⭐ A New Structural Perspective on Newton’s Third Law, One of Physics’ Oldest Principles
A Bounded, Origin-Centered Reformulation of Action–Reaction for Classical and Non-Classical Physics
LAW 0AR provides a clean, origin-centered formulation of action–reaction symmetry.
It introduces no new physics, no new forces, and remains perfectly faithful to Newton —
while giving us a clearer structural representation for interactions that are:
- distributed (rockets, jets, exhaust flows)
- field-mediated (EM forces)
- non-local (fluids, plasmas, pressure fields)
Where Newton applies directly, LAW 0AR behaves identically.
Where Newton becomes hard to express locally, LAW 0AR offers stability, clarity, and bounded structure.
Note: LAW 0AR is not a new force law. It does not modify force, momentum, or Newtonian mechanics; it only provides a bounded structural representation of symmetry.
🔑 The Core Principle (ASCII)
“Every physical interaction produces a dual, symmetric, bounded pair of structural responses originating from the same interaction source.”
This ensures:
- 🔁 perfect action–reaction symmetry
- 🔒 bounded structural behavior
- 🎯 classical recoverability (Newton preserved)
- 📉 no blow-ups, no singularities
⚙️ The Structural Operator (SSMO-AR)
LAW 0AR is the law.
SSMO-AR is the mathematical tool used to express it.
Minimal demonstration:
from math import tanh
def SSMO_AR(F):
Df = tanh(F) # dissipation / scaling
Bf = tanh(Df) # bounded collapse
Af = Bf # Z(x) = identity
return Af, -Af
print(SSMO_AR(10.0))
print(SSMO_AR(-25.0))
print(SSMO_AR(0.5))
Expected:
- values always in (-1, +1)
- perfect symmetry: A + R = 0
- smooth collapse for large forces
This matches all LAW 0AR scientific validations.
🚀 Real-World Validation
Evaluated (observation-only) on public datasets across four domains:
- Rocket Thrust Curves — smooth bounded collapse
- Aerodynamic Pressure Fields — symmetric mappings
- Asymmetric CFD Flow — structural asymmetry aligns with lift/drag
- Metal Stress–Strain — elastic → plastic → saturation transitions captured cleanly
Across all datasets:
A + R = 0 for every sample
Bounded stability. Zero singularities.
🧭 Why LAW 0AR Matters
Modern physics increasingly deals with:
- momentum distributed through media
- forces transmitted via fields
- non-local reaction pathways
- flux-driven interactions
- turbulent or continuum environments
Newton’s Third Law remains true — but is often not locally expressible.
LAW 0AR provides a structural, bounded, origin-centered representation of symmetry that:
- preserves Newton fully
- clarifies difficult interaction regimes
- remains mathematically stable
- adds no assumptions, no predictions, no reinterpretations
It is a neutral complement, not a replacement.
🔍 One-Sentence Summary
LAW 0AR preserves Newton’s Third Law while extending symmetry clarity to distributed, field-mediated, and modern interaction regimes — using clean, bounded structural mathematics.
📂 Repository
LAW 0AR — Open Standard (Observation & Interpretation Only)
https://github.com/OMPSHUNYAYA/Symbolic-Physics-LAW-0AR
Master Index — Shunyaya Symbolic Mathematics
https://github.com/OMPSHUNYAYA/Shunyaya-Symbolic-Mathematics-Master-Docs
Blogs:
https://shunyaya.blogspot.com
https://shunyaya.blog
🌈 Closing Thought
Newton revealed what symmetry is.
LAW 0AR helps us see where symmetry originates —
directly at the interaction source, cleanly, universally, and without modifying the physics we trust.
It does not replace. It reveals.
SHUNYAYA 