Introduction
The Big Bang is the presiding theory of the universe's origin: everything began from a single point — a singularity — from which the universe expanded, and continues to expand to this day.
But did it really happen?
Despite its widespread acceptance, the theory has faced serious challenges. Evidence accumulated over decades points to phenomena the Big Bang simply cannot explain without invoking undetected entities such as Dark Matter and Dark Energy. In this article we trace that evidence, and introduce a 4D Geometric Cosmological Model that offers a coherent alternative — one that requires none of these mysterious additions.
Key takeaways
- The Big Bang model requires 96% of the universe to consist of undetected Dark Matter and Dark Energy — a significant theoretical debt that alternative models do not carry.
- Quantised Red Shift, discovered by William Tifft in the 1970s, shows galaxies receding in discrete velocity bands rather than smoothly — a pattern the standard expansion model cannot explain but which mirrors the quantised shells of electron clouds.
- The 4D Geometric Cosmological Model interprets the [Cosmic Microwave Background](/what-is-the-cosmic-microwave-background/) as the measurable energy of the 4D Aether (Planck's Zero Point Energy), offering a framework that accounts for observed large-scale structure without invoking undetected matter or energy.
What is the Cosmological Red Shift?
To understand the debate, we first need to understand Red Shift — the key observation on which Big Bang Theory is built.
In 1842, Christian Doppler described how a moving sound source changes its perceived pitch. An ambulance siren sounds higher as it approaches and lower as it recedes. The same principle applies to light: a source moving away stretches its wavelength, shifting it towards the red end of the spectrum.
Stars are predominantly hydrogen, which absorbs specific frequencies of light — its characteristic spectral lines. When astronomers examine those lines in the light from distant galaxies, they find them shifted towards red, suggesting those galaxies are moving away from us.
Of the billions of galaxies observed, only around 100 show a Blue Shift — all within our local galaxy cluster. Every other galaxy appears to be receding. The question is: why?
The Expanding Universe
In 1923, Edwin Hubble used a new 2.5 m reflector telescope to resolve individual Cepheid stars within nearby galaxies. By measuring their brightness cycles, he calculated distances. Comparing these to spectral data, he found that the further away a galaxy was, the greater its Red Shift. In 1929 he published his law:
$$z = r \times H \quad \Rightarrow \quad r = \frac{H}{z}$$
z = redshift · r = distance · H = Hubble constant
The recession velocity of a galaxy is given by:
$$v = H \times D$$
v = velocity · H = Hubble constant · D = distance
This defines the radius of the Hubble Sphere — beyond which objects recede faster than light. The boundary is the Hubble Length:
$$\frac{c}{H} = 14.4 \text{ billion light years}$$
This is close to the accepted age of the universe (13.8 billion years). Yet we can observe objects up to 46.5 billion light years away — more than three times further. The explanation offered is that space-time itself is expanding, carrying objects beyond the Hubble boundary.
The Problem of Dark Energy
For space-time to expand faster than light requires enormous energy. This led to the proposal of Dark Energy — a force accelerating the expansion — said to make up around 73% of the universe. A further 23% is attributed to Dark Matter, the invisible substance thought to hold galaxies together.
Despite vast experimental effort, neither Dark Energy nor Dark Matter has been detected. Yet their existence is routinely presented as scientific fact — because without them, the Big Bang model cannot stand.
Does Light Shift in a Medium?
This raises a key question: is there another mechanism that could explain the Red Shift — one that does not require an expanding universe at all?
The answer may lie in how light behaves in a medium. Light travels at a constant speed in a vacuum, but its frequency can change when it passes through matter. When a photon is absorbed by an atom, it excites an electron into a higher shell. When the electron drops back, a new photon is emitted — at a slightly different frequency. Each step is a discrete quantum event, not a smooth wave oscillation.
If the vacuum of space is not truly empty — if it contains a background energy field — then light travelling across billions of light years could accumulate frequency shifts, not because galaxies are receding, but because of the medium itself.
The Energy in the Vacuum
In 1911, Max Planck proposed that a background energy must exist in the vacuum for quantum theory to hold — he called it Zero Point Energy.
