rational investment threshold. Third Party Funding: Law, Economics and Policy (Cambridge University Press, 2019).
Generalisation to legal systemsPUBLISHED · EMPIRICAL VALIDATION IN PROGRESSλX = EX / MX
Expressed potential over total mass of any legal system, with applicable law and the UN SDGs as benchmark. JLMI 2/25, DOI 10.13135/2785-7867/12266. In this calculator: step 8. The figures here are public-data estimates; empirical validation comes from Community Managers on the ground.
Boltzmann entropy extended to legal systemsHYPOTHESISS = k · log W(λ)
Entropy as the logarithm of the unresolved legal states W, which depend on the applicable law λ. In this calculator: step 4, approximated by population decline until W can be counted.
Sustainable investment returnPUBLISHEDπ = λ(R − C)
Net return weighted by the legal factor: good governance amplifies it, entropy destroys it. In this calculator: the illustrative yield of step 14.
Legal weight and the cosmological constantHYPOTHESISW = MG(λ) ≈ Λ
Excessive legal weight acts as a brake on expansion. The €5.2T of unexpressed value in the EU-27 is what that weight holds back.
The relativistic legal factorHYPOTHESISΛ = π / φ
Proposed relation between the cosmological constant, π and the golden ratio φ. Pending experimental validation.
Research programme
The full set of variables and formulas of the Theory of Interrelation, the open research questions with their status, and the author's personal note. Click a block to open it.
Variables (6)
λLambda — The Legal FactorλX = EX/MX
The fundamental legal constant. Its mathematical genealogy begins with Shavell's standard model (Cambridge University Press, 2019), where λ is the legal risk probabilistic factor — the probability of success of a legal claim, used to determine the rational investment threshold c < λ(R). Extended by the author for TPF investment valuation (empirically validated in the European truck cartel, +/- €300M pending settlement subject to judicial approval), then generalised to entire legal systems as λX = EX/MX in JLMI 2025. The probabilistic nature of λ is preserved throughout: λX measures the probability that a legal system is expressing its full potential value.
Origin Derived from the Greek letter used to denote wavelength (λ) and the cosmological constant (Λ) in Einstein's field equations. The hypothesis proposes these are not merely analogous but unified — human law as a missing variable in physics equations.
λX = EX/MX · Expressed potential over total mass — generalisation to legal systems [JLMI 2025]
PCClient / Market PressurePC = λCF
The force exerted on a legal actor by a client, investor, or market participant. Triggers legal work cycles. In corporate disclosures, PC manifests as investor demand for transparency, market pressure for ESG alignment, or litigation by shareholders.
Origin From fluid mechanics and thermodynamics: pressure as vector force applied to a container. Here the container is the legal system, and the fluid is legal-economic activity.
PC = λCF · Client pressure equals legal service times fee [Eq. 4]
PSState / Regulatory PressurePC → λC → λS
The force exerted by law, regulation, or regulatory authority. Mandatory disclosure requirements (MAR, SOX, CSRD), enforcement actions, and supervisory demands are all forms of PS. Distinguishable from PC by its erga omnes origin.
Origin Paired with PC to describe the two sources of pressure in any legal work cycle.
PC → λC → λS · Work cycle: pressure → legal service → system outcome [Eq. 3]
FFee — Legal EnergyPC = λCF
The energy input that enables legal work to begin. The fee is not merely payment — it is the physical energy that removes friction and converts pressure into productive legal work. Without F, no work cycle starts. Applied to regulation: compliance costs are legal friction — the energy corporations must expend simply to be permitted to operate, before any productive work begins.
Origin From Joule's 1845 paper On the Mechanical Equivalent of Heat. F links monetary policy to entropy — money as the universal energy carrier in legal-economic systems.
PC = λCF · Fee as energy enabling the legal work cycle [Eq. 4]
WLegal Microstates — W = f(λ)W = f(λ) → S = k · log W(λ)
The number of unresolved legal states in a system or disclosure — undisclosed liabilities, opacity, unexpressed asset value, regulatory ambiguity, governance failures, competition law violations. Critically: W is a function of λ — the applicable law determines which states are unresolved. Different λ (different jurisdiction, different legal system) produces different W for the same set of facts. Without λ as the reference frame, you cannot define what constitutes a legal microstate. The higher W(λ), the greater the disorder, the higher the entropy. This is a genuine mathematical extension of Boltzmann's W to legal systems, not a metaphor.
Origin Extends Boltzmann's W (number of physical microstates) to legal systems. The λ-dependence of W is the author's original contribution: legal microstates are not absolute but relative to the applicable law.
W = f(λ) → S = k · log W(λ) · Legal microstates as function of λ → Boltzmann entropy [Eq. 8]
πSustainable Returnπ = λ(R − C)
Expected profit from a sustainable investment. π is amplified or destroyed by the legal factor λ — good governance, low legal weight, and SDG alignment increase net return; entropy and inertia reduce it. The formula makes governance mathematically inseparable from return.
