Quantum Memory Matrix: Difference between revisions

Revision as of 23:20, 22 July 2025

Revision as of 11:13, 23 July 2025

Line 1:

{{orphan|date=July 2025}}

{{Short description|Emerging theory of quantum information}}

{{Infobox

| title = Quantum Memory Matrix

Line 32 ⟶ 30:

===Lattice structure===

* '''Cells and topology.''' QMM discretizes space-time as a four-dimensional cubic lattice&nbsp;<math>\mathcal{X}\simeq\mathbb{Z}^4</math> with spacing&nbsp;<math>a\approx\ell_P</math>. Each site ''x'' hosts a finite Hilbert space&nbsp;<math>\mathcal{H}_x\cong\mathbb{C}^d</math>, so the global kinematic space factorizes into&nbsp;<math>\mathcal{H}_{\text{QMM}}=\bigotimes_{x\in\mathcal{X}}\mathcal{H}_x</math>. Local imprint generators commute at space-like separation, ensuring microcausality; information spreads through a nearest-neighbor Hamiltonian&nbsp;<math>\hat H=\sum_{\langle x,y\rangle}J\,\hat\sigma_x\hat\sigma_y+\sum_x\lambda\,\hat\phi(x)\otimes\hat\sigma_x</math>.

* '''Emergent metric.''' Lattice connectivity is encoded in an adjacency matrix <math>A_{xy}</math> (equal to 1 for nearest neighbors). On coarse scales the block-averaged metric is

::<math>g_{\mu\nu}(X)=\alpha\sum_{x,y\in\mathcal{B}(X)}A_{xy}(\Delta x)_{\mu}(\Delta x)_{\nu}</math> where&nbsp;<math>\mathcal{B}(X)</math> is an <math>L^{4}</math> block centered on macroscopic coordinate ''X'' and α is a normalization constant.<ref name="Neukart2024" />

Line 66 ⟶ 63:

The imprint map factorizes into a data qubit and two memory qubits: <math>\hat I=\mathrm{CNOT}_{12}\mathrm{CNOT}_{13}</math>. After idle time ''τ'', logical recovery

:<math>\hat R=\hat I^{\dagger}e^{-iH_{\text{noise}}\tau}\hat I</math>

raises fidelity to <math>F_{\text{logical}}\approx0.94</math>, 32 % above the bare code.<ref name="AQT" />

===Information-well cosmology===

Line 102 ⟶ 99:

A dedicated hardware study on IBM’s 127-qubit '''ibm_kyiv''' and '''ibm_brisbane''' devices implemented five imprint–retrieval circuits that scale from a minimal three-qubit cell to a dual five-qubit cycle.<ref>{{cite arXiv |last1=Neukart |first1=Florian |last2=Marx |first2=Eike |last3=Vinokur |first3=Valerii |eprint=2502.15766v2 |title=Reversible Imprinting and Retrieval of Quantum Information: Experimental Verification of the Quantum Memory Matrix Hypothesis |date=2025 |class=physics.gen-ph }}</ref>

* The baseline three-qubit cycle reached a retrieval fidelity of <math>F_{\text{retr}} = 0.732 \pm 0.012</math>.

* Adding a second, independent memory cell preserved fidelity within 3 % (five-qubit dual cycle, <math>F = 0.704 \pm 0.014</math>).

* Phase-evolution and controlled-error runs confirmed reversibility: deliberate phase errors (δ = π⁄8) were corrected to <math>F = 0.684 \pm 0.014</math>, while control runs without injected noise restored the baseline value.

Mutual-information analyses and Pearson correlations between field and output registers excluded classical leakage, establishing unitary, local storage and recovery of quantum information as predicted by QMM.

Line 109 ⟶ 106:

A follow-up experiment integrated a '''single-layer QMM dressing''' ahead of a length-3 repetition code on the same hardware.<ref>{{cite journal |last=Neukart |first=Florian |title=QMM-Enhanced Error Correction: Demonstrating Reversible Imprinting and Retrieval for Robust Quantum Computation |journal=Advanced Quantum Technologies |volume=?? |year=2025 |article-number=e2500262 |doi=10.1002/qute.202500262 |url=https://advanced.onlinelibrary.wiley.com/doi/10.1002/qute.202500262|url-access=subscription }}</ref>

* The hybrid “QMM + Rep-3” block achieved a logical fidelity of <math>F_{\text{logical}} = 0.941 \pm 0.004</math>, a '''32 % improvement''' over the bare repetition code at identical two-qubit-gate cost.

* Noise-calibrated simulations showed that stacking three QMM layers brings the logical error rate to within 20 % of a distance-three surface code while using an order of magnitude fewer qubits.

Because the imprint layer is fully unitary and measurement-free, it operates as a lightweight "booster" compatible with architectures where rapid stabilizer read-out is impractical, providing empirical support for the broader claim that space-time may function as a distributed quantum memory.

Line 116 ⟶ 113:

* '''μ-distortions and PTA background''' – Spectral CMB distortions and a nanohertz gravitational-wave background from imprint-seeded PBHs.<ref name="PBH" />

* '''Small CP-phase shifts''' – <math>\mathcal{O}(10^{-4})</math> corrections to CKM/PMNS phases from imprint loops.<ref name="Neukart2025SW" />

* '''LISA-band gravitational waves''' – A predicted stochastic signal at 0.1–1 &nbsp;Hz from an imprint-driven phase transition.<ref name="PBH" />

* '''Ultra-high-energy cosmic rays''' – Spectral suppression above 5 × 10¹⁹ eV due to the Planck-cell cutoff.<ref name="Neukart2024" />

Line 123 ⟶ 120:

* ''New Scientist'' ran a feature story written by Neukart<ref name="NSArt">{{cite news |last=Neukart |first=Florian |date=31 May 2025 |title=The radical idea that space-time remembers could upend cosmology |url=https://www.newscientist.com/article/2482841-the-radical-idea-that-space-time-remembers-could-upend-cosmology/ |access-date=13 July 2025 |work=New Scientist}}</ref> which was covered by ''Popular Mechanics<ref name="PopMech">{{cite news |last=Orf |first=Darren |date=24 April 2024 |title=Physicists Discover Memory Cells in Space-Time |url=https://www.popularmechanics.com/science/a65178424/memory-cells/ |access-date=13 July 2025 |work=Popular Mechanics}}</ref> and The Quantum Insider.<ref name="TQI">{{cite news |date=11 December 2024 |title=Welcome to the Quantum Memory Matrix Hypothesis |url=https://thequantuminsider.com/2024/12/11/welcome-to-the-quantum-memory-matrix-hypothesis-offers-new-insight-into-black-hole-information-paradox/ |access-date=13 July 2025 |work=The Quantum Insider}}</ref>''

* A summary and commentary of a video by new scientist was put out by ''ScienceReader''<ref name="ScienceReader">{{cite web |title=Does Space-Time Remember? |website=ScienceReader |date=18 June 2025 |url=https://sciencereader.com/florian-neukart-does-space-time-remember/ |access-date=13 July 2025}}</ref>

* International outlets also reported on the hypothesis and covered the New Scientist article:

** ''Géo'' (France) called it "la théorie qui pourrait absolument tout bouleverser."<ref>{{cite web |title=Et si l'espace-temps était doté d'une mémoire ? La théorie qui pourrait absolument tout bouleverser |website=Géo |date=17 Jun 2025 |url=https://www.geo.fr/sciences/et-si-lespace-temps-etait-dote-dune-memoire-la-theorie-qui-pourrait-absolument-tout-bouleverser-227116}}</ref>