In 1964, Arno Penzias and Robert Wilson discovered the Cosmic Microwave Background (CMB) — a uniform energy field permeating the entire universe. It was quickly claimed as the echo of the Big Bang. But the CMB turned out to be isotropic: perfectly uniform in all directions, with no trace pointing towards an origin singularity. A genuine explosion would leave an asymmetric imprint.
Rather than abandon the Big Bang, theorists added inflation — a phase of hyper-rapid early expansion to mix the CMB into uniformity — plus Einstein's cosmological constant, Dark Matter, and Dark Energy. Even with all these additions, the Hubble constant measured via the CMB differs from direct galactic observation by around 10%. This unresolved gap is now called the Crisis in Cosmology.
The Quantised Red Shift
From the 1970s onward, detailed surveys revealed an anomaly the Big Bang cannot accommodate: the Red Shift does not increase smoothly with distance. It appears in discrete bands — it is quantised.
This has been confirmed across multiple independent surveys, most recently in 2020. William Tifft (1991) found the periodicity has a ratio of 8/3, from which all other quantised values are derived.
A smoothly expanding universe produces a smooth Red Shift. A quantised Red Shift would require the universe to alternate between rapid expansion and complete standstill — with no known mechanism to drive such a cycle. The mainstream response has largely been to dismiss or discredit this finding, rather than explain it.
Baryon Acoustic Oscillations
The CMB also reveals a striking pattern in how ordinary (baryonic) matter is distributed. Galaxy clusters are not scattered randomly — they lie on enormous spherical shells with a uniform radius of around 150 megaparsecs (4.629 × 10²⁴ metres). These are called Baryon Acoustic Oscillations (BAOs).
The electron cloud of an atom is arranged in quantised spherical shells around a central nucleus. The same geometry, at a scale 10³⁶ times larger, appears in the distribution of galaxies. This is not a coincidence the Big Bang model can easily explain.
A 4D Geometric Alternative
Existing alternatives to the Big Bang — steady-state theories, the electric universe model — are based on measurements of energy, not geometry. A geometric model has been conspicuously absent, despite the fact that space is fundamentally geometric in nature.
The system of Dimensionless Science approaches cosmology through geometric ratios, defining over 40 scientific constants in a coherent framework. From this perspective, a new picture emerges.
The Zero Point Field and the Cosmic Microwave Background are one and the same: a 4D Aether that permeates all of space. In this model, the photon is a wave — not a particle or a wave packet. Quantisation is a property of 4D space itself. Light does not travel through space; it propagates in quantised steps through the rotation of a 4D polytope.
Think of it like a flipbook animation: in 3D, we perceive only the individual frames — the discrete quantum steps. The underlying 4D rotation connecting those frames is invisible to us, just as the rotation of a tesseract cannot be directly observed in three dimensions.
Between the inner and outer cube of a rotating tesseract, a sphere can be inscribed. For an inner cube of side length 1, the surrounding sphere has diameter √3 — a ratio of 1:√3. In this 4D model, the universe is continuously recreated at the smallest scales — producing simultaneous expansion and contraction. This resolves the need for Dark Energy: the universe does not need an external force to maintain itself, any more than the atom does.
In 2005, the MAGIC telescopes detected photons at different energy levels arriving at measurably different times — evidence that space-time behaves like Quantum Foam at the smallest scales. This supports the view that the Red Shift is partly a cumulative property of the 4D medium through which light propagates.
The Fractal Holographic Universe
The spherical geometry of BAOs invites a striking comparison with atomic structure. The BAO radius of ~500 million light years converts to approximately 4.730 × 10³⁶ picometres. The actual measured radius of a hydrogen atom is around 25 picometres — a value conventional atomic theory cannot explain, but which is derived in our theory of Geo-quantum mechanics.
Dividing the BAO value by √3 gives 2.7 × 10³⁶ — within 0.2 of the hydrogen radius when scaled to the atomic level, well within experimental error.
Why √3? The maximum speed of sound in an infinitely dense medium is √c. Setting the speed of light to 3, the maximum speed of sound becomes √3 — the same ratio that relates the inscribed sphere of a cube to its circumscribed sphere.
Both the baryon sphere and the hydrogen atom have matter at the centre, matter in the shell, and a void between. The baryon spheres are primarily composed of hydrogen. The whole contains the part, and the part reflects the whole — this is fractal geometry. If an observer existed at a scale vastly larger than our universe, they would perceive the Baryon sphere exactly as we perceive the atom.
