A zero-centric temperature language for machines, infrastructure, and cities
A single, unitless thermal signal that any sensor, fleet, city, or habitat can speak — without arguing about °C vs °F, and without changing physics.
Status. Public research release. Observation-only.
License. Open standard, open source. (See “Full License / Usage”)
Attribution. Cite “Shunyaya Symbolic Mathematical Temperature (SSMT)” when you implement or adapt this approach.
Purpose
Goal: Make temperature readable the same way everywhere.
Today, every system treats temperature differently:
- Some use °C, some °F, some Kelvin.
- Thresholds and alerts differ.
- Audit and analytics pipelines fail when scales mix.
SSMT fixes that foundation.
It defines a unitless symbolic layer — replacing raw numeric temperature with:
e_T: a contrast showing how far from a declared baseline you are.a_T,a_phase: optional bounded dials in(-1,+1)for pooling, comparison, and safety logic.
SSMT does not replace Kelvin.
It redefines how temperature is communicated and interpreted across machines and organizations.
Example:
A temperature of 20 °C, 68 °F, or 293.15 K becomes the same e_T once converted to Kelvin and expressed symbolically.
A human comfort band, material phase boundary, or spacecraft tolerance range can all speak in one thermal language — bounded, reversible, and auditable.
Key idea (overview)
The transformation pipeline is minimal and universal:
1. Convert once to Kelvin:
T_K
2. Apply a Kelvin floor:
T_K := max(T_K, eps_TK)
3. Map to a unitless contrast using a declared lens:
e_T := ln( T_K / T_ref )
4. (Optional) Map to a bounded dial:
a_T := tanh( c_T * e_T )
After this, machine logic uses only symbolic signals (e_T, a_T, a_phase), never raw °C or °F.
This eliminates scaling conflicts while enabling reproducible, fair temperature-driven decisions across models, cities, or even planets.
Analogy
If Kelvin is like an absolute ruler,
SSMT is like a common language.
Every instrument still measures length in its own way — but the words we use to describe it now mean the same thing everywhere.
Disclaimer
Observation-only.
SSMT is a symbolic representation layer for analytics, routing, alerting, and governance.
It is not a substitute for calibration, physics models, engineering judgment, or mission-critical control.
Navigation
Previous – Index
Next: SSMT – Purpose and Motivation (0A)
Directory of Pages
SSMT – Table of Contents
Explore Further
https://github.com/OMPSHUNYAYA/Symbolic-Mathematical-Temperature