The Universe is Only Spacetime by John A. Macken

How many component parts are
required to construct the universe? The standard model has so many component parts that
it is difficult to state a specific number. String theory has vibrating strings, branes,
exchange particles and 11 dimensions. This book and technical paper both make the case
that everything in the universe can be formed from the single building block of 4
dimensional spacetime. However, this is not the quiet, smoothly curving spacetime
envisioned by Albert Einstein. General relativity is describing only the macroscopic
properties of spacetime. Quantum mechanics and quantum electrodynamics requires that the
vacuum be filled with a tremendous energy density of quantum fluctuations (zero point
energy). However, even quantum mechanics does not give a precise description of the
properties of the energetic vacuum on the scale of Planck length (~10^{-35} m).
Characterizing the vacuum on this scale is required to show how 4 dimensional spacetime
can be the single component building block of everything in the universe. This book and
technical paper show how all fundamental particles, forces and cosmology are derived from
this energetic 4 dimensional spacetime.

While the book gives the unabridged detailed description, there is now also a 17 page technical paper that summarizes key parts of the information in the book. This paper has recently been accepted for publication as a chapter in the Springer book series titled "Progress in Theoretical Chemistry and Physics", Volume 28. The publication by Springer of this will be in December 2014. However, a preprint is available here.

**
Spacetime Based Foundation of Quantum Mechanics and General Relativity**

John A. Macken

**Abstract:** This work makes the case that everything in the universe (all particles, fields
and forces) is derived from the single building block of 4 dimensional spacetime. The
tremendously large impedance of spacetime (c^{3}/G) permits small amplitude waves in spacetime
to be the universal building block. The spacetime wave-based fermion model is shown to
plausibly possess the correct spin, energy and the ability to appear to be point particles
in experiments. This model also generates the weak gravity curvature of spacetime and the
gravitational force between particles. The electrostatic force between fundamental particles
is also derived and shown to be related to the gravitational force through a simple
difference in exponents. A new constant of nature is proposed which converts electrical
charge into a strain of space. The distortion of spacetime produced by photons is also
analyzed.

Download the technical paper (344 KB pdf)

*
Placed online for comments – August 2014*

The technical paper is very condensed. The 370 page book goes into much more detail, gives clearer explanations and covers many more subjects. The book shows how a broad range of subjects are connected and are explained by the properties of spacetime.

*
Revision 7.1 – Placed online for comments – May 2013*

Quantum mechanics is the most
successful theory devised by man. However, this success is largely a case of the equations
corresponding to experimental observation. The current physical interpretation of
quantum mechanics does not lead to a conceptually understandable model of the universe.
Furthermore, there is clear evidence that the current starting assumptions for some
quantum mechanical equations are missing at least one essential assumption. When equations
fall apart and yield an impossible answer such as infinity, these equations are screaming
that a rigorous extension of the starting assumptions gives nonsense. Renormalization
might seem to fix the problem, but this is merely a case of artificially adjusted the
answer so that it no longer is a logical extension of the starting assumptions. Instead
the unreasonable answer should be taken as an indication that the starting assumptions
are not sufficient to completely describe all aspects of the universe. The missing
assumption is proposed to be: **The universe is only spacetime.**

The approach taken in this book is to start with the simplest assumption (the universe is only spacetime) and examine whether this is the missing assumption that clarifies all of physics. Is it possible to derive a model of the universe using only the single building block of 4 dimensional spacetime? As the model is developed, it is frequently tested to be sure that it is compatible with the equations of quantum mechanics and general relativity. It is found that adding this assumption explains many of the mysteries of quantum mechanics and general relativity. The ultimate support for the accuracy of this assumption is demonstrated because this approach generates predictions which are proven to be correct. For example, gravity and the electrostatic force are shown to be related because when these forces are expressed as waves in spacetime, the equations differ by only a difference in exponents in one term. This term is squared for gravity and not squared for the electromagnetic force. This previously unknown exponent relationship between these forces was derived from this spacetime model but proven correct using standard equations.

To most scientists this
starting assumption will initially seem impossible. How can matter, light, galaxies
and the forces of nature be obtained from what appears to be the empty vacuum of
spacetime? Well, spacetime is far from being a featureless void. As John Archibald
Wheeler said, "Empty space is not empty". The quantum mechanical version of a vacuum
volume is full of activity. Vacuum fluctuations (zero point energy) possess a vast
energy density that only interacts with our observable universe (fermions and bosons)
through quantum mechanical operations. The vacuum energy is shown to give spacetime its
properties such as speed of light, a gravitational constant (G), permeability of
free space (µ_{o}), permittivity of free space (ε_{o}), impedance of spacetime (Z_{s}) and a
bulk modulus (derived here).

Understanding the quantum mechanical properties of spacetime and reconciling these properties with general relativity reveals how this single building block can be the source of everything in the universe. Furthermore, the biggest mysteries of quantum mechanics become conceptually understandable when we adopt the model that builds particles and forces from the quantum mechanical properties of spacetime.

