#Bornrule
1/3
The Born rule is one of the strangest features of #quantum theory: why is #probability given by squared amplitude? #DP treats this not as a brute axiom, but as the measurable expression of distributed presence in geometric form.
#Bornrule #Physics #PhilSky #PhilSci ⚛️ 🧪
May 21, 2026 at 5:11 PM
Mathematical framework derives the Born rule from a weak transition probability principle, simplifying quantum foundations without requiring additional postulates about observers. Connects quantum theory to statistical principles.

#QuantumFoundations #BornRule #Research
On the Born Rule in a New Quantum Approach
arxiv.org
September 22, 2026 at 7:41 AM
New paper: Born rule without probabilities?

What if outcome frequencies in quantum experiments arise from deterministic geometry?

zenodo.org/records/156042…#QuantumFoundationsn#BornRulel#Determinisms#PhilosophyOfPhysicscs
https://zenodo.org/records/156042…
June 6, 2025 at 8:30 PM
Novel theoretical framework shows macroscopic quantum superpositions collapse rapidly via stochastic dynamics of the ordinary Schrödinger equation, deriving the Born rule without postulation and explaining why Schrödinger cats don't exist.

#QuantumMeasurement #BornRule #Research
Macroscopic Superposition Collapse from Stochastic Schrödinger Dynamics
arxiv.org
May 18, 2026 at 3:02 AM
Proves the Born rule P(z)=|z|² is uniquely determined by 5 axioms in complex-weighted categories without Hilbert spaces. Establishes Born rule as a local consequence of phase invariance and classical-limit additivity.

#QuantumFoundations #CategoryTheory #BornRule
Local Uniqueness of the Born Rule in Categorical Quantum Mechanics
arxiv.org
August 7, 2026 at 10:14 AM
Can you get the Born rule without collapse, randomness, or Hilbert space?

I just published a new paper exploring a deterministic, geometric path to |ψ|² using symmetry and volume on a finite space.

98 downloads in 48 hours
zenodo.org/records/1674...

#bornrule #quantummechanics
FIXING THE MEASURE: DERIVING |Ψ|2 FROM SYMMETRY IN DETERMINISTIC GEOMETRY
This paper derives the Born rule from first principles by identifying the unique measure over complexHilbert space that is invariant under two physically motivated symmetries: complex-scaling homogene...
zenodo.org
August 7, 2025 at 10:40 AM
Novel theoretical framework derives quantum mechanics' Born rule and Bell inequality violations from single algebraic balance principle. Reconciles deterministic ontology with observer-level quantum formalism through information bottleneck mechanism.

#QuantumFoundations #BornRule #Research
Emergence of the Born Rule from Accessibility Theory via Algebraic Boundary Reduction
iq.fp2.dev
May 1, 2026 at 8:28 AM
How does the Born Rule emerge? In standard QM, it’s an axiom. In #DP, it’s a geometric necessity. Probability P(i) emerges from the projection geometry of the presence distribution (Wi∝cos2θi).
#BornRule #Physics #Quantum
May 19, 2026 at 9:35 AM