The Ensemble Projection Hypothesis: Spacetime Emergence from Holographic Interference

Bhushan Poojary

doi:doi:10.11648/j.ajmp.20261501.12

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The Ensemble Projection Hypothesis: Spacetime Emergence from Holographic Interference

Bhushan Poojary^*

Published in American Journal of Modern Physics (Volume 15, Issue 1)

Received: 13 January 2026 Accepted: 27 January 2026 Published: 9 February 2026

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Abstract

Background: The reconciliation of General Relativity with Quantum Mechanics remains the primary challenge in modern theoretical physics. Traditional approaches often assume a fixed background geometry, yet recent developments in string theory and loop quantum gravity suggest that spacetime is not fundamental but emergent. Specifically, the Holographic Principle implies that the information defining the bulk universe is encoded on a lower-dimensional boundary, raising the question of how a singular, classical reality arises from a quantum superposition of geometries. Purpose: This paper proposes a novel model of quantum cosmology where the observed spacetime is defined not as a pre-existing manifold, but as a macroscopic "ensemble average" of all possible spacetime fabrics. We aim to demonstrate that the perception of a unique physical reality is a result of holographic projection rather than intrinsic geometric properties. Methods: We utilize the AdS/CFT correspondence to model the universe as a holographic projection arising from a single, universal quantum state. By applying Feynman’s Path Integral formulation to the "superspace" of all possible metrics, we calculate the sum over histories for these geometric projections. We treat the emergence of classical spacetime as a process of constructive interference among infinite holographic realizations, filtering out unstable geometries through environmental decoherence.

Published in	American Journal of Modern Physics (Volume 15, Issue 1)
DOI	10.11648/j.ajmp.20261501.12
Page(s)	9-12
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2026. Published by Science Publishing Group

Keywords

Quantum Cosmology, Holographic Principle, Emergent Spacetime, AdS/CFT Correspondence, Path Integral Formulation, Quantum Darwinism, Born Rule

1. Introduction

The reconciliation of General Relativity (GR) and Quantum Mechanics (QM) remains the primary open problem in theoretical physics. GR treats spacetime as a smooth, continuous manifold, while QM treats it as a background stage for probabilistic events. Recent developments in the "It from Qubit" program suggest that spacetime itself may be a derivative concept—an emergent property of quantum entanglement

[7, 8]

This paper proposes a radical unification based on a singular postulate:

"There is one true quantum state encoded holographically; different spacetime fabrics reveal different projections of the same underlying reality."

In this framework, the universe does not possess a unique history. Instead, the "Universal Holographic State" (UHS)

[2]

projects an ensemble of possible geometries. What observers perceive as "physical law" is the statistical result of the most stable projection within this ensemble.

2. The Holographic Monad and Superspace

2.1. The Universal Holographic State (UHS)

We define the fundamental ontological unit not as a particle or a field, but as a pure quantum state

| ψ⟩

residing on a holographic boundary (dimension

D -1

). This state contains the total information of the bulk universe

[1, 12, 13]

(dimension

D

2.2. The Geometric Ensemble

Following Wheeler’s concept of "Superspace,"

[4]

we posit that

| ψ⟩

does not map to a single metric tensor

g_{μν}

Instead, it maps to a superposition of all physically possible metrics. The state of the universe is a wavefunctional

ψ [g]

over the space of geometries:

| ψ⟩ = \sum_{i}^{} c_{i} | g_{i}⟩

Where:

c_{i}

represents the complex amplitude.

| g_{i}⟩

represents a specific "spacetime fabric" or geometric configuration.

3. Mathematical Formulation: Spacetime as a Projection

3.1. The Projection Operator

To transform the abstract information of

| ψ⟩

into a physical manifold

M

, we introduce a class of projection operators

{\hat{P}}_{M} .

These operators act as "filters" that select specific entanglement structures from the boundary.