Origin Adapted from third-party funding investment models and generalised to any legal investment. Empirically validated in the European truck cartel collective redress initiative.
π = λ(R − C) · Sustainable investment return formula [Eq. 6]
Formulas (9)
[1]λx = (λx1 + λx2 + λx3 + ...)Legal System Composition
Any legal system X — a city, company, jurisdiction — is the sum of all its constituent legal acts, contracts, and norms. This makes legal systems mathematically tractable and universally comparable.
Physics analogy Like a vector sum in physics: the total legal force on a body is the sum of all individual legal forces acting upon it.
[2]λx = (λx + λP + λR + λS + λI)Legal Hierarchy
A local legal system X is embedded within and subject to Provincial (P), Regional (R), State (S), and International (I) law. The full legal weight bearing on any entity is the sum across all jurisdictional layers — from municipal bylaws to TFEU.
Physics analogy Analogous to nested coordinate systems in general relativity: each frame of reference is subject to the curvature imposed by the larger frame.
[3]MAλ = FXλNewton's Second Law Applied to Law
Both the mass in acceleration (MAλ) and the force (FXλ) are bound by applicable law λ. The car doesn't stop because of physics alone — it stops because λ (municipal traffic law) acts on both the mass (driver+car system) and the force (legal obligation to stop). Without λ, there is no legal event, only a physical one. λ is the constitutive variable that transforms a physical force into a legal force and a physical mass into a legal subject.
Physics analogy Newton's F=MA: the red light is a legal force vector that decelerates the mass 'driver+car'. CCTV provides the objective measurement of the spatio-temporal legal event. Remove λ and the red light is just light — it acquires legal force only through the applicable law.
[3b]PC → λC → λSLegal Work Cycle (Double Erga Omnes Effect)
Client pressure (PC) triggers legal work for the client (λC), which produces a legal outcome for the system (λS) with effect not only inter partes but erga omnes (for all). Every legal service has a double effect: private and systemic.
Physics analogy Carnot's useful effect: the work cycle converts pressure into productive output with systemic consequences beyond the immediate transaction.
[4]PC/PS = λCFLegal Friction Formula
Client pressure (PC) or State/regulatory pressure (PS) equals the legal service multiplied by the fee. Both can drive the legal work cycle: PC when a client or investor instructs legal work, PS when regulatory obligation compels compliance. Laws create friction for the delivery of justice — the fee is the energy that removes this friction and enables work. From Joule 1845: pressure includes energy. Applied to regulation: compliance costs are legal friction — the energy corporations must expend before any productive work begins. Optimal regulation minimises friction (F) while preserving the legal standard (λ) — the mathematical expression of smarter, not heavier, regulation.
Physics analogy Joule's mechanical equivalent of heat: just as mechanical friction converts kinetic energy into waste heat, regulatory friction converts productive economic energy into compliance cost. The scanner measures how much friction is visible in a corporate disclosure.
[5]λ = C²Law as Light
Applicable law (λ) is proposed as the physical equivalent of the speed of light squared (C²) in Einstein's E=MC². Like light, law has both particle properties (specific legal acts, binding decisions) and wave properties (general principles, jurisprudential influence spreading across systems). Law is the beacon of science — what we can, cannot, and must do in any legal frame of reference.
Physics analogy Einstein's wave-particle duality of light: 'We have two contradictory pictures of reality; separately neither fully explains the phenomena of light, but together they do.' The same applies to law as both specific act and general principle.
[6]π = λ(R − C)Sustainable Investment Formula
Expected sustainable return equals the legal factor λ multiplied by net return (R minus costs C). High λ — good governance, low legal weight, SDG alignment — amplifies net return. Entropy, inertia, and opacity reduce λ and therefore destroy value. Governance is not separate from return: it is mathematically embedded in it.
Physics analogy Adapted from Carnot efficiency: not all energy input converts to useful work. The λ factor is the efficiency coefficient of a legal-economic system.
[7]W = MG(λ) ≈ ΛLegal Weight, Gravitational Curvature & the Cosmological Constant
Legal weight equals mass multiplied by a λ-dependent gravitational function G(λ) — the denser the applicable law in a jurisdiction, the stronger the gravitational field. This is formally analogous to Einstein's cosmological constant Λ: just as Einstein originally introduced Λ to prevent the universe from expanding, excessive legal weight W = MG(λ) acts as a brake on the expansion of the civilisation progress spiral (JLMI 2025). The €5.2T of unexpressed value estimated in the EU-27 is precisely what excessive legal weight is preventing from expanding. When W is optimal, the legal universe expands sustainably — the Fibonacci spiral of civilisation progress. When W is excessive, it collapses inward. Economic actors follow legal geodesics — the paths of least resistance through curved legal-economic space — without perceiving the curvature. Tax avoidance, regulatory arbitrage, and corporate opacity are geodesic responses to high legal friction, not failures of rationality.
