Experimental and Computational Validation of the Palindromic Entangled Elastic Crystal Time Strings (PEECTS) Theory

Author: Wilfredo Santa Gómez, MD

Affiliation: HMCDC

Date: September 2023

Abstract

The Palindromic Entangled Elastic Crystal Time Strings (PEECTS) theory proposes a radical shift in the understanding of time as an elastic structured field, capable of oscillatory deformations, quantum entanglement, and residual gravitational effects. Integrating concepts from General Relativity (GR), Modified Newtonian Dynamics (MOND), and Quantum Mechanics (QM), this framework postulates that the elasticity of time influences gravitational anomalies, quantum coherence, and the inconsistencies observed in cosmological data, such as the Hubble tension.

This study introduces computational models and proposes experimental methods to validate the theory:

1. Quantum Computing & Entanglement:

Simulations indicate that elastic time conditions sustain quantum entanglement over longer periods, suggesting testable predictions using quantum optics setups.

2. Gravitational Wave Memory Effects:

PEECTS predicts residual distortions in post-merger gravitational waveforms, potentially detectable by LIGO and LISA, revealing the elastic nature of time.

3. Cosmological Expansion & Hubble Tension:

By introducing oscillatory corrections to the Hubble parameter, PEECTS offers a new approach to resolving discrepancies between supernova and Cosmic Microwave Background (CMB) data.

This paper outlines the theoretical underpinnings, computational simulations, and specific experimental pathways to validate PEECTS.

1. Introduction

The nature of time remains a profound mystery in physics. In General Relativity (GR), time is treated as a continuous, deformable dimension influenced by gravity, while in Quantum Mechanics (QM), time is considered an absolute, external parameter. This discord presents challenges in unifying the two theories.

The Palindromic Entangled Elastic Crystal Time Strings (PEECTS) theory posits that time is an elastic, oscillatory field that interacts dynamically with matter and energy. This framework provides a unified approach to explaining gravitational anomalies, quantum entanglement longevity, and cosmological inconsistencies.

Visual 1: Venn diagram illustrating the intersection of GR, QM, and MOND, with PEECTS at the center as the unifying theory.

2. Theoretical Framework

2.1 Time Elasticity Model

The PEECTS framework models time as an elastic field, mathematically expressed as:

T(t, x) = t + Σ (epsilon_n * sin(omega_n * t – k_n * x))

Where:

• t = Standard linear time

• epsilon_n = Amplitude of the nth oscillatory component

• omega_n = Angular frequency of oscillation

• k_n = Spatial wave vector

This formulation suggests that time experiences oscillatory deformations, leading to localized and global variations in the flow of time.

The governing dynamics of this elastic time field follow a modified wave equation:

(d²T/dt²) – kappa * ∇²T + zeta * (dT/dt) = alpha * rho + beta * R

Where:

• kappa = Elastic modulus of time

• zeta = Damping coefficient

• alpha, beta = Coupling constants relating time elasticity to energy density (rho) and spacetime curvature (R)

Visual 2: 3D plot of sinusoidal time oscillations across space.

3. Computational Simulations

3.1 Quantum Computing and Time Elasticity

Quantum coherence is typically fragile, often disrupted by environmental noise. By incorporating time elasticity into the Schrödinger equation, the PEECTS model suggests enhanced coherence longevity:

i * hbar * (dψ/dT) = [- (hbar² / 2m) * ∇² + V(x, T)] * ψ

Where:

• ψ = Quantum wave function

• m = Particle mass

• V(x, T) = Time-dependent potential

Results:

Simulations reveal that elastic time fields cause oscillatory coherence persistence, allowing entangled quantum states to survive longer than predicted by standard models.

Experimental Proposal: Quantum optics experiments using high-Q cavity setups to measure the impact of time elasticity on quantum coherence.

Visual 3: Time series plot comparing coherence decay in standard vs. PEECTS-modified environments.

3.2 Gravitational Wave Propagation in Elastic Time

PEECTS modifies Einstein’s field equations to incorporate time elasticity, leading to predicted residuals in gravitational waveforms:

G_mu_nu + lambda * T_mu_nu = (8 * pi * G / câ´) * (T_mu_nu + delta_T_mu_nu)

Where:

• G_mu_nu = Einstein tensor

• T_mu_nu = Stress-energy tensor

• delta_T_mu_nu = Additional energy contributions from time elasticity

Results:

Post-merger gravitational wave simulations reveal residual distortions—gravitational memory effects—consistent with the elastic time model.

Experimental Proposal: Re-analyze LIGO/LISA data for persistent waveform anomalies that could validate PEECTS predictions.

Visual 4: Overlay of standard and PEECTS-modified gravitational waveforms highlighting residuals.

3.3 Cosmological Expansion and the Hubble Tension

The discrepancy between local measurements of the Hubble constant and those inferred from CMB data—the Hubble tension—has become a significant challenge in cosmology. PEECTS introduces oscillatory corrections to the Hubble parameter:

H(z) = H_0 * (1 + gamma * sin(omega * T(z))) * sqrt(Omega_m * (1 + z)³ + Omega_Lambda)

Where:

• H(z) = Hubble parameter at redshift z

• H_0 = Present-day Hubble constant

• gamma = Amplitude of oscillatory correction

• omega = Frequency of time oscillation

• Omega_m, Omega_Lambda = Matter and dark energy density parameters

Results:

This model aligns local supernova data with CMB observations, offering a resolution to the Hubble tension.

Experimental Proposal: Apply PEECTS-modified Hubble models to Pantheon+ supernova datasets and compare with Planck CMB data.

Visual 5: Hubble parameter curves comparing standard and PEECTS models.

4. Experimental Validation Proposals

Domain Experimental Method Expected Outcome

Quantum Mechanics High-Q cavity photon coherence tests Enhanced coherence duration

Gravitational Wave Astronomy LIGO/LISA post-merger waveform analysis Detection of residual distortions

Cosmology Supernova and CMB data reanalysis Reconciliation of Hubble constant discrepancies

Visual 6: Flowchart summarizing experimental approaches for validating PEECTS.

5. Conclusion

The PEECTS theory provides a novel perspective on time as an elastic, oscillatory field with profound implications across quantum mechanics, gravitational wave astronomy, and cosmology. By reconciling anomalies within existing models and providing clear experimental pathways for validation, PEECTS positions itself as a potential bridge between the foundational theories of modern physics.

6. References

1. Einstein, A. The Foundation of the General Theory of Relativity. Annalen der Physik, 1916.

2. Planck Collaboration. Planck 2018 Results. Astronomy & Astrophysics, 2020.

3. LIGO Scientific Collaboration. Observation of Gravitational Waves from a Binary Black Hole Merger. Physical Review Letters, 2016.

4. Riess, A. G., et al. New Parallaxes of Galactic Cepheids from Spatially Scanning the Hubble Space Telescope. The Astrophysical Journal, 2018.

5. Santa Gómez, W. Palindromic Time Structures: A New Frontier in Theoretical Physics. HMCDC, 2024.

Graphical Abstract:

A composite illustration showing:

• Sinusoidal deformations of time across a 4D spacetime grid

• Quantum entanglement diagrams within the elastic time framework

• Gravitational waveforms with highlighted residual distortions

• Modified Hubble curves addressing the Hubble tension

Are you a scientist, you want to test your experimental models ? Visit WSanta-PEECTS-Kronos Virtual Laboratory (MIT Licensed), repositories.)

https://github.com/WSantaKronosPEECTS