{\hat{P}}_{M} | ψ⟩ → M_{bulk}

{\hat{P}}_{M}

(The Projection Operator)

a) Mathematical Identity: This is a linear operator acting on the Hilbert space.

b) In our Paper: This represents the "Geometric Filter." It is the specific set of constraints or "laws" that selects one specific spacetime possibility out of the total ensemble.

c) The Subscript M: This refers to the specific Manifold or geometry being selected. Different operators (

{\hat{P}}_{M_{1}}, {\hat{P}}_{M_{2}}

d) ) would produce different universes.

ψ

(The Universal Holographic State)

e) Mathematical Identity: This is a Ket vector in Dirac notation, representing a quantum state.

f) In our Paper: This is the "One True State" or the Source Code. It is the boundary state containing the total information of the universe encoded holographically. It exists in the lower-dimensional boundary (the "film" of the hologram).

3) (The Mapping / Emergence)

g) Mathematical Identity: This represents a mapping or transformation function.

h) In our Paper: This represents the process of Holographic Emergence. It is the "dictionary" that translates abstract quantum entanglement (on the left) into physical geometry (on the right). It signifies the transition from "Information" to "Space."

M_{bulk}

(The Bulk Manifold)

i) Mathematical Identity: The script M usually denotes a Manifold (a topological space that resembles Euclidean space near each point). The subscript "bulk" refers to the higher-dimensional interior space in the AdS/CFT correspondence.

j) In our Paper: This is Observed Reality. It is the 4D spacetime fabric we actually inhabit. It is the "projected image" resulting from the operator acting on the source state.

The geometry of the resulting spacetime is defined by the Ryu-Takayanagi Formula, which connects the entanglement entropy (

S_{A}

) of the boundary to the area of minimal surfaces

Α

in the bulk

[3, 15]

S_{A} = \frac{A(γ_{A})}{4 G_{N}}

S_{A} :

Entanglement Entropy (Quantum Information).

A (γ_{A}) :

The Area of a surface in spacetime (Geometry).

4 G_{N}

: Newton’s Gravitational Constant (Gravity).

Here, the "fabric" of spacetime is literally woven from the entanglement threads of the UHS

[7]

. A "tear" in the entanglement corresponds to a disconnection in spacetime geometry (a non-traversable gap).

3.2. The Path Integral over Geometries

The observed reality is not a random selection but the result of quantum interference. The probability amplitude for the universe to evolve from geometry

g_{1}

g_{2}

is given by the Euclidean path integral summing over the ensemble

[5, 9]

Z= \int D[g] e^{-I \frac{[g]}{ℏ}}

This is the Euclidean Path Integral for Gravity (often associated with Stephen Hawking). It is the mathematical engine of your "Ensemble" hypothesis. It calculates the probability of a universe state by summing up all possible spacetime geometries.

Z

(The Partition Function): This represents the total "amplitude" or state of the universe. It is the sum of all possibilities.

\int D [g]

(The Path Integral Measure): This is the crucial part. It means "Integral over all metrics." Instead of summing numbers, you are summing over every possible shape of spacetime (the ensemble).

e^{- I \frac{[g]}{ℏ}}

(The Weighting Factor):

I[g]

is the Euclidean Action (the energy cost of a specific geometry).

b) The Exponent determines the probability. Geometries that follow Einstein's laws have a "low cost" (stationary action) and contribute the most. Weird, chaotic geometries have a "high cost" and fade away.

In this view, the "classical" spacetime we observe corresponds to the saddle point of this integral—the geometry where destructive interference is minimized and the phase is stationary.

4. The Emergent Born Rule and the Observer

A critical question arises: Why do we experience a specific probability of events (

P = {|ψ|}^{2}

)

4.1. The Observer as a Subsystem

The observer is not external to the system. The observer is a localized cluster of degrees of freedom within the projection.

4.2. Probability from Geometric Volume

We propose that the Born Rule is a measure of the "volume" of the Hilbert space occupied by a specific projection.

1) Rare, chaotic geometries cancel out (destructive interference).

