🤝 Trust in ἀδελφός

Trust, like love, escapes a formal definition. However, in ἀδελφός, trust is measured as the amount of money we are willing to postpone for a person or group.


💡 What Is Trust?

If Alice sells a used phone to Bob for $300 and Bob promises to pay in a month, Alice is trusting Bob for $300 over 30 days.

Thus, trust is a function of two variables:

In real life, longer delays often require interest to compensate for risk. For example:

Bob promises Alice that if she waits one year, he will pay her $310 — a 3% interest.


📐 Trust as a Measurable Concept

In ἀδελφός, trust is defined as the amount of delayed money we are willing to sacrifice in the present.

When I receive a payment from someone, I give trust to them, and that trust is proportional to the credit I extend.

🧾 Example

Suppose we sell a used car to our wife’s best friend, Lucy.
The market price is €4,000. Lucy has only €3,500.
We accept €3,500 in cash and €500 as an IOU.
The trust ratio is:
500 / 4000 = 12.5%

This 12.5% represents the trust we place in Lucy. The system records this IOU, and the trust becomes quantifiable.


🧭 Philosophy of Trust in ἀδελφός

Trust is the amount of credit I’m willing to accept from another party. ἀδελφός does not aim to replace national currencies entirely — it encourages a gradual shift from scarcity-based money to credit-based exchange.

Each participant defines their own trust threshold when joining the system, limiting their exposure and risk.


📊 The Axiom of ἀδελφός

We use a logarithmic scale to model trust, because doubling the amount of credit doesn’t necessarily double the trust.

🔺 Axiom:

One unit of trust equals one unit of currency exchanged.

To represent currency generically, we use the Greek letter Tao (τ).


🧮 The Human Unit

Currencies vary widely in value. The human unit is the smallest amount of money that can buy something meaningful in a given country.

Examples:

We use the human unit to compute trust as a dimensionless value.


📏 The Trust-bel: Unit of Trust

Trust is measured using the trust-bel (tb), defined as:

trust-bel = 10 * log10(τ / τ_HV)

Where:


🧮 Example 1: USA

Alice lends Bob $100.
Human value in the US = $1

trust-bel = 10 log10(100 / 1) = 10 2 = 20 tb


🧮 Example 2: Italy (pre-Euro)

Anna lends Bruno 1,000,000 Lire.
Human value = 1,000 Lire

trust-bel = 10 log10(1,000,000 / 1,000) = 10 3 = 30 tb

Even though the amount increased fivefold (from $100 to €500), the trust-bel only increased by 10 units — reflecting the logarithmic nature of trust.


🧠 Trust in Practice

In ἀδελφός, trust-bel will be used throughout the system. The human value is approximated using the average exchange rate between the local currency and the dollar.

Examples: