Unifying Quantum mechanics and General Relativity
Our Focus
General relativity (GR) and quantum mechanics (QM) remain incompatible in extreme conditions, such as singularities in black holes. FTFT introduces a quantized temporal field, leading to discrete time evolution at the Planck scale. This quantization modifies spacetime dynamics, affecting the behavior of black holes and gravitational waves.
- Unlike classical and relativistic physics, where time is treated as a continuous parameter, FTFT introduces a quantized temporal field.
- Time evolves in discrete steps at extremely small scales, similar to how space is treated in LQG.
FTFT Key Findings and Implications
FTFT Observations, achievements, predictions, and its role in resolving singularity:
TFT Summary observations, achievements, predictions, and its role in resolving singularities:
Observations Supporting FTFT- Black hole shadow shifts (2% for M87*, 3% for Sgr A*)
- Possible gravitational wave echoes in LIGO/Virgo data
- Deviations in black hole entropy corrections compared to GR, String Theory, and LQG
- Potential resonance signals in collider physics (HL-LHC, 3 TeV range)
Key Achievements- Formulated a quantized time framework
- Derived FTFT field equations in higher-dimensional spacetime
- Established UV-complete behavior at 3-loop level
- Numerical simulations of Kerr black hole modifications
- Connected FTFT entropy corrections to holography and LQG spin foams
Predictions of FTFT- Modifications to black hole shadows and lensing
- Quantum gravity effects visible in gravitational wave echoes
- Unique collider signatures (e.g., deviations in Higgs coupling, extra-dimensional graviton resonances)
- Possible experimental detection of time quantization effects (e.g., Holometer upgrades)
Resolving Singularities - FTFT removes singularities by introducing oscillatory time speed corrections
- Predicts finite entropy corrections, avoiding infinite curvature at singularity
- Replaces classical singularities with a quantum-regulated region
- Possible transition from singularity to a new phase of quantum gravity
Analysis of FTFT Signal vs. Standard Model (SM) Background in High-Energy Collisions
- FTFT produces a clean, high-yield signal that annihilates SM background in all analyses.
- Time-domain oscillations (Δt) and spectral peaks (2.5×10142.5×1014 Hz) provide unique discriminators.
Why This Matters:
- The τ2/τ1∼0.25τ2/τ1∼0.25 correlation is a smoking gun for FTFT.
- No background contamination → 100% pure signal.
1. Modification of Einstein’s Equations
- The introduction of a dynamical time-speed factor alters gravitational field equations, leading to new predictions for black hole physics, cosmology, and gravitational waves.
2. Black Hole Physics
- Kerr Black Hole Shadows: FTFT modifies the shadow radius by ~2% for M87* and ~3% for Sgr A* compared to GR.
- Evaporation and Entropy: FTFT predicts deviations in Hawking radiation and entropy corrections similar to those in String Theory and Loop Quantum Gravity (LQG).
- Rotating Wormholes: The theory suggests that wormhole throats oscillate and stabilize over time, unlike traditional GR solutions.
3. Gravitational Waves and Echoes
- LIGO-Virgo-KAGRA Data: Bayesian model selection indicates that FTFT competes with LQG and String Theory in explaining gravitational wave observations.
- Echo Signatures: FTFT-induced time fluctuations create stronger, more detectable echoes compared to LQG, String Theory, and Nonlocal Gravity.
4. Unification with Loop Quantum Gravity and String Theory
- Integrating FTFT’s quantized temporal field into LQG’s spin network formalism modifies quantum spacetime at the Planck scale.
- Higher-dimensional brane models within FTFT suggest new perspectives on String Theory’s extra dimensions.
5. Experimental Tests and Future Research
- FTFT predicts deviations in black hole imaging (Event Horizon Telescope data) and gravitational wave signals (LIGO-Virgo-KAGRA).
. FTFT’s Quantized Temporal Field
FTFT introduces a temporal quantum field T(x), where:
- The speed of time fluctuates dynamically with a new field equation.
- These fluctuations affect causal structure, black hole horizons, and gravitational waves.
- Temporal fluctuations introduce an effective energy correction into quantum gravity.
A key proposal is to embed FTFT’s quantized time fluctuations into LQG’s spin network evolution by modifying the spin foam amplitudes.
Analysis of data from the Large Hadron Collider (LHC) and ATLAS experiments at center-of-mass energy
7 TeV analysis" refers to the study of particle collisions at a center-of-mass energy of 7 teraelectronvolts (TeV) 8 TeV data, specifically from the ATLAS experiment at the Large Hadron Collider (LHC)
FTFT (7 TeV) and FTFT (8 TeV): Predictions based on previous analyses
Theory Energy Scale Signal Events Background Events Significance
FTFT (7 TeV) 7 TeV ~ 7 events ~1-3 events S/B∼4−7
FTFT (8 TeV) 8 TeV ~5 events ~1-2 events S/B∼3−6
String Theory Various Varies Varies Varies
Loop Quantum G Planck scale N /A N/A N/A
Asymptotic Safety TeV scale N/A N/A N/A
FTFT extend SUSY-GUT frameworks
FTFT’s core principle is a temporal field (T) that induces long-lived decays in a SUSY-GUT context, with κT0=1016 GeV \kappa T_0 = 10^{16} \, \text{GeV} κT0=1016GeV and mG=1 GeV m_G = 1 \, \text{GeV} mG=1GeV as key scales. Findings show it’s detectable at HL-LHC (S/B=13.7 S/\sqrt{B} = 13.7 S/B=13.7 at σ=3×10−4 fb \sigma = 3 \times 10^{-4} \, \text{fb} σ=3×10−4fb), robust across mg~ m_{\tilde{g}} mg~, pileup, and systematics, with a discovery threshold at σ≥2.0×10−4 fb \sigma \geq 2.0 \times 10^{-4} \, \text{fb} σ≥2.0×10−4fb. To advance, we’d need to formalize its Lagrangian and test cosmological predictions
time is the fundamental dimension of the universe, and space
Why FTFT Matters 🔹 Provides a natural quantum gravity framework 🔹 Explains black hole modifications and gravitational wave echoes 🔹 Enhances early universe cosmology without requiring new exotic fields 🔹 Unifies aspects of GR, QM, LQG, and String Theory
- FTFT introduces a quantized temporal field, which allows both space and time to be treated on equal footing in a quantum gravity framework. This could resolve long-standing conflicts between General Relativity (GR) and Quantum Mechanics, providing a self-consistent way to quantize gravity.
- Wormhole Stability: FTFT’s oscillating temporal field may allow naturally stable traversable wormholes, avoiding the need for exotic negative-energy matter.
- Observability: FTFT predicts unique gravitational lensing signatures of wormholes, potentially detectable in deep-space surveys (e.g., HST, Euclid).
- Gravitational Wave Echoes: FTFT predicts stronger, more detectable gravitational wave echoes compared to other quantum gravity models (LQG, String Theory), which can be tested with LIGO-Virgo-KAGRA.
Achievements and Results for Fonooni Temporal Field Theory (FTFT)