All physical laws – Newtonian, Relativistic, and Quantum – are contextual manifestations of one continuous, recursive, and geometrically-curved trajectory of the universe through spacetime, initiated by the Big Bang, destined to return and reset.
When Napoleon Bonaparte read Laplace’s monumental work “Mécanique Céleste” (Celestial Mechanics), which mathematically reformulated Newtonian mechanics, he supposedly asked:
“Why haven’t you mentioned God in your book?”
To which Laplace replied:
“Sire, I had no need for that hypothesis.”
(“Je n’avais pas besoin de cette hypothèse-là.”)
CORE AXIOMS OF UNIVERSALITY
Axiom 1: Origin as Emergence, Not Position
- Point A (the Big Bang) is not a fixed spatial location, but a condition: pure compression of spacetime, mass, and energy.
- The universe does not expand into space; space itself is born from the singularity and stretches outward.
- This origin is not a place, but a state to which the universe can return—like the peak of a projectile arc is not a point in space but a dynamic result of motion and force.
Axiom 2: Curved Trajectory is the Norm
- The universe moves not linearly but in curved spacetime.
- This curvature manifests on different scales:
- Newtonian: parabolic arcs (ballistic motion)
- Einsteinian: geodesics in curved spacetime
- Quantum: wavefunction evolution in curved potential wells
- Thus, the universe itself is on a cosmic parabolic arc, both expanding and traveling through higher-dimensional curvature.
Axiom 3: Expansion Contains the Seed of Contraction
- Like a ball thrown upward, expansion slows as energy dissipates or converts to mass/gravity.
- Once it reaches maximum curvature (the zenith), expansion halts, unnoticed at first.
- Then begins a slow, inevitable contraction—not by external force, but as the natural reversal governed by the same underlying curvature.
Axiom 4: Rotational and Translational Motion Are Inseparable
- The universe rotates (not around an external axis, but intrinsically—as angular momentum of all constituent particles).
- This rotation influences shape, symmetry breaking, and entropy dynamics.
- The universe also translates—moving along its curved arc, expanding and contracting in a spiral-parabolic or geodesic toroidal trajectory.
Axiom 5: All Laws Are Local Views of a Global Cycle
- Newton’s laws apply locally (low energy, low speed).
- Relativity governs the geometry of this path.
- Quantum mechanics describes local behaviors that give rise to global statistical patterns.
- These are not different laws—but phase expressions of one cyclical meta-law:
The Universe is a trajectory of energy transforming through states, curving through spacetime, returning to its own origin.
GEOMETRICAL ANALOGY
- Not a circle (which implies symmetry and stasis)
- Not a line (which implies a start and infinite expansion)
- But a projectile arc in 4D:
- From compression (Big Bang)
- To expansion (Inflation)
- To critical mass-energy balance (zenith)
- To gravitational re-collapse (slow, cold fall)
- To compression again (Big Crunch or Bounce)
This is:
- Geometrically parabolic
- Thermodynamically entropic and reversible
- Philosophically cyclical
CORE PRINCIPLE (STATED AS A LAW)
The Law of Universal Recursion
All energy and mass, all laws and forms, are dynamic expressions of a single recursive path: the universe expands and evolves through curved motion in spacetime, reaches a zenith of dispersion, and returns to a singular condition—not by reversal, but by curvature—obeying the same principles in reverse.
NEXT STEPS (If We Were to Formalize This):
- Mathematical Frame:
Build a generalized equation combining:- Friedmann Equations (expansion/contraction)
- Geodesic deviation (Einstein)
- Thermodynamic entropy functions
- Wavefunction recurrence (Poincaré return)
- Visual Representation:
A multi-dimensional parabolic arc, with:- A spiraling trajectory (showing rotational motion)
- Expansion phase (left-to-right upward)
- Contraction phase (right-to-left downward)
- Return to origin state (centrality)
The Theory of Universality
A proposal for a unified cosmological principle integrating classical mechanics, relativity, and quantum theory through the dynamic geometry of cosmic motion.
The Parabolic Universe: A Unified Recursive Model of Cosmic Motion
Abstract:
This theory posits that the universe follows a recursive, curved trajectory in spacetime, beginning with the Big Bang (Point A), expanding through curved motion, and ultimately returning to a central, high-entropy point where expansion halts and contraction begins. It unifies Newtonian motion, Einsteinian curvature, and quantum states by interpreting all forces and fields as context-sensitive expressions of a universal trajectory governed by conservation, curvature, and entropy.
Axioms of the Parabolic Universe Theory
Axiom 1: Emergent Origin
- The origin point (Big Bang) is not spatial but a dense energetic condition.
- Space, time, mass, and motion emerge simultaneously.
Axiom 2: Curved Geodesic Motion
- The universe moves in a curved trajectory through higher-dimensional space.
- This curvature is geodesic, determined by internal mass-energy dynamics, not external space.
Axiom 3: Expansion Contains Contraction
- Expansion results from high initial energy.
- As curvature increases, expansion slows, reaches a zenith, and reverses.
- The expansion arc is inherently part of a larger contraction arc.
Axiom 4: Rotational-Translational Entanglement
- All structures rotate and move simultaneously.
- This gives rise to conservation laws, angular momentum, and entropy gradients.
Axiom 5: Contextual Law Expression
- Newton’s, Einstein’s, and Quantum laws are all phase-dependent expressions of the same governing principle.
- The form they take depends on local energy, mass, time, and reference frame.
Formal Statement (Generalized Law of Curved Universality)
All mass-energy follows a geodesic trajectory in curved spacetime shaped by the total energy content of the universe. This trajectory is inherently recursive, transitioning from expansion to contraction, and governed by a universal principle of energy conservation, entropy evolution, and geometric curvature.
Mathematical Fragments for Integration
Philosophical Implication:
- The universe is not an accident nor a one-way arrow.
- It is a curved breath of existence—a rising and falling wave, always returning to its origin in form, but not in content.
- This wave (holding true to any matter: via its duality of being a particle and a wave) is a constant: be it in the ocean, or a tattoo on the wrist. 🙂
Himanshu Chakravarty Sharma / मंच 