2) Stable, consistent geometries (like our semi-classical universe) reinforce each other.

Therefore, probability is not fundamental. It is a derivative of spectral density within the ensemble. The probability of observing state

x

is proportional to the number of "fabrics" in the ensemble that are consistent with

x

4.3. Quantum Darwinism

The stability of our 4D spacetime is explained by Zurek’s Quantum Darwinism

[6, 10, 11]

. The "fabric" we inhabit is the one that has most successfully "copied" its information into the environment. We do not see a quantum foam because unstable projections decohere instantly; only the redundant, stable projections survive to be observed.

5. Discussion

5.1. Resolving the Fine-Tuning Problem

The Ensemble Projection Hypothesis eliminates the need for "fine-tuning" of cosmological constants. All constants exist within the ensemble; the observer necessarily finds themselves in a projection that supports complexity (the Anthropic Principle implies a Selection Effect on the projection operators).

5.2. Potential Falsifiability

If spacetime is an emergent ensemble, "noise" from the underlying holographic

[14]

interference might be detectable at the Planck scale. This could manifest as:

1) Holographic Noise in gravitational wave detectors (e.g., GEO600, LIGO).

2) Deviations in the CMB (Cosmic Microwave Background) suggesting non-local correlations consistent with a holographic source.

6. Conclusion

We have argued that the universe is not a single material object, but a holographic information process. By treating spacetime fabrics as projection operators acting on a Universal Holographic State, we unify the geometric view of gravity with the probabilistic nature of quantum mechanics.

In this model, reality is the stable residue of a holographic interference pattern, and the laws of physics are the selection rules that govern which projections survive in the ensemble.

Abbreviations

AdS/CFT	Anti-de Sitter/Conformal Field Theory
CMB	Cosmic Microwave Background
GR	General Relativity
QM	Quantum Mechanics
UHS	Universal Holographic State
LIGO	Laser Interferometer Gravitational-Wave Observatory
$G_{N}$	Newton’s Gravitational Constant

Author Contributions

Bhushan Poojary is the sole author. The author read and approved the final manuscript.

Conflicts of Interest

The author declares no conflicts of interest.

References

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[2]	Susskind, L. (1995). The World as a Hologram. Journal of Mathematical Physics, 36(11), 6377-6396. https://doi.org/10.1063/1.531249
[3]	Ryu, S., & Takayanagi, T. (2006). Holographic Derivation of Entanglement Entropy from the anti-de Sitter Space/Conformal Field Theory Correspondence. Physical Review Letters, 96(18), 181602. https://doi.org/10.1103/PhysRevLett.96.181602
[4]	Wheeler, J. A. (1968). Superspace and the Nature of Quantum Geometrodynamics. In Battelle Rencontres (pp. 242-307). Benjamin. https://doi.org/10.1007/978-3-642-88504-4_7
[5]	Hawking, S. W. (1979). Euclidean Quantum Gravity. In General Relativity: An Einstein Centenary Survey (pp. 746-789). Cambridge University Press.
[6]	Zurek, W. H. (2009). Quantum Darwinism. Nature Physics, 5(3), 181-188. https://doi.org/10.1038/nphys1202
[7]	Van Raamsdonk, M. (2010). Building up spacetime with quantum entanglement. General Relativity and Gravitation, 42(10), 2323-2329. https://doi.org/10.1007/s10714-010-1034-0
[8]	Banados, M., Bianchi, E., Munoz, I., & Skenderis, K. (2023). Bulk renormalization and the AdS/CFT correspondence. Physical Review D, 107(2), 021901. https://doi.org/10.1103/PhysRevD.107.L021901
[9]	Dias, O. J., Gibbons, G. W., Santos, J. E., & Way, B. (2023). Static black binaries in de Sitter. Physical Review Letters, 131(13), 131401. https://doi.org/10.1103/PhysRevLett.131.131401
[10]	Zwolak, M. (2022). Amplification, Inference, and the Manifestation of Objective Classical Information. Entropy, 24(6), 781. https://doi.org/10.3390/e24060781
[11]	Ollivier, H. (2022). Emergence of Objectivity for Quantum Many-Body Systems. Entropy, 24(2), 277. https://doi.org/10.3390/e24020277
[12]	Martinec, E. J., Massai, S., & Turton, D. (2023). On the BPS Sector in AdS3/CFT2 Holography. Fortschritte der Physik, 71(4-5), 2300015. https://doi.org/10.1002/prop.202300015
[13]	Parisini, E., Skenderis, K., & Withers, B. (2023). Embedding formalism for CFTs in general states on curved backgrounds. Physical Review D, 107(6), 066022. https://doi.org/10.1103/PhysRevD.107.066022
[14]	Haehl, F., Mezei, M., Choi, C., & Sarosi, G. (2023). Effective description of sub-maximal chaos. Journal of High Energy Physics, 2023(3), 1-45. https://doi.org/10.1007/JHEP03(2023)178
[15]	Bufalini, D., Iguri, S., Kovensky, N., & Turton, D. (2023). Worldsheet computation of heavy-light correlators. Journal of High Energy Physics, 2023(3), 066. https://doi.org/10.1007/JHEP03(2023)066