The model of the universe described here not only is compatible with existing equations but goes further. For example, this model gives new insights into the forces of nature. Gravity is shown to be closely related to the other forces of nature. Simple equations show this close relationship and explain why gravity is such a weak force compared to the other forces. Inertia is derived and connected to the energy of fundamental particles. An electrical field is shown to be a distortion of spacetime which can be characterized. Equations are derived that convert charge to a distortion of spacetime. Photons are shown to experience the same impedance as gravitational waves. A new cosmological model of the universe explains how the Big Bang and the expansion of the universe is the result of spacetime undergoing a transformation that continues today.

The content of this book was not first presented in technical papers because the subject is just too large. Only after explaining the big picture concepts in detail in this book has it been possible to write single subject technical papers. In the book, it is necessary to lay out a series of introductory ideas, and then weave these concepts into a single coherent theory. The first three chapters lay the groundwork of physical interpretations and definitions that prepares the reader to understand the proposed model. Development of the wave based model of the universe starts in earnest in chapter 4.

The book is available as a single 5 MB unit (PDF Book Download) or individual chapters are available below. If the book is downloaded, I recommend saving the book (click the save icon), then read the saved version of the book. This will be a larger format and it will not be necessary to download the book for future reading.

**The Universe is Only Spacetime** by John A. Macken

**Table of Contents**

** **

**1 Confined Light Has
Inertia 1-1**

• Light in a Reflecting Box • Confined Black Body Radiation • de Broglie Waves • 8 Particle-like Properties of a Confined Photon

2 Definitions and Concepts from
General Relativity 2-1

• Schwarzschild Solution • Definition of Gravitational Gamma • Schwarzschild Coordinate System • Coordinate Speed of Light • Gravitational Acceleration and the Rate of Time Gradient • Shapiro Experiment • Gravity Increases Volume • Connection Between the Rate of Time and Volume

3 Gravitational Transformations of the
Units of Physics 3-1

• Why Are the Laws of Physics Unchanged When the Rate of Time Changes? • Normalized Coordinate System • Length and Time Transformations • Transformations Required to Preserve the Laws of Physics • Insights From the Transformations

4 Assumptions
4-1

• This Book's Basic Assumption • QM Model of Spacetime • GR Model of Spacetime • Dipole Waves in Spacetime • Planck Length/Time Limitation On Dipole Waves • Impedance of Spacetime • 5 Wave-Amplitude Equations • Bulk Modulus of Spacetime • The Single Fundamental Force

5 Spacetime Particle Model 5-1

•
Spacetime Vortex in a Sea of Vacuum Energy • Particle Design Criteria •
Inertia from Confined Energy • The Rotar Model of a Particle • Quantum Radius
and Quantum Volume of a Rotar • Rotating Grav Field • Analysis of Lobes
• Dynamic Time • Strain Amplitude H_{β } • Particle Size
Analysis • Stability Mechanism • Higgs Boson Not Needed

6 Analysis of the Particle Model and Derivation of Gravity 6-1

•
Rotar Energy Test • Rotar's Angular Momentum Test • Dipole Moment • Quantum
Amplitude Equalities • Circulating Power • Rotar's Theoretical Maximum
Force (Strong Force) • Electromagnetic Force at Distance R_{q}
• Rotar's Gravitational Force at Distance R_{q} • Weakness of
Gravity • Force – Amplitude Relationship • The 4 Forces Are Intimately
Connected

7 Virtual Particles, Vacuum Energy and
Unity 7-1

• Virtual Particle Pairs • Vacuum Energy • Harmonic Oscillators in Spacetime • Energy Density of Vacuum Energy • Energy Density Equals Pressure • Bulk Modulus of Spacetime • Vacuum Energy Is a Superfluid • Stability of Particles Made of Waves • Vacuum Energy Stabilization of a Rotar • Minimum Required Energy Density • Maximum Attracting Force • Asymptotic Freedom • Rotation of Molecules • Unity Hypothesis • Entanglement-Unity Connection

8 Analysis of Gravitational Attraction 8-1

• Nonlinear Effects of Waves in Spacetime • Newtonian Gravitational Equation Derivation • Connection between Gravitational Force and Electromagnetic Force • Equivalence of Acceleration and Gravity Examined • Comparison of a Rotar's Rotating Grav Field and Gravitational Acceleration • Energy Density in the Rotating Grav Field • Gravitational Energy Storage

9 Electromagnetic Conversions and
Spacetime Units 9-1

• Charge Conversion Constant • Spacetime Interpretation of Charge • Impedance of Spacetime Conversion • What Is an Electric Field? • Electric Field Conversion • Proposed Experiments • Spacetime Units Conversion Table

10 Rotar's External Volume 10-1

• Gravitational and Electromagnetic Strain Amplitudes • Electric Field Cancelation • Model of the External Volume of a Rotar • Wavelets • Path Integral • de Broglie Waves • Ψ Function • Relativistic Contraction • Compton Scattering • Double Slit Experiment

