Abstract and Overview (0.1)
Shunyaya Symbolic Mathematical Symbols (SSMS) makes the operators symbolic—carrying a bounded stability signal alongside the classical result, without changing that classical result under collapse.
Imagine arithmetic that always returns the same classical value, yet also tells you how calm vs stressed the computation is. SSMS provides a compact, portable set of alignment-aware operators that act on symbolic numerals to produce results with both magnitude and a bounded alignment.
It preserves collapse parity with classical math, keeps alignment safely bounded, supports streaming-safe addition, enables banded comparisons for confidence-aware decisions, and offers an optional environment gate that attenuates alignment only (leaving magnitudes untouched).
SSM recap (numeral and collapse)
x = (m, a) # magnitude m, alignment a in (-1, +1)
phi(m, a) = m # collapse recovers classical results
Optional gate (alignment-only)
a_env = g_t * a_op # g_t in [0,1]; magnitudes remain unchanged
Why this matters
- Collapse compatibility: classical outcomes are preserved by phi.
- Bounded stability: alignment stays in (-1, +1), so chaining remains predictable.
- Decision clarity: banded comparisons yield true / false / undecided instead of brittle single thresholds.
- Composability: the same operators extend to vectors, matrices, polynomials, and pipelines.
- Observation-only: SSMS informs analysis and decision support; it is not an operational or safety system.
Navigation
Next: Operator Canon and Combine Policies (0.2)
Explore further
https://github.com/OMPSHUNYAYA/Symbolic-Mathematical-Symbols
Disclaimer (observation only)
SSMS provides stability-aware arithmetic for analysis and decision support; it does not replace domain models, operational controls, or safety processes.
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