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Poojary, B. (2026). The Ensemble Projection Hypothesis: Spacetime Emergence from Holographic Interference. American Journal of Modern Physics, 15(1), 9-12. https://doi.org/10.11648/j.ajmp.20261501.12

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ACS Style

Poojary, B. The Ensemble Projection Hypothesis: Spacetime Emergence from Holographic Interference. Am. J. Mod. Phys. 2026, 15(1), 9-12. doi: 10.11648/j.ajmp.20261501.12

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AMA Style

Poojary B. The Ensemble Projection Hypothesis: Spacetime Emergence from Holographic Interference. Am J Mod Phys. 2026;15(1):9-12. doi: 10.11648/j.ajmp.20261501.12

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@article{10.11648/j.ajmp.20261501.12,
  author = {Bhushan Poojary},
  title = {The Ensemble Projection Hypothesis: Spacetime Emergence from Holographic Interference},
  journal = {American Journal of Modern Physics},
  volume = {15},
  number = {1},
  pages = {9-12},
  doi = {10.11648/j.ajmp.20261501.12},
  url = {https://doi.org/10.11648/j.ajmp.20261501.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20261501.12},
  abstract = {Background: The reconciliation of General Relativity with Quantum Mechanics remains the primary challenge in modern theoretical physics. Traditional approaches often assume a fixed background geometry, yet recent developments in string theory and loop quantum gravity suggest that spacetime is not fundamental but emergent. Specifically, the Holographic Principle implies that the information defining the bulk universe is encoded on a lower-dimensional boundary, raising the question of how a singular, classical reality arises from a quantum superposition of geometries. Purpose: This paper proposes a novel model of quantum cosmology where the observed spacetime is defined not as a pre-existing manifold, but as a macroscopic "ensemble average" of all possible spacetime fabrics. We aim to demonstrate that the perception of a unique physical reality is a result of holographic projection rather than intrinsic geometric properties. Methods: We utilize the AdS/CFT correspondence to model the universe as a holographic projection arising from a single, universal quantum state. By applying Feynman’s Path Integral formulation to the "superspace" of all possible metrics, we calculate the sum over histories for these geometric projections. We treat the emergence of classical spacetime as a process of constructive interference among infinite holographic realizations, filtering out unstable geometries through environmental decoherence.},
 year = {2026}
}

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TY  - JOUR
T1  - The Ensemble Projection Hypothesis: Spacetime Emergence from Holographic Interference
AU  - Bhushan Poojary
Y1  - 2026/02/09
PY  - 2026
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T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
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PB  - Science Publishing Group
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VL  - 15
IS  - 1
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Author Information

Bhushan Poojary

Bachelor of Science Physics, NIMS University, Jaipur, India

Contact Email

http://orcid.org/0000-0002-5122-0236

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Poojary, B. (2026). The Ensemble Projection Hypothesis: Spacetime Emergence from Holographic Interference. American Journal of Modern Physics, 15(1), 9-12. https://doi.org/10.11648/j.ajmp.20261501.12

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ACS Style

Poojary, B. The Ensemble Projection Hypothesis: Spacetime Emergence from Holographic Interference. Am. J. Mod. Phys. 2026, 15(1), 9-12. doi: 10.11648/j.ajmp.20261501.12

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AMA Style

Poojary B. The Ensemble Projection Hypothesis: Spacetime Emergence from Holographic Interference. Am J Mod Phys. 2026;15(1):9-12. doi: 10.11648/j.ajmp.20261501.12

Copy | Download

@article{10.11648/j.ajmp.20261501.12,
  author = {Bhushan Poojary},
  title = {The Ensemble Projection Hypothesis: Spacetime Emergence from Holographic Interference},
  journal = {American Journal of Modern Physics},
  volume = {15},
  number = {1},
  pages = {9-12},
  doi = {10.11648/j.ajmp.20261501.12},
  url = {https://doi.org/10.11648/j.ajmp.20261501.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20261501.12},
  abstract = {Background: The reconciliation of General Relativity with Quantum Mechanics remains the primary challenge in modern theoretical physics. Traditional approaches often assume a fixed background geometry, yet recent developments in string theory and loop quantum gravity suggest that spacetime is not fundamental but emergent. Specifically, the Holographic Principle implies that the information defining the bulk universe is encoded on a lower-dimensional boundary, raising the question of how a singular, classical reality arises from a quantum superposition of geometries. Purpose: This paper proposes a novel model of quantum cosmology where the observed spacetime is defined not as a pre-existing manifold, but as a macroscopic "ensemble average" of all possible spacetime fabrics. We aim to demonstrate that the perception of a unique physical reality is a result of holographic projection rather than intrinsic geometric properties. Methods: We utilize the AdS/CFT correspondence to model the universe as a holographic projection arising from a single, universal quantum state. By applying Feynman’s Path Integral formulation to the "superspace" of all possible metrics, we calculate the sum over histories for these geometric projections. We treat the emergence of classical spacetime as a process of constructive interference among infinite holographic realizations, filtering out unstable geometries through environmental decoherence.},
 year = {2026}
}

Copy | Download

TY  - JOUR
T1  - The Ensemble Projection Hypothesis: Spacetime Emergence from Holographic Interference
AU  - Bhushan Poojary
Y1  - 2026/02/09
PY  - 2026
N1  - https://doi.org/10.11648/j.ajmp.20261501.12
DO  - 10.11648/j.ajmp.20261501.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 9
EP  - 12
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20261501.12
AB  - Background: The reconciliation of General Relativity with Quantum Mechanics remains the primary challenge in modern theoretical physics. Traditional approaches often assume a fixed background geometry, yet recent developments in string theory and loop quantum gravity suggest that spacetime is not fundamental but emergent. Specifically, the Holographic Principle implies that the information defining the bulk universe is encoded on a lower-dimensional boundary, raising the question of how a singular, classical reality arises from a quantum superposition of geometries. Purpose: This paper proposes a novel model of quantum cosmology where the observed spacetime is defined not as a pre-existing manifold, but as a macroscopic "ensemble average" of all possible spacetime fabrics. We aim to demonstrate that the perception of a unique physical reality is a result of holographic projection rather than intrinsic geometric properties. Methods: We utilize the AdS/CFT correspondence to model the universe as a holographic projection arising from a single, universal quantum state. By applying Feynman’s Path Integral formulation to the "superspace" of all possible metrics, we calculate the sum over histories for these geometric projections. We treat the emergence of classical spacetime as a process of constructive interference among infinite holographic realizations, filtering out unstable geometries through environmental decoherence.
VL  - 15
IS  - 1
ER  -

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