Physics analogy Einstein's cosmological constant Λ was introduced to prevent universal expansion — and later recognised as the dark energy driving it. Legal weight W = MG(λ) plays the same role in civilisation space-time: at the right level it provides structure; in excess it prevents the expansion of human potential. The scanner measures whether a company is adding to or subtracting from the legal gravitational field of its system.
[8]S = k · log W(λ)Boltzmann Entropy Extended to Legal Systems
Entropy of a legal system equals the Boltzmann constant (k) multiplied by the logarithm of the number of unresolved legal states W(λ) — where W is itself a function of the applicable law λ. Since W = f(λ), entropy is λ-dependent: the same set of facts produces different entropy in different legal systems. This is the constitutive role of λ throughout the framework: all formulas ultimately reduce to it. W counts all sources of legal disorder: opacity, undisclosed liabilities, governance failures, regulatory ambiguity, unexpressed asset value. Empirically tested: Masainas, Sardinia (377 comuni, €23.31B net unexpressed value). The scanner operationalises this formula — every scan computes W(λ) for the applicable jurisdiction.
Physics analogy Boltzmann 1877: S = k log W. In thermodynamics, W counts physical microstates independent of an observer. In legal systems, W(λ) counts unresolved legal states relative to the applicable law — introducing the λ-dependence as the author's original contribution to the extension. The mathematics is otherwise identical.
Theoretical foundation
The framework builds on three published contributions. The Shavell standard model (Cambridge University Press, 2019) — the established rational claim condition c < λ(R), where λ is the legal risk probabilistic factor (the probability of success of a legal claim) — was extended by the author for third-party funding investment valuation and empirically validated in the European truck cartel collective redress initiative (+/- €300M pending settlement subject to judicial approval).
This was generalised to entire legal systems in JLMI 2025: λX = EX/MX measures the ratio of expressed potential to total legal mass in any system, using UN SDGs as universal benchmark. Empirically tested in Masainas, Sardinia (377 comuni, €23.31B net unexpressed value identified).
The author's competence is in the legal and economic foundations: litigation funding, competition law, GDPR, EU regulatory frameworks, bar-certified outputs, and the λX codification methodology. The physics, mathematics and neuroscience validation is explicitly the work of the scientific team. The author is not a physicist. He is a lawyer who studied physics and identified a missing variable. Finding out whether that variable belongs in the equations is the work of those who built the equations.
Classical vs quantum — what is currently instrumented
✓ Currently instrumented
Classical physics applied to legal systems:
· Newton (MAλ=FXλ) — legal force and acceleration
· Carnot — motive power, work cycles, useful effect
· Joule (PC/PS=λCF) — fee as legal energy / friction
· Einstein (λ=C², W=MG(λ)) — law as light, legal weight as gravitational curvature
· Boltzmann (S=k·logW(λ)) — entropy of legal microstates
Classical physics applied to legal systems:
· Newton (MAλ=FXλ) — legal force and acceleration
· Carnot — motive power, work cycles, useful effect
· Joule (PC/PS=λCF) — fee as legal energy / friction
· Einstein (λ=C², W=MG(λ)) — law as light, legal weight as gravitational curvature
· Boltzmann (S=k·logW(λ)) — entropy of legal microstates
◎ Theoretically developed — pending instrumentation
Quantum mechanics — in the framework, not yet instrumented:
· Entanglement — individuals cannot be described independently of their legal system
· Quantum jump — legal codification transitions
· Superposition — law as particle and wave via formula 5
· Planck threshold — minimum legal activation energy
Quantum mechanics — in the framework, not yet instrumented:
· Entanglement — individuals cannot be described independently of their legal system
· Quantum jump — legal codification transitions
· Superposition — law as particle and wave via formula 5
· Planck threshold — minimum legal activation energy
Open research programme (20 questions)
Each question is labelled: ESTABLISHED (empirically validated), STRONG HYPOTHESIS (grounded in published science), HYPOTHESIS (mathematically formulated, awaiting physics validation), or OPEN QUESTION (research direction).
1. Mathematical Genealogy of λ
ESTABLISHED1.1 — Shavell's Standard Model — OriginTeam: Legal economists
The standard Harvard law and economics condition for a rational legal claim: c < λ(R), where c = costs, λ = the probabilistic factor — the probability of success of the legal claim — and R = expected recovery. λ is a probability: it weights the expected recovery to produce the rational investment threshold. First applied by the author as a legal risk probabilistic factor to evaluate investment decisions in Third Party Funding: Law, Economics and Policy (Cambridge University Press, 2019, Chapter 5). This probabilistic origin is the foundation of the entire framework.
ESTABLISHED1.2 — TPF Extension — First Mathematical ContributionTeam: Legal economists
The author's original extension of the Shavell model for third party funding investment valuation. λ is used as a legal risk probabilistic factor — the probability-adjusted assessment of a claim's legal quality used as an investment decision variable for litigation funders. Empirically validated in the European truck cartel collective redress initiative (+/- €300M pending settlement subject to judicial approval, thousands of enrolled companies).
