Quantum Collapse Gravity (QCG): The Physics of What Survives

A Unified Framework for Collapse-Based Emergence of Spacetime, Curvature, and Structure

-Newest Pre-Print in the series (https://doi.org/10.5281/zenodo.15353624)

Abstract

Quantum Collapse Gravity (QCG) is a unified theoretical framework in which quantum collapse is not a postulate, but the primary physical mechanism by which reality emerges. Instead of treating collapse as an ill-defined measurement update, QCG formalizes it as a topologically constrained, entropy-regulated process that gives rise to classical spacetime, curvature, and structure.

In QCG:

• Spacetime emerges as a smoothing of collapse geodesics across a recursive phase lattice

• Mass reflects entropic resistance to decoherence

• Gravity arises from the global deformation of collapse coherence

• Time is a standing wave formed by symmetry locking and phase return

• Fields are not fundamental; they are statistical illusions of collapse-stable attractors

QCG integrates concepts from general relativity, quantum mechanics, number theory, and twistor geometry into a single collapse-based ontology. It replaces classical notions of particles, fields, and even spacetime with identity objects evolving through collapse entropy landscapes.

The result is a testable, quantizable, and variational framework where collapse is the beginning of physics, not the end of it.

Introduction

QCG is built on the following principles:

• Collapse is real: It is the entropic pruning of phase-space possibilities under constraint

• Identity is primary: Physical form arises when coherence is stabilized through collapse

• Geometry is emergent: Spacetime is a consequence of recursive, entropy-minimized collapse pathways

• Time is rhythmic: It arises as a standing wave between symmetry locking and phase reintegration

• Mathematics is physical: Structures like primes, tilings, and bundles arise from physical collapse constraints

Technical Highlights

Core Objects

• Collapse Derivative D[ψ]: Local rate of identity change under entropic pressure

• Collapse Entropy S[ψ]: Logarithmic measure of collapse-path degeneracy

• Collapse Action C[ψ]: Total deformation cost weighted by entropy

• Collapse Field Equation:
  
      Rij[ψ] − (1/2) · R[ψ] · Gij = 8π · Tij[ψ]

  Where:
      Rij[ψ]   = Collapse Ricci Tensor (local curvature in identity-space)
      R[ψ]     = Scalar Collapse Curvature (total deformation)
      Gij      = Collapse Metric (grammar of structural relationships)
      Tij[ψ]   = Identity Stress Tensor (entropy + memory + structural load)

  A generalization of Einstein’s equations applied to identity-space curvature

Foundational Innovations

• Collapse modeled as Jacobian degeneracy in SU(2), SO(3) transformation groups

• Gauge field constraints regulate collapse frequency under curvature

• Time dilation as collapse rhythm adjustment

• Prime number prediction from collapse spectral residue

• Embedding into twistor cohomology, where collapse events correspond to sheaf singularities in CP3

Summary of the 10-Part QCG Paper Series

Comparative Table

Sample Operator Chain

Collapse evolution unfolds as:

U(x)=e^ix⟶C(ψ)=e^iπ⟶P∈R

• U(x): Unitary evolution in phase space

• C(ψ): Symmetry-locked collapse

• P: Classical projection into decohered identity-space

Open Threads for Collaboration

• Formal toy models of collapse sheaves over CP3

• Collapse index functions tied to bundle degree and harmonic entropy

• Experimental predictions in decoherence timing under curvature

• Mapping bioelectric coherence and collapse signatures

• Prime prediction refinement via collapse sieve simulation

Why QCG Matters

QCG offers:

• A unified bridge between quantum mechanics, relativity, and number theory

• A new foundation for understanding identity, structure, and time

• A testable alternative to probabilistic interpretations of quantum mechanics

• A computable field theory for collapse, not reliant on speculative dimensions

• A grammar of emergence not just of matter, but of meaning
  
  Collapse is not a measurement problem, it's the mechanism by which reality resolves itself.
  
  “To Carl Sagan, 
  who taught us that we are the cosmos, and that science belongs to us all.
  I hope this work reflects even a fraction of the generosity you gave the world.”

For questions, discussions, or collaborations, feel free to reach out via QuantumCollapseGravity@gmail.com
https://x.com/synsauce

*Preparing for official publication for peer review.