One compact rule (m, a) in (-1,+1) underpins the Shunyaya ecosystem and offers a simple place to begin in any real system.
10. Ecosystem and relationships: where Law 0 sits in Shunyaya
Shunyaya Symbolic Mathematical Law (Law 0) is a single, compact rule:
- every important value becomes
(m, a)witha in (-1,+1), and phi((m, a)) = malways restores the classical value.
That one idea quietly underlies the broader Shunyaya framework.
10.1 Law 0 as the shared substrate
At the base of Shunyaya is the assumption that:
- any quantity that matters can be written as
x := (m, a)witha in (-1,+1), - the classical lane
mremains exactly what existing science and engineering already use, - the alignment lane
ais where posture, drift, and stability are recorded, - collapse parity
phi((m, a)) = mis always respected.
This dual-lane discipline appears, explicitly or implicitly, in several active projects, for example:
- Shunyaya Symbolic Mathematics (SSM) — the symbolic language of dual-lane values and pooling rules.
- Shunyaya Symbolic Mathematical Symbols (SSMS) — the symbolic alphabet and notations built around
(m, a). - Shunyaya Symbolic Mathematical Data Exchange (SSMDE) — envelopes and manifests that carry values and their alignment lanes.
- SSM-Clock and SSM-Clock Stamp — time and stamps treated as quantities with posture (how clean and honest a timeline is).
- SSM-NET — a meaning-carrying overlay for network-style communication using alignment-aware messages.
- SSMEQ, SSMT, SSM-Chem, SSM-Audit — electrical systems, temperature, chemistry, and audit trails expressed as bounded classical values.
- AIM and SSM-AI — personal and symbolic AI components that stamp, track, and respond to alignment signals.
In every case, the same rule is followed:
- keep
mas the classical scalar, - let
ain(-1,+1)speak about reality’s posture in a small, bounded, reproducible way, - ensure
phi((m, a)) = mso that classical systems remain numerically unchanged.
Beyond these active projects, additional domains are being explored under the same dual-lane structure (m, a) with a in (-1,+1) and phi((m, a)) = m, and will be documented separately as they mature.
11. Closing note — from one sentence to shared practice
Shunyaya Symbolic Mathematical Law (Law 0) can be written in one line:
Every classical value carries a bounded alignment lane, revealing reality drift and stability while retaining the original number.
Formally, this is:
- each important quantity becomes
x := (m, a)witha in (-1,+1), - collapse parity is always respected:
phi((m, a)) = m.
You do not lose anything you already trust:
- all classical laws, formulas, and models continue to compute
mexactly as before, - all existing measurements, dashboards, and pipelines remain numerically valid.
You gain a small, disciplined way for each number to speak about:
- how stable or jittery the situation was,
- how much reality was drifting or agreeing around that value,
- whether today’s “same number” lives in the same posture as yesterday’s.
In practice, Law 0 invites a very simple progression:
- Start with one quantity or one law.
Choose a voltage, a flow, a KPI, a score, or a familiar physical formula. - Wrap it into
(m, a).- keep
mexactly as you do today, - define a bounded lane
a in (-1,+1)that captures the kind of posture that matters in your context.
- keep
- Run classical and bounded classical side by side.
- log both
manda, - visualise them together,
- look for “same value, different posture” patterns.
- log both
- Let evidence guide you.
- if
asurfaces useful differences thatmalone was hiding, keep going, - if not, adjust the way you compute
aor choose a different quantity.
- if
From there, Law 0 does not demand a particular domain or architecture. It simply offers a common rule:
- keep the numbers you already trust,
- give them a bounded alignment lane,
- let posture become visible, comparable, and testable.
Whenever measurements, models, or AI systems need a shared language for stability, drift, and trust, Shunyaya Symbolic Mathematical Law (Law 0) is a place to begin.
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Disclaimer (summary).
Shunyaya Symbolic Mathematical Law (Law 0) is an observation-only framework and must not be used directly for design, certification, or safety-critical decisions.