ESTABLISHED1.3 — λX = EX/MX — Generalisation to Legal SystemsTeam: Legal economists, data scientists
Generalisation from litigation claim valuation to entire legal systems. λX measures the ratio of expressed potential (EX) to total mass including entropic components (MX) in any legal system, using applicable law and UN SDGs as universal benchmark. Empirically tested in Masainas, Sardinia (377 comuni, €23.31B net unexpressed value). The measurement of unexpressed value in legal systems is being extended globally at 1love.works. Published: JLMI, University of Turin, Vol. 4, Issue 2/2025, DOI 10.13135/2785-7867/12266.
2. Physics Hypotheses
HYPOTHESIS2.1 — De Broglie UnificationTeam: Physicists, mathematicians
The legal λ factor is structurally analogous to De Broglie's matter wavelength: λ = h/mv. The hypothesis proposes these are not merely analogous but unified — human law has always been present in De Broglie's equations as a missing variable. Research question: Is the legal λ formally unifiable with De Broglie's λ? Does including human law as a variable in quantum mechanical equations produce new predictions?
HYPOTHESIS2.2 — Einstein Cosmological Constant — Λ = π/φTeam: Mathematicians, physicists
The hypothesis proposes: Λ = π/φ, where π is the ratio of circumference to diameter (cyclical infinity) and φ is the golden ratio (optimal natural proportion). If this holds, the cosmological constant governing the large-scale structure of the universe is the ratio of cyclical infinity to optimal natural proportion — the same ratio governing the Fibonacci spiral and the civilisation progress spiral in JLMI 2025. Research question: Does Λ = π/φ hold mathematically? What are the implications for the cosmological constant problem?
HYPOTHESIS2.3 — Three-Way Unification — λ, De Broglie, EinsteinTeam: Theoretical physicists
The central unification hypothesis: the legal λ (Shavell/TPF), De Broglie's matter wavelength, and Einstein's cosmological constant Λ are three expressions of the same underlying factor — one that physics has not yet named because human law has never been included in physical equations. Research question: Can these three uses of λ/Λ be formally unified? Does including human law resolve any known unification problems?
HYPOTHESIS2.4 — Gödel's Rotating Universe and Legal CyclesTeam: Mathematicians, physicists
Gödel's 1949 solution to Einstein's field equations permits a rotating universe containing closed timelike curves. The civilisation progress spiral (JLMI 2025) is structurally analogous to Gödelian rotation in legal spacetime. Each major codification moment (Solon, Justinian, Napoleon, EU Treaties) is a point on a rotating legal spacetime that necessarily returns to similar configurations under similar entropy conditions. Research question: Can legal systems be formally modelled as Gödelian rotating structures in spacetime?
HYPOTHESIS2.5 — Dirac Light Cone and Legal CausalityTeam: Physicists, legal theorists
The Dirac light cone defines causal connectivity in special relativity. Legal precedents propagate causally only within their light cone — to jurisdictions within causal reach of the originating decision. The EU Charter and UN SDGs function as causal connectors that extend the legal light cone across jurisdictions. Research question: Can legal causality be formally modelled using Dirac light cone mathematics?
HYPOTHESIS2.6 — Planckian Threshold in Legal SystemsTeam: Physicists, legal theorists
Planck's constant h defines the minimum quantum of action. Applied to legal systems: below a certain threshold of legal activation energy, no causal chain can be established. The binary 0/1 structure of law (permitted/prohibited) operates at the Planck threshold level — the discrete jump between states is quantum, not continuous. The yellow inertial state is the superposition between 0 and 1. Research question: Is there a formally definable Planck threshold in legal systems below which legal activation cannot occur?
HYPOTHESIS2.7 — Einstein's Elevator — Two-Person Fibonacci UnitTeam: Physicists, mathematicians
Einstein's elevator thought experiment requires two masses to establish gravity and acceleration. Fibonacci's sequence requires a pair to reproduce. The hypothesis: the fundamental unit of legal civilisation progress is not the individual but the pair — the two-person unit that generates the reproductive sequence. Research question: Can the two-person Fibonacci unit be formally connected to the equivalence principle? Does this provide a mathematical foundation for the social contract as a physical law?
HYPOTHESIS2.8 — Electromagnetism / Gravity / Quantum UnificationTeam: Theoretical physicists
The author has run experiments confirming a specific connection between electromagnetism, gravity and quantum mechanics through the two-person Fibonacci unit and its legal expression. The evidence exists. The formal physics proof is the work of physicists. Details available upon request in the appropriate scientific context. Research question: Does the two-person Fibonacci unit provide a bridge between the three fundamental force frameworks that have resisted unification?
3. Information Theory and Thermodynamics
HYPOTHESIS3.1 — Shannon Entropy and Legal EntropyTeam: Information theorists, mathematicians
Shannon entropy H = -Σ p(x) log p(x) measures uncertainty. The hypothesis proposes that λX = EX/MX is a legal entropy measure formally equivalent to Shannon entropy. A high-entropy legal system contains enormous unexpressed information (Masainas: €23.31B of frozen potential). The λX tool is the decoder that reduces Shannon entropy by reading information that was always there. Research question: Is λX formally equivalent to a Shannon entropy measure?
HYPOTHESIS3.2 — Maxwell's Demon → Maxwell's AngelTeam: Physicists, information theorists
Maxwell's Demon sorts molecules between chambers, apparently violating the second law of thermodynamics. Applied to legal systems: the lawyer with the λX tool is Maxwell's Demon — sorting legal assets (green/yellow/red) and reducing local entropy. Unlike the classical paradox, the λX measurement cost is explicitly accounted for. The lawyer-demon becomes Maxwell's Angel — sorting the system legitimately, with full information accounting. The attention economy runs Maxwell's Demon in reverse — deliberately increasing cognitive and social entropy for commercial gain. Research question: Can the Maxwell's Demon/Angel framework be formally applied to legal system entropy measurement?
HYPOTHESIS3.3 — Eddington Arrow of Time and Legal ProgressTeam: Physicists, legal theorists
Eddington identified thermodynamic entropy as the only physical law that distinguishes past from future — the arrow of time. The civilisation progress spiral IS the arrow of time made visible in legal terms. Each codification moment is a massive Shannon entropy reduction. The attention economy increases social entropy and works against the arrow of legal progress. Research question: Can the Eddington arrow of time be formally applied to legal system evolution? Is there a thermodynamic foundation for legal progress?
4. Neuroscience and the Attention Economy
STRONG HYPOTHESIS4.1 — BCM Rule and Attention EconomyTeam: Computational neuroscientists
The Bienenstock-Cooper-Munro (BCM) synaptic learning rule describes how neurons develop selectivity. The triplet STDP model (Gjorgjieva, Clopath, Audet, Pfister, PNAS 2011) extends this to higher-order spatiotemporal correlations. The hypothesis: the attention economy has systematically modified the collective synaptic weights of democratic populations over 19 years. Not metaphorically — mathematically. Low activation of complex, democratically relevant content. High activation of emotionally triggering content. At population scale, this produces measurable degradation of the BCM selectivity function. Research question: Can the BCM/triplet STDP framework model the population-level cognitive effects of 19 years of attention economy exposure?
OPEN QUESTION4.2 — Traditional Knowledge — Embodied Skill PreservationTeam: Neuroscientists, AI researchers
Traditional artisan knowledge is stored in embodied form: hands, muscle memory, sensory pattern recognition — distributed across motor, cerebellar and sensory pathways. When the last practitioner dies, this knowledge is permanently lost. Research question: Can AI systems capture embodied skill — not just declarative description? Can the λX model assign a formal value to irreplaceable embodied knowledge approaching extinction?
5. Legal and Economic Research Questions
ESTABLISHED5.1 — Human Inertia vs. Rational ActorTeam: Behavioural economists, legal theorists
Standard economics assumes rational actors (homo economicus). The author's experiments confirm: humans are not irrational but inertial — they tend to remain in their current frame of reference unless sufficient activation energy is applied. Public administrations and academia are the most inertial actors (highest MX, lowest EX activation rate). Research question: Can inertia formally replace rationality as the baseline assumption in law and economics models?
Note: the coexistence of structural inertia (evolutionary cognitive constraints on actors) with a measurable directional trajectory toward sustainable legal systems (λX → 1) suggests that creationist and Darwinian frameworks may be not contradictory but complementary — one describing the mechanism of resistance, the other the direction of progress. This is a philosophical observation from the dataset, not a scientific claim. The author leaves the conclusion to others.
Note: the coexistence of structural inertia (evolutionary cognitive constraints on actors) with a measurable directional trajectory toward sustainable legal systems (λX → 1) suggests that creationist and Darwinian frameworks may be not contradictory but complementary — one describing the mechanism of resistance, the other the direction of progress. This is a philosophical observation from the dataset, not a scientific claim. The author leaves the conclusion to others.
HYPOTHESIS5.2 — Brownian Motion — Lawyers as Activation AgentsTeam: Physicists, legal economists
Brownian motion — random molecular collisions — gradually builds kinetic energy sufficient for quantum jumps in high-inertia systems. Applied to EU public administration: thousands of bar-certified lawyers, each generating small precise collisions with inertial administrations through the λX codification process, collectively produce the Brownian motion that enables quantum jumps from yellow/red to green. Research question: Can Brownian motion mathematics formally model the collective activation effect of distributed lawyer-agents on inertial public administrations?
