Abstract: This paper discusses quantum-inspired models of Livings from the viewpoint of the second law of thermodynamics. It concentrates on Hadamard’s instability of the corresponding parabolic PDE for motions against the time arrow. The instability is removed by adding imaginary components to state variables. The evolution from present to past in a virtual (mental) space is interpreted as memories of the Livings under consideration. Quantum-like entanglement of memories and real motions are found and discussed.Abstract: This paper discusses quantum-inspired models of Livings from the viewpoint of the second law of thermodynamics. It concentrates on Hadamard’s instability of the corresponding parabolic PDE for motions against the time arrow. The instability is removed by adding imaginary components to state variables. The evolution from present to past in a virtual (mental) space is interpreted as memories of the Livings under consideration. Quantum-like entanglement of memories and real motions are found and discussed.

Jan 1, 20121 citation

Altering the Remote Past

Alexander Afriat

Foundations of Physics LettersJun 1, 20031 citation

Back from the future

Federico Levi

Nature PhysicsJul 31, 20140 citations

Can future observation influence the past of entangled neutral K-mesons?

J. Bernabéu, ANTONIO DI DOMENICO

The Einstein-Podolsky-Rosen (EPR) entanglement of a neutral K-meson (kaon) pair enjoys the peculiar quantum behaviour of mixing, charge-parity ${\cal CP}$ violation ( ${\cal C}$ - charge conjugation, ${\cal P}$ - parity) and two non-orthogonal eigenstates of definite time evolution $K_L$ and $K_S$ with very different lifetimes. The dynamics of this strange entanglement, experimentally accessible at the $\phi$ -factory, makes possible the search for novel phenomena not accessible in any other system, i.e. at interference times and at decoherence times of the single partners after their disentanglement, in order to unveil the nature of the correlation between the two neutral kaons. Until now, the studies have been concentrated on the single kaon intensity distribution between the two decay times $t_1$ and $t_2$ with $\Delta t = t_2 - t_1 > 0$ . Here we show that the entire two single time distributions, before each decay, are physical in both senses: past to future, leading to the state of the living partner at time $t_2$ from the observation of the first decay channel at $t_1$ , and future to past, leading to the past state of the decayed kaon at time $t_1$ from the observation of the second decay channel at $t_2$ . Our results thus demonstrate an affirmative answer to the title: it does, the past decayed state depends on the result of the future measurement for the living partner. This novel effect is truly observable through the first decay time distributions. Besides the implications for quantum physics for all $\Delta t$ , at large decoherence times the resulting first decayed state is always $K_S$ , providing a genuine tag of this kaon state in the decoherence region, and a unique and important experimental tool to prepare a pure $K_S$ beam.The Einstein-Podolsky-Rosen (EPR) entanglement of a neutral K-meson (kaon) pair enjoys the peculiar quantum behaviour of mixing, charge-parity ${\cal CP}$ violation (${\cal C}$ - charge conjugation, ${\cal P}$ - parity) and two non-orthogonal eigenstates of definite time evolution $K_L$ and $K_S$ with very different lifetimes. The dynamics of this strange entanglement, experimentally accessible at the $\phi$-factory, makes possible the search for novel phenomena not accessible in any other system, i.e. at interference times and at decoherence times of the single partners after their disentanglement, in order to unveil the nature of the correlation between the two neutral kaons. Until now, the studies have been concentrated on the single kaon intensity distribution between the two decay times $t_1$ and $t_2$ with $\Delta t = t_2 - t_1 > 0$. Here we show that the entire two single time distributions, before each decay, are physical in both senses: past to future, leading to the state of the living partner at time $t_2$ from the observation of the first decay channel at $t_1$, and future to past, leading to the past state of the decayed kaon at time $t_1$ from the observation of the second decay channel at $t_2$. Our results thus demonstrate an affirmative answer to the title: it does, the past decayed state depends on the result of the future measurement for the living partner. This novel effect is truly observable through the first decay time distributions. Besides the implications for quantum physics for all $\Delta t$, at large decoherence times the resulting first decayed state is always $K_S$, providing a genuine tag of this kaon state in the decoherence region, and a unique and important experimental tool to prepare a pure $K_S$ beam.

Dec 10, 20191 citation

Can future observation of the living partner post-tag the past decayed state in entangled neutral K mesons?

J. Bernabéu, ANTONIO DI DOMENICO

Entangled neutral $K$ mesons allow for the study of their correlated dynamics at interference and decoherence times not accessible in any other system. We find novel quantum phenomena associated to a correlation in time between the two partners: The past state of the first decayed kaon, when it was entangled before its decay, is post-tagged by the result and the time of the future observation of the second decay channel. This surprising ``from future to past'' effect is fully observable and leads to the unique experimental tag of the ${K}_{S}$ state, an unsolved problem since the discovery of $CP$ violation.Entangled neutral $K$ mesons allow for the study of their correlated dynamics at interference and decoherence times not accessible in any other system. We find novel quantum phenomena associated to a correlation in time between the two partners: The past state of the first decayed kaon, when it was entangled before its decay, is post-tagged by the result and the time of the future observation of the second decay channel. This surprising ``from future to past'' effect is fully observable and leads to the unique experimental tag of the ${K}_{S}$ state, an unsolved problem since the discovery of $CP$ violation.

arXiv:1912.04798Physical review. D/Physical review. D.Jun 3, 202210 citations

The living state

Albert Szent‐Györgyi, Jane A. McLaughlin

International Journal of Quantum ChemistryJun 18, 200937 citations

The Einstein-Podolsky-Rosen (EPR) entanglement of a neutral K-meson (kaon) pair enjoys the peculiar quantum behaviour of mixing, charge-parity

{\cal CP}

violation (

{\cal C}

- charge conjugation,

{\cal P}

- parity) and two non-orthogonal eigenstates of definite time evolution

K_L

and

K_S

with very different lifetimes. The dynamics of this strange entanglement, experimentally accessible at the

\phi

-factory, makes possible the search for novel phenomena not accessible in any other system, i.e. at interference times and at decoherence times of the single partners after their disentanglement, in order to unveil the nature of the correlation between the two neutral kaons. Until now, the studies have been concentrated on the single kaon intensity distribution between the two decay times

t_1

and

t_2

with

\Delta t = t_2 - t_1 > 0

. Here we show that the entire two single time distributions, before each decay, are physical in both senses: past to future, leading to the state of the living partner at time

t_2

from the observation of the first decay channel at

t_1

, and future to past, leading to the past state of the decayed kaon at time

t_1

from the observation of the second decay channel at

t_2

. Our results thus demonstrate an affirmative answer to the title: it does, the past decayed state depends on the result of the future measurement for the living partner. This novel effect is truly observable through the first decay time distributions. Besides the implications for quantum physics for all

\Delta t

, at large decoherence times the resulting first decayed state is always

K_S

, providing a genuine tag of this kaon state in the decoherence region, and a unique and important experimental tool to prepare a pure

K_S

beam.

Entangled neutral

K

mesons allow for the study of their correlated dynamics at interference and decoherence times not accessible in any other system. We find novel quantum phenomena associated to a correlation in time between the two partners: The past state of the first decayed kaon, when it was entangled before its decay, is post-tagged by the result and the time of the future observation of the second decay channel. This surprising ``from future to past'' effect is fully observable and leads to the unique experimental tag of the

{K}_{S}

state, an unsolved problem since the discovery of

CP

violation.