Energy-Information Conservation Violations via Wave Scattering in Discrete and Non-discrete Spacetimes.
Our Physics is broken… and here’s why.
This paper delves into the potential inconsistencies and paradoxes arising from the interaction between Quantum Mechanics and General Relativity, particularly within the context of Discrete Space-time, but every paradox noted in this paper also applies to Continuous or Non-Discrete Space-time.
We explore how the fundamental principles of both theories lead to contradictions in scenarios involving wave propagation and scattering, especially under the influence of cosmological expansion. The analysis suggests a need for revisiting our understanding of Energy and Information Conservation in contexts where these theories overlap.
Introduction
Quantum Mechanics establishes that energy is quantized into discrete units known as quanta, implying an indivisible minimum of energy transfer. Conversely, General Relativity describes a continuous, dynamic spacetime that expands, affecting the propagation of waves. This paper investigates whether these frameworks can coexist without leading to violations of energy and information conservation principles, especially in scenarios involving wave scattering.
Quantum Mechanics and the Quanta:
Quantum Mechanics posits that energy cannot be subdivided below a certain quantum level. This principle underpins phenomena like the photoelectric effect but raises questions about energy distribution in wave spreading scenarios.
Wave Propagation in Expanding Space:
Electromagnetic and gravitational waves in an expanding universe experience redshift, on top of the normal fall in intensity due to increase in the total wavefront area.
The energy of these waves decreases as their wavelength increases, seemingly challenging the conservation of energy when they reach an amplitude equal to the minimum resolution of Space-time 1 Planck length, or when a photon’s energy falls below 1 quanta.
Redshift and Energy Dissipation:
The energy of a photon, given by E=hf, where h is Planck’s constant and f is frequency, appears to dissipate over cosmic distances due to redshift and normal wavefront dissipation.
This phenomenon suggests a form of energy loss which is at odds with the quantum notion of indivisible energy quanta.
Wavefront Expansion and Energy Conservation:
As electromagnetic waves propagate, their intensity diminishes over distance due to spatial expansion, not energy loss. However, when considering an expanding universe, this expansion could theoretically reduce wave amplitude to below the quantum threshold, leading to an evident paradox.
Gravitational Waves and Discrete Spacetime:
Similarly, gravitational waves, which should also comply with energy conservation, could theoretically reach amplitudes where their energy quanta are below measurable levels. This scenario particularly conflicts with the quantum nature of Gravity at the Planck scale, where discrete spacetime might not allow for such diminution without information loss.
Information-Energy Paradox:
The conservation of both Energy and Information seems to be compromised when waves reach minimal amplitudes in an expanding universe. If waves cannot be detected or their information cannot be retrieved due to being below a quantum threshold, this suggests a breakdown in the information conservation principle central to quantum mechanics.
Basically, given that Space-time has a “pixel size” of 1 Planck length, when waves, either electromagnetic or gravitational, reach and amplitude of 1 Planck length, they either:
- Completely Dissipate
(Energy Loss / Information Loss) - Keep Propagating forever at 1 ℓP of amplitude
( Energy Creation / Information Loss & Creation)
Both of these possibilities, in either Discrete or Non-Discrete Space-time, are incompatibles with our understanding of both theories.
Reconciling the Theories:
This paper proposes that the observed discrepancies might indicate either:
- A flaw in our current understanding of quantum mechanics in cosmological contexts, where quantum effects might interact differently with Space-time than previously thought.
- A need for a new theoretical framework that reconciles these contradictions in either discrete and/or continuous aspects of Space-time, potentially through modifications to existing theories or the introduction of new physical constants or principles like we explored in the case of Particle Collision in Compressed Space-time Regimes that hints to the need to integrate space-time conditions in the energetic calculations of relativistic particle collisions.
If these paradoxes hold true, they necessitate a reevaluation of how we understand energy and information in an expanding universe, potentially leading to new interpretations of dark energy’s role or the very fabric of spacetime.
Conclusion
The investigation into wave scattering in discrete spacetime reveals significant challenges in reconciling Quantum Mechanics with General Relativity.
The apparent violations of energy and information conservation at cosmological scales suggest that current physical models might need substantial revision or expansion. This paper calls for further theoretical and empirical research to either resolve these paradoxes or to develop a more comprehensive theory that can account for these phenomena without contradictions.
Ernesto Eduardo Dobarganes
(with the assistance of Grok)
