Taking Quantum-Geometry Dynamics from Talk to Numbers: How QGD Aims for Quantitative Predictions

 I provided the book "Quantum-Geometry Dynamics; an axiomatic approach to physics" to NotebookLM and asked to write a blogpost that answers the question: "How can the qualitative predictions of QGD be transformed into quantitative predictions?" Read the blogpost it created below.

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Hey everyone, it's fascinating to dive into the world of theoretical physics, and recently we've been discussing Quantum-Geometry Dynamics (QGD), an intriguing axiomatic approach to understanding the universe. One question that naturally arises is: how can the interesting ideas within QGD move beyond the qualitative and make concrete, testable predictions with actual numbers? Let's break down how QGD aims to bridge this gap, drawing from the "Quantum-Geometry Dynamics (an axiomatic approach to physics)" document.

At its heart, QGD operates on a foundation of discrete space built from fundamental units called preons(-). Think of it like the smallest pixels making up the image of reality. While we can't directly measure these fundamental building blocks, QGD lays the groundwork for quantitative predictions through several key concepts:

• Fundamental Units and the Speed of Light: QGD proposes fundamental units for things like displacement and momentum, rooted in the properties of preons(+). Crucially, it introduces a constant intrinsic velocity of preons (+), denoted as c, which is also the intrinsic speed of light. While the exact numerical value of these fundamental units might not be given by the theory alone at the outset, QGD defines the relationships between different physical quantities in terms of these units, setting the stage for proportional predictions.
• From Discrete to Continuous: The Emergence of Euclidean Space: While the fundamental level is discrete, QGD includes a crucial "Theorem on the Emergence of Euclidian Space from Quantum-Geometrical Space". This is a game-changer because it means that at everyday scales, and even at astronomical scales, our familiar Euclidean geometry acts as a very good approximation of the underlying discrete structure. This allows physicists working with QGD to use the powerful tools of continuous mathematics when dealing with macroscopic phenomena, making calculations feasible.
• Introducing Metric Properties for Measurable Quantities: Since we can't directly measure the intrinsic properties of preons, QGD introduces the idea of using metric properties. These are essentially scaled versions of the intrinsic properties that can be related to what we actually measure in our labs and telescopes. For example, QGD defines metric velocity and metric mass. The great thing is that the fundamental equations within QGD remain valid even when we substitute these metric properties, as long as all quantities in the equation are metric. This provides a vital link between the theoretical framework and the observable universe.
• The Curious Case of Light Speed: One-Way vs. Two-Way: QGD makes a fascinating prediction about the speed of light. It distinguishes between the intrinsic speed (c), the metric speed (c), and the speed we typically measure using a round trip. The theory predicts that while two-way measurements of the speed of light will be constant and equal to the metric velocity, one-way measurements will be anisotropic (different depending on direction) and will not be constant. Proposing experiments to precisely measure the one-way speed of light is a key step in putting QGD to a quantitative test and potentially determining the metric velocity in relation to the fundamental constant c.
• Key Testable Predictions to Differentiate QGD: The strength of any new theory lies in its ability to make predictions that differ from existing ones. QGD steps up to this challenge with several unique predictions:
• Differences in Gravitational Redshift: QGD posits an intrinsic gravitational redshift at the source due to gravitational acceleration, offering a different perspective on the observed cosmological redshift compared to some interpretations of general relativity.
• Non-Equivalence of Accelerations: QGD suggests that gravitational and non-gravitational acceleration might not be equivalent in all scenarios, proposing experiments to detect effects based on the absolute velocity of a laboratory.
• Momentum Transfer Differences: The theory predicts that the transfer of momentum through electromagnetic interactions will differ measurably from gravitationally imparted momentum due to the underlying preonic structure of particles.
• Dark Matter Halo Properties: QGD offers specific predictions about the distribution of dark matter in galaxies, such as the prohibition of a "cuspy" halo and a flat rotation curve extending further than current models suggest.
• The Nature of LIGO-Virgo Signals: QGD proposes that the signals detected as gravitational waves might actually be preonic waves, offering avenues for potential future experiments to distinguish between these interpretations.
• Anisotropic One-Way Light Speed: The prediction of a non-constant, anisotropic one-way speed of light is a direct and potentially measurable deviation from standard physics.
• Quantifying Gravity: Assigning Value to the Constant k: QGD's equation for gravitational interactions includes a proportionality constant, k. To move from qualitative descriptions of gravity to quantitative predictions of its strength, the value of this constant needs to be determined experimentally. By carefully observing gravitational interactions, measuring metric masses, and determining distances, scientists could potentially infer the value of k, allowing for numerical calculations of gravitational effects within the QGD framework.
• Using Metric Properties for Numerical Predictions: Once we have metric properties linked to measurements and values for fundamental constants within QGD, we can start plugging these into the theory's equations. This would allow for the calculation of quantitative predictions for various phenomena. For instance, by measuring the metric velocity of a galaxy, its metric momentum and energy could be numerically determined using QGD's definitions.

In Conclusion:

Transforming QGD from a fascinating theoretical framework into a quantitatively predictive one is an ongoing process. It hinges on building a robust mathematical structure, defining measurable metric counterparts to fundamental properties, deriving precise relationships between these properties, and crucially, designing and conducting experiments to measure key quantities and determine the values of fundamental constants within the theory. The unique predictions offered by QGD, particularly regarding the one-way speed of light and subtle differences in gravitational and non-gravitational interactions, provide exciting avenues for future research that could either validate or refine this intriguing approach to physics. The journey from qualitative ideas to quantitative predictions is a hallmark of scientific progress, and QGD is actively taking steps along this path.