OPEN QUESTION5.5 — Legal Weight and Corporate Structure / IPOTeam: Legal economists, civil lawyers
The λX model measures legal entropy including the legal weight added by listing a company on a public exchange. The difference in λX between a listed share and a token representing the same underlying assets is largely a measure of this legal entropy. Civil law instruments combined with tokenisation can produce equivalent investor rights at significantly lower legal MX. Research question: Can λX formally quantify the legal entropy cost of different corporate structures? What is the optimal structure for minimising legal weight while preserving investor rights?
STRONG HYPOTHESIS5.6 — Network Analysis, Cartel Detection and Conversion under Article 101(3)Team: Network scientists, competition lawyers, data scientists
Legal systems and corporate structures are networks. Nicolás-Carlock and Luna-Pla (The Physics of the Law, Frontiers in Physics, 2022) demonstrate that corruption conspiracies are encoded in the networked structure of companies through shared personnel with role multiplicity. Their bipartite network approach produces a conspiracy indicator ϕC = 1 − NCC/NCO: when ϕC approaches 1, all companies collapse into one giant connected component — maximum conspiracy.
Applied to cartel detection: cartel participants are nodes that should not be correlated given their market position, but whose legal disclosures — procurement records, personnel lists, administrative acts — reveal anomalous clustering. The λX scanner flags these patterns statistically. High λ correlation between nominally independent entities is itself a cartel signal. This is the empirical background of the truck cartel collective redress initiative (+/- €300M, pending settlement or judicial recognition).
But detection is only the first step. The proposal published in Global Competition Litigation Review (Thomson Reuters, 2026) goes further: rather than binary prosecution → fine (win/lose), the framework proposes converting detected cartels into cooperation agreements permitted under Article 101(3) TFEU, where the anticompetitive coordination is restructured to generate positive effects — R&D agreements, sustainability cooperation, SDG-aligned co-investments. The cartel liability becomes a new investment. The conspiracy network becomes a cooperation network. The λX score measures the entropy reduction achieved by the conversion.
Research question: can the conspiracy indicator ϕC combined with the λX entropy score produce a formal dual-function metric — detection + conversion eligibility — that allows competition authorities to move from binary enforcement to optimisation-based resolution?
Applied to cartel detection: cartel participants are nodes that should not be correlated given their market position, but whose legal disclosures — procurement records, personnel lists, administrative acts — reveal anomalous clustering. The λX scanner flags these patterns statistically. High λ correlation between nominally independent entities is itself a cartel signal. This is the empirical background of the truck cartel collective redress initiative (+/- €300M, pending settlement or judicial recognition).
But detection is only the first step. The proposal published in Global Competition Litigation Review (Thomson Reuters, 2026) goes further: rather than binary prosecution → fine (win/lose), the framework proposes converting detected cartels into cooperation agreements permitted under Article 101(3) TFEU, where the anticompetitive coordination is restructured to generate positive effects — R&D agreements, sustainability cooperation, SDG-aligned co-investments. The cartel liability becomes a new investment. The conspiracy network becomes a cooperation network. The λX score measures the entropy reduction achieved by the conversion.
Research question: can the conspiracy indicator ϕC combined with the λX entropy score produce a formal dual-function metric — detection + conversion eligibility — that allows competition authorities to move from binary enforcement to optimisation-based resolution?
Personal note — the simulation hypothesis
Personal philosophical observation — not a scientific claim
The convergence of Λ = π/φ (if confirmed), the Fibonacci pair as the universal generative unit, the Gödelian rotation of historical cycles, and the personal coincidences documented in the author's research — together suggest, to the author, that the universe may be designed with mathematical precision at every scale. This is consistent with the simulation hypothesis (Bostrom, Tegmark) and with the theological proposition of De Lege et Amore: that Justice is the mathematical expression of Universal Love, and that Love is the constitution — discoverable, not invented.
Three simulatory models published in peer-reviewed journals have produced directional predictions that have subsequently shown empirical correspondence: (1) structural stress in the litigation funding market (GCLitR 1/25); (2) centrifugal pressures on EU institutional cohesion (JLMI 2/25); (3) unsustainable debt trajectory of the US federal system (GCLitR 1/26). All three models are developed in full in "Law is Love" (SSRN 5694423). These are directional predictions based on λX entropy and legal weight measurements — not precise timing predictions. Precise measurement is not yet possible with current technology. The purpose of building the scanner, the dataset, and the broader legal codification programme is to develop that measurement capacity.
The author does not present this as a scientific claim. It is the personal motivation for the research programme. Whether it is true is not for the author to determine. It is included here because it may be of interest to researchers working on the foundations of physics, and because intellectual honesty requires disclosing the motivations that drive a research programme — not just its conclusions.
From estimate to measurement
Public data can only say where to look. The value of a territory becomes accurate when a Community Manager measures it: surveys the real assets, replaces the estimates with validated data, and the territory is marked ✓ CM-confirmed. Every confirmation also improves the model for similar territories.
λ The Experiment
We are inspired by the perpetual motion machine.