The Egg Carton Universe
Galactic superclusters reveal further geometric order. Their formation follows an octahedral geometry — the same form produced by P-orbital electrons in the atom.
The octahedral structure accounts for the large-scale clustering of matter without invoking Dark Energy. Completed P-orbital sets in the atom produce noble gases — completely inert, forming no bonds. The parallel at galactic scale, where void regions resist further matter accumulation, awaits deeper investigation.
The Quantised Universe and the Planck Constant
This section is more technically detailed — feel free to skip to the Conclusion if you prefer.
Barry Setterfield proposed a relationship between the quantisation of the atom and that at the galactic scale. The bridge lies in the Planck constant — the fundamental quantity governing energy quantisation in quantum physics.
Dimensionless Science expresses the Planck constant geometrically as:
$$h = \frac{\sqrt{3^3/4^3}}{\pi^2}$$
This is the 4D cubic solution: two cubes — one with side length 3, one with side length 4. The ratio of their volumes, square-rooted, then divided by π² (a function of a 4D torus with radius 1 and ring diameter ½).
Now: √(3³/4³) = √(27/64) = 3√3/8. Dividing 3√3 by √3 gives 3/8 = 0.375 — the exact quantised Red Shift constant found by William Tifft.
The unification of the Planck constant with the Quantised Red Shift ratio is the first step towards a 4D Geometric Cosmological Model. It suggests the CMB is not the echo of an explosion, but the baseline energy of a 4D geometric universe — one that requires no Dark Matter, no Dark Energy, and no expansion faster than light.
Conclusion
No one can be certain how the universe began. But the Big Bang model requires a growing list of undetected entities — Dark Matter, Dark Energy, inflation — to remain coherent, and still cannot explain the Quantised Red Shift, the perfect isotropy of the CMB, or the precise geometric regularity of Baryon Acoustic Oscillations.
The 4D Geometric Cosmological Model requires none of these. The universe expands and contracts simultaneously — a natural property of 4D rotation. The Red Shift is partly the cumulative effect of light propagating through the 4D Aether, and partly the quantised nature of 4D space itself. Galactic structure mirrors atomic structure at every scale. The universe is not a one-time explosion from a point of origin — it is a fractal holographic entity, structured by geometry from the smallest quantum to the largest cosmic scale.
To explore further: - The 4D Aether - Dimensionless Science - Atomic Geometry - Geo-quantum Mechanics
FAQ
What are Dark Matter and Dark Energy?
Dark Matter is a hypothetical substance proposed to explain why galaxies hold together despite lacking enough visible mass. Dark Energy is a hypothetical force proposed to explain the accelerating expansion of the universe. Neither has ever been directly detected. Together they are said to make up around 96% of the universe — yet their existence rests entirely on the assumption that the Big Bang model is correct.
What is the Quantised Red Shift?
Rather than shifting smoothly with distance as the Big Bang model predicts, the Red Shift of distant objects appears in discrete bands — it is quantised. This was first documented in the 1970s and confirmed as recently as 2020. William Tifft (1991) found the periodicity has a ratio of 8/3. A quantised Red Shift cannot be explained by a smoothly expanding universe.
What are Baryon Acoustic Oscillations?
Baryonic matter is ordinary matter made of protons and neutrons — the stuff of stars, planets and galaxies. Baryon Acoustic Oscillations are a pattern in how this matter is distributed: galaxy clusters lie on enormous spherical shells with a remarkably uniform radius of around 150 megaparsecs. Their regularity mirrors the quantised shells of the electron cloud in the atom, suggesting the universe is geometrically structured at all scales.
If the Cosmic Microwave Background is not the remnant of the Big Bang, where did it come from?
In the 4D geometric model, the CMB is the measurable energy of the 4D Aether — a background field that permeates all of space. It is the same energy Max Planck called Zero Point Energy in 1911. The mainstream reluctance to associate the CMB with a zero-point field is a matter of interpretation, not evidence.
If we can observe objects 46.5 billion light years away, does that mean the universe is older than we think?
It is possible, though we would need to account for the abundance of radioactive elements such as uranium (half-life 4.5 billion years) and thorium (half-life 14 billion years) still present on Earth. Their existence sets a rough constraint on timescales, unless other mechanisms — such as ongoing nucleosynthesis — are at work.