11 Photons 11-1

• How Big Is a Photon? • Photon - Definition • Waves in Vacuum Energy • Wave Model of an Electron‑Positron Annihilation • Entanglement • Single Photon Model • Photon's Momentum Uncertainty Angle • Compton Scattering Revisited • Limits on Absorption • Photon Emission from a Single Atom • Recoil • Huygens-Fresnel-Kirchhoff Principle

12 Bound Electrons, Quarks and
Neutrinos 12-1

• Electrons Bound in Atoms • Physical Interpretation of the Ψ Function • Intrinsic Energy of Quarks • Energy of Bound Quarks • Calculation of a Proton's Radius • Removal of a Quark from a Hadron • Gluons • Modeling a Neutrino With Rest Mass • W and Z Bosons

13 Cosmology I – Planck Spacetime 13-1

•
Comoving Coordinates • The -CDM Model • Planck Spacetime • Maximum
Energy Density • Creation of New Proper Volume • Background Gravitational
Gamma of the Universe _{u} • Immature Gravity • Implication of
an Increasing _{u} in the Universe • Energy Density of Planck
Spacetime • Proposed Alternative Model of the Beginning of the Universe
• Cosmic Expansion from _{u} • Starting the Universe from
Planck Spacetime • Radiation Dominated Epoch • Lost Energy Becomes Vacuum
Energy • Estimates of the Current Value of _{u}
• Dark Matter Proposal

14 Cosmology II – Spacetime Transformation
Model 14-1

•
Alternative To The Big Bang Model • Shrinking Meter Sticks • No Event
Horizon • Constant Energy Density When Vacuum Energy Included • Redshift
Analysis • Estimating the Density of Vacuum Energy • Units of Physics in the
Spacetime Transformation Model • 10^{120} Calculation • Does Dark
Energy Exist? • Cooling of the Universe • Black Holes • Time's Arrow • The Fate of
the Universe

15 Definitions, Symbols and Key
Equations 15-1

Some key points from the book are:

- Even though a photon is commonly defined as a massless particle, a photon exhibits inertia if it is confined in an optical resonator. The inertia arises from bidirectional Doppler shifts when the resonator is accelerated. This is intrinsic inertia that does not require a Higgs field. A confined photon is shown to possess a total of 8 particle-like properties. Fundamental particles are not confined photons, but this similarity is used to explain how fundamental particles can be formed out of waves in spacetime. (chapter 1)
- Spacetime is more than 3 spatial dimensions plus time. Spacetime is shown to also have the largest possible impedance and bulk modulus (chapters 4 and 7). Therefore spacetime is a very stiff elastic medium which supports energetic waves.
- Vacuum fluctuations in spacetime are known to be highly energetic (vacuum energy, virtual particle pairs, Casimir effect, etc.). It is proposed that vacuum fluctuations are actually dipole waves in spacetime that lack quantized angular momentum. General relativity forbids dipole waves in spacetime but they are proposed to be permitted by the uncertainty principle. This is the same as saying that the fluctuating spatial displacement of spacetime cannot exceed Planck length and the fluctuating temporal displacement of spacetime cannot exceed Planck time. (chapter 4)
- The dipole waves in spacetime that form vacuum fluctuations are proposed to have the properties of a superfluid including the inability to possess angular momentum. Any angular momentum present in the sea of vacuum fluctuations is quantized. (chapter 7)
- A fundamental particle model is proposed that is a rotating distortion is spacetime that forms a closed loop, one Compton wavelength in circumference. This model depends on an interaction with the vacuum energy to form stable resonances. The proposed structure is analyzed and shown to possess the required particle-like properties including quantized angular momentum, intrinsic inertia (rest mass) and the ability to appear to be a point particle in a collision experiment. The quantum mechanical properties of particles are made conceptually understandable. (chapters 5, 6, 7)
- This model generates only one truly fundamental force. This is the repulsive force exhibited when waves in spacetime, propagating at the speed of light, are deflected. Variations of this single fundamental force result in the four forces of nature. Attraction between particles is explained. (chapters 4, 5, 6 ,8)
- Gravity is derived from this fundamental force. The reason for the weakness of gravity is shown to be that gravity is associated with the nonlinearity of spacetime which is a weak second order effect. New relationships between the forces of nature are obtained using insights from the wave-based model. (chapters 6 and 8)
- Compton scattering has been used to "prove" that a photon must have particle-like properties. However, it is shown that a purely wave based explanation of both an electron and a photon gives the same scattering characteristics. Furthermore, the wave-based model is actually superior because it shows how it is possible for the electron to go from its initial velocity to its final velocity without accelerating through intermediate velocities. (chapter 9)
- A new cosmological model of the universe is proposed that is based entirely on the properties of spacetime. The expansion of the universe is viewed as being the result of a transformation of spacetime that started with the "Big Bang" and continues today. This model eliminates the need for dark energy and it gives different predictions about the future of the universe. (chapters 13, 14)

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