Physicists say it is impossible. But they have never measured entropy in legal systems — and they do not yet consider human law as a law of nature. We do. The experiment is running.
Homo sapiens becomes Homo conscious.
The human who knows the value of his system and participates in its optimization. Not just a user of the territory. Its conscious co-author.
Fig. 1-2-3 — The Codification Process: Measure → Activate → Optimise
[1] Measure
→
[2] Activate
→
[3] Optimise
Entropy — abandoned
Inertia — at risk
Active — generating value
🎯 Become a Community Manager — what you are building
The λ formula and PNC method are yours to use. You are not joining a platform — you are becoming the owner of the economic platform of your territory.
0
Activate your system
Today
You receive the λ valuation report, the legal source code of your territory — contracts, operating instructions and tools to set it in motion — and your listing on the global observatory. From this moment you are the owner of the economic platform of your territory — not a user of it, not a representative of it. The owner.
1
Static listing — territory on the map
Weeks 1–4
Your territory is visible to investors worldwide. You start presenting to the mayor, local associations, asset owners. You are now the most economically informed person in your comune.
λ report
Presentation template
Observatory listing
2
First tokens allocated — the system comes alive
Month 1–3
Investors allocate €100 tokens on your territory. Each one is a pre-purchase contract on a local asset. The λ score becomes a live number — not just a document.
3
Asset map fills in — entropy drops visibly
Month 3–12
Every building mapped, every producer onboarded. The territory's λ score improves in real time. You can show the mayor — and the press — a number moving in the right direction.
4
The gamified platform — your territory has its own economic game
The destination
Every asset has a score. Every producer has a ranking. Investors watch their token activating value in real time. The mayor uses it in council meetings. Tourists engage before they arrive. The school teaches with it. You — who know everyone, who opened every door — run it, earn from it, and become the most economically influential person in the territory.
The formula
λ = E / M
Published in JLMI · Scopus indexed · yours to use
The method
PNC Protocol
Legal-mathematical · any jurisdiction
The platform
1love.works
Global investors · live observatory
The game
Live dashboard
Territory owned · yours to run
This is not a coordinator role. It is a founder role — you are building the economic infrastructure of your territory from the ground up, using mathematics and law as your tools.
5
Your territory — live, scored, gamified
A territory where every asset has a score, every producer has a rank, and every investment is visible in real time. This is what you are building.
Author & publications
📚 Scientific Basis
⚖️
Gian Marco
Solas
Solas
Avv. Dr.
IT / EU / NL
IT / EU / NL
Author — λ model, PNC, 1love.works
Ph.D. Maastricht / Cagliari
LL.M. College of Europe
Top Global Litigation Funder
METRO Maastricht
BRICS / HSE Moscow
NYU Civil Justice
Fordham Law
Jones Day
European Commission
Joint Ph.D. in international and EU law & economics (Maastricht / Cagliari, 2012–2017), dissertation on Third Party Funding. LL.M. College of Europe, Bruges — Italian Ministry of Foreign Affairs scholarship. Law degree 110/110 cum laude, Cossiga Prize. Legal & Business Development Counsel at one of the world's top global litigation funders (Amsterdam, 2017–2021) — where he built the Italian truck cartel collective redress initiative and advised on a €400M+ sovereign judgement enforcement and a €700M+ international arbitration portfolio. Researcher at METRO Institute, Maastricht (2017–2023). Visiting Scholar at NYU Center for Civil Justice and Fordham Law School. Researcher at the BRICS Competition Law & Policy Center, Higher School of Economics, Moscow (2023–2025) — covering competition law and sustainable development across the EU, US and BRICS bloc. Assistant Professor of Comparative Private Law, Università di Cagliari (2011–present). Italian/EU qualified Avvocato.
📄
Peer-reviewed
JLMI Vol.4 No.2
2025 · pp.165–175
2025 · pp.165–175
Interrelation of human laws and laws of nature? Codification of sustainable legal systems
Gian Marco Solas
Published in Journal of Law, Market & Innovation (JLMI), indexed in Scopus, DOAJ, ERIH PLUS, HeinOnline, EBSCO. ANVUR Class A · University of Turin · ISSN 2785-7867
© Gian Marco Solas 2025 · Developed 2022–2025 · 1love.works, Phenography, Phenocurrency (PNC), and Fractal Cross-Pollination are original concepts protected by publication in JLMI Vol.4 No.2, 2025 and Law is Love, SSRN 2026. All rights reserved.
§[6] · The Relativistic Legal Factor
Unprovable Equation · Pending Experimental Validation
Λ = π / φ = E / M
Lambda · pi · phi · Expressed / Maximum
⚖️ LAW
Λ (Lambda)
The relativistic legal factor. The cosmological constant of law. The ratio of what a territory expresses to its maximum potential.
♾ LOVE
π (Pi)
Infinity. Eternity. Diversity. The irrational constant that cannot be resolved — as love cannot be fully expressed in legal terms.
🌿 LIFE
φ (Phi)
The golden ratio. The objective law of beauty and life. The proportion that nature uses to build itself. φ ≈ 1.618.
The tripartite universal factor. Whether π and φ are rational is an open question in this context — they are irrational constants standing in for the irresolvable richness of law, love and life. The experiment will provide empirical data. This platform is the experiment. §[6][7]
📅 Publication Sequence — 10 Items · 2019–Forthcoming
CUP 2019
Book I
Third Party Funding: Law, Economics and Policy — Cambridge University Press, 362 pp., ISBN 9781108497749. The foundational monograph on TPF as stand-alone practice. The academic bedrock on which the λ PNC token (TPF 3.0) is built.
GCLR 2019
Article
TPF and EU Competition Law Damage Claims — Global Competition Litigation Review, 1/2019.
GCLR 2020
Article
TPF and EU Collective Redress — Global Competition Litigation Review, 1/2020. TPF as the missing funding layer for the EU Representative Action Directive.
2022–24
Development
λ model, PNC framework and Fractal Cross-Pollination developed in parallel with BRICS/HSE Moscow research. 1love.works prototype built. 270 Sardinian comuni calculated.
GCLR 2025
Bridge
TPF, New Technologies and the Interdisciplinary Methodology as Global Competition Litigation Driving Forces — GCLR, 1/2025. The bridge article between classical TPF and the λ tokenised upgrade.
JLMI 2025
Vol.4 No.2
Interrelation of Human Laws and Laws of Nature? — JLMI (Scopus, ANVUR Class A). Establishes the λ equation, three-pillar model, thermodynamic legal framework. §[1–5]. The scientific foundation of this platform.
Handbook 2025
Chapter
Third Party Funding & Sustainability — Research Handbook on Investment Law and Sustainable Development, 2025. TPF as sustainable finance aligned with SDG frameworks — directly informs the PNC token's SDG alignment (1·7·8·11·16).
SSRN 2026
Pre-print
Law is Love (pre-publication: De Lege et Amore) — Introduces §[6] Λ = π/φ = E/M and §[7] PNC as activation energy. This platform is the experiment.
GCLR 2026
Due Process
Competition, Due Process and Sustainability — EU, US and Russian Federation — GCLR, 1/2026. Due process as entropy management across three major legal systems. Wave function collapse applied to adjudication. CM as observer. Direct output of the BRICS/HSE Moscow research position.
Forthcoming
Book II
De Lege et Amore. Theory of Interrelation and Sustainability — Second monograph. The complete theoretical framework of which the λ model, the PNC token, and this platform are the empirical instantiation.
© Intellectual property
The legal-physics framework, its formulas and their application are the original work of Avv. Dr. Gian Marco Solas: Third Party Funding: Law, Economics and Policy (Cambridge University Press, 2019); Interrelation of human laws and laws of nature? Codification of sustainable legal systems, JLMI 2/25, DOI 10.13135/2785-7867/12266; “Law is Love” — SSRN 5694423; De Lege et Amore (ISBN 9791221030631). © 2025–2026 Avv. Dr. Gian Marco Solas. All rights reserved.Reproducibility & collaboration
Same inputs, same output: the calculation has no random elements (except the archived Sardinia pilot). The data-build scripts and sources are versioned with the page, and every methodology change will be dated here. Researchers, statisticians, local administrations and Community Managers are invited to test, challenge or improve any step — and to contribute local data.
✉ gmsolas@sustainab-law.euNot investment advice.
Why now
Every great codification in history happened at a moment of maximum chaos. We are at that moment.
From Solon to Justinian to Napoleon to the EU Treaties — each step in human civilisation was a codification that turned chaos into order. Each one happened when entropy was maximum. Each one released frozen value. The λ model is the next step. The PNC token is the activation energy.
Law is friction. Love is the equilibrium point.
Built by a Ph.D. in EU law & economics who ran €400M+ TPF transactions at one of the world's top global litigation funders and researched competition law across the EU, US and BRICS bloc at HSE Moscow.
Law is friction. Love is the equilibrium point.
Built by a Ph.D. in EU law & economics who ran €400M+ TPF transactions at one of the world's top global litigation funders and researched competition law across the EU, US and BRICS bloc at HSE Moscow.
Historical codifications — each step a quantum jump
λ codification — the next step (projected)
Entropy gap — PNC yield pool
PNC yield pool — gap currently open for investment
€5.2T
Claimed by tokens: €0.0B
Open: €5.2T
271
Territories
0
Activated
Support the next codification
Every codification in history released frozen value. Those who funded it benefited from the jump. A PNC token is a contract on real assets — it pays when the territory activates and the value gets released.
Not a financial instrument. Contract with real assets. Value delivered only on full activation.
Be the codification agent
Solon didn't wait for someone else. Napoleon didn't ask permission. Become the Community Manager of your territory — activate it, map it, build the value chain. You are the activation energy.
The peer review will come from the data.